TSTP Solution File: ALG023+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : ALG023+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 : n027.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 18:04:48 EDT 2022
% Result : Unsatisfiable 194.90s 195.12s
% Output : Proof 194.97s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11 % Problem : ALG023+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n027.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 11:39:56 EDT 2022
% 0.12/0.33 % CPUTime :
% 194.90/195.12 % SZS status Theorem
% 194.90/195.12 (* PROOF-FOUND *)
% 194.90/195.12 (* BEGIN-PROOF *)
% 194.90/195.12 % SZS output start Proof
% 194.90/195.12 1. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 194.90/195.12 2. ((e0) != (e0)) ### NotEqual
% 194.90/195.12 3. ((op (e0) (e0)) != (op (unit) (e0))) ((unit) = (e0)) ### NotEqual 1 2
% 194.90/195.12 4. ((op (e0) (e3)) = (e0)) ((e0) != (op (e0) (e3))) ### Sym(=)
% 194.90/195.12 5. ((op (e0) (e0)) != (op (e0) (e3))) ((op (unit) (e0)) = (e0)) ((op (e0) (e3)) = (e0)) ((unit) = (e0)) ### Trans 3 4
% 194.90/195.12 6. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 194.90/195.12 7. ((e1) != (e1)) ### NotEqual
% 194.90/195.12 8. ((op (e0) (e1)) != (op (unit) (e1))) ((unit) = (e0)) ### NotEqual 6 7
% 194.90/195.12 9. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=)
% 194.90/195.12 10. ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e1)) = (e1)) ((op (e0) (e3)) = (e1)) ((unit) = (e0)) ### Trans 8 9
% 194.90/195.12 11. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 194.90/195.12 12. ((e2) != (e2)) ### NotEqual
% 194.90/195.12 13. ((op (e0) (e2)) != (op (unit) (e2))) ((unit) = (e0)) ### NotEqual 11 12
% 194.90/195.12 14. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 194.90/195.12 15. ((op (e0) (e2)) != (op (e0) (e3))) ((op (unit) (e2)) = (e2)) ((op (e0) (e3)) = (e2)) ((unit) = (e0)) ### Trans 13 14
% 194.90/195.12 16. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 194.90/195.12 17. ((op (e1) (e1)) != (op (e1) (e1))) ### Refl(=)
% 194.90/195.12 18. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.12 19. ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e0)) ### TransEq 16 17 18
% 194.90/195.12 20. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.12 21. ((e3) != (e3)) ### NotEqual
% 194.90/195.12 22. ((op (e0) (e3)) != (op (op (e3) (e0)) (e3))) ((op (e3) (e0)) = (e0)) ### NotEqual 20 21
% 194.90/195.12 23. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom
% 194.90/195.12 24. ((op (e3) (op (e0) (e3))) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ### NotEqual 21 23
% 194.90/195.12 25. ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e0)) ### Trans 22 24
% 194.90/195.12 26. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.12 27. ((op (e1) (e3)) != (op (op (e3) (e0)) (e3))) ((op (e3) (e0)) = (e1)) ### NotEqual 26 21
% 194.90/195.12 28. ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e1)) ### Trans 27 24
% 194.90/195.12 29. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.12 30. ((op (e2) (e3)) != (op (op (e3) (e0)) (e3))) ((op (e3) (e0)) = (e2)) ### NotEqual 29 21
% 194.90/195.12 31. ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e3) (e0)) = (e2)) ### Trans 30 24
% 194.90/195.12 32. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.12 33. ((op (e0) (e1)) != (op (op (e3) (e2)) (e1))) ((op (e3) (e2)) = (e0)) ### NotEqual 32 7
% 194.90/195.12 34. ((op (e2) (e1)) = (e1)) ((op (e2) (e1)) != (e1)) ### Axiom
% 194.90/195.12 35. ((op (e3) (op (e2) (e1))) != (op (e3) (e1))) ((op (e2) (e1)) = (e1)) ### NotEqual 21 34
% 194.90/195.12 36. ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e1)) ((op (e3) (e2)) = (e0)) ### Trans 33 35
% 194.90/195.12 37. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=)
% 194.90/195.12 38. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.12 39. (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e2)) = (e1)) ((op (e2) (e2)) = (e0)) ### NotAnd 37 38
% 194.90/195.12 40. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e1)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ### ConjTree 39
% 194.90/195.12 41. ((op (e3) (e0)) = (e3)) ((e3) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.12 42. ((op (e3) (e0)) != (op (op (e3) (e0)) (e0))) ((op (e3) (e0)) = (e3)) ### NotEqual 41 2
% 194.90/195.12 43. ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (e1)) ### Axiom
% 194.90/195.12 44. ((op (e3) (op (e0) (e0))) != (op (e3) (e1))) ((op (e0) (e0)) = (e1)) ### NotEqual 21 43
% 194.90/195.12 45. ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e0) (e0)) = (e1)) ((op (e3) (e0)) = (e3)) ### Trans 42 44
% 194.90/195.12 46. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 45
% 194.90/195.12 47. ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (e2)) ### Axiom
% 194.90/195.12 48. ((op (e3) (op (e0) (e0))) != (op (e3) (e2))) ((op (e0) (e0)) = (e2)) ### NotEqual 21 47
% 194.90/195.12 49. ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e0) (e0)) = (e2)) ((op (e3) (e0)) = (e3)) ### Trans 42 48
% 194.90/195.12 50. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 49
% 194.90/195.12 51. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=)
% 194.90/195.12 52. ((op (e3) (e2)) != (op (op (e3) (e3)) (e2))) ((op (e3) (e3)) = (e3)) ### NotEqual 51 12
% 194.90/195.12 53. ((op (e3) (e2)) = (e1)) ((op (e3) (e2)) != (e1)) ### Axiom
% 194.90/195.12 54. ((op (e3) (op (e3) (e2))) != (op (e3) (e1))) ((op (e3) (e2)) = (e1)) ### NotEqual 21 53
% 194.90/195.12 55. ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e2)) = (e1)) ((op (e3) (e3)) = (e3)) ### Trans-sym 52 54
% 194.90/195.12 56. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e1)) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 55
% 194.90/195.12 57. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e2)) = (e1)) ### DisjTree 40 46 50 56
% 194.90/195.12 58. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.12 59. ((op (e2) (e1)) != (op (op (e3) (e2)) (e1))) ((op (e3) (e2)) = (e2)) ### NotEqual 58 7
% 194.90/195.12 60. ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e1)) ((op (e3) (e2)) = (e2)) ### Trans 59 35
% 194.90/195.12 61. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.12 62. ((op (e3) (e2)) != (op (op (e3) (e2)) (e2))) ((op (e3) (e2)) = (e3)) ### NotEqual 61 12
% 194.90/195.12 63. ((op (e2) (e2)) = (e0)) ((op (e2) (e2)) != (e0)) ### Axiom
% 194.90/195.12 64. ((op (e3) (op (e2) (e2))) != (op (e3) (e0))) ((op (e2) (e2)) = (e0)) ### NotEqual 21 63
% 194.90/195.12 65. ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e2)) = (e0)) ((op (e3) (e2)) = (e3)) ### Trans-sym 62 64
% 194.90/195.12 66. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e3) (e2)) = (e3)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 65
% 194.90/195.12 67. ((op (e2) (e2)) = (e1)) ((op (e2) (e2)) != (e1)) ### Axiom
% 194.90/195.12 68. ((op (e3) (op (e2) (e2))) != (op (e3) (e1))) ((op (e2) (e2)) = (e1)) ### NotEqual 21 67
% 194.90/195.12 69. ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e2)) = (e1)) ((op (e3) (e2)) = (e3)) ### Trans-sym 62 68
% 194.90/195.12 70. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e3)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 69
% 194.90/195.12 71. ((op (e1) (e1)) = (e2)) ((e2) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.12 72. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.12 73. (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) ((op (e1) (e1)) = (e2)) ### NotAnd 71 72
% 194.90/195.13 74. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ### ConjTree 73
% 194.90/195.13 75. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom
% 194.90/195.13 76. ((op (e3) (op (e2) (e2))) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 21 75
% 194.90/195.13 77. ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e3) (e2)) = (e3)) ### Trans 62 76
% 194.90/195.13 78. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e2)) = (e3)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 77
% 194.90/195.13 79. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) = (e3)) ### DisjTree 66 70 74 78
% 194.90/195.13 80. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ### DisjTree 36 57 60 79
% 194.90/195.13 81. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 82. ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ((unit) = (e0)) ### Trans 8 81
% 194.90/195.13 83. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.13 84. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 85. (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e1)) = (e2)) ((op (e1) (e1)) = (e0)) ### NotAnd 83 84
% 194.90/195.13 86. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ### ConjTree 85
% 194.90/195.13 87. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=)
% 194.90/195.13 88. ((op (e3) (e1)) != (op (op (e3) (e3)) (e1))) ((op (e3) (e3)) = (e3)) ### NotEqual 87 7
% 194.90/195.13 89. ((op (e3) (e1)) = (e2)) ((op (e3) (e1)) != (e2)) ### Axiom
% 194.90/195.13 90. ((op (e3) (op (e3) (e1))) != (op (e3) (e2))) ((op (e3) (e1)) = (e2)) ### NotEqual 21 89
% 194.90/195.13 91. ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) = (e2)) ((op (e3) (e3)) = (e3)) ### Trans 88 90
% 194.90/195.13 92. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e2)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 91
% 194.90/195.13 93. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e1)) = (e2)) ### DisjTree 86 46 50 92
% 194.90/195.13 94. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 95. ((op (e3) (e3)) != (op (op (e3) (e1)) (e3))) ((op (e3) (e1)) = (e3)) ### NotEqual 94 21
% 194.90/195.13 96. ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (e0)) ### Axiom
% 194.90/195.13 97. ((op (e3) (op (e1) (e3))) != (op (e3) (e0))) ((op (e1) (e3)) = (e0)) ### NotEqual 21 96
% 194.90/195.13 98. ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e0)) ((op (e3) (e1)) = (e3)) ### Trans-sym 95 97
% 194.90/195.13 99. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 80 82 93 98
% 194.90/195.13 100. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 99
% 194.90/195.13 101. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.13 102. ((op (e2) (e3)) != (op (op (e2) (e1)) (e3))) ((op (e2) (e1)) = (e2)) ### NotEqual 101 21
% 194.90/195.13 103. ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (e0)) ### Axiom
% 194.90/195.13 104. ((op (e2) (op (e1) (e3))) != (op (e2) (e0))) ((op (e1) (e3)) = (e0)) ### NotEqual 12 103
% 194.90/195.13 105. ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e1) (e3)) = (e0)) ((op (e2) (e1)) = (e2)) ### Trans-sym 102 104
% 194.90/195.13 106. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.13 107. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.13 108. (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e2) (e1)) = (e3)) ((op (e1) (e1)) = (e0)) ### NotAnd 106 107
% 194.90/195.13 109. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ### ConjTree 108
% 194.90/195.13 110. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom
% 194.90/195.13 111. ((op (e3) (op (e0) (e0))) != (op (e3) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 21 110
% 194.90/195.13 112. ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e0) (e0)) = (e3)) ((op (e3) (e0)) = (e3)) ### Trans 42 111
% 194.90/195.13 113. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 112
% 194.90/195.13 114. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e2) (e1)) = (e3)) ### DisjTree 109 46 50 113
% 194.90/195.13 115. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 114
% 194.90/195.13 116. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 19 100 105 115
% 194.90/195.13 117. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 194.90/195.13 118. ((op (e1) (e0)) != (op (e1) (unit))) ((unit) = (e0)) ### NotEqual 7 117
% 194.90/195.13 119. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=)
% 194.90/195.13 120. ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (e1) (e3)) = (e1)) ((unit) = (e0)) ### Trans 118 119
% 194.90/195.13 121. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 194.90/195.13 122. ((op (e3) (op (e1) (e3))) != (op (e3) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 21 121
% 194.90/195.13 123. ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e3) (e1)) = (e3)) ### Trans-sym 95 122
% 194.90/195.13 124. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 80 82 93 123
% 194.90/195.13 125. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 124
% 194.90/195.13 126. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.13 127. ((op (e2) (e1)) != (op (op (e2) (e1)) (e1))) ((op (e2) (e1)) = (e2)) ### NotEqual 126 7
% 194.90/195.13 128. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 194.90/195.13 129. ((op (e2) (op (e1) (e1))) != (op (e2) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 12 128
% 194.90/195.13 130. ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e2) (e1)) = (e2)) ### Trans-sym 127 129
% 194.90/195.13 131. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 19 125 130 108
% 194.90/195.13 132. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### ConjTree 19
% 194.90/195.13 133. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=)
% 194.90/195.13 134. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.13 135. (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e2) (e2)) = (e1)) ### NotAnd 133 134
% 194.90/195.13 136. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e3) (e2)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ### ConjTree 135
% 194.90/195.13 137. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.13 138. ((op (e2) (e1)) = (e0)) ((e0) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.13 139. (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) = (e3)) ### NotAnd 137 138
% 194.90/195.13 140. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e0)) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ### ConjTree 139
% 194.90/195.13 141. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ### DisjTree 132 136 74 140
% 194.90/195.13 142. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.13 143. ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ((unit) = (e0)) ### Trans 13 142
% 194.90/195.13 144. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 194.90/195.13 145. ((op (e3) (e0)) != (op (e3) (unit))) ((unit) = (e0)) ### NotEqual 21 144
% 194.90/195.13 146. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.13 147. ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e3) (e2)) = (e3)) ((unit) = (e0)) ### Trans 145 146
% 194.90/195.13 148. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 141 39 143 147
% 194.90/195.13 149. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 150. ((op (e1) (e3)) != (op (op (e3) (e1)) (e3))) ((op (e3) (e1)) = (e1)) ### NotEqual 149 21
% 194.90/195.13 151. ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (e3)) ### Axiom
% 194.90/195.13 152. ((op (e3) (op (e1) (e3))) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ### NotEqual 21 151
% 194.90/195.13 153. ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) = (e1)) ### Trans 150 152
% 194.90/195.13 154. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 155. ((op (e3) (e1)) != (op (op (e3) (e1)) (e1))) ((op (e3) (e1)) = (e3)) ### NotEqual 154 7
% 194.90/195.13 156. ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (e0)) ### Axiom
% 194.90/195.13 157. ((op (e3) (op (e1) (e1))) != (op (e3) (e0))) ((op (e1) (e1)) = (e0)) ### NotEqual 21 156
% 194.90/195.13 158. ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e1)) = (e0)) ((op (e3) (e1)) = (e3)) ### Trans-sym 155 157
% 194.90/195.13 159. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 158
% 194.90/195.13 160. ((op (e1) (e1)) = (e2)) ((op (e1) (e1)) != (e2)) ### Axiom
% 194.90/195.13 161. ((op (e3) (op (e1) (e1))) != (op (e3) (e2))) ((op (e1) (e1)) = (e2)) ### NotEqual 21 160
% 194.90/195.13 162. ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e1)) = (e2)) ((op (e3) (e1)) = (e3)) ### Trans 155 161
% 194.90/195.13 163. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ### ConjTree 162
% 194.90/195.13 164. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom
% 194.90/195.13 165. ((op (e3) (op (e1) (e1))) != (op (e3) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 21 164
% 194.90/195.13 166. ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e1)) = (e3)) ((op (e3) (e1)) = (e3)) ### Trans 155 165
% 194.90/195.13 167. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 166
% 194.90/195.13 168. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 136 163 167
% 194.90/195.13 169. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 70 163 167
% 194.90/195.13 170. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 168 57 143 169
% 194.90/195.13 171. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 148 153 93 170
% 194.90/195.13 172. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 171
% 194.90/195.13 173. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ### DisjTree 135 57 143 69
% 194.90/195.13 174. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e2) (e2)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 173
% 194.90/195.13 175. ((unit) = (e0)) ((e0) != (unit)) ### Sym(=)
% 194.90/195.13 176. ((op (e2) (e0)) != (op (e2) (unit))) ((unit) = (e0)) ### NotEqual 12 175
% 194.90/195.13 177. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 194.90/195.13 178. ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) ((op (e2) (e2)) = (e2)) ((unit) = (e0)) ### Trans 176 177
% 194.90/195.13 179. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 194.90/195.13 180. ((op (e1) (e2)) = (e0)) ((e0) != (op (e1) (e2))) ### Sym(=)
% 194.90/195.13 181. (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e1) (e2)) = (e0)) ((op (e2) (e2)) = (e3)) ### NotAnd 179 180
% 194.90/195.13 182. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 172 174 178 181
% 194.90/195.13 183. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 184. ((op (e2) (e0)) != (op (op (e3) (e1)) (e0))) ((op (e3) (e1)) = (e2)) ### NotEqual 183 2
% 194.90/195.13 185. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom
% 194.90/195.13 186. ((op (e3) (op (e1) (e0))) != (op (e3) (e0))) ((op (e1) (e0)) = (e0)) ### NotEqual 21 185
% 194.90/195.13 187. ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) = (e2)) ### Trans 184 186
% 194.90/195.13 188. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 80 82 187 170
% 194.90/195.13 189. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 188
% 194.90/195.13 190. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e2) (e1)) = (e2)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) ### ConjTree 130
% 194.90/195.13 191. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 194.90/195.13 192. ((op (e2) (e3)) = (e0)) ((e0) != (op (e2) (e3))) ### Sym(=)
% 194.90/195.13 193. (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e3)) = (e0)) ((op (e3) (e3)) = (e1)) ### NotAnd 191 192
% 194.90/195.13 194. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e2) (e3)) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ### ConjTree 193
% 194.90/195.13 195. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 178
% 194.90/195.13 196. ((op (e1) (e1)) = (e3)) ((op (e1) (e1)) != (e3)) ### Axiom
% 194.90/195.13 197. ((op (e2) (op (e1) (e1))) != (op (e2) (e3))) ((op (e1) (e1)) = (e3)) ### NotEqual 12 196
% 194.90/195.13 198. ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (e1)) = (e3)) ((op (e2) (e1)) = (e2)) ### Trans 127 197
% 194.90/195.13 199. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 198
% 194.90/195.13 200. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) ((unit) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e3)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) = (e2)) ### DisjTree 190 194 195 199
% 194.90/195.13 201. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=)
% 194.90/195.13 202. ((op (e2) (e3)) = (e1)) ((e1) != (op (e2) (e3))) ### Sym(=)
% 194.90/195.13 203. (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) ((op (e3) (e3)) = (e0)) ### NotAnd 201 202
% 194.90/195.13 204. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ### ConjTree 203
% 194.90/195.13 205. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) ### DisjTree 204 46 50 113
% 194.90/195.13 206. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 205
% 194.90/195.13 207. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=)
% 194.90/195.13 208. ((op (e2) (e0)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) = (e2)) ((unit) = (e0)) ### Trans 176 207
% 194.90/195.13 209. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) = (e2)) ### DisjTree 190 136 74 113
% 194.90/195.13 210. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.13 211. ((op (e2) (e3)) != (op (op (e3) (e2)) (e3))) ((op (e3) (e2)) = (e2)) ### NotEqual 210 21
% 194.90/195.13 212. ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (e3)) ### Axiom
% 194.90/195.13 213. ((op (e3) (op (e2) (e3))) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) ### NotEqual 21 212
% 194.90/195.13 214. ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e3)) ((op (e3) (e2)) = (e2)) ### Trans 211 213
% 194.90/195.13 215. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.13 216. ((op (e3) (e1)) != (op (op (e3) (e2)) (e1))) ((op (e3) (e2)) = (e3)) ### NotEqual 215 7
% 194.90/195.13 217. ((op (e2) (e1)) = (e2)) ((op (e2) (e1)) != (e2)) ### Axiom
% 194.90/195.13 218. ((op (e3) (op (e2) (e1))) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ### NotEqual 21 217
% 194.90/195.13 219. ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e2)) ((op (e3) (e2)) = (e3)) ### Trans 216 218
% 194.90/195.13 220. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 209 57 214 219
% 194.90/195.13 221. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 220 82 187 170
% 194.90/195.13 222. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) = (e2)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 221
% 194.90/195.13 223. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e1)) = (e2)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 200 206 208 222
% 194.90/195.13 224. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 182 189 223 115
% 194.90/195.13 225. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 116 120 131 224
% 194.90/195.13 226. ((op (e1) (e2)) = (e1)) ((e1) != (op (e1) (e2))) ### Sym(=)
% 194.90/195.13 227. ((op (e1) (e2)) != (op (op (e1) (e2)) (e2))) ((op (e1) (e2)) = (e1)) ### NotEqual 226 12
% 194.90/195.13 228. ((op (e2) (e2)) = (e3)) ((op (e2) (e2)) != (e3)) ### Axiom
% 194.90/195.13 229. ((op (e1) (op (e2) (e2))) != (op (e1) (e3))) ((op (e2) (e2)) = (e3)) ### NotEqual 7 228
% 194.90/195.13 230. ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e1) (e2)) = (e1)) ### Trans 227 229
% 194.90/195.13 231. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 172 174 178 230
% 194.90/195.13 232. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.13 233. ((op (e3) (e3)) != (op (op (e2) (e1)) (e3))) ((op (e2) (e1)) = (e3)) ### NotEqual 232 21
% 194.90/195.13 234. ((op (e1) (e3)) = (e3)) ((op (e1) (e3)) != (e3)) ### Axiom
% 194.90/195.13 235. ((op (e2) (op (e1) (e3))) != (op (e2) (e3))) ((op (e1) (e3)) = (e3)) ### NotEqual 12 234
% 194.90/195.13 236. ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e2) (e1)) = (e3)) ### Trans-sym 233 235
% 194.90/195.13 237. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 231 189 223 236
% 194.90/195.13 238. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 116 120 131 237
% 194.90/195.13 239. ((op (e3) (e1)) = (e0)) ((e0) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 240. ((op (e0) (e2)) != (op (op (e3) (e1)) (e2))) ((op (e3) (e1)) = (e0)) ### NotEqual 239 12
% 194.90/195.13 241. ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (e2)) ### Axiom
% 194.90/195.13 242. ((op (e3) (op (e1) (e2))) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ### NotEqual 21 241
% 194.90/195.13 243. ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) = (e2)) ((op (e3) (e1)) = (e0)) ### Trans 240 242
% 194.90/195.13 244. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.13 245. ((op (e1) (e2)) != (op (op (e3) (e1)) (e2))) ((op (e3) (e1)) = (e1)) ### NotEqual 244 12
% 194.90/195.13 246. ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) = (e2)) ((op (e3) (e1)) = (e1)) ### Trans 245 242
% 194.90/195.13 247. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e1) (e2)) = (e2)) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 243 246 187 170
% 194.90/195.13 248. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 247
% 194.90/195.13 249. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=)
% 194.90/195.13 250. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 194.90/195.13 251. (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (e1) (e3)) = (e2)) ((op (e3) (e3)) = (e0)) ### NotAnd 249 250
% 194.90/195.13 252. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ### ConjTree 251
% 194.90/195.13 253. ((op (e2) (e2)) = (e2)) ((e2) != (op (e2) (e2))) ### Sym(=)
% 194.90/195.13 254. ((op (e2) (e3)) != (op (op (e2) (e2)) (e3))) ((op (e2) (e2)) = (e2)) ### NotEqual 253 21
% 194.90/195.13 255. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 194.90/195.13 256. ((op (e2) (op (e2) (e3))) != (op (e2) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 12 255
% 194.90/195.13 257. ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e2) (e2)) = (e2)) ### Trans-sym 254 256
% 194.90/195.13 258. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e0)) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ### ConjTree 257
% 194.90/195.13 259. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 194.90/195.13 260. ((op (e2) (e3)) != (op (op (e1) (e3)) (e3))) ((op (e1) (e3)) = (e2)) ### NotEqual 259 21
% 194.90/195.13 261. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 194.90/195.13 262. ((op (e1) (op (e3) (e3))) != (op (e1) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 7 261
% 194.90/195.13 263. ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e3) (e3)) = (e3)) ((op (e1) (e3)) = (e2)) ### Trans-sym 260 262
% 194.90/195.13 264. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e1) (e3)) != (op (e2) (e3))) ### ConjTree 263
% 194.90/195.13 265. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e3)) = (e0)) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (e1) (e3)) = (e2)) ### DisjTree 252 194 258 264
% 194.90/195.13 266. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.13 267. ((op (e1) (e3)) != (op (op (e1) (e1)) (e3))) ((op (e1) (e1)) = (e1)) ### NotEqual 266 21
% 194.90/195.13 268. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 194.90/195.13 269. ((op (e1) (op (e1) (e3))) != (op (e1) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 7 268
% 194.90/195.13 270. ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e1) (e1)) = (e1)) ### Trans-sym 267 269
% 194.90/195.13 271. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e1) (e3)) = (e2)) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e2)) != (op (e1) (e3))) ### ConjTree 270
% 194.90/195.13 272. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom
% 194.90/195.13 273. ((op (e2) (op (e2) (e3))) != (op (e2) (e1))) ((op (e2) (e3)) = (e1)) ### NotEqual 12 272
% 194.90/195.13 274. ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e2) (e3)) = (e1)) ((op (e2) (e2)) = (e2)) ### Trans-sym 254 273
% 194.90/195.13 275. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e2) (e3)) = (e1)) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ### ConjTree 274
% 194.90/195.13 276. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) ### DisjTree 204 271 275 264
% 194.90/195.13 277. ((op (e1) (e2)) = (e3)) ((e3) != (op (e1) (e2))) ### Sym(=)
% 194.90/195.13 278. ((op (e3) (e3)) != (op (op (e1) (e2)) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 277 21
% 194.90/195.13 279. ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (e3)) ### Axiom
% 194.90/195.13 280. ((op (e1) (op (e2) (e3))) != (op (e1) (e3))) ((op (e2) (e3)) = (e3)) ### NotEqual 7 279
% 194.90/195.13 281. ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (e2) (e3)) = (e3)) ((op (e1) (e2)) = (e3)) ### Trans-sym 278 280
% 194.90/195.13 282. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e2)) = (e3)) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e0)) ((op (e2) (unit)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e3)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e1) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 265 276 208 281
% 194.90/195.13 283. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.13 284. ((op (e2) (e2)) != (op (op (e2) (e1)) (e2))) ((op (e2) (e1)) = (e2)) ### NotEqual 283 12
% 194.90/195.13 285. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 194.90/195.13 286. ((op (e2) (op (e1) (e2))) != (op (e2) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 12 285
% 194.90/195.13 287. ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e2) (e1)) = (e2)) ### Trans 284 286
% 194.90/195.13 288. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e1) (e2)) = (e3)) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 19 189 287 236
% 194.90/195.13 289. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (unit)) = (e2)) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (e1) (e2)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 116 120 282 288
% 194.90/195.13 290. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 225 238 248 289
% 194.90/195.13 291. ((op (e1) (e3)) = (e0)) ((op (e1) (e3)) != (e0)) ### Axiom
% 194.90/195.13 292. ((op (e1) (op (e1) (e3))) != (op (e1) (e0))) ((op (e1) (e3)) = (e0)) ### NotEqual 7 291
% 194.90/195.13 293. ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e3)) = (e0)) ((op (e1) (e1)) = (e1)) ### Trans-sym 267 292
% 194.90/195.13 294. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 293 120 270 224
% 194.90/195.13 295. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 293 120 270 237
% 194.90/195.14 296. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.14 297. ((op (e1) (e2)) != (op (op (e1) (e1)) (e2))) ((op (e1) (e1)) = (e1)) ### NotEqual 296 12
% 194.90/195.14 298. ((op (e1) (e2)) = (e3)) ((op (e1) (e2)) != (e3)) ### Axiom
% 194.90/195.14 299. ((op (e1) (op (e1) (e2))) != (op (e1) (e3))) ((op (e1) (e2)) = (e3)) ### NotEqual 7 298
% 194.90/195.14 300. ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) ((op (e1) (e2)) = (e3)) ((op (e1) (e1)) = (e1)) ### Trans 297 299
% 194.90/195.14 301. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e1)) = (e1)) ((op (e1) (unit)) = (e1)) ((unit) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (unit)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 294 295 248 300
% 194.90/195.14 302. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ### DisjTree 73 82 93 98
% 194.90/195.14 303. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e0)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 302
% 194.90/195.14 304. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ### DisjTree 73 82 93 123
% 194.90/195.14 305. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e1)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 304
% 194.90/195.14 306. ((op (e3) (e1)) = (e2)) ((e2) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.14 307. ((op (e2) (e3)) != (op (op (e3) (e1)) (e3))) ((op (e3) (e1)) = (e2)) ### NotEqual 306 21
% 194.90/195.14 308. ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) = (e2)) ### Trans 307 152
% 194.90/195.14 309. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ### DisjTree 73 153 308 162
% 194.90/195.14 310. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e1)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 303 120 305 309
% 194.90/195.14 311. ((op (e2) (e1)) = (e3)) ((e3) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.14 312. ((op (e3) (e0)) != (op (op (e2) (e1)) (e0))) ((op (e2) (e1)) = (e3)) ### NotEqual 311 2
% 194.90/195.14 313. ((op (e1) (e0)) = (e0)) ((op (e1) (e0)) != (e0)) ### Axiom
% 194.90/195.14 314. ((op (e2) (op (e1) (e0))) != (op (e2) (e0))) ((op (e1) (e0)) = (e0)) ### NotEqual 12 313
% 194.90/195.14 315. ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e2) (e1)) = (e3)) ### Trans-sym 312 314
% 194.90/195.14 316. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ### DisjTree 139 100 198 315
% 194.90/195.14 317. ((op (e1) (e3)) = (e2)) ((op (e1) (e3)) != (e2)) ### Axiom
% 194.90/195.14 318. ((op (e2) (op (e1) (e3))) != (op (e2) (e2))) ((op (e1) (e3)) = (e2)) ### NotEqual 12 317
% 194.90/195.14 319. ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e1) (e3)) = (e2)) ((op (e2) (e1)) = (e2)) ### Trans-sym 102 318
% 194.90/195.14 320. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e2)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ### DisjTree 139 125 319 115
% 194.90/195.14 321. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e3)) = (e3)) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ### DisjTree 139 189 198 236
% 194.90/195.14 322. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (e1) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 316 120 320 321
% 194.90/195.14 323. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (unit)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### DisjTree 290 301 310 322
% 194.90/195.14 324. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=)
% 194.90/195.14 325. ((op (e1) (e0)) != (op (op (e1) (e0)) (e0))) ((op (e1) (e0)) = (e1)) ### NotEqual 324 2
% 194.90/195.14 326. ((op (e0) (e0)) = (e3)) ((op (e0) (e0)) != (e3)) ### Axiom
% 194.90/195.14 327. ((op (e1) (op (e0) (e0))) != (op (e1) (e3))) ((op (e0) (e0)) = (e3)) ### NotEqual 7 326
% 194.90/195.14 328. ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e1)) ### Trans 325 327
% 194.90/195.14 329. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ### ConjTree 328
% 194.90/195.14 330. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) ### DisjTree 132 136 74 329
% 194.90/195.14 331. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 330 39 143 65
% 194.90/195.14 332. ((op (e3) (e1)) = (e3)) ((e3) != (op (e3) (e1))) ### Sym(=)
% 194.90/195.14 333. ((op (e3) (e0)) != (op (op (e3) (e1)) (e0))) ((op (e3) (e1)) = (e3)) ### NotEqual 332 2
% 194.90/195.14 334. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 194.90/195.14 335. ((op (e3) (op (e1) (e0))) != (op (e3) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 21 334
% 194.90/195.14 336. ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e3) (e1)) = (e3)) ### Trans 333 335
% 194.90/195.14 337. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e2)) = (e0)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 331 153 93 336
% 194.90/195.14 338. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 337
% 194.90/195.14 339. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 338 174 178 181
% 194.90/195.14 340. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) = (e1)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 80 153 93 336
% 194.90/195.14 341. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 340
% 194.90/195.14 342. ((op (e2) (e1)) = (e2)) ((e2) != (op (e2) (e1))) ### Sym(=)
% 194.90/195.14 343. ((op (e2) (e0)) != (op (op (e2) (e1)) (e0))) ((op (e2) (e1)) = (e2)) ### NotEqual 342 2
% 194.90/195.14 344. ((op (e1) (e0)) = (e1)) ((op (e1) (e0)) != (e1)) ### Axiom
% 194.90/195.14 345. ((op (e2) (op (e1) (e0))) != (op (e2) (e1))) ((op (e1) (e0)) = (e1)) ### NotEqual 12 344
% 194.90/195.14 346. ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e2) (e1)) = (e2)) ### Trans 343 345
% 194.90/195.14 347. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e1) (e2)) = (e0)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 339 341 346 115
% 194.90/195.14 348. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 116 120 131 347
% 194.90/195.14 349. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e2) (e1)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((unit) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 338 174 178 230
% 194.90/195.14 350. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e0)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) = (e1)) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 349 341 346 115
% 194.90/195.14 351. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 116 120 131 350
% 194.90/195.14 352. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e1) (e2)) = (e2)) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e0) (e2)) != (op (e3) (e2))) ### DisjTree 243 82 93 336
% 194.90/195.14 353. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) = (e2)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 352
% 194.90/195.14 354. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e1) (e2)) = (e3)) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ### DisjTree 19 341 287 108
% 194.90/195.14 355. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (unit)) = (e2)) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (e1) (e2)) = (e3)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e1)) = (e0)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 116 120 282 354
% 194.90/195.14 356. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e0)) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 348 351 353 355
% 194.90/195.14 357. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e0)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 293 120 270 347
% 194.90/195.14 358. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (e1) (e2)) = (e1)) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e2)) != (op (e1) (e3))) ((unit) = (e0)) ((op (e1) (unit)) = (e1)) ((op (e1) (e1)) = (e1)) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 293 120 270 350
% 194.90/195.14 359. (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) ((op (unit) (e1)) = (e1)) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (e1) (e1)) = (e1)) ((op (e1) (unit)) = (e1)) ((unit) = (e0)) ((op (e1) (e2)) != (op (e1) (e3))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e1)) != (op (e2) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e0)) = (e1)) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 357 358 353 300
% 194.90/195.14 360. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e1) (e0)) = (e1)) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e3)) = (e0)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ### DisjTree 139 100 346 115
% 194.90/195.14 361. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) = (e3)) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ### DisjTree 139 341 198 115
% 194.90/195.14 362. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (e1) (e1)) = (e3)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 360 120 320 361
% 194.90/195.14 363. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((unit) = (e0)) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ### DisjTree 356 359 310 362
% 194.90/195.14 364. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 194.90/195.14 365. ((op (e2) (e3)) != (op (op (e1) (e0)) (e3))) ((op (e1) (e0)) = (e2)) ### NotEqual 364 21
% 194.90/195.14 366. ((op (e0) (e3)) = (e3)) ((op (e0) (e3)) != (e3)) ### Axiom
% 194.90/195.14 367. ((op (e1) (op (e0) (e3))) != (op (e1) (e3))) ((op (e0) (e3)) = (e3)) ### NotEqual 7 366
% 194.90/195.14 368. ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) = (e2)) ### Trans-sym 365 367
% 194.90/195.14 369. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 194.90/195.14 370. ((op (e3) (e3)) != (op (op (e1) (e0)) (e3))) ((op (e1) (e0)) = (e3)) ### NotEqual 369 21
% 194.90/195.14 371. ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e0)) = (e3)) ### Trans-sym 370 367
% 194.90/195.14 372. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((unit) = (e0)) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ### DisjTree 323 363 368 371
% 194.90/195.15 373. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e0) (e2)) != (op (e3) (e2))) ((op (e3) (unit)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e2) (e1))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (unit) (e1)) = (e1)) ((op (e0) (e1)) != (op (e0) (e3))) ((unit) = (e0)) ((op (unit) (e0)) = (e0)) ((op (e0) (e0)) != (op (e0) (e3))) ### DisjTree 5 10 15 372
% 194.90/195.15 374. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=)
% 194.90/195.15 375. ((op (e1) (e0)) != (op (unit) (e0))) ((unit) = (e1)) ### NotEqual 374 2
% 194.90/195.15 376. ((op (e1) (e3)) = (e0)) ((e0) != (op (e1) (e3))) ### Sym(=)
% 194.90/195.15 377. ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((op (e1) (e3)) = (e0)) ((unit) = (e1)) ### Trans 375 376
% 194.90/195.15 378. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=)
% 194.90/195.15 379. ((op (e1) (e1)) != (op (unit) (e1))) ((unit) = (e1)) ### NotEqual 378 7
% 194.90/195.15 380. ((op (e1) (e3)) = (e1)) ((e1) != (op (e1) (e3))) ### Sym(=)
% 194.90/195.15 381. ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e3)) = (e1)) ((unit) = (e1)) ### Trans 379 380
% 194.90/195.15 382. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=)
% 194.90/195.15 383. ((op (e1) (e2)) != (op (unit) (e2))) ((unit) = (e1)) ### NotEqual 382 12
% 194.90/195.15 384. ((op (e1) (e3)) = (e2)) ((e2) != (op (e1) (e3))) ### Sym(=)
% 194.90/195.15 385. ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e3)) = (e2)) ((unit) = (e1)) ### Trans 383 384
% 194.90/195.15 386. ((op (e3) (e0)) = (e0)) ((e0) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.15 387. ((op (e1) (e0)) != (op (e3) (e0))) ((op (unit) (e0)) = (e0)) ((op (e3) (e0)) = (e0)) ((unit) = (e1)) ### Trans 375 386
% 194.90/195.15 388. ((op (e1) (e1)) = (e0)) ((e0) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.15 389. ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((op (e1) (e1)) = (e0)) ((unit) = (e1)) ### Trans 375 388
% 194.90/195.15 390. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### ConjTree 389
% 194.90/195.15 391. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=)
% 194.90/195.15 392. ((op (e1) (e3)) != (op (unit) (e3))) ((unit) = (e1)) ### NotEqual 391 21
% 194.90/195.15 393. ((op (e1) (e1)) = (e3)) ((e3) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.15 394. ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) = (e3)) ((unit) = (e1)) ### Trans-sym 392 393
% 194.90/195.15 395. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((unit) = (e1)) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ### ConjTree 394
% 194.90/195.15 396. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ### DisjTree 390 136 74 395
% 194.90/195.15 397. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.15 398. ((op (e1) (e0)) != (op (op (e3) (e2)) (e0))) ((op (e3) (e2)) = (e1)) ### NotEqual 397 2
% 194.90/195.15 399. ((op (e2) (e0)) = (e0)) ((op (e2) (e0)) != (e0)) ### Axiom
% 194.90/195.15 400. ((op (e3) (op (e2) (e0))) != (op (e3) (e0))) ((op (e2) (e0)) = (e0)) ### NotEqual 21 399
% 194.90/195.15 401. ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e0)) ((op (e3) (e2)) = (e1)) ### Trans 398 400
% 194.90/195.15 402. ((op (e3) (e2)) = (e2)) ((e2) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.15 403. ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) = (e2)) ((unit) = (e1)) ### Trans 383 402
% 194.90/195.15 404. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e0)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 401 403 65
% 194.90/195.15 405. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e1)) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e2)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 168 39 403 65
% 194.90/195.15 406. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e2)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 404 153 187 405
% 194.90/195.15 407. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.15 408. ((op (e3) (e3)) != (op (op (e3) (e2)) (e3))) ((op (e3) (e2)) = (e3)) ### NotEqual 407 21
% 194.90/195.15 409. ((op (e2) (e3)) = (e0)) ((op (e2) (e3)) != (e0)) ### Axiom
% 194.90/195.15 410. ((op (e3) (op (e2) (e3))) != (op (e3) (e0))) ((op (e2) (e3)) = (e0)) ### NotEqual 21 409
% 194.90/195.15 411. ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e0)) ((op (e3) (e2)) = (e3)) ### Trans-sym 408 410
% 194.90/195.15 412. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 401 403 411
% 194.90/195.15 413. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e2) (e3)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ### DisjTree 390 194 163 167
% 194.90/195.15 414. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 412 153 187 413
% 194.90/195.15 415. ((op (e2) (e3)) = (e1)) ((op (e2) (e3)) != (e1)) ### Axiom
% 194.90/195.15 416. ((op (e3) (op (e2) (e3))) != (op (e3) (e1))) ((op (e2) (e3)) = (e1)) ### NotEqual 21 415
% 194.90/195.15 417. ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e1)) ((op (e3) (e2)) = (e3)) ### Trans-sym 408 416
% 194.90/195.15 418. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e1)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e2) (e2)) = (e1)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ### DisjTree 135 401 403 417
% 194.90/195.15 419. ((unit) = (e1)) ((e1) != (unit)) ### Sym(=)
% 194.90/195.15 420. ((op (e2) (e1)) != (op (e2) (unit))) ((unit) = (e1)) ### NotEqual 12 419
% 194.90/195.15 421. ((op (e2) (e3)) = (e2)) ((e2) != (op (e2) (e3))) ### Sym(=)
% 194.90/195.15 422. ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) = (e2)) ((unit) = (e1)) ### Trans 420 421
% 194.90/195.15 423. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 401 403 79
% 194.90/195.15 424. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 168 401 214 169
% 194.90/195.15 425. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 423 153 308 424
% 194.90/195.15 426. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e2)) = (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 414 418 422 425
% 194.90/195.15 427. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e2) (unit)) = (e2)) ((op (e2) (e2)) = (e2)) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 414 274 422 425
% 194.90/195.15 428. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e1)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 401 403 417
% 194.90/195.15 429. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 168 401 403 77
% 194.90/195.15 430. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e2)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e0)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 428 153 308 429
% 194.90/195.15 431. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e2)) = (e3)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 401 214 77
% 194.90/195.15 432. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e0)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (e2)) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 431 153 308 429
% 194.90/195.15 433. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (e2)) = (e3)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 414 430 422 432
% 194.90/195.15 434. (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e2) (e0)) = (e0)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 406 426 427 433
% 194.90/195.15 435. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 194.90/195.15 436. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 194.90/195.15 437. ((op (e2) (e0)) = (e1)) ((e1) != (op (e2) (e0))) ### Sym(=)
% 194.90/195.15 438. ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) = (e1)) ### TransEq 435 436 437
% 194.90/195.15 439. ((op (e2) (e0)) = (e2)) ((e2) != (op (e2) (e0))) ### Sym(=)
% 194.90/195.15 440. ((op (e2) (e3)) != (op (op (e2) (e0)) (e3))) ((op (e2) (e0)) = (e2)) ### NotEqual 439 21
% 194.90/195.15 441. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom
% 194.90/195.15 442. ((op (e2) (op (e0) (e3))) != (op (e2) (e0))) ((op (e0) (e3)) = (e0)) ### NotEqual 12 441
% 194.90/195.15 443. ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) ((op (e2) (e0)) = (e2)) ### Trans-sym 440 442
% 194.90/195.15 444. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=)
% 194.90/195.15 445. ((op (e2) (e0)) = (e3)) ((e3) != (op (e2) (e0))) ### Sym(=)
% 194.90/195.15 446. (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e2) (e0)) = (e3)) ((op (e0) (e0)) = (e1)) ### NotAnd 444 445
% 194.90/195.15 447. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ### ConjTree 446
% 194.90/195.15 448. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((unit) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e2) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e2)) = (e1)) ### DisjTree 40 447 74 395
% 194.90/195.15 449. ((op (e3) (e2)) = (e3)) ((e3) != (op (e3) (e2))) ### Sym(=)
% 194.90/195.15 450. ((op (e3) (e0)) != (op (op (e3) (e2)) (e0))) ((op (e3) (e2)) = (e3)) ### NotEqual 449 2
% 194.90/195.15 451. ((op (e2) (e0)) = (e3)) ((op (e2) (e0)) != (e3)) ### Axiom
% 194.90/195.15 452. ((op (e3) (op (e2) (e0))) != (op (e3) (e3))) ((op (e2) (e0)) = (e3)) ### NotEqual 21 451
% 194.90/195.15 453. ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e2) (e0)) = (e3)) ((op (e3) (e2)) = (e3)) ### Trans 450 452
% 194.90/195.15 454. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e0)) = (e3)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 448 403 453
% 194.90/195.15 455. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e2) (e0)) = (e3)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 447 163 167
% 194.90/195.15 456. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e2) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 454 153 308 455
% 194.90/195.15 457. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 434 438 443 456
% 194.90/195.15 458. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 457
% 194.90/195.15 459. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 458
% 194.90/195.15 460. ((op (e3) (e3)) = (e3)) ((e3) != (op (e3) (e3))) ### Sym(=)
% 194.90/195.15 461. ((op (e3) (e0)) != (op (op (e3) (e3)) (e0))) ((op (e3) (e3)) = (e3)) ### NotEqual 460 2
% 194.90/195.15 462. ((op (e3) (e0)) = (e1)) ((op (e3) (e0)) != (e1)) ### Axiom
% 194.90/195.15 463. ((op (e3) (op (e3) (e0))) != (op (e3) (e1))) ((op (e3) (e0)) = (e1)) ### NotEqual 21 462
% 194.90/195.15 464. ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) = (e1)) ((op (e3) (e3)) = (e3)) ### Trans 461 463
% 194.90/195.15 465. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ### ConjTree 464
% 194.90/195.15 466. ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) = (e1)) ((op (e3) (e1)) = (e0)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e2)) = (e1)) ### DisjTree 40 459 74 465
% 194.90/195.15 467. (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 466 403 79
% 194.90/195.15 468. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 194.90/195.15 469. ((op (e3) (e0)) = (e1)) ((e1) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.15 470. (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e3) (e0)) = (e1)) ((op (e0) (e0)) = (e2)) ### NotAnd 468 469
% 194.90/195.15 471. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ### ConjTree 470
% 194.90/195.15 472. ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e3) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 459 471 465
% 194.90/195.15 473. (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ### DisjTree 467 153 308 472
% 194.90/195.15 474. ((op (e0) (e0)) = (e1)) ((e1) != (op (e0) (e0))) ### Sym(=)
% 194.90/195.15 475. ((op (e3) (e0)) = (e2)) ((e2) != (op (e3) (e0))) ### Sym(=)
% 194.90/195.15 476. (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (e3) (e0)) = (e2)) ((op (e0) (e0)) = (e1)) ### NotAnd 474 475
% 194.90/195.15 477. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ### ConjTree 476
% 194.90/195.15 478. ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (e2)) ### Axiom
% 194.90/195.15 479. ((op (e3) (op (e3) (e0))) != (op (e3) (e2))) ((op (e3) (e0)) = (e2)) ### NotEqual 21 478
% 194.90/195.15 480. ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) = (e2)) ((op (e3) (e3)) = (e3)) ### Trans 461 479
% 194.90/195.15 481. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e3) (e0)) = (e2)) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ### ConjTree 480
% 194.90/195.15 482. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (e3) (e0)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ### DisjTree 390 477 74 481
% 194.90/195.15 483. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 477 163 167
% 194.90/195.15 484. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 482 153 187 483
% 194.90/195.15 485. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((unit) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e2)) = (e1)) ### DisjTree 40 46 50 395
% 194.90/195.15 486. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 485 403 411
% 194.90/195.15 487. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e0)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 486 153 308 413
% 194.90/195.15 488. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 473 484 487
% 194.90/195.15 489. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) ### DisjTree 204 46 74 113
% 194.90/195.15 490. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e1)) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 168 485 403 169
% 194.90/195.15 491. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) ((unit) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 489 153 187 490
% 194.90/195.15 492. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 473 484 491
% 194.90/195.15 493. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) != (op (e3) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 396 485 214 79
% 194.90/195.15 494. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e3)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ### DisjTree 493 153 308 490
% 194.90/195.15 495. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 473 484 494
% 194.90/195.15 496. (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 488 492 422 495
% 194.90/195.15 497. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e0)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 496
% 194.90/195.15 498. ((op (e1) (e0)) = (e1)) ((e1) != (op (e1) (e0))) ### Sym(=)
% 194.90/195.15 499. ((op (e1) (e3)) != (op (op (e1) (e0)) (e3))) ((op (e1) (e0)) = (e1)) ### NotEqual 498 21
% 194.90/195.15 500. ((op (e0) (e3)) = (e0)) ((op (e0) (e3)) != (e0)) ### Axiom
% 194.90/195.15 501. ((op (e1) (op (e0) (e3))) != (op (e1) (e0))) ((op (e0) (e3)) = (e0)) ### NotEqual 7 500
% 194.90/195.15 502. ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) ((op (e1) (e0)) = (e1)) ### Trans-sym 499 501
% 194.90/195.15 503. ((op (e1) (e1)) = (e1)) ((e1) != (op (e1) (e1))) ### Sym(=)
% 194.90/195.15 504. ((op (e1) (e0)) != (op (op (e1) (e1)) (e0))) ((op (e1) (e1)) = (e1)) ### NotEqual 503 2
% 194.90/195.15 505. ((op (e1) (e0)) = (e2)) ((op (e1) (e0)) != (e2)) ### Axiom
% 194.90/195.15 506. ((op (e1) (op (e1) (e0))) != (op (e1) (e2))) ((op (e1) (e0)) = (e2)) ### NotEqual 7 505
% 194.90/195.15 507. ((op (e1) (e0)) != (op (e1) (e2))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) ((op (e1) (e0)) = (e2)) ((op (e1) (e1)) = (e1)) ### Trans 504 506
% 194.90/195.15 508. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e1)) = (e2)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 309
% 194.90/195.15 509. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e2)) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) ((op (e1) (e0)) != (op (e1) (e2))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 389 507 508 394
% 194.90/195.15 510. ((op (e1) (e0)) = (e3)) ((op (e1) (e0)) != (e3)) ### Axiom
% 194.96/195.16 511. ((op (e1) (op (e1) (e0))) != (op (e1) (e3))) ((op (e1) (e0)) = (e3)) ### NotEqual 7 510
% 194.96/195.16 512. ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) ((op (e1) (e0)) = (e3)) ((op (e1) (e1)) = (e1)) ### Trans 504 511
% 194.96/195.16 513. (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ### DisjTree 389 512 508 394
% 194.96/195.16 514. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 497 502 509 513
% 194.96/195.16 515. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e2)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ### DisjTree 390 136 74 465
% 194.96/195.16 516. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 194.96/195.16 517. ((op (e2) (op (e0) (e3))) != (op (e2) (e1))) ((op (e0) (e3)) = (e1)) ### NotEqual 12 516
% 194.96/195.16 518. ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) ((op (e2) (e0)) = (e2)) ### Trans-sym 440 517
% 194.96/195.16 519. (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) = (e1)) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ### DisjTree 434 438 518 456
% 194.96/195.16 520. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (e0) (e0)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 519
% 194.96/195.16 521. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### ConjTree 520
% 194.96/195.16 522. (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e3) (e0)) = (e1)) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e3) (e2)) = (e1)) ### DisjTree 40 521 471 395
% 194.96/195.16 523. (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (unit) (e3)) = (e3)) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) = (e0)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e0)) = (e1)) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 515 522 403 79
% 194.96/195.16 524. (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e3) (e1)) = (e3)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 168 522 403 169
% 194.96/195.16 525. ((op (e1) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) = (e1)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (unit) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ### DisjTree 523 153 308 524
% 194.96/195.16 526. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (unit) (e3)) = (e3)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e3)) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 525 484 487
% 194.96/195.16 527. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=)
% 194.96/195.16 528. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=)
% 194.96/195.16 529. (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (e0) (e3)) = (e1)) ((op (e3) (e3)) = (e2)) ### NotAnd 527 528
% 194.96/195.16 530. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((op (e0) (e3)) = (e1)) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ### ConjTree 529
% 194.96/195.16 531. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (e3) (e0)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 477 530 481
% 194.96/195.16 532. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e0) (e3)) = (e1)) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) = (e2)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 482 153 308 531
% 194.96/195.16 533. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (unit) (e3)) = (e3)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e3)) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 525 532 491
% 194.96/195.16 534. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (unit) (e3)) = (e3)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e3)) = (e3)) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 525 532 494
% 194.96/195.16 535. (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (unit) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 526 533 422 534
% 194.96/195.16 536. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (e0) (e3)) = (e1)) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (unit) (e3)) = (e3)) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 535
% 194.97/195.16 537. ((op (e0) (e3)) = (e1)) ((op (e0) (e3)) != (e1)) ### Axiom
% 194.97/195.16 538. ((op (e1) (op (e0) (e3))) != (op (e1) (e1))) ((op (e0) (e3)) = (e1)) ### NotEqual 7 537
% 194.97/195.16 539. ((op (e1) (e1)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) ((op (e1) (e0)) = (e1)) ### Trans-sym 499 538
% 194.97/195.16 540. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (unit) (e3)) = (e3)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e0) (e3)) = (e1)) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 536 539 509 513
% 194.97/195.16 541. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 194.97/195.16 542. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 194.97/195.16 543. (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (e0) (e3)) = (e2)) ((op (e3) (e3)) = (e1)) ### NotAnd 541 542
% 194.97/195.16 544. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((op (e0) (e3)) = (e2)) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ### ConjTree 543
% 194.97/195.16 545. ((op (e0) (e3)) = (e2)) ((e2) != (op (e0) (e3))) ### Sym(=)
% 194.97/195.16 546. ((op (e2) (e3)) != (op (op (e0) (e3)) (e3))) ((op (e0) (e3)) = (e2)) ### NotEqual 545 21
% 194.97/195.16 547. ((op (e3) (e3)) = (e3)) ((op (e3) (e3)) != (e3)) ### Axiom
% 194.97/195.16 548. ((op (e0) (op (e3) (e3))) != (op (e0) (e3))) ((op (e3) (e3)) = (e3)) ### NotEqual 2 547
% 194.97/195.16 549. ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e2)) ### Trans-sym 546 548
% 194.97/195.16 550. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e2)) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e2) (e3))) ### ConjTree 549
% 194.97/195.16 551. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ### DisjTree 390 544 74 550
% 194.97/195.16 552. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (e0) (e3)) = (e2)) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ### DisjTree 159 544 163 167
% 194.97/195.16 553. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e0) (e3)) = (e2)) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 551 153 308 552
% 194.97/195.16 554. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 553
% 194.97/195.16 555. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e2) (e3)) = (e0)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 28 31 487
% 194.97/195.16 556. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 28 484 491
% 194.97/195.16 557. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) = (e3)) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e1)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e3) (e0))) ### DisjTree 387 28 31 494
% 194.97/195.16 558. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 555 556 422 557
% 194.97/195.16 559. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e0)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 558
% 194.97/195.16 560. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e1) (e0)) = (e1)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) = (e1)) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e3) (e0)) = (e3)) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 489 153 308 336
% 194.97/195.16 561. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e2) (e3)) = (e1)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 28 31 560
% 194.97/195.16 562. (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) = (e1)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e1) (e3)) = (e3)) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (unit) (e2)) = (e2)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ### DisjTree 555 561 422 557
% 194.97/195.16 563. (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e2) (unit)) = (e2)) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) != (op (e3) (e3))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ### DisjTree 377 381 385 562
% 194.97/195.16 564. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e2)) = (e2)) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (e1) (e0)) != (op (e3) (e0))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) = (e3)) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e1) (e0)) != (op (e1) (e1))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ### DisjTree 559 563 509 371
% 194.97/195.16 565. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e2) (e3))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e0)) != (op (e2) (e0))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e2) (unit)) = (e2)) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (e1) (e0)) != (op (e1) (e1))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (unit) (e2)) = (e2)) ((op (e1) (e2)) != (op (e1) (e3))) ((op (unit) (e1)) = (e1)) ((op (e1) (e1)) != (op (e1) (e3))) ((unit) = (e1)) ((op (unit) (e0)) = (e0)) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) ((op (e1) (e0)) != (op (e1) (e2))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 514 540 554 564
% 194.97/195.16 566. ((unit) = (e2)) ((e2) != (unit)) ### Sym(=)
% 194.97/195.16 567. ((op (e2) (e0)) != (op (unit) (e0))) ((unit) = (e2)) ### NotEqual 566 2
% 194.97/195.16 568. ((op (e2) (e2)) = (e0)) ((e0) != (op (e2) (e2))) ### Sym(=)
% 194.97/195.16 569. ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((op (e2) (e2)) = (e0)) ((unit) = (e2)) ### Trans 567 568
% 194.97/195.16 570. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ### ConjTree 569
% 194.97/195.16 571. ((unit) = (e2)) ((e2) != (unit)) ### Sym(=)
% 194.97/195.16 572. ((op (e2) (e1)) != (op (unit) (e1))) ((unit) = (e2)) ### NotEqual 571 7
% 194.97/195.16 573. ((op (e2) (e2)) = (e1)) ((e1) != (op (e2) (e2))) ### Sym(=)
% 194.97/195.16 574. ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e2)) = (e1)) ((unit) = (e2)) ### Trans 572 573
% 194.97/195.16 575. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((unit) = (e2)) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ### ConjTree 574
% 194.97/195.16 576. ((unit) = (e2)) ((e2) != (unit)) ### Sym(=)
% 194.97/195.16 577. ((op (e2) (e3)) != (op (unit) (e3))) ((unit) = (e2)) ### NotEqual 576 21
% 194.97/195.16 578. ((op (e2) (e2)) = (e3)) ((e3) != (op (e2) (e2))) ### Sym(=)
% 194.97/195.16 579. ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) = (e3)) ((unit) = (e2)) ### Trans-sym 577 578
% 194.97/195.16 580. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((unit) = (e2)) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ### ConjTree 579
% 194.97/195.16 581. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 74 580
% 194.97/195.16 582. ((op (e3) (e1)) = (e1)) ((e1) != (op (e3) (e1))) ### Sym(=)
% 194.97/195.16 583. ((op (e2) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) = (e1)) ((unit) = (e2)) ### Trans 572 582
% 194.97/195.16 584. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 163 580
% 194.97/195.16 585. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 581 583 187 584
% 194.97/195.16 586. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 194.97/195.16 587. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 194.97/195.16 588. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 194.97/195.16 589. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e2)) ((op (e1) (e0)) = (e2)) ### TransEq 586 587 588
% 194.97/195.16 590. ((op (e0) (e0)) = (e2)) ((e2) != (op (e0) (e0))) ### Sym(=)
% 194.97/195.16 591. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 194.97/195.16 592. (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) = (e2)) ### NotAnd 590 591
% 194.97/195.16 593. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) = (e0)) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 585 502 589 592
% 194.97/195.16 594. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e0)) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 593
% 194.97/195.16 595. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e3)) = (e0)) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 594 580
% 194.97/195.16 596. ((op (e0) (e3)) = (e1)) ((e1) != (op (e0) (e3))) ### Sym(=)
% 194.97/195.16 597. ((op (e1) (e3)) != (op (op (e0) (e3)) (e3))) ((op (e0) (e3)) = (e1)) ### NotEqual 596 21
% 194.97/195.16 598. ((op (e0) (e3)) != (op (e1) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e3) (e3)) = (e3)) ((op (e0) (e3)) = (e1)) ### Trans-sym 597 548
% 194.97/195.16 599. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e0) (e3)) = (e1)) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e1) (e3))) ### ConjTree 598
% 194.97/195.16 600. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (e0) (e3)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((unit) = (e2)) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e3) (e1)) = (e2)) ### DisjTree 86 575 530 599
% 194.97/195.16 601. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (e0) (e3)) = (e1)) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e2) (e1)) != (op (e3) (e1))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 581 583 600 584
% 194.97/195.16 602. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e3) (e1)) = (e0)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 74 550
% 194.97/195.17 603. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) = (e2)) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 163 550
% 194.97/195.17 604. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e1) (e0)) = (e0)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e0) (e3)) = (e2)) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 602 583 187 603
% 194.97/195.17 605. ((op (e0) (e3)) = (e2)) ((op (e0) (e3)) != (e2)) ### Axiom
% 194.97/195.17 606. ((op (e1) (op (e0) (e3))) != (op (e1) (e2))) ((op (e0) (e3)) = (e2)) ### NotEqual 7 605
% 194.97/195.17 607. ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e3)) = (e2)) ((op (e1) (e0)) = (e1)) ### Trans-sym 499 606
% 194.97/195.17 608. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (e0) (e0)) = (e2)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ### DisjTree 604 607 589 592
% 194.97/195.17 609. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e0) (e3)) = (e2)) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### ConjTree 608
% 194.97/195.17 610. ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e3) (e1)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e1) (e2)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) = (e2)) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 609 92
% 194.97/195.17 611. (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (e0) (e3)) = (e2)) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) ((op (e0) (e3)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 602 583 610 603
% 194.97/195.17 612. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e3) (e0)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 471 580
% 194.97/195.17 613. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (unit) (e3)) = (e3)) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) = (e3)) ((op (e2) (e1)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e0)) = (e0)) ((unit) = (e2)) ### DisjTree 570 575 50 580
% 194.97/195.17 614. (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e3)) != (op (e3) (e3))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e3)) = (e3)) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e0) (e3)) != (op (e3) (e3))) ### DisjTree 25 612 31 613
% 194.97/195.17 615. (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (e2) (e3)) != (op (e3) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((unit) = (e2)) ((op (unit) (e0)) = (e0)) ((op (e2) (e0)) != (op (e2) (e2))) ((op (unit) (e1)) = (e1)) ((op (e2) (e1)) != (op (e2) (e2))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e2) (e1)) != (op (e3) (e1))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (unit) (e3)) = (e3)) ((op (e2) (e2)) != (op (e2) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ### DisjTree 595 601 611 614
% 194.97/195.17 616. ((unit) = (e3)) ((e3) != (unit)) ### Sym(=)
% 194.97/195.17 617. ((op (e3) (e0)) != (op (unit) (e0))) ((unit) = (e3)) ### NotEqual 616 2
% 194.97/195.17 618. ((op (e3) (e3)) = (e0)) ((e0) != (op (e3) (e3))) ### Sym(=)
% 194.97/195.17 619. ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e0)) = (e0)) ((op (e3) (e3)) = (e0)) ((unit) = (e3)) ### Trans 617 618
% 194.97/195.17 620. (((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) ((unit) = (e3)) ((op (unit) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ### ConjTree 619
% 194.97/195.17 621. ((unit) = (e3)) ((e3) != (unit)) ### Sym(=)
% 194.97/195.17 622. ((op (e3) (e1)) != (op (unit) (e1))) ((unit) = (e3)) ### NotEqual 621 7
% 194.97/195.17 623. ((op (e3) (e3)) = (e1)) ((e1) != (op (e3) (e3))) ### Sym(=)
% 194.97/195.17 624. ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e3)) = (e1)) ((unit) = (e3)) ### Trans 622 623
% 194.97/195.17 625. (((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) ((unit) = (e3)) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ### ConjTree 624
% 194.97/195.17 626. ((unit) = (e3)) ((e3) != (unit)) ### Sym(=)
% 194.97/195.17 627. ((op (e3) (e2)) != (op (unit) (e2))) ((unit) = (e3)) ### NotEqual 626 12
% 194.97/195.17 628. ((op (e3) (e3)) = (e2)) ((e2) != (op (e3) (e3))) ### Sym(=)
% 194.97/195.17 629. ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e3)) = (e2)) ((unit) = (e3)) ### Trans 627 628
% 194.97/195.17 630. (((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) ((unit) = (e3)) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ### ConjTree 629
% 194.97/195.17 631. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (e2) (e1)) = (e0)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e3)) ### DisjTree 620 625 630 140
% 194.97/195.17 632. ((op (e3) (e2)) = (e0)) ((e0) != (op (e3) (e2))) ### Sym(=)
% 194.97/195.17 633. ((op (e3) (e0)) != (op (e3) (e2))) ((op (unit) (e0)) = (e0)) ((op (e3) (e2)) = (e0)) ((unit) = (e3)) ### Trans 617 632
% 194.97/195.17 634. ((op (e3) (e2)) = (e1)) ((e1) != (op (e3) (e2))) ### Sym(=)
% 194.97/195.17 635. ((op (e3) (e1)) != (op (e3) (e2))) ((op (unit) (e1)) = (e1)) ((op (e3) (e2)) = (e1)) ((unit) = (e3)) ### Trans 622 634
% 194.97/195.17 636. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (e3) (e2)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e3)) ### DisjTree 620 625 630 78
% 194.97/195.17 637. (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (e3) (e0)) != (op (e3) (e3))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) = (e1)) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e2))) ((unit) = (e3)) ((op (unit) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e2))) ### DisjTree 633 635 60 636
% 194.97/195.17 638. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e3)) ### DisjTree 620 625 630 199
% 194.97/195.17 639. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (e1) (e0)) = (e0)) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((unit) = (e3)) ((op (unit) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 631 637 638 315
% 194.97/195.17 640. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) = (e1)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e3)) ### DisjTree 620 625 630 329
% 194.97/195.17 641. ((op (e0) (e0)) = (e3)) ((e3) != (op (e0) (e0))) ### Sym(=)
% 194.97/195.17 642. ((op (e1) (e0)) = (e2)) ((e2) != (op (e1) (e0))) ### Sym(=)
% 194.97/195.17 643. (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) ((op (e1) (e0)) = (e2)) ((op (e0) (e0)) = (e3)) ### NotAnd 641 642
% 194.97/195.17 644. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) ### ConjTree 643
% 194.97/195.17 645. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) ((op (e1) (e0)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((unit) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e2) (e1)) = (e3)) ### DisjTree 109 625 630 644
% 194.97/195.17 646. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e1) (e0)) = (e2)) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((unit) = (e3)) ((op (unit) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 631 637 638 645
% 194.97/195.17 647. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 194.97/195.17 648. ((op (e0) (e0)) != (op (e0) (e0))) ### Refl(=)
% 194.97/195.17 649. ((op (e1) (e0)) = (e3)) ((e3) != (op (e1) (e0))) ### Sym(=)
% 194.97/195.17 650. ((op (e0) (e0)) != (op (e1) (e0))) ((op (e0) (e0)) = (e3)) ((op (e1) (e0)) = (e3)) ### TransEq 647 648 649
% 194.97/195.17 651. (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ### ConjTree 650
% 194.97/195.17 652. ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e1) (e0)) = (e3)) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((unit) = (e3)) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e2) (e1)) = (e3)) ### DisjTree 109 625 630 651
% 194.97/195.17 653. (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (e1) (e0)) = (e3)) ((op (e0) (e0)) != (op (e1) (e0))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((unit) = (e3)) ((op (unit) (e0)) = (e0)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ### DisjTree 631 637 638 652
% 194.97/195.17 654. (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (e0) (e0)) != (op (e1) (e0))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (e1) (e0)) != (op (e1) (e3))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (e3) (e2)) != (op (e3) (e3))) ((op (unit) (e2)) = (e2)) ((op (e3) (e1)) != (op (e3) (e3))) ((op (unit) (e1)) = (e1)) ((op (e3) (e0)) != (op (e3) (e3))) ((op (unit) (e0)) = (e0)) ((unit) = (e3)) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e2) (e1)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ### DisjTree 639 640 646 653
% 194.97/195.17 655. (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (e0) (e0)) != (op (e1) (e0))) ((op (e2) (e1)) != (op (e2) (e2))) ((op (e0) (e3)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e1) (e2))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) ((op (e1) (e1)) != (op (e1) (e3))) ((op (e1) (e0)) != (op (e3) (e0))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (unit) (e3)) = (e3)) ((op (e1) (e0)) != (op (e1) (e1))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (e0) (e0)) != (op (e2) (e0))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (e0) (e3)) != (op (e2) (e3))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (e0) (e0)) != (op (e0) (e3))) ((op (unit) (e0)) = (e0)) ((op (e0) (e1)) != (op (e0) (e3))) ((op (unit) (e1)) = (e1)) ((op (e0) (e2)) != (op (e0) (e3))) ((op (unit) (e2)) = (e2)) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (e1) (e3)) != (op (e2) (e3))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (e2) (e2)) != (op (e2) (e3))) ((op (e1) (e2)) != (op (e3) (e2))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (e1) (e2)) != (op (e1) (e3))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (e2) (e0)) != (op (e2) (e3))) ((op (e0) (e3)) != (op (e3) (e3))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (e1) (e3)) != (op (e3) (e3))) ((op (e2) (e3)) != (op (e3) (e3))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) ((op (e3) (e0)) != (op (e3) (e3))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (e0) (e1)) != (op (e3) (e1))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (e3) (e1)) != (op (e3) (e2))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (e3) (e0)) != (op (e3) (e2))) ((op (e3) (e0)) != (op (e3) (e1))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (e2) (e1)) != (op (e3) (e1))) ((op (e3) (e2)) != (op (e3) (e3))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (e1) (e1)) != (op (e2) (e1))) ((op (e1) (e0)) != (op (e1) (e3))) ((op (e1) (unit)) = (e1)) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e2) (e0)) != (op (e2) (e1))) ((op (e2) (e1)) != (op (e2) (e3))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) ((op (e2) (e0)) != (op (e3) (e0))) ((op (e3) (unit)) = (e3)) ((op (e0) (e2)) != (op (e3) (e2))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) ((op (e3) (e1)) != (op (e3) (e3))) ((op (e2) (e0)) != (op (e2) (e2))) ((op (e2) (unit)) = (e2)) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) ### DisjTree 373 565 615 654
% 194.97/195.17 656. (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ ((op (e3) (e2)) != (op (e3) (e3)))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) ((op (e2) (unit)) = (e2)) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) ((op (e3) (unit)) = (e3)) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) ((op (e1) (unit)) = (e1)) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (unit) (e2)) = (e2)) ((op (unit) (e1)) = (e1)) ((op (unit) (e0)) = (e0)) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (unit) (e3)) = (e3)) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))) ### ConjTree 655
% 194.97/195.17 657. (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))))))))))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) ((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) ((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) ((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) ((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) ((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) ((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) ((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) ((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) ((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) ((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) ((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) ((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) ((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) ((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) ((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) ((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) ((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) ((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) ((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) ((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) ((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) ((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) ((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) ((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) ((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) ((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) ((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ ((op (e3) (e2)) != (op (e3) (e3)))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 656
% 194.97/195.17 658. 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(e0)) (e1)) = (op (e1) (op (e0) (e1)))) /\ (((op (op (e1) (e0)) (e2)) = (op (e1) (op (e0) (e2)))) /\ (((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) /\ (((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) /\ (((op (op (e1) (e1)) (e1)) = (op (e1) (op (e1) (e1)))) /\ (((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) /\ (((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) /\ (((op (op (e1) (e2)) (e0)) = (op (e1) (op (e2) (e0)))) /\ (((op (op (e1) (e2)) (e1)) = (op (e1) (op (e2) (e1)))) /\ (((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) /\ (((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) /\ (((op (op (e1) (e3)) (e0)) = (op (e1) (op (e3) (e0)))) /\ (((op (op (e1) (e3)) (e1)) = (op (e1) (op (e3) (e1)))) /\ (((op (op (e1) (e3)) (e2)) = (op (e1) (op (e3) (e2)))) /\ (((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) /\ (((op (op (e2) (e0)) (e0)) = (op (e2) (op (e0) (e0)))) /\ (((op (op (e2) (e0)) (e1)) = (op (e2) (op (e0) (e1)))) /\ (((op (op (e2) (e0)) (e2)) = (op (e2) (op (e0) (e2)))) /\ (((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) /\ (((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) /\ (((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) /\ (((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) /\ (((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) /\ (((op (op (e2) (e2)) (e0)) = (op (e2) (op (e2) (e0)))) /\ (((op (op (e2) (e2)) (e1)) = (op (e2) (op (e2) (e1)))) /\ (((op (op (e2) (e2)) (e2)) = (op (e2) (op (e2) (e2)))) /\ (((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) /\ (((op (op (e2) (e3)) (e0)) = (op (e2) (op (e3) (e0)))) /\ (((op (op (e2) (e3)) (e1)) = (op (e2) (op (e3) (e1)))) /\ (((op (op (e2) (e3)) (e2)) = (op (e2) (op (e3) (e2)))) /\ (((op (op (e2) (e3)) (e3)) = (op (e2) (op (e3) (e3)))) /\ (((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) /\ (((op (op (e3) (e0)) (e1)) = (op (e3) (op (e0) (e1)))) /\ (((op (op (e3) (e0)) (e2)) = (op (e3) (op (e0) (e2)))) /\ (((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) /\ (((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) /\ (((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) /\ (((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) /\ (((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) /\ (((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) /\ (((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) /\ (((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) /\ (((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) /\ (((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) /\ (((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) /\ (((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) /\ ((op (op (e3) (e3)) (e3)) = (op (e3) (op (e3) (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ ((op (e3) (e2)) != (op (e3) (e3)))))))))))))))))))))))))))))))))))))))))))))))))) (((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) (((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) (((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) (((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) (((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) (((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) (((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) (((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))))))))))) ### ConjTree 657
% 194.97/195.17 659. ((((op (e0) (e0)) = (e0)) \/ (((op (e0) (e0)) = (e1)) \/ (((op (e0) (e0)) = (e2)) \/ ((op (e0) (e0)) = (e3))))) /\ ((((op (e0) (e1)) = (e0)) \/ (((op (e0) (e1)) = (e1)) \/ (((op (e0) (e1)) = (e2)) \/ ((op (e0) (e1)) = (e3))))) /\ ((((op (e0) (e2)) = (e0)) \/ (((op (e0) (e2)) = (e1)) \/ (((op (e0) (e2)) = (e2)) \/ ((op (e0) (e2)) = (e3))))) /\ ((((op (e0) (e3)) = (e0)) \/ (((op (e0) (e3)) = (e1)) \/ (((op (e0) (e3)) = (e2)) \/ ((op (e0) (e3)) = (e3))))) /\ ((((op (e1) (e0)) = (e0)) \/ (((op (e1) (e0)) = (e1)) \/ (((op (e1) (e0)) = (e2)) \/ ((op (e1) (e0)) = (e3))))) /\ ((((op (e1) (e1)) = (e0)) \/ (((op (e1) (e1)) = (e1)) \/ (((op (e1) (e1)) = (e2)) \/ ((op (e1) (e1)) = (e3))))) /\ ((((op (e1) (e2)) = (e0)) \/ (((op (e1) (e2)) = (e1)) \/ (((op (e1) (e2)) = (e2)) \/ ((op (e1) (e2)) = (e3))))) /\ ((((op (e1) (e3)) = (e0)) \/ (((op (e1) (e3)) = (e1)) \/ (((op (e1) (e3)) = (e2)) \/ ((op (e1) (e3)) = (e3))))) /\ ((((op (e2) (e0)) = (e0)) \/ (((op (e2) (e0)) = (e1)) \/ (((op (e2) (e0)) = (e2)) \/ ((op (e2) (e0)) = (e3))))) /\ ((((op (e2) (e1)) = (e0)) \/ (((op (e2) (e1)) = (e1)) \/ (((op (e2) (e1)) = (e2)) \/ ((op (e2) (e1)) = (e3))))) /\ ((((op (e2) (e2)) = (e0)) \/ (((op (e2) (e2)) = (e1)) \/ (((op (e2) (e2)) = (e2)) \/ ((op (e2) (e2)) = (e3))))) /\ ((((op (e2) (e3)) = (e0)) \/ (((op (e2) (e3)) = (e1)) \/ (((op (e2) (e3)) = (e2)) \/ ((op (e2) (e3)) = (e3))))) /\ ((((op (e3) (e0)) = (e0)) \/ (((op (e3) (e0)) = (e1)) \/ (((op (e3) (e0)) = (e2)) \/ ((op (e3) (e0)) = (e3))))) /\ ((((op (e3) (e1)) = (e0)) \/ (((op (e3) (e1)) = (e1)) \/ (((op (e3) (e1)) = (e2)) \/ ((op (e3) (e1)) = (e3))))) /\ ((((op (e3) (e2)) = (e0)) \/ (((op (e3) (e2)) = (e1)) \/ (((op (e3) (e2)) = (e2)) \/ ((op (e3) (e2)) = (e3))))) /\ (((op (e3) (e3)) = (e0)) \/ (((op (e3) (e3)) = (e1)) \/ (((op (e3) (e3)) = (e2)) \/ ((op (e3) (e3)) = (e3)))))))))))))))))))) (((op (unit) (e0)) = (e0)) /\ (((op (e0) (unit)) = (e0)) /\ (((op (unit) (e1)) = (e1)) /\ (((op (e1) (unit)) = (e1)) /\ (((op (unit) (e2)) = (e2)) /\ (((op (e2) (unit)) = (e2)) /\ (((op (unit) (e3)) = (e3)) /\ (((op (e3) (unit)) = (e3)) /\ (((unit) = (e0)) \/ (((unit) = (e1)) \/ (((unit) = (e2)) \/ ((unit) = (e3))))))))))))) (-. (((e3) = (op (e0) (e0))) /\ ((e2) = (op (e1) (e0))))) (-. (((e2) = (op (e0) (e0))) /\ ((e3) = (op (e1) (e0))))) (-. (((e2) = (op (e0) (e0))) /\ ((e1) = (op (e3) (e0))))) (-. (((e1) = (op (e0) (e0))) /\ ((e3) = (op (e2) (e0))))) (-. (((e1) = (op (e0) (e0))) /\ ((e2) = (op (e3) (e0))))) (-. (((e2) = (op (e3) (e3))) /\ ((e1) = (op (e0) (e3))))) (-. (((e1) = (op (e3) (e3))) /\ ((e2) = (op (e0) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e2) = (op (e1) (e3))))) (-. (((e0) = (op (e1) (e1))) /\ ((e3) = (op (e2) (e1))))) (-. (((e0) = (op (e1) (e1))) /\ ((e2) = (op (e3) (e1))))) ((((op (e0) (e0)) = (e0)) /\ (((op (e1) (e1)) = (e0)) /\ (((op (e2) (e2)) = (e0)) /\ ((op (e3) (e3)) = (e0))))) \/ ((((op (e0) (e0)) = (e1)) /\ (((op (e1) (e1)) = (e1)) /\ (((op (e2) (e2)) = (e1)) /\ ((op (e3) (e3)) = (e1))))) \/ ((((op (e0) (e0)) = (e2)) /\ (((op (e1) (e1)) = (e2)) /\ (((op (e2) (e2)) = (e2)) /\ ((op (e3) (e3)) = (e2))))) \/ (((op (e0) (e0)) = (e3)) /\ (((op (e1) (e1)) = (e3)) /\ (((op (e2) (e2)) = (e3)) /\ ((op (e3) (e3)) = (e3)))))))) (-. (((e0) = (op (e2) (e2))) /\ ((e1) = (op (e3) (e2))))) (-. (((e2) = (op (e1) (e1))) /\ ((e0) = (op (e3) (e1))))) (-. (((e1) = (op (e3) (e3))) /\ ((e0) = (op (e2) (e3))))) (-. (((e0) = (op (e3) (e3))) /\ ((e1) = (op (e2) (e3))))) (-. (((e1) = (op (e2) (e2))) /\ ((e0) = (op (e3) (e2))))) (-. (((e3) = (op (e1) (e1))) /\ ((e0) = (op (e2) (e1))))) (-. (((e3) = (op (e2) (e2))) /\ ((e0) = (op (e1) (e2))))) (((op (e0) (e0)) != (op (e1) (e0))) /\ (((op (e0) (e0)) != (op (e2) (e0))) /\ (((op (e0) (e0)) != (op (e3) (e0))) /\ (((op (e1) (e0)) != (op (e2) (e0))) /\ (((op (e1) (e0)) != (op (e3) (e0))) /\ (((op (e2) (e0)) != (op (e3) (e0))) /\ (((op (e0) (e1)) != (op (e1) (e1))) /\ (((op (e0) (e1)) != (op (e2) (e1))) /\ (((op (e0) (e1)) != (op (e3) (e1))) /\ (((op (e1) (e1)) != (op (e2) (e1))) /\ (((op (e1) (e1)) != (op (e3) (e1))) /\ (((op (e2) (e1)) != (op (e3) (e1))) /\ (((op (e0) (e2)) != (op (e1) (e2))) /\ (((op (e0) (e2)) != (op (e2) (e2))) /\ (((op (e0) (e2)) != (op (e3) (e2))) /\ (((op (e1) (e2)) != (op (e2) (e2))) /\ (((op (e1) (e2)) != (op (e3) (e2))) /\ (((op (e2) (e2)) != (op (e3) (e2))) /\ (((op (e0) (e3)) != (op (e1) (e3))) /\ (((op (e0) (e3)) != (op (e2) (e3))) /\ (((op (e0) (e3)) != (op (e3) (e3))) /\ (((op (e1) (e3)) != (op (e2) (e3))) /\ (((op (e1) (e3)) != (op (e3) (e3))) /\ (((op (e2) (e3)) != (op (e3) (e3))) /\ (((op (e0) (e0)) != (op (e0) (e1))) /\ (((op (e0) (e0)) != (op (e0) (e2))) /\ (((op (e0) (e0)) != (op (e0) (e3))) /\ (((op (e0) (e1)) != (op (e0) (e2))) /\ (((op (e0) (e1)) != (op (e0) (e3))) /\ (((op (e0) (e2)) != (op (e0) (e3))) /\ (((op (e1) (e0)) != (op (e1) (e1))) /\ (((op (e1) (e0)) != (op (e1) (e2))) /\ (((op (e1) (e0)) != (op (e1) (e3))) /\ (((op (e1) (e1)) != (op (e1) (e2))) /\ (((op (e1) (e1)) != (op (e1) (e3))) /\ (((op (e1) (e2)) != (op (e1) (e3))) /\ (((op (e2) (e0)) != (op (e2) (e1))) /\ (((op (e2) (e0)) != (op (e2) (e2))) /\ (((op (e2) (e0)) != (op (e2) (e3))) /\ (((op (e2) (e1)) != (op (e2) (e2))) /\ (((op (e2) (e1)) != (op (e2) (e3))) /\ (((op (e2) (e2)) != (op (e2) (e3))) /\ (((op (e3) (e0)) != (op (e3) (e1))) /\ (((op (e3) (e0)) != (op (e3) (e2))) /\ (((op (e3) (e0)) != (op (e3) (e3))) /\ (((op (e3) (e1)) != (op (e3) (e2))) /\ (((op (e3) (e1)) != (op (e3) (e3))) /\ ((op (e3) (e2)) != (op (e3) (e3)))))))))))))))))))))))))))))))))))))))))))))))))) (((op (op (e0) (e0)) (e0)) = (op (e0) (op (e0) (e0)))) /\ (((op (op (e0) (e0)) (e1)) = (op (e0) (op (e0) (e1)))) /\ (((op (op (e0) (e0)) (e2)) = (op (e0) (op (e0) (e2)))) /\ (((op (op (e0) (e0)) (e3)) = (op (e0) (op (e0) (e3)))) /\ (((op (op (e0) (e1)) (e0)) = (op (e0) (op (e1) (e0)))) /\ (((op (op (e0) (e1)) (e1)) = (op (e0) (op (e1) (e1)))) /\ (((op (op (e0) (e1)) (e2)) = (op (e0) (op (e1) (e2)))) /\ (((op (op (e0) (e1)) (e3)) = (op (e0) (op (e1) (e3)))) /\ (((op (op (e0) (e2)) (e0)) = (op (e0) (op (e2) (e0)))) /\ (((op (op (e0) (e2)) (e1)) = (op (e0) (op (e2) (e1)))) /\ (((op (op (e0) (e2)) (e2)) = (op (e0) (op (e2) (e2)))) /\ (((op (op (e0) (e2)) (e3)) = (op (e0) (op (e2) (e3)))) /\ (((op (op (e0) (e3)) (e0)) = (op (e0) (op (e3) (e0)))) /\ (((op (op (e0) (e3)) (e1)) = (op (e0) (op (e3) (e1)))) /\ (((op (op (e0) (e3)) (e2)) = (op (e0) (op (e3) (e2)))) /\ (((op (op (e0) (e3)) (e3)) = (op (e0) (op (e3) (e3)))) /\ (((op (op (e1) (e0)) (e0)) = (op (e1) (op (e0) (e0)))) /\ (((op (op (e1) (e0)) (e1)) = (op (e1) (op (e0) (e1)))) /\ (((op (op (e1) (e0)) (e2)) = (op (e1) (op (e0) (e2)))) /\ (((op (op (e1) (e0)) (e3)) = (op (e1) (op (e0) (e3)))) /\ (((op (op (e1) (e1)) (e0)) = (op (e1) (op (e1) (e0)))) /\ (((op (op (e1) (e1)) (e1)) = (op (e1) (op (e1) (e1)))) /\ (((op (op (e1) (e1)) (e2)) = (op (e1) (op (e1) (e2)))) /\ (((op (op (e1) (e1)) (e3)) = (op (e1) (op (e1) (e3)))) /\ (((op (op (e1) (e2)) (e0)) = (op (e1) (op (e2) (e0)))) /\ (((op (op (e1) (e2)) (e1)) = (op (e1) (op (e2) (e1)))) /\ (((op (op (e1) (e2)) (e2)) = (op (e1) (op (e2) (e2)))) /\ (((op (op (e1) (e2)) (e3)) = (op (e1) (op (e2) (e3)))) /\ (((op (op (e1) (e3)) (e0)) = (op (e1) (op (e3) (e0)))) /\ (((op (op (e1) (e3)) (e1)) = (op (e1) (op (e3) (e1)))) /\ (((op (op (e1) (e3)) (e2)) = (op (e1) (op (e3) (e2)))) /\ (((op (op (e1) (e3)) (e3)) = (op (e1) (op (e3) (e3)))) /\ (((op (op (e2) (e0)) (e0)) = (op (e2) (op (e0) (e0)))) /\ (((op (op (e2) (e0)) (e1)) = (op (e2) (op (e0) (e1)))) /\ (((op (op (e2) (e0)) (e2)) = (op (e2) (op (e0) (e2)))) /\ (((op (op (e2) (e0)) (e3)) = (op (e2) (op (e0) (e3)))) /\ (((op (op (e2) (e1)) (e0)) = (op (e2) (op (e1) (e0)))) /\ (((op (op (e2) (e1)) (e1)) = (op (e2) (op (e1) (e1)))) /\ (((op (op (e2) (e1)) (e2)) = (op (e2) (op (e1) (e2)))) /\ (((op (op (e2) (e1)) (e3)) = (op (e2) (op (e1) (e3)))) /\ (((op (op (e2) (e2)) (e0)) = (op (e2) (op (e2) (e0)))) /\ (((op (op (e2) (e2)) (e1)) = (op (e2) (op (e2) (e1)))) /\ (((op (op (e2) (e2)) (e2)) = (op (e2) (op (e2) (e2)))) /\ (((op (op (e2) (e2)) (e3)) = (op (e2) (op (e2) (e3)))) /\ (((op (op (e2) (e3)) (e0)) = (op (e2) (op (e3) (e0)))) /\ (((op (op (e2) (e3)) (e1)) = (op (e2) (op (e3) (e1)))) /\ (((op (op (e2) (e3)) (e2)) = (op (e2) (op (e3) (e2)))) /\ (((op (op (e2) (e3)) (e3)) = (op (e2) (op (e3) (e3)))) /\ (((op (op (e3) (e0)) (e0)) = (op (e3) (op (e0) (e0)))) /\ (((op (op (e3) (e0)) (e1)) = (op (e3) (op (e0) (e1)))) /\ (((op (op (e3) (e0)) (e2)) = (op (e3) (op (e0) (e2)))) /\ (((op (op (e3) (e0)) (e3)) = (op (e3) (op (e0) (e3)))) /\ (((op (op (e3) (e1)) (e0)) = (op (e3) (op (e1) (e0)))) /\ (((op (op (e3) (e1)) (e1)) = (op (e3) (op (e1) (e1)))) /\ (((op (op (e3) (e1)) (e2)) = (op (e3) (op (e1) (e2)))) /\ (((op (op (e3) (e1)) (e3)) = (op (e3) (op (e1) (e3)))) /\ (((op (op (e3) (e2)) (e0)) = (op (e3) (op (e2) (e0)))) /\ (((op (op (e3) (e2)) (e1)) = (op (e3) (op (e2) (e1)))) /\ (((op (op (e3) (e2)) (e2)) = (op (e3) (op (e2) (e2)))) /\ (((op (op (e3) (e2)) (e3)) = (op (e3) (op (e2) (e3)))) /\ (((op (op (e3) (e3)) (e0)) = (op (e3) (op (e3) (e0)))) /\ (((op (op (e3) (e3)) (e1)) = (op (e3) (op (e3) (e1)))) /\ (((op (op (e3) (e3)) (e2)) = (op (e3) (op (e3) (e2)))) /\ ((op (op (e3) (e3)) (e3)) = (op (e3) (op (e3) (e3))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))) ### ConjTree 658
% 194.97/195.17 % SZS output end Proof
% 194.97/195.17 (* END-PROOF *)
%------------------------------------------------------------------------------