TSTP Solution File: KRS084+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n020.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 : Sun Jul 17 03:31:51 EDT 2022
% Result : Unsatisfiable 79.41s 79.61s
% Output : Proof 79.87s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n020.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 07:33:06 EDT 2022
% 0.12/0.34 % CPUTime :
% 79.41/79.61 % SZS status Theorem
% 79.41/79.61 (* PROOF-FOUND *)
% 79.41/79.61 (* BEGIN-PROOF *)
% 79.41/79.61 % SZS output start Proof
% 79.41/79.61 1. (rf T_0 (i2003_11_14_17_19_35232)) (-. (rf T_0 (i2003_11_14_17_19_35232))) ### Axiom
% 79.41/79.61 2. (rf T_0 T_1) (-. (rf T_0 T_1)) ### Axiom
% 79.41/79.61 3. ((i2003_11_14_17_19_35232) != T_1) ((i2003_11_14_17_19_35232) = T_1) ### Axiom
% 79.41/79.61 4. (((rf T_0 (i2003_11_14_17_19_35232)) /\ (rf T_0 T_1)) => ((i2003_11_14_17_19_35232) = T_1)) ((i2003_11_14_17_19_35232) != T_1) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) ### DisjTree 1 2 3
% 79.41/79.61 5. (All Z, (((rf T_0 (i2003_11_14_17_19_35232)) /\ (rf T_0 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((i2003_11_14_17_19_35232) != T_1) ### All 4
% 79.41/79.61 6. (All Y, (All Z, (((rf T_0 Y) /\ (rf T_0 Z)) => (Y = Z)))) ((i2003_11_14_17_19_35232) != T_1) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) ### All 5
% 79.41/79.61 7. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((i2003_11_14_17_19_35232) != T_1) ### All 6
% 79.41/79.61 8. ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (-. ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232)))))) ### Axiom
% 79.41/79.61 9. (-. (cUnsatisfiable (i2003_11_14_17_19_35232))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) ### Definition-Pseudo(cUnsatisfiable) 8
% 79.41/79.61 10. (rf T_0 T_1) (-. (rf T_0 T_1)) ### Axiom
% 79.41/79.61 11. (rf T_0 (i2003_11_14_17_19_35232)) (-. (rf T_0 (i2003_11_14_17_19_35232))) ### Axiom
% 79.41/79.61 12. (T_1 != (i2003_11_14_17_19_35232)) (T_1 = (i2003_11_14_17_19_35232)) ### Axiom
% 79.41/79.61 13. (((rf T_0 T_1) /\ (rf T_0 (i2003_11_14_17_19_35232))) => (T_1 = (i2003_11_14_17_19_35232))) (T_1 != (i2003_11_14_17_19_35232)) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ### DisjTree 10 11 12
% 79.41/79.61 14. (All Z, (((rf T_0 T_1) /\ (rf T_0 Z)) => (T_1 = Z))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (T_1 != (i2003_11_14_17_19_35232)) ### All 13
% 79.41/79.61 15. (All Y, (All Z, (((rf T_0 Y) /\ (rf T_0 Z)) => (Y = Z)))) (T_1 != (i2003_11_14_17_19_35232)) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ### All 14
% 79.41/79.61 16. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (T_1 != (i2003_11_14_17_19_35232)) ### All 15
% 79.41/79.61 17. (rf T_2 T_1) (-. (rf T_2 T_1)) ### Axiom
% 79.41/79.61 18. (-. (rinvF T_1 T_2)) (rf T_2 T_1) ### Definition-Pseudo(rinvF) 17
% 79.41/79.61 19. (rf T_2 T_1) (-. (rf T_2 T_1)) ### Axiom
% 79.41/79.61 20. (rf T_2 T_3) (-. (rf T_2 T_3)) ### Axiom
% 79.41/79.61 21. (T_1 != T_3) (T_1 = T_3) ### Axiom
% 79.41/79.61 22. (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (T_1 != T_3) (rf T_2 T_3) (rf T_2 T_1) ### DisjTree 19 20 21
% 79.41/79.61 23. (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (rf T_2 T_3) (T_1 != T_3) ### All 22
% 79.41/79.61 24. (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (T_1 != T_3) (rf T_2 T_3) (rf T_2 T_1) ### All 23
% 79.41/79.61 25. ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (-. ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1))))) ### Axiom
% 79.41/79.61 26. (-. (cUnsatisfiable T_1)) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) ### Definition-Pseudo(cUnsatisfiable) 25
% 79.41/79.61 27. (rf T_2 T_1) (-. (rf T_2 T_1)) ### Axiom
% 79.41/79.61 28. (rf T_2 (i2003_11_14_17_19_35232)) (-. (rf T_2 (i2003_11_14_17_19_35232))) ### Axiom
% 79.41/79.61 29. (T_1 != T_1) ### Refl(=)
% 79.41/79.61 30. (T_1 != T_1) ### Refl(=)
% 79.41/79.61 31. (rf T_2 (i2003_11_14_17_19_35232)) (-. (rf T_2 (i2003_11_14_17_19_35232))) ### Axiom
% 79.41/79.61 32. (rf T_2 T_1) (-. (rf T_2 T_1)) ### Axiom
% 79.41/79.61 33. (rf T_2 T_3) (-. (rf T_2 T_3)) ### Axiom
% 79.41/79.61 34. (T_1 = T_3) (T_3 != T_1) ### Sym(=)
% 79.41/79.61 35. (rf T_4 T_3) (-. (rf T_4 T_3)) ### Axiom
% 79.41/79.61 36. (-. (rinvF T_3 T_4)) (rf T_4 T_3) ### Definition-Pseudo(rinvF) 35
% 79.41/79.61 37. (rf T_4 T_1) (-. (rf T_4 T_1)) ### Axiom
% 79.41/79.61 38. (rf T_4 T_5) (-. (rf T_4 T_5)) ### Axiom
% 79.41/79.61 39. (T_5 != T_1) (T_1 = T_5) ### Sym(=)
% 79.41/79.61 40. (((rf T_4 T_1) /\ (rf T_4 T_5)) => (T_1 = T_5)) (T_5 != T_1) (rf T_4 T_5) (rf T_4 T_1) ### DisjTree 37 38 39
% 79.41/79.61 41. (All Z, (((rf T_4 T_1) /\ (rf T_4 Z)) => (T_1 = Z))) (rf T_4 T_1) (rf T_4 T_5) (T_5 != T_1) ### All 40
% 79.41/79.61 42. (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (T_5 != T_1) (rf T_4 T_5) (rf T_4 T_1) ### All 41
% 79.41/79.61 43. (T_3 != T_3) ### Refl(=)
% 79.41/79.61 44. (T_3 != T_5) (T_1 = T_3) (rf T_4 T_1) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) ### Trans-sym 42 43
% 79.41/79.61 45. (rf T_2 T_3) (-. (rf T_2 T_3)) ### Axiom
% 79.41/79.61 46. (-. (rinvF T_3 T_2)) (rf T_2 T_3) ### Definition-Pseudo(rinvF) 45
% 79.41/79.61 47. (-. (rf T_2 T_5)) (rf T_2 T_5) ### Axiom
% 79.41/79.61 48. (rinvF T_5 T_2) (-. (rf T_2 T_5)) ### Definition-Pseudo(rinvF) 47
% 79.41/79.61 49. (((T_3 = T_5) /\ (rinvF T_3 T_2)) => (rinvF T_5 T_2)) (-. (rf T_2 T_5)) (rf T_2 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (rf T_4 T_1) (T_1 = T_3) ### DisjTree 44 46 48
% 79.41/79.61 50. (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (T_1 = T_3) (rf T_4 T_1) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_2 T_3) (-. (rf T_2 T_5)) ### All 49
% 79.41/79.61 51. (rinvF T_1 T_4) (-. (rf T_2 T_5)) (rf T_2 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (T_1 = T_3) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) ### Definition-Pseudo(rinvF) 50
% 79.41/79.61 52. (((T_3 = T_1) /\ (rinvF T_3 T_4)) => (rinvF T_1 T_4)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_2 T_3) (-. (rf T_2 T_5)) (rf T_4 T_3) (T_1 = T_3) ### DisjTree 34 36 51
% 79.41/79.61 53. (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (T_1 = T_3) (rf T_4 T_3) (-. (rf T_2 T_5)) (rf T_2 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) ### All 52
% 79.41/79.61 54. (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (-. (rf T_2 T_5)) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (rf T_2 T_1) ### DisjTree 32 33 53
% 79.41/79.61 55. ((i2003_11_14_17_19_35232) != T_5) ((i2003_11_14_17_19_35232) = T_5) ### Axiom
% 79.41/79.61 56. (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 T_5)) => ((i2003_11_14_17_19_35232) = T_5)) ((i2003_11_14_17_19_35232) != T_5) (rf T_2 T_1) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (rf T_2 (i2003_11_14_17_19_35232)) ### DisjTree 31 54 55
% 79.41/79.61 57. (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 (i2003_11_14_17_19_35232)) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (rf T_2 T_1) ((i2003_11_14_17_19_35232) != T_5) ### All 56
% 79.41/79.61 58. (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) ((i2003_11_14_17_19_35232) != T_5) (rf T_2 T_1) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_2 (i2003_11_14_17_19_35232)) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) ### All 57
% 79.41/79.61 59. (T_1 != T_5) (T_1 = (i2003_11_14_17_19_35232)) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 (i2003_11_14_17_19_35232)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) ### TransEq 29 30 58
% 79.41/79.68 60. (((rf T_2 T_1) /\ (rf T_2 (i2003_11_14_17_19_35232))) => (T_1 = (i2003_11_14_17_19_35232))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (T_1 != T_5) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ### DisjTree 27 28 59
% 79.41/79.68 61. (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (T_1 != T_5) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) ### All 60
% 79.41/79.68 62. (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (T_1 != T_5) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ### All 61
% 79.41/79.68 63. (rf T_2 (i2003_11_14_17_19_35232)) (-. (rf T_2 (i2003_11_14_17_19_35232))) ### Axiom
% 79.41/79.68 64. (rf T_2 T_3) (-. (rf T_2 T_3)) ### Axiom
% 79.41/79.68 65. (rf T_2 (i2003_11_14_17_19_35232)) (-. (rf T_2 (i2003_11_14_17_19_35232))) ### Axiom
% 79.41/79.68 66. (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (-. (rf T_2 T_5)) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) ### All 54
% 79.41/79.68 67. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (-. (rf T_2 T_5)) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) ### All 66
% 79.41/79.68 68. (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (-. (rf T_2 T_5)) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 67
% 79.41/79.68 69. (rf T_2 T_1) (-. (rf T_2 T_1)) ### Axiom
% 79.41/79.68 70. ((i2003_11_14_17_19_35232) = T_3) (T_3 != (i2003_11_14_17_19_35232)) ### Sym(=)
% 79.41/79.68 71. (T_5 != T_5) ### Refl(=)
% 79.41/79.68 72. (T_5 != T_3) ((i2003_11_14_17_19_35232) = T_5) ((i2003_11_14_17_19_35232) = T_3) ### Trans-sym 70 71
% 79.41/79.68 73. (rf T_6 T_5) (-. (rf T_6 T_5)) ### Axiom
% 79.41/79.68 74. (-. (rinvF T_5 T_6)) (rf T_6 T_5) ### Definition-Pseudo(rinvF) 73
% 79.41/79.68 75. (rf T_2 T_3) (-. (rf T_2 T_3)) ### Axiom
% 79.41/79.68 76. (T_1 = T_5) (T_5 != T_1) ### Sym(=)
% 79.41/79.68 77. (rf T_6 T_1) (-. (rf T_6 T_1)) ### Axiom
% 79.41/79.68 78. (rf T_6 T_7) (-. (rf T_6 T_7)) ### Axiom
% 79.41/79.68 79. (T_1 = T_7) (T_1 != T_7) ### Axiom
% 79.41/79.68 80. (rf T_2 T_7) (-. (rf T_2 T_7)) ### Axiom
% 79.41/79.68 81. (rf T_2 T_3) (-. (rf T_2 T_3)) ### Axiom
% 79.41/79.68 82. (T_7 = T_3) (T_3 != T_7) ### Sym(=)
% 79.41/79.68 83. ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (-. ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3))))) ### Axiom
% 79.41/79.68 84. (-. (cUnsatisfiable T_3)) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) ### Definition-Pseudo(cUnsatisfiable) 83
% 79.41/79.68 85. (rf T_6 T_7) (-. (rf T_6 T_7)) ### Axiom
% 79.41/79.68 86. (rf T_6 T_3) (-. (rf T_6 T_3)) ### Axiom
% 79.41/79.68 87. (T_1 != T_1) ### Refl(=)
% 79.41/79.68 88. (rf T_8 T_9) (-. (rf T_8 T_9)) ### Axiom
% 79.41/79.68 89. (T_7 = T_3) (T_7 != T_3) ### Axiom
% 79.41/79.68 90. (rf T_8 T_7) (-. (rf T_8 T_7)) ### Axiom
% 79.41/79.68 91. (-. (rinvF T_7 T_8)) (rf T_8 T_7) ### Definition-Pseudo(rinvF) 90
% 79.41/79.68 92. (-. (rf T_8 T_3)) (rf T_8 T_3) ### Axiom
% 79.41/79.68 93. (rinvF T_3 T_8) (-. (rf T_8 T_3)) ### Definition-Pseudo(rinvF) 92
% 79.41/79.68 94. (((T_7 = T_3) /\ (rinvF T_7 T_8)) => (rinvF T_3 T_8)) (-. (rf T_8 T_3)) (rf T_8 T_7) (T_7 = T_3) ### DisjTree 89 91 93
% 79.41/79.68 95. (All C, (((T_7 = T_3) /\ (rinvF T_7 C)) => (rinvF T_3 C))) (T_7 = T_3) (rf T_8 T_7) (-. (rf T_8 T_3)) ### All 94
% 79.41/79.68 96. (T_9 != T_3) (T_9 = T_3) ### Axiom
% 79.41/79.68 97. (((rf T_8 T_9) /\ (rf T_8 T_3)) => (T_9 = T_3)) (T_9 != T_3) (rf T_8 T_7) (T_7 = T_3) (All C, (((T_7 = T_3) /\ (rinvF T_7 C)) => (rinvF T_3 C))) (rf T_8 T_9) ### DisjTree 88 95 96
% 79.41/79.68 98. (All Z, (((rf T_8 T_9) /\ (rf T_8 Z)) => (T_9 = Z))) (rf T_8 T_9) (All C, (((T_7 = T_3) /\ (rinvF T_7 C)) => (rinvF T_3 C))) (T_7 = T_3) (rf T_8 T_7) (T_9 != T_3) ### All 97
% 79.41/79.68 99. (All Y, (All Z, (((rf T_8 Y) /\ (rf T_8 Z)) => (Y = Z)))) (T_9 != T_3) (rf T_8 T_7) (T_7 = T_3) (All C, (((T_7 = T_3) /\ (rinvF T_7 C)) => (rinvF T_3 C))) (rf T_8 T_9) ### All 98
% 79.41/79.68 100. (All B, (All C, (((T_7 = B) /\ (rinvF T_7 C)) => (rinvF B C)))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (T_9 != T_3) (All Y, (All Z, (((rf T_8 Y) /\ (rf T_8 Z)) => (Y = Z)))) ### All 99
% 79.41/79.68 101. (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All Y, (All Z, (((rf T_8 Y) /\ (rf T_8 Z)) => (Y = Z)))) (T_9 != T_3) (rf T_8 T_7) (T_7 = T_3) (rf T_8 T_9) ### All 100
% 79.41/79.68 102. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (T_9 != T_3) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ### All 101
% 79.41/79.68 103. (T_5 != T_5) ### Refl(=)
% 79.41/79.68 104. (T_5 != T_9) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (T_7 = T_3) (rf T_8 T_9) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Trans-sym 102 103
% 79.41/79.68 105. (T_1 != T_9) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ### Trans 87 104
% 79.41/79.68 106. (rf T_6 T_7) (-. (rf T_6 T_7)) ### Axiom
% 79.41/79.68 107. (rf T_6 T_9) (-. (rf T_6 T_9)) ### Axiom
% 79.41/79.68 108. (rf T_4 T_3) (-. (rf T_4 T_3)) ### Axiom
% 79.41/79.68 109. (-. (rr T_4 T_3)) (rr T_4 T_3) ### Axiom
% 79.41/79.68 110. ((rf T_4 T_3) => (rr T_4 T_3)) (-. (rr T_4 T_3)) (rf T_4 T_3) ### Imply 108 109
% 79.41/79.68 111. (All Y, ((rf T_4 Y) => (rr T_4 Y))) (rf T_4 T_3) (-. (rr T_4 T_3)) ### All 110
% 79.41/79.68 112. (All X, (All Y, ((rf X Y) => (rr X Y)))) (-. (rr T_4 T_3)) (rf T_4 T_3) ### All 111
% 79.41/79.68 113. (T_7 != T_7) ### Refl(=)
% 79.41/79.68 114. (-. (rr T_4 T_7)) (T_7 = T_3) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) ### TransEq2 112 112 113
% 79.41/79.68 115. (T_9 != T_9) ### Refl(=)
% 79.41/79.68 116. (-. (rr T_4 T_9)) (T_7 = T_9) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (T_7 = T_3) ### TransEq 114 114 115
% 79.41/79.68 117. (-. (rinvR T_9 T_4)) (T_7 = T_3) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (T_7 = T_9) ### Definition-Pseudo(rinvR) 116
% 79.41/79.68 118. (rf T_10 T_11) (-. (rf T_10 T_11)) ### Axiom
% 79.41/79.68 119. (rf T_10 T_4) (-. (rf T_10 T_4)) ### Axiom
% 79.41/79.68 120. (T_4 != T_11) (T_11 = T_4) ### Sym(=)
% 79.41/79.68 121. (((rf T_10 T_11) /\ (rf T_10 T_4)) => (T_11 = T_4)) (T_4 != T_11) (rf T_10 T_4) (rf T_10 T_11) ### DisjTree 118 119 120
% 79.41/79.68 122. (All Z, (((rf T_10 T_11) /\ (rf T_10 Z)) => (T_11 = Z))) (rf T_10 T_11) (rf T_10 T_4) (T_4 != T_11) ### All 121
% 79.41/79.68 123. (All Y, (All Z, (((rf T_10 Y) /\ (rf T_10 Z)) => (Y = Z)))) (T_4 != T_11) (rf T_10 T_4) (rf T_10 T_11) ### All 122
% 79.41/79.68 124. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_10 T_11) (rf T_10 T_4) (T_4 != T_11) ### All 123
% 79.41/79.68 125. (cc T_4) (-. (cc T_4)) ### Axiom
% 79.41/79.68 126. (-. (cc T_11)) (cc T_11) ### Axiom
% 79.41/79.68 127. (((T_4 = T_11) /\ (cc T_4)) => (cc T_11)) (-. (cc T_11)) (cc T_4) (rf T_10 T_4) (rf T_10 T_11) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### DisjTree 124 125 126
% 79.50/79.71 128. (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_10 T_11) (rf T_10 T_4) (cc T_4) (-. (cc T_11)) ### All 127
% 79.50/79.71 129. ((rf T_10 T_11) /\ (-. (cc T_11))) (cc T_4) (rf T_10 T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) ### And 128
% 79.50/79.71 130. (Ex Y, ((rf T_10 Y) /\ (-. (cc Y)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_10 T_4) (cc T_4) ### Exists 129
% 79.50/79.71 131. ((Ex Y, ((rf T_10 Y) /\ (-. (cc Y)))) /\ (cc T_10)) (cc T_4) (rf T_10 T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) ### And 130
% 79.50/79.71 132. (cd T_10) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_10 T_4) (cc T_4) ### Definition-Pseudo(cd) 131
% 79.50/79.71 133. (rinvF T_4 T_10) (cc T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cd T_10) ### Definition-Pseudo(rinvF) 132
% 79.50/79.71 134. ((rinvF T_4 T_10) /\ (cd T_10)) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cc T_4) ### And 133
% 79.50/79.71 135. (Ex Y, ((rinvF T_4 Y) /\ (cd Y))) (cc T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) ### Exists 134
% 79.50/79.71 136. ((rinvR T_9 T_4) => (Ex Y, ((rinvF T_4 Y) /\ (cd Y)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cc T_4) (T_7 = T_9) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (T_7 = T_3) ### Imply 117 135
% 79.50/79.71 137. (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (T_7 = T_3) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (T_7 = T_9) (cc T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) ### All 136
% 79.50/79.72 138. (((rf T_6 T_7) /\ (rf T_6 T_9)) => (T_7 = T_9)) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (T_7 = T_3) (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (rf T_6 T_9) (rf T_6 T_7) ### DisjTree 106 107 137
% 79.50/79.72 139. (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (rf T_6 T_7) (rf T_6 T_9) (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (T_7 = T_3) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) ### All 138
% 79.50/79.72 140. (rinvF T_9 T_6) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (T_7 = T_3) (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (rf T_6 T_7) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) ### Definition-Pseudo(rinvF) 139
% 79.50/79.72 141. (((T_5 = T_9) /\ (rinvF T_5 T_6)) => (rinvF T_9 T_6)) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (rf T_6 T_7) (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ### DisjTree 104 74 140
% 79.50/79.72 142. (All C, (((T_5 = T_9) /\ (rinvF T_5 C)) => (rinvF T_9 C))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (T_7 = T_3) (rf T_8 T_9) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (rf T_6 T_7) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) ### All 141
% 79.50/79.72 143. (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (rf T_6 T_7) (All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ### All 142
% 79.50/79.72 144. ((Ex Z, ((rinvF T_9 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_9 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_9)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (T_7 = T_3) (rf T_8 T_9) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (rf T_6 T_7) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ### ConjTree 143
% 79.50/79.72 145. (cUnsatisfiable T_9) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (rf T_6 T_7) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ### Definition-Pseudo(cUnsatisfiable) 144
% 79.50/79.72 146. (((T_1 = T_9) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable T_9)) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (rf T_6 T_7) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (T_7 = T_3) (rf T_8 T_9) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) ### DisjTree 105 26 145
% 79.50/79.72 147. (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (T_7 = T_3) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (rf T_6 T_7) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) ### All 146
% 79.50/79.72 148. (((rf T_6 T_7) /\ (rf T_6 T_3)) => (T_7 = T_3)) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (rf T_8 T_9) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ### DisjTree 85 86 147
% 79.50/79.72 149. (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_9) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All Z, (((rf T_6 T_7) /\ (rf T_6 Z)) => (T_7 = Z))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) ### All 148
% 79.50/79.77 150. (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (rf T_8 T_9) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ### All 149
% 79.50/79.77 151. ((rf T_8 T_9) /\ (-. (cc T_9))) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) ### And 150
% 79.50/79.77 152. (Ex Y, ((rf T_8 Y) /\ (-. (cc Y)))) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ### Exists 151
% 79.50/79.77 153. ((Ex Y, ((rf T_8 Y) /\ (-. (cc Y)))) /\ (cc T_8)) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_8 T_7) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) ### And 152
% 79.50/79.77 154. (cd T_8) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (rf T_8 T_7) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ### Definition-Pseudo(cd) 153
% 79.50/79.77 155. (rinvF T_7 T_8) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (cd T_8) ### Definition-Pseudo(rinvF) 154
% 79.50/79.77 156. ((rinvF T_7 T_8) /\ (cd T_8)) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ### And 155
% 79.50/79.77 157. (Ex Z, ((rinvF T_7 Z) /\ (cd Z))) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) ### Exists 156
% 79.50/79.77 158. ((Ex Z, ((rinvF T_7 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_7 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_7)))) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ### ConjTree 157
% 79.50/79.77 159. (cUnsatisfiable T_7) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) ### Definition-Pseudo(cUnsatisfiable) 158
% 79.50/79.77 160. (((T_3 = T_7) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable T_7)) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (T_7 = T_3) ### DisjTree 82 84 159
% 79.50/79.77 161. (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (T_7 = T_3) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) ### All 160
% 79.58/79.82 162. (((rf T_2 T_7) /\ (rf T_2 T_3)) => (T_7 = T_3)) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_7) ### DisjTree 80 81 161
% 79.58/79.82 163. (All Z, (((rf T_2 T_7) /\ (rf T_2 Z)) => (T_7 = Z))) (rf T_2 T_7) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) ### All 162
% 79.58/79.82 164. (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_7) ### All 163
% 79.58/79.82 165. (rinvF T_7 T_2) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) ### Definition-Pseudo(rinvF) 164
% 79.58/79.82 166. (((T_1 = T_7) /\ (rinvF T_1 T_2)) => (rinvF T_7 T_2)) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_1) (T_1 = T_7) ### DisjTree 79 18 165
% 79.58/79.82 167. (All C, (((T_1 = T_7) /\ (rinvF T_1 C)) => (rinvF T_7 C))) (T_1 = T_7) (rf T_2 T_1) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_7) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) ### All 166
% 79.58/79.82 168. (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) (rf T_6 T_7) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_1) (T_1 = T_7) ### All 167
% 79.58/79.82 169. (((rf T_6 T_1) /\ (rf T_6 T_7)) => (T_1 = T_7)) (rf T_2 T_1) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_1) ### DisjTree 77 78 168
% 79.58/79.82 170. (All Z, (((rf T_6 T_1) /\ (rf T_6 Z)) => (T_1 = Z))) (rf T_6 T_1) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_1) ### All 169
% 79.58/79.84 171. (rf T_2 T_1) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_6 Y) /\ (rf T_6 Z)) => (Y = Z)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_1) ### All 170
% 79.58/79.84 172. (rf T_6 T_1) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (rf T_6 T_5) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (T_1 = T_5) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_1) ### All 171
% 79.58/79.84 173. (rinvF T_1 T_6) (rf T_2 T_1) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (T_1 = T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (rf T_6 T_5) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) ### Definition-Pseudo(rinvF) 172
% 79.58/79.84 174. (((T_5 = T_1) /\ (rinvF T_5 T_6)) => (rinvF T_1 T_6)) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (rf T_4 T_3) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (T_3 = T_5) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_2 T_3) (rf T_2 T_1) (rf T_6 T_5) (T_1 = T_5) ### DisjTree 76 74 173
% 79.58/79.84 175. (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (T_1 = T_5) (rf T_6 T_5) (rf T_2 T_1) (rf T_2 T_3) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (T_3 = T_5) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (rf T_4 T_3) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) ### All 174
% 79.58/79.84 176. (((rf T_2 T_3) /\ (rf T_2 T_5)) => (T_3 = T_5)) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (rf T_6 T_3) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_6 T_5) (T_1 = T_5) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (rf T_2 T_3) ### DisjTree 75 54 175
% 79.58/79.84 177. (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (rf T_2 T_3) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (T_1 = T_5) (rf T_6 T_5) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (rf T_6 T_3) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) ### All 176
% 79.69/79.89 178. (rinvF T_3 T_6) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (rf T_6 T_5) (T_1 = T_5) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (rf T_2 T_3) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) ### Definition-Pseudo(rinvF) 177
% 79.69/79.89 179. (((T_5 = T_3) /\ (rinvF T_5 T_6)) => (rinvF T_3 T_6)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (rf T_2 T_3) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (T_1 = T_5) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_5) ((i2003_11_14_17_19_35232) = T_3) ((i2003_11_14_17_19_35232) = T_5) ### DisjTree 72 74 178
% 79.69/79.89 180. (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) ((i2003_11_14_17_19_35232) = T_5) ((i2003_11_14_17_19_35232) = T_3) (rf T_6 T_5) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (T_1 = T_5) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (rf T_2 T_3) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) ### All 179
% 79.69/79.89 181. (((rf T_2 T_1) /\ (rf T_2 T_5)) => (T_1 = T_5)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_5) ((i2003_11_14_17_19_35232) = T_3) ((i2003_11_14_17_19_35232) = T_5) (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_1) ### DisjTree 69 68 180
% 79.69/79.89 182. (rf T_2 T_1) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) ((i2003_11_14_17_19_35232) = T_5) ((i2003_11_14_17_19_35232) = T_3) (rf T_6 T_5) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) ### All 181
% 79.69/79.89 183. (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 T_5)) => ((i2003_11_14_17_19_35232) = T_5)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_5) ((i2003_11_14_17_19_35232) = T_3) (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 (i2003_11_14_17_19_35232)) ### DisjTree 65 68 182
% 79.74/79.95 184. (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 (i2003_11_14_17_19_35232)) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) ((i2003_11_14_17_19_35232) = T_3) (rf T_6 T_5) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) ### All 183
% 79.74/79.95 185. (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 T_3)) => ((i2003_11_14_17_19_35232) = T_3)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_5) (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### DisjTree 63 64 184
% 79.74/79.95 186. (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All C, (((T_5 = T_3) /\ (rinvF T_5 C)) => (rinvF T_3 C))) (rf T_6 T_5) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) ### All 185
% 79.74/79.95 187. (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (((rf T_2 T_1) /\ (rf T_2 T_3)) => (T_1 = T_3)) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### All 186
% 79.74/79.95 188. (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_6 T_5) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (((T_4 = B) /\ (cc T_4)) => (cc B))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) ### All 187
% 79.74/79.95 189. (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All C, (((T_3 = T_5) /\ (rinvF T_3 C)) => (rinvF T_5 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_7) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### All 188
% 79.74/79.98 190. (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_6 T_5) (rf T_6 T_7) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### All 189
% 79.74/79.98 191. ((rf T_6 T_7) /\ (-. (cc T_7))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### And 190
% 79.74/79.98 192. (Ex Y, ((rf T_6 Y) /\ (-. (cc Y)))) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_6 T_5) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### Exists 191
% 79.74/79.98 193. ((Ex Y, ((rf T_6 Y) /\ (-. (cc Y)))) /\ (cc T_6)) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_6 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### And 192
% 79.74/79.98 194. (cd T_6) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_6 T_5) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### Definition-Pseudo(cd) 193
% 79.81/80.02 195. (rinvF T_5 T_6) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) (cd T_6) ### Definition-Pseudo(rinvF) 194
% 79.81/80.02 196. ((rinvF T_5 T_6) /\ (cd T_6)) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### And 195
% 79.81/80.02 197. (Ex Z, ((rinvF T_5 Z) /\ (cd Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### Exists 196
% 79.81/80.02 198. ((Ex Z, ((rinvF T_5 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_5 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_5)))) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_1) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ### ConjTree 197
% 79.81/80.02 199. (cUnsatisfiable T_5) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_1) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) ### Definition-Pseudo(cUnsatisfiable) 198
% 79.81/80.02 200. (((T_1 = T_5) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable T_5)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### DisjTree 62 26 199
% 79.81/80.06 201. (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_5) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All C, (((T_5 = T_1) /\ (rinvF T_5 C)) => (rinvF T_1 C))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 200
% 79.81/80.06 202. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_4 T_5) (All Y, (All Z, (((rf T_4 Y) /\ (rf T_4 Z)) => (Y = Z)))) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### All 201
% 79.81/80.06 203. (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (All Z, (((rf T_2 (i2003_11_14_17_19_35232)) /\ (rf T_2 Z)) => ((i2003_11_14_17_19_35232) = Z))) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 202
% 79.81/80.06 204. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_5 = B) /\ (rinvF T_5 C)) => (rinvF B C)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### All 203
% 79.81/80.06 205. (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All Z, (((rf T_2 T_3) /\ (rf T_2 Z)) => (T_3 = Z))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 204
% 79.81/80.06 206. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_4 T_5) (rf T_4 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_2 T_3) (All Z, (((rf T_2 T_1) /\ (rf T_2 Z)) => (T_1 = Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### All 205
% 79.81/80.06 207. (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_3) (All C, (((T_3 = T_1) /\ (rinvF T_3 C)) => (rinvF T_1 C))) (rf T_4 T_3) (rf T_4 T_5) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 206
% 79.87/80.08 208. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_4 T_5) (rf T_4 T_3) (rf T_2 T_3) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### All 207
% 79.87/80.08 209. ((rf T_4 T_5) /\ (-. (cc T_5))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_3) (rf T_4 T_3) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (cc T_4) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### And 208
% 79.87/80.08 210. (Ex Y, ((rf T_4 Y) /\ (-. (cc Y)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (cc T_4) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_4 T_3) (rf T_2 T_3) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### Exists 209
% 79.87/80.08 211. ((Ex Y, ((rf T_4 Y) /\ (-. (cc Y)))) /\ (cc T_4)) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_3) (rf T_4 T_3) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### And 210
% 79.87/80.08 212. (cd T_4) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_4 T_3) (rf T_2 T_3) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### Definition-Pseudo(cd) 211
% 79.87/80.08 213. (rinvF T_3 T_4) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (cd T_4) ### Definition-Pseudo(rinvF) 212
% 79.87/80.08 214. ((rinvF T_3 T_4) /\ (cd T_4)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### And 213
% 79.87/80.08 215. (Ex Z, ((rinvF T_3 Z) /\ (cd Z))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Exists 214
% 79.87/80.08 216. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) ((Ex Z, ((rinvF T_3 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_3 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_3)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_3) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ### ConjTree 215
% 79.87/80.10 217. (cUnsatisfiable T_3) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 T_3) (rf T_2 (i2003_11_14_17_19_35232)) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(cUnsatisfiable) 216
% 79.87/80.10 218. (((T_1 = T_3) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable T_3)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (rf T_2 (i2003_11_14_17_19_35232)) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 T_3) (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) ### DisjTree 24 26 217
% 79.87/80.10 219. (All Y, (All Z, (((rf T_2 Y) /\ (rf T_2 Z)) => (Y = Z)))) (rf T_2 T_3) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 (i2003_11_14_17_19_35232)) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 218
% 79.87/80.10 220. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All B, (((T_3 = B) /\ (cUnsatisfiable T_3)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (rf T_2 (i2003_11_14_17_19_35232)) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 T_3) ### All 219
% 79.87/80.10 221. (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (rf T_2 T_3) (rf T_2 T_1) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (rf T_2 (i2003_11_14_17_19_35232)) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 220
% 79.87/80.10 222. (rinvF (i2003_11_14_17_19_35232) T_2) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_1) (rf T_2 T_3) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### Definition-Pseudo(rinvF) 221
% 79.87/80.10 223. (((T_1 = (i2003_11_14_17_19_35232)) /\ (rinvF T_1 T_2)) => (rinvF (i2003_11_14_17_19_35232) T_2)) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (rf T_2 T_3) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_2 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### DisjTree 16 18 222
% 79.87/80.10 224. (All C, (((T_1 = (i2003_11_14_17_19_35232)) /\ (rinvF T_1 C)) => (rinvF (i2003_11_14_17_19_35232) C))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_2 T_1) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (All C, (((T_3 = B) /\ (rinvF T_3 C)) => (rinvF B C)))) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (rf T_2 T_3) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### All 223
% 79.87/80.10 225. (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (rf T_2 T_3) ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_2 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All C, (((T_1 = (i2003_11_14_17_19_35232)) /\ (rinvF T_1 C)) => (rinvF (i2003_11_14_17_19_35232) C))) ### All 224
% 79.87/80.10 226. (cUnsatisfiable T_1) (All C, (((T_1 = (i2003_11_14_17_19_35232)) /\ (rinvF T_1 C)) => (rinvF (i2003_11_14_17_19_35232) C))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_2 T_1) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (rf T_2 T_3) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### Definition-Pseudo(cUnsatisfiable) 225
% 79.87/80.10 227. ((((i2003_11_14_17_19_35232) = T_1) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable T_1)) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (rf T_2 T_3) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_2 T_1) (All C, (((T_1 = (i2003_11_14_17_19_35232)) /\ (rinvF T_1 C)) => (rinvF (i2003_11_14_17_19_35232) C))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### DisjTree 7 9 226
% 79.87/80.12 228. (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All C, (((T_1 = (i2003_11_14_17_19_35232)) /\ (rinvF T_1 C)) => (rinvF (i2003_11_14_17_19_35232) C))) (rf T_2 T_1) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (rf T_2 T_3) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### All 227
% 79.87/80.12 229. (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (rf T_2 T_3) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_2 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) ### All 228
% 79.87/80.12 230. ((rf T_2 T_3) /\ (-. (cc T_3))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_2 T_1) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### And 229
% 79.87/80.12 231. (Ex Y, ((rf T_2 Y) /\ (-. (cc Y)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_2 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) ### Exists 230
% 79.87/80.12 232. ((Ex Y, ((rf T_2 Y) /\ (-. (cc Y)))) /\ (cc T_2)) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_2 T_1) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### And 231
% 79.87/80.12 233. (cd T_2) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (rf T_2 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) ### Definition-Pseudo(cd) 232
% 79.87/80.12 234. (rinvF T_1 T_2) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (cd T_2) ### Definition-Pseudo(rinvF) 233
% 79.87/80.12 235. ((rinvF T_1 T_2) /\ (cd T_2)) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) ### And 234
% 79.87/80.12 236. (Ex Z, ((rinvF T_1 Z) /\ (cd Z))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### Exists 235
% 79.87/80.12 237. ((Ex Z, ((rinvF T_1 Z) /\ (cd Z))) /\ ((All Y, ((rinvR T_1 Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc T_1)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) ### ConjTree 236
% 79.87/80.13 238. (cUnsatisfiable T_1) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### Definition-Pseudo(cUnsatisfiable) 237
% 79.87/80.13 239. ((((i2003_11_14_17_19_35232) = T_1) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable T_1)) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### DisjTree 7 9 238
% 79.87/80.13 240. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All B, ((((i2003_11_14_17_19_35232) = B) /\ (cUnsatisfiable (i2003_11_14_17_19_35232))) => (cUnsatisfiable B))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### All 239
% 79.87/80.13 241. (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All B, (((T_1 = B) /\ (cUnsatisfiable T_1)) => (cUnsatisfiable B))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 240
% 79.87/80.13 242. (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) (rf T_0 T_1) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All B, (All C, (((T_1 = B) /\ (rinvF T_1 C)) => (rinvF B C)))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### All 241
% 79.87/80.13 243. (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 T_1) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### All 242
% 79.87/80.13 244. ((rf T_0 T_1) /\ (-. (cc T_1))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### And 243
% 79.87/80.13 245. (Ex Y, ((rf T_0 Y) /\ (-. (cc Y)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Exists 244
% 79.87/80.13 246. ((Ex Y, ((rf T_0 Y) /\ (-. (cc Y)))) /\ (cc T_0)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (rf T_0 (i2003_11_14_17_19_35232)) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### And 245
% 79.87/80.13 247. (cd T_0) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (rf T_0 (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### Definition-Pseudo(cd) 246
% 79.87/80.13 248. (rinvF (i2003_11_14_17_19_35232) T_0) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (cd T_0) ### Definition-Pseudo(rinvF) 247
% 79.87/80.13 249. ((rinvF (i2003_11_14_17_19_35232) T_0) /\ (cd T_0)) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### And 248
% 79.87/80.13 250. (Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### Exists 249
% 79.87/80.13 251. (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) ((Ex Y, ((rinvF (i2003_11_14_17_19_35232) Y) /\ (cd Y))) /\ ((All Y, ((rinvR (i2003_11_14_17_19_35232) Y) => (Ex Z, ((rinvF Y Z) /\ (cd Z))))) /\ (-. (cc (i2003_11_14_17_19_35232))))) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) ### ConjTree 250
% 79.87/80.13 252. (cUnsatisfiable (i2003_11_14_17_19_35232)) (All X, (All Y, (All Z, (((rf X Y) /\ (rf X Z)) => (Y = Z))))) (All X, (All Y, ((rf X Y) => (rr X Y)))) (All A, (All B, (All C, (((A = B) /\ (rinvF A C)) => (rinvF B C))))) (All A, (All B, (((A = B) /\ (cc A)) => (cc B)))) (All A, (All B, (((A = B) /\ (cUnsatisfiable A)) => (cUnsatisfiable B)))) ### Definition-Pseudo(cUnsatisfiable) 251
% 79.87/80.13 % SZS output end Proof
% 79.87/80.13 (* END-PROOF *)
%------------------------------------------------------------------------------