TSTP Solution File: PUZ005+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n019.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 : Mon Jul 18 18:27:46 EDT 2022
% Result : Theorem 53.59s 53.87s
% Output : Proof 53.59s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PUZ005+1 : TPTP v8.1.0. Released v2.2.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat May 28 22:06:41 EDT 2022
% 0.13/0.35 % CPUTime :
% 53.59/53.87 % SZS status Theorem
% 53.59/53.87 (* PROOF-FOUND *)
% 53.59/53.87 (* BEGIN-PROOF *)
% 53.59/53.87 % SZS output start Proof
% 53.59/53.87 1. (thursday (a_thursday)) (-. (thursday (a_thursday))) ### Axiom
% 53.59/53.87 2. (-. (unicorn_lies (a_thursday))) (unicorn_lies (a_thursday)) ### Axiom
% 53.59/53.87 3. ((thursday (a_thursday)) => (unicorn_lies (a_thursday))) (-. (unicorn_lies (a_thursday))) (thursday (a_thursday)) ### Imply 1 2
% 53.59/53.87 4. (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (-. (unicorn_lies (a_thursday))) ### All 3
% 53.59/53.87 5. (-. (day (a_thursday))) (day (a_thursday)) ### Axiom
% 53.59/53.87 6. ((unicorn_lies (a_thursday)) => (day (a_thursday))) (-. (day (a_thursday))) (thursday (a_thursday)) (All X, ((thursday X) => (unicorn_lies X))) ### Imply 4 5
% 53.59/53.87 7. (All X, ((unicorn_lies X) => (day X))) (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (-. (day (a_thursday))) ### All 6
% 53.59/53.87 8. (friday (a_friday)) (-. (friday (a_friday))) ### Axiom
% 53.59/53.87 9. (-. (thursday (yesterday (a_friday)))) (thursday (yesterday (a_friday))) ### Axiom
% 53.59/53.87 10. ((friday (a_friday)) => (thursday (yesterday (a_friday)))) (-. (thursday (yesterday (a_friday)))) (friday (a_friday)) ### Imply 8 9
% 53.59/53.87 11. (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (thursday (yesterday (a_friday)))) ### All 10
% 53.59/53.87 12. (unicorn_lies (yesterday (a_friday))) (-. (unicorn_lies (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 13. (-. (day (yesterday (a_friday)))) (day (yesterday (a_friday))) ### Axiom
% 53.59/53.87 14. ((unicorn_lies (yesterday (a_friday))) => (day (yesterday (a_friday)))) (-. (day (yesterday (a_friday)))) (unicorn_lies (yesterday (a_friday))) ### Imply 12 13
% 53.59/53.87 15. (All X, ((unicorn_lies X) => (day X))) (unicorn_lies (yesterday (a_friday))) (-. (day (yesterday (a_friday)))) ### All 14
% 53.59/53.87 16. (day (yesterday (a_friday))) (-. (day (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 17. (saturday (a_saturday)) (-. (saturday (a_saturday))) ### Axiom
% 53.59/53.87 18. (-. (friday (yesterday (a_saturday)))) (friday (yesterday (a_saturday))) ### Axiom
% 53.59/53.87 19. ((saturday (a_saturday)) => (friday (yesterday (a_saturday)))) (-. (friday (yesterday (a_saturday)))) (saturday (a_saturday)) ### Imply 17 18
% 53.59/53.87 20. (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (-. (friday (yesterday (a_saturday)))) ### All 19
% 53.59/53.87 21. (-. (thursday (yesterday (yesterday (a_saturday))))) (thursday (yesterday (yesterday (a_saturday)))) ### Axiom
% 53.59/53.87 22. ((friday (yesterday (a_saturday))) => (thursday (yesterday (yesterday (a_saturday))))) (-. (thursday (yesterday (yesterday (a_saturday))))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) ### Imply 20 21
% 53.59/53.87 23. (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (-. (thursday (yesterday (yesterday (a_saturday))))) ### All 22
% 53.59/53.87 24. (day (yesterday (yesterday (a_saturday)))) (-. (day (yesterday (yesterday (a_saturday))))) ### Axiom
% 53.59/53.87 25. (day (yesterday (yesterday (a_saturday)))) (-. (day (yesterday (yesterday (a_saturday))))) ### Axiom
% 53.59/53.87 26. (wednesday (a_wednesday)) (-. (wednesday (a_wednesday))) ### Axiom
% 53.59/53.87 27. (-. (lion_lies (a_wednesday))) (lion_lies (a_wednesday)) ### Axiom
% 53.59/53.87 28. ((wednesday (a_wednesday)) => (lion_lies (a_wednesday))) (-. (lion_lies (a_wednesday))) (wednesday (a_wednesday)) ### Imply 26 27
% 53.59/53.87 29. (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (-. (lion_lies (a_wednesday))) ### All 28
% 53.59/53.87 30. (-. (day (a_wednesday))) (day (a_wednesday)) ### Axiom
% 53.59/53.87 31. ((lion_lies (a_wednesday)) => (day (a_wednesday))) (-. (day (a_wednesday))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) ### Imply 29 30
% 53.59/53.87 32. (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (-. (day (a_wednesday))) ### All 31
% 53.59/53.87 33. (-. (lion_lies (yesterday (yesterday (a_saturday))))) (lion_lies (yesterday (yesterday (a_saturday)))) ### Axiom
% 53.59/53.87 34. (-. (lion_lies (yesterday (yesterday (a_saturday))))) (lion_lies (yesterday (yesterday (a_saturday)))) ### Axiom
% 53.59/53.87 35. (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) (a_wednesday))) (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) (a_wednesday)) ### Axiom
% 53.59/53.87 36. ((day (a_wednesday)) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) (a_wednesday)))) => (-. (lion_lies (a_wednesday))))) (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) (a_wednesday))) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) ### DisjTree 32 34 35 29
% 53.59/53.87 37. (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y))) => (-. (lion_lies Y))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) (a_wednesday))) ### All 36
% 53.59/53.87 38. (friday (a_friday)) (-. (friday (a_friday))) ### Axiom
% 53.59/53.87 39. (-. (wednesday (yesterday (yesterday (a_friday))))) (wednesday (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 40. ((thursday (yesterday (a_friday))) => (wednesday (yesterday (yesterday (a_friday))))) (-. (wednesday (yesterday (yesterday (a_friday))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) ### Imply 11 39
% 53.59/53.87 41. (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (wednesday (yesterday (yesterday (a_friday))))) ### All 40
% 53.59/53.87 42. (day (yesterday (yesterday (a_friday)))) (-. (day (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 43. (thursday (yesterday (a_friday))) (-. (thursday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 44. (wednesday (yesterday (yesterday (a_friday)))) (-. (wednesday (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 45. (-. (lion_lies (yesterday (yesterday (a_friday))))) (lion_lies (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 46. ((wednesday (yesterday (yesterday (a_friday)))) => (lion_lies (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (yesterday (a_friday))))) (wednesday (yesterday (yesterday (a_friday)))) ### Imply 44 45
% 53.59/53.87 47. (All X, ((wednesday X) => (lion_lies X))) (wednesday (yesterday (yesterday (a_friday)))) (-. (lion_lies (yesterday (yesterday (a_friday))))) ### All 46
% 53.59/53.87 48. ((thursday (yesterday (a_friday))) => (wednesday (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (yesterday (a_friday))))) (All X, ((wednesday X) => (lion_lies X))) (thursday (yesterday (a_friday))) ### Imply 43 47
% 53.59/53.87 49. (All X, ((thursday X) => (wednesday (yesterday X)))) (thursday (yesterday (a_friday))) (All X, ((wednesday X) => (lion_lies X))) (-. (lion_lies (yesterday (yesterday (a_friday))))) ### All 48
% 53.59/53.87 50. (day (yesterday (yesterday (a_friday)))) (-. (day (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 51. (-. (day (yesterday (yesterday (a_friday))))) (day (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 52. ((wednesday (yesterday (yesterday (a_friday)))) => (day (yesterday (yesterday (a_friday))))) (-. (day (yesterday (yesterday (a_friday))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) ### Imply 41 51
% 53.59/53.87 53. (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (day (yesterday (yesterday (a_friday))))) ### All 52
% 53.59/53.87 54. (-. (lion_lies (yesterday (a_friday)))) (lion_lies (yesterday (a_friday))) ### Axiom
% 53.59/53.87 55. (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 56. (lion_lies (yesterday (yesterday (a_friday)))) (-. (lion_lies (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 57. ((day (yesterday (yesterday (a_friday)))) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))))) => (-. (lion_lies (yesterday (yesterday (a_friday))))))) (lion_lies (yesterday (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (day X))) ### DisjTree 53 54 55 56
% 53.59/53.87 58. (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lion_lies (yesterday (yesterday (a_friday)))) ### All 57
% 53.59/53.87 59. (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday))) (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday)) ### Axiom
% 53.59/53.87 60. (lion_lies (a_wednesday)) (-. (lion_lies (a_wednesday))) ### Axiom
% 53.59/53.87 61. ((day (a_wednesday)) => (((-. (lion_lies (yesterday (yesterday (a_friday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday)))) => (-. (lion_lies (a_wednesday))))) (lion_lies (a_wednesday)) (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) ### DisjTree 32 58 59 60
% 53.59/53.87 62. (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_friday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) Y))) => (-. (lion_lies Y))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday))) (lion_lies (a_wednesday)) ### All 61
% 53.59/53.87 63. ((day (yesterday (yesterday (a_friday)))) => (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_friday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) Y))) => (-. (lion_lies Y)))))) (lion_lies (a_wednesday)) (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (day (yesterday (yesterday (a_friday)))) ### Imply 50 62
% 53.59/53.87 64. (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (day (yesterday (yesterday (a_friday)))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday))) (lion_lies (a_wednesday)) ### All 63
% 53.59/53.87 65. (lion_lies (a_wednesday)) (-. (lion_lies (a_wednesday))) ### Axiom
% 53.59/53.87 66. ((day (a_wednesday)) => (((lion_lies (yesterday (yesterday (a_friday)))) /\ (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) (a_wednesday))) => (-. (lion_lies (a_wednesday))))) (lion_lies (a_wednesday)) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (day (yesterday (yesterday (a_friday)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (thursday (yesterday (a_friday))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) ### DisjTree 32 49 64 65
% 53.59/53.87 67. (All Y, ((day Y) => (((lion_lies (yesterday (yesterday (a_friday)))) /\ (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) Y)) => (-. (lion_lies Y))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (thursday (yesterday (a_friday))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (day (yesterday (yesterday (a_friday)))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lion_lies (a_wednesday)) ### All 66
% 53.59/53.87 68. ((day (yesterday (yesterday (a_friday)))) => (All Y, ((day Y) => (((lion_lies (yesterday (yesterday (a_friday)))) /\ (lies_on_one_of (a_lion) (yesterday (yesterday (a_friday))) Y)) => (-. (lion_lies Y)))))) (lion_lies (a_wednesday)) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (thursday (yesterday (a_friday))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (day (yesterday (yesterday (a_friday)))) ### Imply 42 67
% 53.59/53.87 69. (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (day (yesterday (yesterday (a_friday)))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (thursday (yesterday (a_friday))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lion_lies (a_wednesday)) ### All 68
% 53.59/53.87 70. ((wednesday (yesterday (yesterday (a_friday)))) => (day (yesterday (yesterday (a_friday))))) (lion_lies (a_wednesday)) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (thursday (yesterday (a_friday))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) ### Imply 41 69
% 53.59/53.87 71. (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (thursday (yesterday (a_friday))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lion_lies (a_wednesday)) ### All 70
% 53.59/53.87 72. ((friday (a_friday)) => (thursday (yesterday (a_friday)))) (lion_lies (a_wednesday)) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) ### Imply 38 71
% 53.59/53.87 73. (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lion_lies (a_wednesday)) ### All 72
% 53.59/53.87 74. ((day (a_wednesday)) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) (a_wednesday))) => (lion_lies (a_wednesday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y))) => (-. (lion_lies Y))))) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) ### DisjTree 32 33 37 73
% 53.59/53.87 75. (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y)) => (lion_lies Y)))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y))) => (-. (lion_lies Y))))) (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 74
% 53.59/53.87 76. ((day (yesterday (yesterday (a_saturday)))) => (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y)) => (lion_lies Y))))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y))) => (-. (lion_lies Y))))) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (day (yesterday (yesterday (a_saturday)))) ### Imply 25 75
% 53.59/53.87 77. (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (day (yesterday (yesterday (a_saturday)))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y))) => (-. (lion_lies Y))))) (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 76
% 53.59/53.87 78. ((day (yesterday (yesterday (a_saturday)))) => (All Y, ((day Y) => (((-. (lion_lies (yesterday (yesterday (a_saturday))))) /\ (-. (lies_on_one_of (a_lion) (yesterday (yesterday (a_saturday))) Y))) => (-. (lion_lies Y)))))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (day (yesterday (yesterday (a_saturday)))) ### Imply 24 77
% 53.59/53.87 79. (day (yesterday (yesterday (a_saturday)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (-. (lion_lies (yesterday (yesterday (a_saturday))))) (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 78
% 53.59/53.87 80. ((thursday (yesterday (yesterday (a_saturday)))) => (-. (lion_lies (yesterday (yesterday (a_saturday)))))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (day (yesterday (yesterday (a_saturday)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) ### Imply 23 79
% 53.59/53.87 81. (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (day (yesterday (yesterday (a_saturday)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 80
% 53.59/53.87 82. ((thursday (yesterday (yesterday (a_saturday)))) => (day (yesterday (yesterday (a_saturday))))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) ### Imply 23 81
% 53.59/53.87 83. (All X, ((thursday X) => (day X))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 82
% 53.59/53.87 84. ((day (yesterday (a_friday))) => (All Y, ((day Y) => (((-. (lion_lies (yesterday (a_friday)))) /\ (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) Y))) => (-. (lion_lies Y)))))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (lion_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (friday (a_friday)) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (day X))) (day (yesterday (a_friday))) ### Imply 16 83
% 53.59/53.87 85. (day (yesterday (a_friday))) (All X, ((thursday X) => (day X))) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (friday (a_friday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (-. (lion_lies (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 84
% 53.59/53.87 86. ((thursday (yesterday (a_friday))) => (-. (lion_lies (yesterday (a_friday))))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (day (yesterday (a_friday))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) ### Imply 11 85
% 53.59/53.87 87. (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (day (yesterday (a_friday))) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 86
% 53.59/53.87 88. ((thursday (yesterday (a_friday))) => (day (yesterday (a_friday)))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) ### Imply 11 87
% 53.59/53.87 89. (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (-. (lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 88
% 53.59/53.87 90. (thursday (a_thursday)) (-. (thursday (a_thursday))) ### Axiom
% 53.59/53.87 91. (unicorn_lies (yesterday (a_friday))) (-. (unicorn_lies (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 92. (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 93. (-. (unicorn_lies (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 94. ((day (yesterday (yesterday (a_friday)))) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))))) => (unicorn_lies (yesterday (yesterday (a_friday)))))) (-. (unicorn_lies (yesterday (yesterday (a_friday))))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (a_friday))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (day X))) ### DisjTree 53 91 92 93
% 53.59/53.87 95. (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (unicorn_lies (yesterday (a_friday))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (unicorn_lies (yesterday (yesterday (a_friday))))) ### All 94
% 53.59/53.87 96. (day (yesterday (yesterday (a_friday)))) (-. (day (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 97. (unicorn_lies (a_thursday)) (-. (unicorn_lies (a_thursday))) ### Axiom
% 53.59/53.87 98. (day (yesterday (yesterday (a_friday)))) (-. (day (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 99. (unicorn_lies (a_thursday)) (-. (unicorn_lies (a_thursday))) ### Axiom
% 53.59/53.87 100. (-. (lies_on_one_of (a_unicorn) (a_thursday) (yesterday (yesterday (a_friday))))) (lies_on_one_of (a_unicorn) (a_thursday) (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 101. (unicorn_lies (yesterday (yesterday (a_friday)))) (-. (unicorn_lies (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 102. ((wednesday (yesterday (yesterday (a_friday)))) => (-. (unicorn_lies (yesterday (yesterday (a_friday)))))) (unicorn_lies (yesterday (yesterday (a_friday)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) ### Imply 41 101
% 53.59/53.87 103. (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (unicorn_lies (yesterday (yesterday (a_friday)))) ### All 102
% 53.59/53.87 104. ((day (yesterday (yesterday (a_friday)))) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) (yesterday (yesterday (a_friday)))))) => (unicorn_lies (yesterday (yesterday (a_friday)))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (-. (lies_on_one_of (a_unicorn) (a_thursday) (yesterday (yesterday (a_friday))))) (unicorn_lies (a_thursday)) (day (yesterday (yesterday (a_friday)))) ### DisjTree 98 99 100 103
% 53.59/53.87 105. (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (day (yesterday (yesterday (a_friday)))) (unicorn_lies (a_thursday)) (-. (lies_on_one_of (a_unicorn) (a_thursday) (yesterday (yesterday (a_friday))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) ### All 104
% 53.59/53.87 106. (day (yesterday (yesterday (a_friday)))) (-. (day (yesterday (yesterday (a_friday))))) ### Axiom
% 53.59/53.87 107. (unicorn_lies (yesterday (a_friday))) (-. (unicorn_lies (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 108. (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 109. (-. (unicorn_lies (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (yesterday (a_friday)))) ### Axiom
% 53.59/53.87 110. ((day (yesterday (yesterday (a_friday)))) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))))) => (unicorn_lies (yesterday (yesterday (a_friday)))))) (-. (unicorn_lies (yesterday (yesterday (a_friday))))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (a_friday))) (day (yesterday (yesterday (a_friday)))) ### DisjTree 106 107 108 109
% 53.59/53.87 111. (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (day (yesterday (yesterday (a_friday)))) (unicorn_lies (yesterday (a_friday))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (-. (unicorn_lies (yesterday (yesterday (a_friday))))) ### All 110
% 53.59/53.87 112. ((day (yesterday (yesterday (a_friday)))) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) (yesterday (yesterday (a_friday))))) => (-. (unicorn_lies (yesterday (yesterday (a_friday))))))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (a_friday))) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (unicorn_lies (a_thursday)) (day (yesterday (yesterday (a_friday)))) ### DisjTree 96 97 105 111
% 53.59/53.87 113. (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (day (yesterday (yesterday (a_friday)))) (unicorn_lies (a_thursday)) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (unicorn_lies (yesterday (a_friday))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) ### All 112
% 53.59/53.87 114. ((unicorn_lies (yesterday (yesterday (a_friday)))) => (day (yesterday (yesterday (a_friday))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (unicorn_lies (a_thursday)) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (a_friday))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) ### Imply 95 113
% 53.59/53.87 115. (All X, ((unicorn_lies X) => (day X))) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (unicorn_lies (yesterday (a_friday))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (unicorn_lies (a_thursday)) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### All 114
% 53.59/53.87 116. ((thursday (a_thursday)) => (unicorn_lies (a_thursday))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (unicorn_lies (yesterday (a_friday))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (All X, ((unicorn_lies X) => (day X))) (thursday (a_thursday)) ### Imply 90 115
% 53.59/53.87 117. (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (All X, ((unicorn_lies X) => (day X))) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (unicorn_lies (yesterday (a_friday))) (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### All 116
% 53.59/53.87 118. (-. ((day (yesterday (a_friday))) /\ ((lies_on_one_of (a_lion) (yesterday (a_friday)) (yesterday (yesterday (a_friday)))) /\ (lies_on_one_of (a_unicorn) (yesterday (a_friday)) (yesterday (yesterday (a_friday))))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (thursday (a_thursday)) (All X, ((thursday X) => (unicorn_lies X))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (unicorn_lies (yesterday (a_friday))) (All X, ((unicorn_lies X) => (day X))) ### DisjTree 15 89 117
% 53.59/53.87 119. (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((unicorn_lies X) => (day X))) (unicorn_lies (yesterday (a_friday))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### NotExists 118
% 53.59/53.87 120. ((day (yesterday (a_friday))) => (All Y, ((day Y) => (((unicorn_lies (yesterday (a_friday))) /\ (-. (lies_on_one_of (a_unicorn) (yesterday (a_friday)) Y))) => (unicorn_lies Y))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (thursday (a_thursday)) (All X, ((thursday X) => (unicorn_lies X))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (unicorn_lies (yesterday (a_friday))) (All X, ((unicorn_lies X) => (day X))) ### Imply 15 119
% 53.59/53.87 121. (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (All X, ((unicorn_lies X) => (day X))) (unicorn_lies (yesterday (a_friday))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### All 120
% 53.59/53.87 122. ((thursday (yesterday (a_friday))) => (unicorn_lies (yesterday (a_friday)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (thursday (a_thursday)) (All X, ((thursday X) => (unicorn_lies X))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((unicorn_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) ### Imply 11 121
% 53.59/53.87 123. (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (All X, ((unicorn_lies X) => (day X))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y)))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### All 122
% 53.59/53.87 124. ((day (a_thursday)) => (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (-. (lies_on_one_of (a_unicorn) (a_thursday) Y))) => (unicorn_lies Y))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (thursday (a_thursday)) (All X, ((thursday X) => (unicorn_lies X))) (All X, ((unicorn_lies X) => (day X))) ### Imply 7 123
% 53.59/53.88 125. (All X, ((unicorn_lies X) => (day X))) (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### All 124
% 53.59/53.88 126. ((day (a_thursday)) => (All Y, ((day Y) => (((unicorn_lies (a_thursday)) /\ (lies_on_one_of (a_unicorn) (a_thursday) Y)) => (-. (unicorn_lies Y)))))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) (All X, ((wednesday X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((thursday X) => (wednesday (yesterday X)))) (wednesday (a_wednesday)) (All X, ((wednesday X) => (lion_lies X))) (All X, ((lion_lies X) => (day X))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((thursday X) => (-. (lion_lies X)))) (saturday (a_saturday)) (All X, ((saturday X) => (friday (yesterday X)))) (All X, ((thursday X) => (day X))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (friday (a_friday)) (All X, ((friday X) => (thursday (yesterday X)))) (thursday (a_thursday)) (All X, ((thursday X) => (unicorn_lies X))) (All X, ((unicorn_lies X) => (day X))) ### Imply 7 125
% 53.59/53.88 127. (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (lies_on_one_of (a_unicorn) X Y)) => (-. (unicorn_lies Y))))))) (All X, ((unicorn_lies X) => (day X))) (All X, ((thursday X) => (unicorn_lies X))) (thursday (a_thursday)) (All X, ((friday X) => (thursday (yesterday X)))) (friday (a_friday)) (All X, ((day X) => (All Y, ((day Y) => (((unicorn_lies X) /\ (-. (lies_on_one_of (a_unicorn) X Y))) => (unicorn_lies Y)))))) (-. (Ex X, ((day X) /\ ((lies_on_one_of (a_lion) X (yesterday X)) /\ (lies_on_one_of (a_unicorn) X (yesterday X)))))) (All X, ((thursday X) => (day X))) (All X, ((saturday X) => (friday (yesterday X)))) (saturday (a_saturday)) (All X, ((thursday X) => (-. (lion_lies X)))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (lies_on_one_of (a_lion) X Y)) => (lion_lies Y)))))) (All X, ((lion_lies X) => (day X))) (All X, ((wednesday X) => (lion_lies X))) (wednesday (a_wednesday)) (All X, ((thursday X) => (wednesday (yesterday X)))) (All X, ((day X) => (All Y, ((day Y) => (((lion_lies X) /\ (lies_on_one_of (a_lion) X Y)) => (-. (lion_lies Y))))))) (All X, ((day X) => (All Y, ((day Y) => (((-. (lion_lies X)) /\ (-. (lies_on_one_of (a_lion) X Y))) => (-. (lion_lies Y))))))) (All X, ((wednesday X) => (day X))) (All X, ((wednesday X) => (-. (unicorn_lies X)))) ### All 126
% 53.59/53.88 % SZS output end Proof
% 53.59/53.88 (* END-PROOF *)
%------------------------------------------------------------------------------