TSTP Solution File: SET788+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SET788+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 : n014.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 : Tue Jul 19 05:43:59 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET788+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n014.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 06:40:34 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 (* PROOF-FOUND *)
% 0.18/0.41 (* BEGIN-PROOF *)
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 1. (equalish T_0 T_1) (-. (equalish T_0 T_1)) ### Axiom
% 0.18/0.41 2. (a_member_of T_2 T_0) (-. (a_member_of T_2 T_0)) ### Axiom
% 0.18/0.41 3. (-. (a_member_of T_2 T_1)) (a_member_of T_2 T_1) ### Axiom
% 0.18/0.41 4. ((a_member_of T_2 T_0) <=> (a_member_of T_2 T_1)) (-. (a_member_of T_2 T_1)) (a_member_of T_2 T_0) ### Equiv 2 3
% 0.18/0.41 5. (All Z, ((a_member_of Z T_0) <=> (a_member_of Z T_1))) (a_member_of T_2 T_0) (-. (a_member_of T_2 T_1)) ### All 4
% 0.18/0.41 6. ((equalish T_0 T_1) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z T_1)))) (-. (a_member_of T_2 T_1)) (a_member_of T_2 T_0) (equalish T_0 T_1) ### Equiv 1 5
% 0.18/0.41 7. (All Y, ((equalish T_0 Y) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z Y))))) (equalish T_0 T_1) (a_member_of T_2 T_0) (-. (a_member_of T_2 T_1)) ### All 6
% 0.18/0.41 8. (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (-. (a_member_of T_2 T_1)) (a_member_of T_2 T_0) (equalish T_0 T_1) ### All 7
% 0.18/0.41 9. (equalish T_0 T_1) (-. (equalish T_0 T_1)) ### Axiom
% 0.18/0.41 10. (a_member_of T_2 T_1) (-. (a_member_of T_2 T_1)) ### Axiom
% 0.18/0.41 11. (-. (a_member_of T_2 T_0)) (a_member_of T_2 T_0) ### Axiom
% 0.18/0.41 12. ((a_member_of T_2 T_0) <=> (a_member_of T_2 T_1)) (-. (a_member_of T_2 T_0)) (a_member_of T_2 T_1) ### Equiv 10 11
% 0.18/0.41 13. (All Z, ((a_member_of Z T_0) <=> (a_member_of Z T_1))) (a_member_of T_2 T_1) (-. (a_member_of T_2 T_0)) ### All 12
% 0.18/0.41 14. ((equalish T_0 T_1) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z T_1)))) (-. (a_member_of T_2 T_0)) (a_member_of T_2 T_1) (equalish T_0 T_1) ### Equiv 9 13
% 0.18/0.41 15. (All Y, ((equalish T_0 Y) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z Y))))) (equalish T_0 T_1) (a_member_of T_2 T_1) (-. (a_member_of T_2 T_0)) ### All 14
% 0.18/0.41 16. (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (-. (a_member_of T_2 T_0)) (a_member_of T_2 T_1) (equalish T_0 T_1) ### All 15
% 0.18/0.41 17. (-. ((a_member_of T_2 T_1) <=> (a_member_of T_2 T_0))) (equalish T_0 T_1) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotEquiv 8 16
% 0.18/0.41 18. (-. (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0)))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (equalish T_0 T_1) ### NotAllEx 17
% 0.18/0.41 19. (-. (equalish T_1 T_0)) (equalish T_1 T_0) ### Axiom
% 0.18/0.41 20. ((equalish T_1 T_0) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0)))) (-. (equalish T_1 T_0)) (equalish T_0 T_1) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### Equiv 18 19
% 0.18/0.41 21. (All Y, ((equalish T_1 Y) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z Y))))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (equalish T_0 T_1) (-. (equalish T_1 T_0)) ### All 20
% 0.18/0.41 22. (-. (equalish T_1 T_0)) (equalish T_0 T_1) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### All 21
% 0.18/0.41 23. (equalish T_1 T_0) (-. (equalish T_1 T_0)) ### Axiom
% 0.18/0.41 24. (a_member_of T_3 T_1) (-. (a_member_of T_3 T_1)) ### Axiom
% 0.18/0.41 25. (-. (a_member_of T_3 T_0)) (a_member_of T_3 T_0) ### Axiom
% 0.18/0.41 26. ((a_member_of T_3 T_1) <=> (a_member_of T_3 T_0)) (-. (a_member_of T_3 T_0)) (a_member_of T_3 T_1) ### Equiv 24 25
% 0.18/0.41 27. (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0))) (a_member_of T_3 T_1) (-. (a_member_of T_3 T_0)) ### All 26
% 0.18/0.41 28. ((equalish T_1 T_0) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0)))) (-. (a_member_of T_3 T_0)) (a_member_of T_3 T_1) (equalish T_1 T_0) ### Equiv 23 27
% 0.18/0.41 29. (All Y, ((equalish T_1 Y) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z Y))))) (equalish T_1 T_0) (a_member_of T_3 T_1) (-. (a_member_of T_3 T_0)) ### All 28
% 0.18/0.41 30. (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (-. (a_member_of T_3 T_0)) (a_member_of T_3 T_1) (equalish T_1 T_0) ### All 29
% 0.18/0.41 31. (equalish T_1 T_0) (-. (equalish T_1 T_0)) ### Axiom
% 0.18/0.41 32. (a_member_of T_3 T_0) (-. (a_member_of T_3 T_0)) ### Axiom
% 0.18/0.41 33. (-. (a_member_of T_3 T_1)) (a_member_of T_3 T_1) ### Axiom
% 0.18/0.41 34. ((a_member_of T_3 T_1) <=> (a_member_of T_3 T_0)) (-. (a_member_of T_3 T_1)) (a_member_of T_3 T_0) ### Equiv 32 33
% 0.18/0.41 35. (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0))) (a_member_of T_3 T_0) (-. (a_member_of T_3 T_1)) ### All 34
% 0.18/0.41 36. ((equalish T_1 T_0) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0)))) (-. (a_member_of T_3 T_1)) (a_member_of T_3 T_0) (equalish T_1 T_0) ### Equiv 31 35
% 0.18/0.41 37. (All Y, ((equalish T_1 Y) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z Y))))) (equalish T_1 T_0) (a_member_of T_3 T_0) (-. (a_member_of T_3 T_1)) ### All 36
% 0.18/0.41 38. (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (-. (a_member_of T_3 T_1)) (a_member_of T_3 T_0) (equalish T_1 T_0) ### All 37
% 0.18/0.41 39. (-. ((a_member_of T_3 T_0) <=> (a_member_of T_3 T_1))) (equalish T_1 T_0) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotEquiv 30 38
% 0.18/0.41 40. (-. (All Z, ((a_member_of Z T_0) <=> (a_member_of Z T_1)))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (equalish T_1 T_0) ### NotAllEx 39
% 0.18/0.41 41. (-. (equalish T_0 T_1)) (equalish T_0 T_1) ### Axiom
% 0.18/0.41 42. ((equalish T_0 T_1) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z T_1)))) (-. (equalish T_0 T_1)) (equalish T_1 T_0) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### Equiv 40 41
% 0.18/0.41 43. (All Y, ((equalish T_0 Y) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z Y))))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (equalish T_1 T_0) (-. (equalish T_0 T_1)) ### All 42
% 0.18/0.41 44. (-. (equalish T_0 T_1)) (equalish T_1 T_0) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### All 43
% 0.18/0.41 45. (-. ((equalish T_1 T_0) <=> (equalish T_0 T_1))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotEquiv 22 44
% 0.18/0.41 46. (-. (All Y, ((equalish T_1 Y) <=> (equalish Y T_1)))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotAllEx 45
% 0.18/0.41 47. (-. (All X, (All Y, ((equalish X Y) <=> (equalish Y X))))) (All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotAllEx 46
% 0.18/0.41 48. (-. ((All X, (All Y, ((equalish X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) => (All X, (All Y, ((equalish X Y) <=> (equalish Y X)))))) ### NotImply 47
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
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