%------------------------------------------------------------------------------ % 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 *) %------------------------------------------------------------------------------