%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SYN966+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 : n007.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 21 12:47:34 EDT 2022 % Result : Theorem 0.18s 0.40s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : SYN966+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 : n007.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 19:27:33 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.40 % SZS status Theorem % 0.18/0.40 (* PROOF-FOUND *) % 0.18/0.40 (* BEGIN-PROOF *) % 0.18/0.40 % SZS output start Proof % 0.18/0.40 1. (eq T_0 T_1) (-. (eq T_0 T_1)) ### Axiom % 0.18/0.40 2. (a_member_of T_2 T_0) (-. (a_member_of T_2 T_0)) ### Axiom % 0.18/0.40 3. (-. (a_member_of T_2 T_1)) (a_member_of T_2 T_1) ### Axiom % 0.18/0.40 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 % 0.18/0.40 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 % 0.18/0.40 6. ((eq 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) (eq T_0 T_1) ### Equiv 1 5 % 0.18/0.40 7. (All Y, ((eq T_0 Y) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z Y))))) (eq T_0 T_1) (a_member_of T_2 T_0) (-. (a_member_of T_2 T_1)) ### All 6 % 0.18/0.40 8. (All X, (All Y, ((eq 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) (eq T_0 T_1) ### All 7 % 0.18/0.40 9. (eq T_0 T_1) (-. (eq T_0 T_1)) ### Axiom % 0.18/0.40 10. (a_member_of T_2 T_1) (-. (a_member_of T_2 T_1)) ### Axiom % 0.18/0.40 11. (-. (a_member_of T_2 T_0)) (a_member_of T_2 T_0) ### Axiom % 0.18/0.40 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 % 0.18/0.40 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 % 0.18/0.40 14. ((eq 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) (eq T_0 T_1) ### Equiv 9 13 % 0.18/0.40 15. (All Y, ((eq T_0 Y) <=> (All Z, ((a_member_of Z T_0) <=> (a_member_of Z Y))))) (eq T_0 T_1) (a_member_of T_2 T_1) (-. (a_member_of T_2 T_0)) ### All 14 % 0.18/0.40 16. (All X, (All Y, ((eq 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) (eq T_0 T_1) ### All 15 % 0.18/0.40 17. (-. ((a_member_of T_2 T_1) <=> (a_member_of T_2 T_0))) (eq T_0 T_1) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotEquiv 8 16 % 0.18/0.40 18. (-. (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0)))) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (eq T_0 T_1) ### NotAllEx 17 % 0.18/0.40 19. (-. (eq T_1 T_0)) (eq T_1 T_0) ### Axiom % 0.18/0.40 20. ((eq T_1 T_0) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z T_0)))) (-. (eq T_1 T_0)) (eq T_0 T_1) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### Equiv 18 19 % 0.18/0.40 21. (All Y, ((eq T_1 Y) <=> (All Z, ((a_member_of Z T_1) <=> (a_member_of Z Y))))) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) (eq T_0 T_1) (-. (eq T_1 T_0)) ### All 20 % 0.18/0.40 22. (-. (eq T_1 T_0)) (eq T_0 T_1) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### All 21 % 0.18/0.40 23. (-. ((eq T_0 T_1) => (eq T_1 T_0))) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotImply 22 % 0.18/0.40 24. (-. (All B, ((eq T_0 B) => (eq B T_0)))) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotAllEx 23 % 0.18/0.40 25. (-. (All A, (All B, ((eq A B) => (eq B A))))) (All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) ### NotAllEx 24 % 0.18/0.40 26. (-. ((All X, (All Y, ((eq X Y) <=> (All Z, ((a_member_of Z X) <=> (a_member_of Z Y)))))) => (All A, (All B, ((eq A B) => (eq B A)))))) ### NotImply 25 % 0.18/0.40 % SZS output end Proof % 0.18/0.40 (* END-PROOF *) %------------------------------------------------------------------------------