%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET372+4 : 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 : n022.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 05:41:16 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 % 0.03/0.12 % Problem : SET372+4 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n022.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 : Sat Jul 9 19:07:40 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. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.41 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.18/0.41 3. (member T_0 (intersection T_2 T_3)) (-. (member T_0 T_2)) ### Extension/test/intersection 2 % 0.18/0.41 4. (subset T_1 (intersection T_2 T_3)) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 1 3 % 0.18/0.41 5. (-. (subset T_1 T_2)) (subset T_1 (intersection T_2 T_3)) ### Extension/test/not_subset 4 % 0.18/0.41 6. (-. (member T_1 (power_set T_2))) (subset T_1 (intersection T_2 T_3)) ### Extension/test/not_power_set 5 % 0.18/0.41 7. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom % 0.18/0.41 8. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom % 0.18/0.41 9. (member T_4 (intersection T_2 T_3)) (-. (member T_4 T_3)) ### Extension/test/intersection 8 % 0.18/0.41 10. (subset T_1 (intersection T_2 T_3)) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/subset_inst 7 9 % 0.18/0.41 11. (-. (subset T_1 T_3)) (subset T_1 (intersection T_2 T_3)) ### Extension/test/not_subset 10 % 0.18/0.41 12. (-. (member T_1 (power_set T_3))) (subset T_1 (intersection T_2 T_3)) ### Extension/test/not_power_set 11 % 0.18/0.41 13. (-. (member T_1 (intersection (power_set T_2) (power_set T_3)))) (subset T_1 (intersection T_2 T_3)) ### Extension/test/not_intersection 6 12 % 0.18/0.41 14. (member T_1 (power_set (intersection T_2 T_3))) (-. (member T_1 (intersection (power_set T_2) (power_set T_3)))) ### Extension/test/power_set 13 % 0.18/0.41 15. (-. (subset (power_set (intersection T_2 T_3)) (intersection (power_set T_2) (power_set T_3)))) ### Extension/test/not_subset 14 % 0.18/0.41 16. (member T_5 T_6) (-. (member T_5 T_6)) ### Axiom % 0.18/0.41 17. (-. (member T_5 T_2)) (member T_5 T_2) ### Axiom % 0.18/0.41 18. (subset T_6 T_2) (-. (member T_5 T_2)) (member T_5 T_6) ### Extension/test/subset_inst 16 17 % 0.18/0.41 19. (member T_5 T_6) (-. (member T_5 T_6)) ### Axiom % 0.18/0.41 20. (-. (member T_5 T_3)) (member T_5 T_3) ### Axiom % 0.18/0.41 21. (subset T_6 T_3) (-. (member T_5 T_3)) (member T_5 T_6) ### Extension/test/subset_inst 19 20 % 0.18/0.41 22. (-. (member T_5 (intersection T_2 T_3))) (subset T_6 T_3) (member T_5 T_6) (subset T_6 T_2) ### Extension/test/not_intersection 18 21 % 0.18/0.41 23. (-. (subset T_6 (intersection T_2 T_3))) (subset T_6 T_2) (subset T_6 T_3) ### Extension/test/not_subset 22 % 0.18/0.41 24. (-. (member T_6 (power_set (intersection T_2 T_3)))) (subset T_6 T_3) (subset T_6 T_2) ### Extension/test/not_power_set 23 % 0.18/0.41 25. (member T_6 (power_set T_2)) (subset T_6 T_3) (-. (member T_6 (power_set (intersection T_2 T_3)))) ### Extension/test/power_set 24 % 0.18/0.41 26. (member T_6 (power_set T_3)) (-. (member T_6 (power_set (intersection T_2 T_3)))) (member T_6 (power_set T_2)) ### Extension/test/power_set 25 % 0.18/0.41 27. (member T_6 (intersection (power_set T_2) (power_set T_3))) (-. (member T_6 (power_set (intersection T_2 T_3)))) ### Extension/test/intersection 26 % 0.18/0.41 28. (-. (subset (intersection (power_set T_2) (power_set T_3)) (power_set (intersection T_2 T_3)))) ### Extension/test/not_subset 27 % 0.18/0.41 29. (-. (equal_set (power_set (intersection T_2 T_3)) (intersection (power_set T_2) (power_set T_3)))) ### Extension/test/not_equal_set 15 28 % 0.18/0.41 30. (-. (All B, (equal_set (power_set (intersection T_2 B)) (intersection (power_set T_2) (power_set B))))) ### NotAllEx 29 % 0.18/0.41 31. (-. (All A, (All B, (equal_set (power_set (intersection A B)) (intersection (power_set A) (power_set B)))))) ### NotAllEx 30 % 0.18/0.41 % SZS output end Proof % 0.18/0.41 (* END-PROOF *) %------------------------------------------------------------------------------