%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET690+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 : 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 05:43:24 EDT 2022 % Result : Theorem 0.13s 0.42s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.13 % Problem : SET690+4 : TPTP v8.1.0. Released v2.2.0. % 0.12/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n014.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 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Mon Jul 11 02:36:49 EDT 2022 % 0.13/0.35 % CPUTime : % 0.13/0.42 % SZS status Theorem % 0.13/0.42 (* PROOF-FOUND *) % 0.13/0.42 (* BEGIN-PROOF *) % 0.13/0.42 % SZS output start Proof % 0.13/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.13/0.42 2. (member T_0 T_2) (-. (member T_0 T_2)) ### Axiom % 0.13/0.42 3. (-. (member T_0 (union T_2 T_3))) (member T_0 T_2) ### Extension/test/not_union 2 % 0.13/0.42 4. (-. (member T_0 (intersection T_1 (union T_2 T_3)))) (member T_0 T_2) (member T_0 T_1) ### Extension/test/not_intersection 1 3 % 0.13/0.42 5. (member T_0 (intersection T_1 T_2)) (-. (member T_0 (intersection T_1 (union T_2 T_3)))) ### Extension/test/intersection 4 % 0.13/0.42 6. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom % 0.13/0.42 7. (-. (member T_0 T_1)) (member T_0 T_1) ### Axiom % 0.13/0.42 8. (subset T_3 T_1) (-. (member T_0 T_1)) (member T_0 T_3) ### Extension/test/subset_inst 6 7 % 0.13/0.42 9. (member T_0 T_3) (-. (member T_0 T_3)) ### Axiom % 0.13/0.42 10. (-. (member T_0 (union T_2 T_3))) (member T_0 T_3) ### Extension/test/not_union 9 % 0.13/0.42 11. (-. (member T_0 (intersection T_1 (union T_2 T_3)))) (member T_0 T_3) (subset T_3 T_1) ### Extension/test/not_intersection 8 10 % 0.13/0.42 12. (member T_0 (union (intersection T_1 T_2) T_3)) (subset T_3 T_1) (-. (member T_0 (intersection T_1 (union T_2 T_3)))) ### Extension/test/union 5 11 % 0.13/0.42 13. (-. (subset (union (intersection T_1 T_2) T_3) (intersection T_1 (union T_2 T_3)))) (subset T_3 T_1) ### Extension/test/not_subset 12 % 0.13/0.42 14. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom % 0.13/0.42 15. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom % 0.13/0.42 16. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom % 0.13/0.42 17. (member T_4 (union T_2 T_3)) (-. (member T_4 T_3)) (-. (member T_4 T_2)) ### Extension/test/union 15 16 % 0.13/0.42 18. (-. (member T_4 (intersection T_1 T_2))) (-. (member T_4 T_3)) (member T_4 (union T_2 T_3)) (member T_4 T_1) ### Extension/test/not_intersection 14 17 % 0.13/0.42 19. (-. (member T_4 (union (intersection T_1 T_2) T_3))) (member T_4 T_1) (member T_4 (union T_2 T_3)) ### Extension/test/not_union 18 % 0.13/0.42 20. (member T_4 (intersection T_1 (union T_2 T_3))) (-. (member T_4 (union (intersection T_1 T_2) T_3))) ### Extension/test/intersection 19 % 0.13/0.42 21. (-. (subset (intersection T_1 (union T_2 T_3)) (union (intersection T_1 T_2) T_3))) ### Extension/test/not_subset 20 % 0.13/0.42 22. (-. (equal_set (union (intersection T_1 T_2) T_3) (intersection T_1 (union T_2 T_3)))) (subset T_3 T_1) ### Extension/test/not_equal_set 13 21 % 0.13/0.42 23. (member T_5 T_3) (-. (member T_5 T_3)) ### Axiom % 0.13/0.42 24. (-. (member T_5 (union (intersection T_1 T_2) T_3))) (member T_5 T_3) ### Extension/test/not_union 23 % 0.13/0.42 25. (-. (member T_5 T_1)) (member T_5 T_1) ### Axiom % 0.13/0.42 26. (member T_5 (intersection T_1 (union T_2 T_3))) (-. (member T_5 T_1)) ### Extension/test/intersection 25 % 0.13/0.42 27. (subset (union (intersection T_1 T_2) T_3) (intersection T_1 (union T_2 T_3))) (-. (member T_5 T_1)) (member T_5 T_3) ### Extension/test/subset_inst 24 26 % 0.13/0.42 28. (-. (subset T_3 T_1)) (subset (union (intersection T_1 T_2) T_3) (intersection T_1 (union T_2 T_3))) ### Extension/test/not_subset 27 % 0.13/0.42 29. (equal_set (union (intersection T_1 T_2) T_3) (intersection T_1 (union T_2 T_3))) (-. (subset T_3 T_1)) ### Extension/test/equal_set 28 % 0.13/0.42 30. (-. ((equal_set (union (intersection T_1 T_2) T_3) (intersection T_1 (union T_2 T_3))) <=> (subset T_3 T_1))) ### NotEquiv 22 29 % 0.13/0.42 31. (-. (All C, ((equal_set (union (intersection T_1 T_2) C) (intersection T_1 (union T_2 C))) <=> (subset C T_1)))) ### NotAllEx 30 % 0.13/0.42 32. (-. (All B, (All C, ((equal_set (union (intersection T_1 B) C) (intersection T_1 (union B C))) <=> (subset C T_1))))) ### NotAllEx 31 % 0.13/0.42 33. (-. (All A, (All B, (All C, ((equal_set (union (intersection A B) C) (intersection A (union B C))) <=> (subset C A)))))) ### NotAllEx 32 % 0.13/0.42 % SZS output end Proof % 0.13/0.42 (* END-PROOF *) %------------------------------------------------------------------------------