%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET697+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 : n005.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 05:43:27 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 % 0.06/0.12 % Problem : SET697+4 : TPTP v8.1.0. Released v2.2.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n005.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Mon Jul 11 02:29:37 EDT 2022 % 0.11/0.33 % 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. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.40 2. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.18/0.40 3. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.18/0.40 4. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 2 3 % 0.18/0.40 5. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom % 0.18/0.40 6. (-. (member T_0 (difference T_2 T_3))) (-. (member T_0 T_3)) (member T_0 T_1) (subset T_1 T_2) ### Extension/test/not_difference 4 5 % 0.18/0.40 7. (-. (member T_0 (intersection T_1 (difference T_2 T_3)))) (subset T_1 T_2) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/not_intersection 1 6 % 0.18/0.40 8. (member T_0 (empty_set)) (-. (member T_0 (empty_set))) ### Axiom % 0.18/0.40 9. (All X, (-. (member X (empty_set)))) (member T_0 (empty_set)) ### All 8 % 0.18/0.40 10. (subset (intersection T_1 (difference T_2 T_3)) (empty_set)) (All X, (-. (member X (empty_set)))) (member T_0 T_1) (-. (member T_0 T_3)) (subset T_1 T_2) ### Extension/test/subset_inst 7 9 % 0.18/0.40 11. (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set)) (subset T_1 T_2) (-. (member T_0 T_3)) (member T_0 T_1) (All X, (-. (member X (empty_set)))) ### Extension/test/equal_set 10 % 0.18/0.40 12. (-. (subset T_1 T_3)) (All X, (-. (member X (empty_set)))) (subset T_1 T_2) (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set)) ### Extension/test/not_subset 11 % 0.18/0.40 13. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom % 0.18/0.40 14. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom % 0.18/0.40 15. (subset T_1 T_3) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/subset_inst 13 14 % 0.18/0.40 16. (member T_4 (difference T_2 T_3)) (member T_4 T_1) (subset T_1 T_3) ### Extension/test/difference 15 % 0.18/0.40 17. (member T_4 (intersection T_1 (difference T_2 T_3))) (subset T_1 T_3) ### Extension/test/intersection 16 % 0.18/0.40 18. (-. (subset (intersection T_1 (difference T_2 T_3)) (empty_set))) (subset T_1 T_3) ### Extension/test/not_subset 17 % 0.18/0.40 19. (member T_5 (empty_set)) (-. (member T_5 (empty_set))) ### Axiom % 0.18/0.40 20. (All X, (-. (member X (empty_set)))) (member T_5 (empty_set)) ### All 19 % 0.18/0.40 21. (-. (subset (empty_set) (intersection T_1 (difference T_2 T_3)))) (All X, (-. (member X (empty_set)))) ### Extension/test/not_subset 20 % 0.18/0.40 22. (-. (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set))) (All X, (-. (member X (empty_set)))) (subset T_1 T_3) ### Extension/test/not_equal_set 18 21 % 0.18/0.40 23. (-. ((subset T_1 T_3) <=> (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set)))) (subset T_1 T_2) (All X, (-. (member X (empty_set)))) ### NotEquiv 12 22 % 0.18/0.40 24. (-. (((subset T_1 T_2) /\ (subset T_3 T_2)) => ((subset T_1 T_3) <=> (equal_set (intersection T_1 (difference T_2 T_3)) (empty_set))))) (All X, (-. (member X (empty_set)))) ### ConjTree 23 % 0.18/0.40 25. (-. (All E, (((subset T_1 E) /\ (subset T_3 E)) => ((subset T_1 T_3) <=> (equal_set (intersection T_1 (difference E T_3)) (empty_set)))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 24 % 0.18/0.40 26. (-. (All B, (All E, (((subset T_1 E) /\ (subset B E)) => ((subset T_1 B) <=> (equal_set (intersection T_1 (difference E B)) (empty_set))))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 25 % 0.18/0.40 27. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => ((subset A B) <=> (equal_set (intersection A (difference E B)) (empty_set)))))))) (All X, (-. (member X (empty_set)))) ### NotAllEx 26 % 0.18/0.40 % SZS output end Proof % 0.18/0.40 (* END-PROOF *) %------------------------------------------------------------------------------