%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET698+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 : n008.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 0.13s 0.42s % Output : Proof 0.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET698+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 : n008.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 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sun Jul 10 07:55:23 EDT 2022 % 0.13/0.34 % 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. (subset T_1 T_2) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/subset_inst 1 2 % 0.13/0.42 4. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.13/0.42 5. (member T_0 (difference T_2 T_1)) (member T_0 T_1) ### Extension/test/difference 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 (union (difference T_2 T_1) T_3)) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/union 5 6 % 0.13/0.42 8. (subset T_2 (union (difference T_2 T_1) T_3)) (-. (member T_0 T_3)) (member T_0 T_1) (subset T_1 T_2) ### Extension/test/subset_inst 3 7 % 0.13/0.42 9. (equal_set (union (difference T_2 T_1) T_3) T_2) (subset T_1 T_2) (member T_0 T_1) (-. (member T_0 T_3)) ### Extension/test/equal_set 8 % 0.13/0.42 10. (-. (subset T_1 T_3)) (subset T_1 T_2) (equal_set (union (difference T_2 T_1) T_3) T_2) ### Extension/test/not_subset 9 % 0.13/0.42 11. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom % 0.13/0.42 12. (member T_4 (difference T_2 T_1)) (-. (member T_4 T_2)) ### Extension/test/difference 11 % 0.13/0.42 13. (member T_4 T_3) (-. (member T_4 T_3)) ### Axiom % 0.13/0.42 14. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom % 0.13/0.42 15. (subset T_3 T_2) (-. (member T_4 T_2)) (member T_4 T_3) ### Extension/test/subset_inst 13 14 % 0.13/0.42 16. (member T_4 (union (difference T_2 T_1) T_3)) (subset T_3 T_2) (-. (member T_4 T_2)) ### Extension/test/union 12 15 % 0.13/0.42 17. (-. (subset (union (difference T_2 T_1) T_3) T_2)) (subset T_3 T_2) ### Extension/test/not_subset 16 % 0.13/0.42 18. (member T_5 T_2) (-. (member T_5 T_2)) ### Axiom % 0.13/0.42 19. (member T_5 T_1) (-. (member T_5 T_1)) ### Axiom % 0.13/0.42 20. (-. (member T_5 T_3)) (member T_5 T_3) ### Axiom % 0.13/0.42 21. (subset T_1 T_3) (-. (member T_5 T_3)) (member T_5 T_1) ### Extension/test/subset_inst 19 20 % 0.13/0.42 22. (-. (member T_5 (difference T_2 T_1))) (-. (member T_5 T_3)) (subset T_1 T_3) (member T_5 T_2) ### Extension/test/not_difference 18 21 % 0.13/0.42 23. (-. (member T_5 (union (difference T_2 T_1) T_3))) (member T_5 T_2) (subset T_1 T_3) ### Extension/test/not_union 22 % 0.13/0.42 24. (-. (subset T_2 (union (difference T_2 T_1) T_3))) (subset T_1 T_3) ### Extension/test/not_subset 23 % 0.13/0.42 25. (-. (equal_set (union (difference T_2 T_1) T_3) T_2)) (subset T_1 T_3) (subset T_3 T_2) ### Extension/test/not_equal_set 17 24 % 0.13/0.42 26. (-. ((subset T_1 T_3) <=> (equal_set (union (difference T_2 T_1) T_3) T_2))) (subset T_3 T_2) (subset T_1 T_2) ### NotEquiv 10 25 % 0.13/0.42 27. (-. (((subset T_1 T_2) /\ (subset T_3 T_2)) => ((subset T_1 T_3) <=> (equal_set (union (difference T_2 T_1) T_3) T_2)))) ### ConjTree 26 % 0.13/0.42 28. (-. (All E, (((subset T_1 E) /\ (subset T_3 E)) => ((subset T_1 T_3) <=> (equal_set (union (difference E T_1) T_3) E))))) ### NotAllEx 27 % 0.13/0.42 29. (-. (All B, (All E, (((subset T_1 E) /\ (subset B E)) => ((subset T_1 B) <=> (equal_set (union (difference E T_1) B) E)))))) ### NotAllEx 28 % 0.13/0.42 30. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => ((subset A B) <=> (equal_set (union (difference E A) B) E))))))) ### NotAllEx 29 % 0.13/0.42 % SZS output end Proof % 0.13/0.42 (* END-PROOF *) %------------------------------------------------------------------------------