%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET155+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 : n027.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 05:39:56 EDT 2022 % Result : Theorem 0.20s 0.42s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SET155+4 : TPTP v8.1.0. Released v2.2.0. % 0.13/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.35 % Computer : n027.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % 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 04:52:18 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.42 % SZS status Theorem % 0.20/0.42 (* PROOF-FOUND *) % 0.20/0.42 (* BEGIN-PROOF *) % 0.20/0.42 % SZS output start Proof % 0.20/0.42 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.20/0.42 2. (-. (member T_0 T_2)) (member T_0 T_2) ### Axiom % 0.20/0.42 3. (-. (member T_0 (difference T_1 T_2))) (-. (member T_0 T_2)) (member T_0 T_1) ### Extension/test/not_difference 1 2 % 0.20/0.42 4. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 0.20/0.42 5. (-. (member T_0 T_3)) (member T_0 T_3) ### Axiom % 0.20/0.42 6. (-. (member T_0 (difference T_1 T_3))) (-. (member T_0 T_3)) (member T_0 T_1) ### Extension/test/not_difference 4 5 % 0.20/0.42 7. (-. (member T_0 (intersection (difference T_1 T_2) (difference T_1 T_3)))) (-. (member T_0 T_3)) (member T_0 T_1) (-. (member T_0 T_2)) ### Extension/test/not_intersection 3 6 % 0.20/0.42 8. (-. (member T_0 (union T_2 T_3))) (member T_0 T_1) (-. (member T_0 (intersection (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/not_union 7 % 0.20/0.42 9. (member T_0 (difference T_1 (union T_2 T_3))) (-. (member T_0 (intersection (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/difference 8 % 0.20/0.42 10. (-. (subset (difference T_1 (union T_2 T_3)) (intersection (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/not_subset 9 % 0.20/0.42 11. (member T_4 T_1) (-. (member T_4 T_1)) ### Axiom % 0.20/0.42 12. (-. (member T_4 T_2)) (member T_4 T_2) ### Axiom % 0.20/0.42 13. (-. (member T_4 T_3)) (member T_4 T_3) ### Axiom % 0.20/0.42 14. (member T_4 (union T_2 T_3)) (-. (member T_4 T_3)) (-. (member T_4 T_2)) ### Extension/test/union 12 13 % 0.20/0.42 15. (-. (member T_4 (difference T_1 (union T_2 T_3)))) (-. (member T_4 T_2)) (-. (member T_4 T_3)) (member T_4 T_1) ### Extension/test/not_difference 11 14 % 0.20/0.42 16. (member T_4 (difference T_1 T_2)) (member T_4 T_1) (-. (member T_4 T_3)) (-. (member T_4 (difference T_1 (union T_2 T_3)))) ### Extension/test/difference 15 % 0.20/0.42 17. (member T_4 (difference T_1 T_3)) (-. (member T_4 (difference T_1 (union T_2 T_3)))) (member T_4 (difference T_1 T_2)) ### Extension/test/difference 16 % 0.20/0.42 18. (member T_4 (intersection (difference T_1 T_2) (difference T_1 T_3))) (-. (member T_4 (difference T_1 (union T_2 T_3)))) ### Extension/test/intersection 17 % 0.20/0.42 19. (-. (subset (intersection (difference T_1 T_2) (difference T_1 T_3)) (difference T_1 (union T_2 T_3)))) ### Extension/test/not_subset 18 % 0.20/0.42 20. (-. (equal_set (difference T_1 (union T_2 T_3)) (intersection (difference T_1 T_2) (difference T_1 T_3)))) ### Extension/test/not_equal_set 10 19 % 0.20/0.42 21. (-. (((subset T_2 T_1) /\ (subset T_3 T_1)) => (equal_set (difference T_1 (union T_2 T_3)) (intersection (difference T_1 T_2) (difference T_1 T_3))))) ### ConjTree 20 % 0.20/0.42 22. (-. (All E, (((subset T_2 E) /\ (subset T_3 E)) => (equal_set (difference E (union T_2 T_3)) (intersection (difference E T_2) (difference E T_3)))))) ### NotAllEx 21 % 0.20/0.42 23. (-. (All B, (All E, (((subset T_2 E) /\ (subset B E)) => (equal_set (difference E (union T_2 B)) (intersection (difference E T_2) (difference E B))))))) ### NotAllEx 22 % 0.20/0.42 24. (-. (All A, (All B, (All E, (((subset A E) /\ (subset B E)) => (equal_set (difference E (union A B)) (intersection (difference E A) (difference E B)))))))) ### NotAllEx 23 % 0.20/0.42 % SZS output end Proof % 0.20/0.42 (* END-PROOF *) %------------------------------------------------------------------------------