%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET752+4 : TPTP v8.1.0. Bugfixed v2.2.1. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n007.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 05:43:45 EDT 2022 % Result : Theorem 1.21s 1.40s % Output : Proof 1.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : SET752+4 : TPTP v8.1.0. Bugfixed v2.2.1. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n007.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 : Sun Jul 10 14:36:02 EDT 2022 % 0.12/0.33 % CPUTime : % 1.21/1.40 % SZS status Theorem % 1.21/1.40 (* PROOF-FOUND *) % 1.21/1.40 (* BEGIN-PROOF *) % 1.21/1.40 % SZS output start Proof % 1.21/1.40 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 1.21/1.40 2. (apply T_2 T_0 T_3) (-. (apply T_2 T_0 T_3)) ### Axiom % 1.21/1.40 3. (-. (member T_3 (image2 T_2 T_1))) (apply T_2 T_0 T_3) (member T_0 T_1) ### Extension/test/not_image2_inst 1 2 % 1.21/1.40 4. (member T_0 T_4) (-. (member T_0 T_4)) ### Axiom % 1.21/1.40 5. (apply T_2 T_0 T_3) (-. (apply T_2 T_0 T_3)) ### Axiom % 1.21/1.40 6. (-. (member T_3 (image2 T_2 T_4))) (apply T_2 T_0 T_3) (member T_0 T_4) ### Extension/test/not_image2_inst 4 5 % 1.21/1.40 7. (member T_0 (union T_1 T_4)) (-. (member T_3 (image2 T_2 T_4))) (apply T_2 T_0 T_3) (-. (member T_3 (image2 T_2 T_1))) ### Extension/test/union 3 6 % 1.21/1.40 8. (-. (member T_3 (union (image2 T_2 T_1) (image2 T_2 T_4)))) (apply T_2 T_0 T_3) (member T_0 (union T_1 T_4)) ### Extension/test/not_union 7 % 1.21/1.40 9. (member T_3 (image2 T_2 (union T_1 T_4))) (-. (member T_3 (union (image2 T_2 T_1) (image2 T_2 T_4)))) ### Extension/test/image2 8 % 1.21/1.40 10. (-. (subset (image2 T_2 (union T_1 T_4)) (union (image2 T_2 T_1) (image2 T_2 T_4)))) ### Extension/test/not_subset 9 % 1.21/1.40 11. (member T_5 T_1) (-. (member T_5 T_1)) ### Axiom % 1.21/1.40 12. (-. (member T_5 (union T_1 T_4))) (member T_5 T_1) ### Extension/test/not_union 11 % 1.21/1.40 13. (apply T_2 T_5 T_6) (-. (apply T_2 T_5 T_6)) ### Axiom % 1.21/1.40 14. (-. (member T_6 (image2 T_2 (union T_1 T_4)))) (apply T_2 T_5 T_6) (member T_5 T_1) ### Extension/test/not_image2_inst 12 13 % 1.21/1.40 15. (member T_6 (image2 T_2 T_1)) (-. (member T_6 (image2 T_2 (union T_1 T_4)))) ### Extension/test/image2 14 % 1.21/1.40 16. (member T_7 T_4) (-. (member T_7 T_4)) ### Axiom % 1.21/1.40 17. (-. (member T_7 (union T_1 T_4))) (member T_7 T_4) ### Extension/test/not_union 16 % 1.21/1.40 18. (apply T_2 T_7 T_6) (-. (apply T_2 T_7 T_6)) ### Axiom % 1.21/1.40 19. (-. (member T_6 (image2 T_2 (union T_1 T_4)))) (apply T_2 T_7 T_6) (member T_7 T_4) ### Extension/test/not_image2_inst 17 18 % 1.21/1.40 20. (member T_6 (image2 T_2 T_4)) (-. (member T_6 (image2 T_2 (union T_1 T_4)))) ### Extension/test/image2 19 % 1.21/1.40 21. (member T_6 (union (image2 T_2 T_1) (image2 T_2 T_4))) (-. (member T_6 (image2 T_2 (union T_1 T_4)))) ### Extension/test/union 15 20 % 1.21/1.40 22. (-. (subset (union (image2 T_2 T_1) (image2 T_2 T_4)) (image2 T_2 (union T_1 T_4)))) ### Extension/test/not_subset 21 % 1.21/1.40 23. (-. (equal_set (image2 T_2 (union T_1 T_4)) (union (image2 T_2 T_1) (image2 T_2 T_4)))) ### Extension/test/not_equal_set 10 22 % 1.21/1.40 24. (-. (((maps T_2 T_8 T_9) /\ ((subset T_1 T_8) /\ (subset T_4 T_8))) => (equal_set (image2 T_2 (union T_1 T_4)) (union (image2 T_2 T_1) (image2 T_2 T_4))))) ### ConjTree 23 % 1.21/1.40 25. (-. (All Y, (((maps T_2 T_8 T_9) /\ ((subset T_1 T_8) /\ (subset Y T_8))) => (equal_set (image2 T_2 (union T_1 Y)) (union (image2 T_2 T_1) (image2 T_2 Y)))))) ### NotAllEx 24 % 1.21/1.40 26. (-. (All X, (All Y, (((maps T_2 T_8 T_9) /\ ((subset X T_8) /\ (subset Y T_8))) => (equal_set (image2 T_2 (union X Y)) (union (image2 T_2 X) (image2 T_2 Y))))))) ### NotAllEx 25 % 1.21/1.40 27. (-. (All B, (All X, (All Y, (((maps T_2 T_8 B) /\ ((subset X T_8) /\ (subset Y T_8))) => (equal_set (image2 T_2 (union X Y)) (union (image2 T_2 X) (image2 T_2 Y)))))))) ### NotAllEx 26 % 1.21/1.40 28. (-. (All A, (All B, (All X, (All Y, (((maps T_2 A B) /\ ((subset X A) /\ (subset Y A))) => (equal_set (image2 T_2 (union X Y)) (union (image2 T_2 X) (image2 T_2 Y))))))))) ### NotAllEx 27 % 1.21/1.40 29. (-. (All F, (All A, (All B, (All X, (All Y, (((maps F A B) /\ ((subset X A) /\ (subset Y A))) => (equal_set (image2 F (union X Y)) (union (image2 F X) (image2 F Y)))))))))) ### NotAllEx 28 % 1.21/1.40 % SZS output end Proof % 1.21/1.40 (* END-PROOF *) %------------------------------------------------------------------------------