%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET756+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 : 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 05:43:46 EDT 2022 % Result : Theorem 26.36s 26.56s % Output : Proof 26.36s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : SET756+4 : TPTP v8.1.0. Bugfixed v2.2.1. % 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 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Sat Jul 9 22:04:35 EDT 2022 % 0.13/0.34 % CPUTime : % 26.36/26.56 % SZS status Theorem % 26.36/26.56 (* PROOF-FOUND *) % 26.36/26.56 (* BEGIN-PROOF *) % 26.36/26.56 % SZS output start Proof % 26.36/26.56 1. (member T_0 T_1) (-. (member T_0 T_1)) ### Axiom % 26.36/26.56 2. (apply T_2 T_3 T_0) (-. (apply T_2 T_3 T_0)) ### Axiom % 26.36/26.56 3. (-. (member T_3 (inverse_image2 T_2 T_1))) (apply T_2 T_3 T_0) (member T_0 T_1) ### Extension/test/not_inverse_image2_inst 1 2 % 26.36/26.56 4. (member T_0 T_4) (-. (member T_0 T_4)) ### Axiom % 26.36/26.56 5. (apply T_2 T_3 T_0) (-. (apply T_2 T_3 T_0)) ### Axiom % 26.36/26.56 6. (-. (member T_3 (inverse_image2 T_2 T_4))) (apply T_2 T_3 T_0) (member T_0 T_4) ### Extension/test/not_inverse_image2_inst 4 5 % 26.36/26.56 7. (member T_0 (union T_1 T_4)) (-. (member T_3 (inverse_image2 T_2 T_4))) (apply T_2 T_3 T_0) (-. (member T_3 (inverse_image2 T_2 T_1))) ### Extension/test/union 3 6 % 26.36/26.56 8. (-. (member T_3 (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4)))) (apply T_2 T_3 T_0) (member T_0 (union T_1 T_4)) ### Extension/test/not_union 7 % 26.36/26.56 9. (member T_3 (inverse_image2 T_2 (union T_1 T_4))) (-. (member T_3 (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4)))) ### Extension/test/inverse_image2 8 % 26.36/26.56 10. (-. (subset (inverse_image2 T_2 (union T_1 T_4)) (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4)))) ### Extension/test/not_subset 9 % 26.36/26.56 11. (member T_5 T_1) (-. (member T_5 T_1)) ### Axiom % 26.36/26.56 12. (-. (member T_5 (union T_1 T_4))) (member T_5 T_1) ### Extension/test/not_union 11 % 26.36/26.56 13. (apply T_2 T_6 T_5) (-. (apply T_2 T_6 T_5)) ### Axiom % 26.36/26.56 14. (-. (member T_6 (inverse_image2 T_2 (union T_1 T_4)))) (apply T_2 T_6 T_5) (member T_5 T_1) ### Extension/test/not_inverse_image2_inst 12 13 % 26.36/26.56 15. (member T_6 (inverse_image2 T_2 T_1)) (-. (member T_6 (inverse_image2 T_2 (union T_1 T_4)))) ### Extension/test/inverse_image2 14 % 26.36/26.56 16. (member T_7 T_4) (-. (member T_7 T_4)) ### Axiom % 26.36/26.56 17. (-. (member T_7 (union T_1 T_4))) (member T_7 T_4) ### Extension/test/not_union 16 % 26.36/26.56 18. (apply T_2 T_6 T_7) (-. (apply T_2 T_6 T_7)) ### Axiom % 26.36/26.56 19. (-. (member T_6 (inverse_image2 T_2 (union T_1 T_4)))) (apply T_2 T_6 T_7) (member T_7 T_4) ### Extension/test/not_inverse_image2_inst 17 18 % 26.36/26.56 20. (member T_6 (inverse_image2 T_2 T_4)) (-. (member T_6 (inverse_image2 T_2 (union T_1 T_4)))) ### Extension/test/inverse_image2 19 % 26.36/26.56 21. (member T_6 (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4))) (-. (member T_6 (inverse_image2 T_2 (union T_1 T_4)))) ### Extension/test/union 15 20 % 26.36/26.56 22. (-. (subset (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4)) (inverse_image2 T_2 (union T_1 T_4)))) ### Extension/test/not_subset 21 % 26.36/26.56 23. (-. (equal_set (inverse_image2 T_2 (union T_1 T_4)) (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4)))) ### Extension/test/not_equal_set 10 22 % 26.36/26.56 24. (-. (((maps T_2 T_8 T_9) /\ ((subset T_1 T_9) /\ (subset T_4 T_9))) => (equal_set (inverse_image2 T_2 (union T_1 T_4)) (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 T_4))))) ### ConjTree 23 % 26.36/26.56 25. (-. (All Y, (((maps T_2 T_8 T_9) /\ ((subset T_1 T_9) /\ (subset Y T_9))) => (equal_set (inverse_image2 T_2 (union T_1 Y)) (union (inverse_image2 T_2 T_1) (inverse_image2 T_2 Y)))))) ### NotAllEx 24 % 26.36/26.56 26. (-. (All X, (All Y, (((maps T_2 T_8 T_9) /\ ((subset X T_9) /\ (subset Y T_9))) => (equal_set (inverse_image2 T_2 (union X Y)) (union (inverse_image2 T_2 X) (inverse_image2 T_2 Y))))))) ### NotAllEx 25 % 26.36/26.56 27. (-. (All B, (All X, (All Y, (((maps T_2 T_8 B) /\ ((subset X B) /\ (subset Y B))) => (equal_set (inverse_image2 T_2 (union X Y)) (union (inverse_image2 T_2 X) (inverse_image2 T_2 Y)))))))) ### NotAllEx 26 % 26.36/26.56 28. (-. (All A, (All B, (All X, (All Y, (((maps T_2 A B) /\ ((subset X B) /\ (subset Y B))) => (equal_set (inverse_image2 T_2 (union X Y)) (union (inverse_image2 T_2 X) (inverse_image2 T_2 Y))))))))) ### NotAllEx 27 % 26.36/26.56 29. (-. (All F, (All A, (All B, (All X, (All Y, (((maps F A B) /\ ((subset X B) /\ (subset Y B))) => (equal_set (inverse_image2 F (union X Y)) (union (inverse_image2 F X) (inverse_image2 F Y)))))))))) ### NotAllEx 28 % 26.36/26.56 % SZS output end Proof % 26.36/26.56 (* END-PROOF *) %------------------------------------------------------------------------------