%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET642+3 : 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 : n022.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 05:43:05 EDT 2022 % Result : Theorem 3.22s 3.40s % Output : Proof 3.25s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET642+3 : TPTP v8.1.0. Released v2.2.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n022.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 09:10:40 EDT 2022 % 0.13/0.34 % CPUTime : % 3.22/3.40 % SZS status Theorem % 3.22/3.40 (* PROOF-FOUND *) % 3.22/3.40 (* BEGIN-PROOF *) % 3.22/3.40 % SZS output start Proof % 3.22/3.40 1. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom % 3.22/3.40 2. (ilf_type T_1 (set_type)) (-. (ilf_type T_1 (set_type))) ### Axiom % 3.22/3.40 3. (ilf_type T_2 (set_type)) (-. (ilf_type T_2 (set_type))) ### Axiom % 3.22/3.40 4. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom % 3.22/3.40 5. (ilf_type T_1 (set_type)) (-. (ilf_type T_1 (set_type))) ### Axiom % 3.22/3.40 6. (ilf_type T_2 (set_type)) (-. (ilf_type T_2 (set_type))) ### Axiom % 3.22/3.40 7. (ilf_type T_3 (relation_type T_1 T_2)) (-. (ilf_type T_3 (relation_type T_1 T_2))) ### Axiom % 3.22/3.40 8. (subset T_0 T_3) (-. (subset T_0 T_3)) ### Axiom % 3.22/3.40 9. (-. (subset T_0 (cross_product T_1 T_2))) (subset T_0 (cross_product T_1 T_2)) ### Axiom % 3.22/3.40 10. ((ilf_type T_3 (relation_type T_1 T_2)) => ((subset T_0 T_3) => (subset T_0 (cross_product T_1 T_2)))) (-. (subset T_0 (cross_product T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) ### DisjTree 7 8 9 % 3.22/3.40 11. (All E, ((ilf_type E (relation_type T_1 T_2)) => ((subset T_0 E) => (subset T_0 (cross_product T_1 T_2))))) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (subset T_0 (cross_product T_1 T_2))) ### All 10 % 3.22/3.40 12. ((ilf_type T_2 (set_type)) => (All E, ((ilf_type E (relation_type T_1 T_2)) => ((subset T_0 E) => (subset T_0 (cross_product T_1 T_2)))))) (-. (subset T_0 (cross_product T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) (ilf_type T_2 (set_type)) ### Imply 6 11 % 3.22/3.40 13. (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type T_1 D)) => ((subset T_0 E) => (subset T_0 (cross_product T_1 D))))))) (ilf_type T_2 (set_type)) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (subset T_0 (cross_product T_1 T_2))) ### All 12 % 3.22/3.40 14. ((ilf_type T_1 (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type T_1 D)) => ((subset T_0 E) => (subset T_0 (cross_product T_1 D)))))))) (-. (subset T_0 (cross_product T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) (ilf_type T_2 (set_type)) (ilf_type T_1 (set_type)) ### Imply 5 13 % 3.22/3.40 15. (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset T_0 E) => (subset T_0 (cross_product C D))))))))) (ilf_type T_1 (set_type)) (ilf_type T_2 (set_type)) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (subset T_0 (cross_product T_1 T_2))) ### All 14 % 3.22/3.40 16. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset T_0 E) => (subset T_0 (cross_product C D)))))))))) (-. (subset T_0 (cross_product T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) (ilf_type T_2 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) ### Imply 4 15 % 3.22/3.40 17. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_2 (set_type)) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (subset T_0 (cross_product T_1 T_2))) ### All 16 % 3.22/3.40 18. (-. (ilf_type T_0 (relation_type T_1 T_2))) (ilf_type T_0 (relation_type T_1 T_2)) ### Axiom % 3.22/3.40 19. ((ilf_type T_2 (set_type)) => ((subset T_0 (cross_product T_1 T_2)) => (ilf_type T_0 (relation_type T_1 T_2)))) (-. (ilf_type T_0 (relation_type T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_2 (set_type)) ### DisjTree 3 17 18 % 3.22/3.40 20. (All D, ((ilf_type D (set_type)) => ((subset T_0 (cross_product T_1 D)) => (ilf_type T_0 (relation_type T_1 D))))) (ilf_type T_2 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (ilf_type T_0 (relation_type T_1 T_2))) ### All 19 % 3.22/3.40 21. ((ilf_type T_1 (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset T_0 (cross_product T_1 D)) => (ilf_type T_0 (relation_type T_1 D)))))) (-. (ilf_type T_0 (relation_type T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_2 (set_type)) (ilf_type T_1 (set_type)) ### Imply 2 20 % 3.22/3.40 22. (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset T_0 (cross_product C D)) => (ilf_type T_0 (relation_type C D))))))) (ilf_type T_1 (set_type)) (ilf_type T_2 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_0 (set_type)) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (ilf_type T_0 (relation_type T_1 T_2))) ### All 21 % 3.22/3.40 23. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset T_0 (cross_product C D)) => (ilf_type T_0 (relation_type C D)))))))) (-. (ilf_type T_0 (relation_type T_1 T_2))) (subset T_0 T_3) (ilf_type T_3 (relation_type T_1 T_2)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_2 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) ### Imply 1 22 % 3.22/3.40 24. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_2 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_3 (relation_type T_1 T_2)) (subset T_0 T_3) (-. (ilf_type T_0 (relation_type T_1 T_2))) ### All 23 % 3.22/3.40 25. (-. ((ilf_type T_3 (relation_type T_1 T_2)) => ((subset T_0 T_3) => (ilf_type T_0 (relation_type T_1 T_2))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_2 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) ### ConjTree 24 % 3.22/3.40 26. (-. (All E, ((ilf_type E (relation_type T_1 T_2)) => ((subset T_0 E) => (ilf_type T_0 (relation_type T_1 T_2)))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (ilf_type T_2 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) ### NotAllEx 25 % 3.22/3.40 27. (-. ((ilf_type T_2 (set_type)) => (All E, ((ilf_type E (relation_type T_1 T_2)) => ((subset T_0 E) => (ilf_type T_0 (relation_type T_1 T_2))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) ### NotImply 26 % 3.25/3.41 28. (-. (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type T_1 D)) => ((subset T_0 E) => (ilf_type T_0 (relation_type T_1 D)))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) ### NotAllEx 27 % 3.25/3.41 29. (-. ((ilf_type T_1 (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type T_1 D)) => ((subset T_0 E) => (ilf_type T_0 (relation_type T_1 D))))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) ### NotImply 28 % 3.25/3.41 30. (-. (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset T_0 E) => (ilf_type T_0 (relation_type C D)))))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) ### NotAllEx 29 % 3.25/3.41 31. (-. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset T_0 E) => (ilf_type T_0 (relation_type C D))))))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) ### NotImply 30 % 3.25/3.41 32. (-. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (ilf_type B (relation_type C D)))))))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset B (cross_product C D)) => (ilf_type B (relation_type C D))))))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => (All E, ((ilf_type E (relation_type C D)) => ((subset B E) => (subset B (cross_product C D))))))))))) ### NotAllEx 31 % 3.25/3.41 % SZS output end Proof % 3.25/3.41 (* END-PROOF *) %------------------------------------------------------------------------------