%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET643+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 : n029.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 0.20s 0.41s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET643+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 : n029.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 04:20:31 EDT 2022 % 0.13/0.34 % CPUTime : % 0.20/0.41 % SZS status Theorem % 0.20/0.41 (* PROOF-FOUND *) % 0.20/0.41 (* BEGIN-PROOF *) % 0.20/0.41 % SZS output start Proof % 0.20/0.41 1. (-. (ilf_type (cross_product T_0 T_1) (set_type))) (ilf_type (cross_product T_0 T_1) (set_type)) ### Axiom % 0.20/0.41 2. (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_1) (set_type))) ### All 1 % 0.20/0.41 3. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom % 0.20/0.41 4. (ilf_type T_1 (set_type)) (-. (ilf_type T_1 (set_type))) ### Axiom % 0.20/0.41 5. (-. (subset (cross_product T_0 T_1) (cross_product T_0 T_1))) (All B, (ilf_type B (set_type))) ### Extension/test/p10ctrp 2 % 0.20/0.41 6. (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1)) ### Axiom % 0.20/0.41 7. ((ilf_type T_1 (set_type)) => ((subset (cross_product T_0 T_1) (cross_product T_0 T_1)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1)))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (All B, (ilf_type B (set_type))) (ilf_type T_1 (set_type)) ### DisjTree 4 5 6 % 0.20/0.41 8. (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product T_0 D)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 D))))) (ilf_type T_1 (set_type)) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) ### All 7 % 0.20/0.41 9. ((ilf_type T_0 (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product T_0 D)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 D)))))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (All B, (ilf_type B (set_type))) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) ### Imply 3 8 % 0.20/0.41 10. (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product C D)) => (ilf_type (cross_product T_0 T_1) (relation_type C D))))))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) ### All 9 % 0.20/0.41 11. ((ilf_type (cross_product T_0 T_1) (set_type)) => (All C, ((ilf_type C (set_type)) => (All D, ((ilf_type D (set_type)) => ((subset (cross_product T_0 T_1) (cross_product C D)) => (ilf_type (cross_product T_0 T_1) (relation_type C D)))))))) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) (ilf_type T_1 (set_type)) (ilf_type T_0 (set_type)) (All B, (ilf_type B (set_type))) ### Imply 2 10 % 0.20/0.41 12. (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))) (ilf_type T_0 (set_type)) (ilf_type T_1 (set_type)) (-. (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1))) ### All 11 % 0.20/0.41 13. (-. ((ilf_type T_1 (set_type)) => (ilf_type (cross_product T_0 T_1) (relation_type T_0 T_1)))) (ilf_type T_0 (set_type)) (All B, (ilf_type B (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 12 % 0.20/0.41 14. (-. (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product T_0 C) (relation_type T_0 C))))) (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))) (ilf_type T_0 (set_type)) ### NotAllEx 13 % 0.20/0.41 15. (-. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product T_0 C) (relation_type T_0 C)))))) (All B, (ilf_type B (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 14 % 0.20/0.41 16. (-. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C))))))) (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))) ### NotAllEx 15 % 0.20/0.41 % SZS output end Proof % 0.20/0.41 (* END-PROOF *) %------------------------------------------------------------------------------