%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET676+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 : n010.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 05:43:19 EDT 2022 % Result : Theorem 0.19s 0.40s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SET676+3 : TPTP v8.1.0. Released v2.2.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n010.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 12:16:00 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.40 % SZS status Theorem % 0.19/0.40 (* PROOF-FOUND *) % 0.19/0.40 (* BEGIN-PROOF *) % 0.19/0.40 % SZS output start Proof % 0.19/0.40 1. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom % 0.19/0.40 2. (-. (ilf_type (cross_product T_0 T_0) (set_type))) (ilf_type (cross_product T_0 T_0) (set_type)) ### Axiom % 0.19/0.40 3. (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_0) (set_type))) ### All 2 % 0.19/0.40 4. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom % 0.19/0.40 5. (ilf_type T_0 (set_type)) (-. (ilf_type T_0 (set_type))) ### Axiom % 0.19/0.40 6. (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0)) ### Axiom % 0.19/0.40 7. ((ilf_type T_0 (set_type)) => (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (ilf_type T_0 (set_type)) ### Imply 5 6 % 0.19/0.40 8. (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product T_0 C) (relation_type T_0 C)))) (ilf_type T_0 (set_type)) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) ### All 7 % 0.19/0.40 9. ((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))))) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (ilf_type T_0 (set_type)) ### Imply 4 8 % 0.19/0.40 10. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (ilf_type T_0 (set_type)) (-. (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) ### All 9 % 0.19/0.40 11. (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)) ### Axiom % 0.19/0.40 12. ((ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)) <=> (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (ilf_type T_0 (set_type)) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) ### Equiv 10 11 % 0.19/0.40 13. ((ilf_type (cross_product T_0 T_0) (set_type)) => ((ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)) <=> (ilf_type (cross_product T_0 T_0) (relation_type T_0 T_0)))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (ilf_type T_0 (set_type)) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (All B, (ilf_type B (set_type))) ### Imply 3 12 % 0.19/0.40 14. (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type T_0)) <=> (ilf_type C (relation_type T_0 T_0))))) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (ilf_type T_0 (set_type)) (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 13 % 0.19/0.40 15. ((ilf_type T_0 (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type T_0)) <=> (ilf_type C (relation_type T_0 T_0)))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (All B, (ilf_type B (set_type))) (ilf_type T_0 (set_type)) ### Imply 1 14 % 0.19/0.40 16. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type B)) <=> (ilf_type C (relation_type B B))))))) (ilf_type T_0 (set_type)) (All B, (ilf_type B (set_type))) (-. (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0))) (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 15 % 0.19/0.40 17. (-. ((ilf_type T_0 (set_type)) => (ilf_type (cross_product T_0 T_0) (identity_relation_of_type T_0)))) (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 B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type B)) <=> (ilf_type C (relation_type B B))))))) ### NotImply 16 % 0.19/0.40 18. (-. (All B, ((ilf_type B (set_type)) => (ilf_type (cross_product B B) (identity_relation_of_type B))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => ((ilf_type C (identity_relation_of_type B)) <=> (ilf_type C (relation_type B B))))))) (All B, (ilf_type B (set_type))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (set_type)) => (ilf_type (cross_product B C) (relation_type B C)))))) ### NotAllEx 17 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------