%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SET658+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 05:43:12 EDT 2022 % Result : Theorem 0.21s 0.44s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.13 % Problem : SET658+3 : TPTP v8.1.0. Released v2.2.0. % 0.13/0.14 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.14/0.35 % Computer : n010.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Sat Jul 9 20:47:15 EDT 2022 % 0.21/0.36 % CPUTime : % 0.21/0.44 % SZS status Theorem % 0.21/0.44 (* PROOF-FOUND *) % 0.21/0.44 (* BEGIN-PROOF *) % 0.21/0.44 % SZS output start Proof % 0.21/0.44 1. (ilf_type T_0 (binary_relation_type)) (-. (ilf_type T_0 (binary_relation_type))) ### Axiom % 0.21/0.44 2. (-. (ilf_type (domain_of T_0) (set_type))) (ilf_type (domain_of T_0) (set_type)) ### Axiom % 0.21/0.44 3. ((ilf_type T_0 (binary_relation_type)) => (ilf_type (domain_of T_0) (set_type))) (-. (ilf_type (domain_of T_0) (set_type))) (ilf_type T_0 (binary_relation_type)) ### Imply 1 2 % 0.21/0.44 4. (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (ilf_type T_0 (binary_relation_type)) (-. (ilf_type (domain_of T_0) (set_type))) ### All 3 % 0.21/0.44 5. (ilf_type T_0 (binary_relation_type)) (-. (ilf_type T_0 (binary_relation_type))) ### Axiom % 0.21/0.44 6. (-. (subset (domain_of T_0) (domain_of T_0))) (ilf_type T_0 (binary_relation_type)) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) ### Extension/test/p15ctrp 4 % 0.21/0.44 7. (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0))) ### Axiom % 0.21/0.44 8. ((ilf_type T_0 (binary_relation_type)) => ((subset (domain_of T_0) (domain_of T_0)) => (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0))))) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (ilf_type T_0 (binary_relation_type)) ### DisjTree 5 6 7 % 0.21/0.44 9. (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) (domain_of T_0)) => (ilf_type C (relation_type (domain_of T_0) (range_of C)))))) (ilf_type T_0 (binary_relation_type)) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) ### All 8 % 0.21/0.44 10. ((ilf_type (domain_of T_0) (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) (domain_of T_0)) => (ilf_type C (relation_type (domain_of T_0) (range_of C))))))) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) (ilf_type T_0 (binary_relation_type)) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) ### Imply 4 9 % 0.21/0.44 11. (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) B) => (ilf_type C (relation_type B (range_of C)))))))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (ilf_type T_0 (binary_relation_type)) (-. (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0)))) ### All 10 % 0.21/0.44 12. (-. ((ilf_type T_0 (binary_relation_type)) => (ilf_type T_0 (relation_type (domain_of T_0) (range_of T_0))))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) B) => (ilf_type C (relation_type B (range_of C)))))))) ### NotImply 11 % 0.21/0.44 13. (-. (All B, ((ilf_type B (binary_relation_type)) => (ilf_type B (relation_type (domain_of B) (range_of B)))))) (All B, ((ilf_type B (set_type)) => (All C, ((ilf_type C (binary_relation_type)) => ((subset (domain_of C) B) => (ilf_type C (relation_type B (range_of C)))))))) (All B, ((ilf_type B (binary_relation_type)) => (ilf_type (domain_of B) (set_type)))) ### NotAllEx 12 % 0.21/0.44 % SZS output end Proof % 0.21/0.44 (* END-PROOF *) %------------------------------------------------------------------------------