%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0. % 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 19:22:14 EDT 2022 % Result : Theorem 0.19s 0.44s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWB032+2 : TPTP v8.1.0. Released v5.2.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n029.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 1 06:09:30 EDT 2022 % 0.12/0.34 % CPUTime : % 0.19/0.44 % SZS status Theorem % 0.19/0.44 (* PROOF-FOUND *) % 0.19/0.44 (* BEGIN-PROOF *) % 0.19/0.44 % SZS output start Proof % 0.19/0.44 1. (idc (uri_xsd_string)) (-. (idc (uri_xsd_string))) ### Axiom % 0.19/0.44 2. (-. (ic (uri_xsd_string))) (ic (uri_xsd_string)) ### Axiom % 0.19/0.44 3. ((idc (uri_xsd_string)) => (ic (uri_xsd_string))) (-. (ic (uri_xsd_string))) (idc (uri_xsd_string)) ### Imply 1 2 % 0.19/0.44 4. (All X, ((idc X) => (ic X))) (idc (uri_xsd_string)) (-. (ic (uri_xsd_string))) ### All 3 % 0.19/0.44 5. (-. (icext (uri_xsd_string) T_0)) (icext (uri_xsd_string) T_0) ### Axiom % 0.19/0.44 6. (-. ((icext (uri_xsd_string) T_0) => (icext (uri_xsd_string) T_0))) ### NotImply 5 % 0.19/0.44 7. (-. (All X, ((icext (uri_xsd_string) X) => (icext (uri_xsd_string) X)))) ### NotAllEx 6 % 0.19/0.44 8. (-. ((ic (uri_xsd_string)) /\ ((ic (uri_xsd_string)) /\ (All X, ((icext (uri_xsd_string) X) => (icext (uri_xsd_string) X)))))) (idc (uri_xsd_string)) (All X, ((idc X) => (ic X))) ### DisjTree 4 4 7 % 0.19/0.44 9. (idc (uri_xsd_decimal)) (-. (idc (uri_xsd_decimal))) ### Axiom % 0.19/0.44 10. (-. (ic (uri_xsd_decimal))) (ic (uri_xsd_decimal)) ### Axiom % 0.19/0.44 11. ((idc (uri_xsd_decimal)) => (ic (uri_xsd_decimal))) (-. (ic (uri_xsd_decimal))) (idc (uri_xsd_decimal)) ### Imply 9 10 % 0.19/0.44 12. (All X, ((idc X) => (ic X))) (idc (uri_xsd_decimal)) (-. (ic (uri_xsd_decimal))) ### All 11 % 0.19/0.44 13. (ic (uri_xsd_string)) (-. (ic (uri_xsd_string))) ### Axiom % 0.19/0.44 14. (icext (uri_xsd_decimal) T_1) (-. (icext (uri_xsd_decimal) T_1)) ### Axiom % 0.19/0.44 15. (icext (uri_xsd_string) T_1) (-. (icext (uri_xsd_string) T_1)) ### Axiom % 0.19/0.44 16. (icext (uri_rdf_PlainLiteral) T_1) (-. (icext (uri_rdf_PlainLiteral) T_1)) ### Axiom % 0.19/0.44 17. (icext (uri_owl_rational) T_1) (-. (icext (uri_owl_rational) T_1)) ### Axiom % 0.19/0.44 18. (-. (icext (uri_owl_real) T_1)) (icext (uri_owl_real) T_1) ### Axiom % 0.19/0.44 19. ((icext (uri_owl_rational) T_1) => (icext (uri_owl_real) T_1)) (-. (icext (uri_owl_real) T_1)) (icext (uri_owl_rational) T_1) ### Imply 17 18 % 0.19/0.44 20. (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (icext (uri_owl_rational) T_1) (-. (icext (uri_owl_real) T_1)) ### All 19 % 0.19/0.44 21. (-. ((icext (uri_rdf_PlainLiteral) T_1) /\ (icext (uri_owl_real) T_1))) (icext (uri_owl_rational) T_1) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (icext (uri_rdf_PlainLiteral) T_1) ### NotAnd 16 20 % 0.19/0.44 22. (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (icext (uri_rdf_PlainLiteral) T_1) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (icext (uri_owl_rational) T_1) ### All 21 % 0.19/0.44 23. ((icext (uri_xsd_string) T_1) => (icext (uri_rdf_PlainLiteral) T_1)) (icext (uri_owl_rational) T_1) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (icext (uri_xsd_string) T_1) ### Imply 15 22 % 0.19/0.44 24. (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (icext (uri_xsd_string) T_1) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (icext (uri_owl_rational) T_1) ### All 23 % 0.19/0.44 25. ((icext (uri_xsd_decimal) T_1) => (icext (uri_owl_rational) T_1)) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (icext (uri_xsd_string) T_1) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (icext (uri_xsd_decimal) T_1) ### Imply 14 24 % 0.19/0.44 26. (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (icext (uri_xsd_decimal) T_1) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (icext (uri_xsd_string) T_1) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) ### All 25 % 0.19/0.44 27. ((icext (uri_xsd_decimal) T_1) /\ (icext (uri_xsd_string) T_1)) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) ### And 26 % 0.19/0.44 28. (-. (-. ((icext (uri_xsd_decimal) T_1) /\ (icext (uri_xsd_string) T_1)))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) ### NotNot 27 % 0.19/0.44 29. (-. (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext (uri_xsd_string) X))))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) ### NotAllEx 28 % 0.19/0.44 30. (-. ((ic (uri_xsd_decimal)) /\ ((ic (uri_xsd_string)) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext (uri_xsd_string) X))))))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (ic (uri_xsd_string)) (idc (uri_xsd_decimal)) (All X, ((idc X) => (ic X))) ### DisjTree 12 13 29 % 0.19/0.44 31. (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string)) ### Axiom % 0.19/0.44 32. ((iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string)) <=> ((ic (uri_xsd_decimal)) /\ ((ic (uri_xsd_string)) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext (uri_xsd_string) X))))))) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (All X, ((idc X) => (ic X))) (idc (uri_xsd_decimal)) (ic (uri_xsd_string)) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) ### Equiv 30 31 % 0.19/0.44 33. (All C2, ((iext (uri_owl_disjointWith) (uri_xsd_decimal) C2) <=> ((ic (uri_xsd_decimal)) /\ ((ic C2) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext C2 X)))))))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (ic (uri_xsd_string)) (idc (uri_xsd_decimal)) (All X, ((idc X) => (ic X))) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) ### All 32 % 0.19/0.44 34. ((ic (uri_xsd_string)) /\ ((ic (uri_xsd_string)) /\ (All X, ((icext (uri_xsd_string) X) => (icext (uri_xsd_string) X))))) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (All X, ((idc X) => (ic X))) (idc (uri_xsd_decimal)) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All C2, ((iext (uri_owl_disjointWith) (uri_xsd_decimal) C2) <=> ((ic (uri_xsd_decimal)) /\ ((ic C2) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext C2 X)))))))) ### ConjTree 33 % 0.19/0.44 35. ((iext (uri_rdfs_subClassOf) (uri_xsd_string) (uri_xsd_string)) <=> ((ic (uri_xsd_string)) /\ ((ic (uri_xsd_string)) /\ (All X, ((icext (uri_xsd_string) X) => (icext (uri_xsd_string) X)))))) (All C2, ((iext (uri_owl_disjointWith) (uri_xsd_decimal) C2) <=> ((ic (uri_xsd_decimal)) /\ ((ic C2) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext C2 X)))))))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (idc (uri_xsd_decimal)) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (All X, ((idc X) => (ic X))) (idc (uri_xsd_string)) ### Equiv 8 34 % 0.19/0.44 36. (All C2, ((iext (uri_rdfs_subClassOf) (uri_xsd_string) C2) <=> ((ic (uri_xsd_string)) /\ ((ic C2) /\ (All X, ((icext (uri_xsd_string) X) => (icext C2 X))))))) (idc (uri_xsd_string)) (All X, ((idc X) => (ic X))) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (idc (uri_xsd_decimal)) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All C2, ((iext (uri_owl_disjointWith) (uri_xsd_decimal) C2) <=> ((ic (uri_xsd_decimal)) /\ ((ic C2) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext C2 X)))))))) ### All 35 % 0.19/0.44 37. (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) (All C2, ((iext (uri_owl_disjointWith) (uri_xsd_decimal) C2) <=> ((ic (uri_xsd_decimal)) /\ ((ic C2) /\ (All X, (-. ((icext (uri_xsd_decimal) X) /\ (icext C2 X)))))))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (idc (uri_xsd_decimal)) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (All X, ((idc X) => (ic X))) (idc (uri_xsd_string)) ### All 36 % 0.19/0.44 38. (All C1, (All C2, ((iext (uri_owl_disjointWith) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, (-. ((icext C1 X) /\ (icext C2 X))))))))) (idc (uri_xsd_string)) (All X, ((idc X) => (ic X))) (-. (iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string))) (idc (uri_xsd_decimal)) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) ### All 37 % 0.19/0.44 39. (-. (icext (uri_xsd_decimal) T_2)) (icext (uri_xsd_decimal) T_2) ### Axiom % 0.19/0.44 40. (-. ((icext (uri_xsd_decimal) T_2) => (icext (uri_xsd_decimal) T_2))) ### NotImply 39 % 0.19/0.44 41. (-. (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_xsd_decimal) X)))) ### NotAllEx 40 % 0.19/0.44 42. (-. ((ic (uri_xsd_decimal)) /\ ((ic (uri_xsd_decimal)) /\ (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_xsd_decimal) X)))))) (idc (uri_xsd_decimal)) (All X, ((idc X) => (ic X))) ### DisjTree 12 12 41 % 0.19/0.44 43. (idc (uri_xsd_integer)) (-. (idc (uri_xsd_integer))) ### Axiom % 0.19/0.44 44. (-. (ic (uri_xsd_integer))) (ic (uri_xsd_integer)) ### Axiom % 0.19/0.44 45. ((idc (uri_xsd_integer)) => (ic (uri_xsd_integer))) (-. (ic (uri_xsd_integer))) (idc (uri_xsd_integer)) ### Imply 43 44 % 0.19/0.44 46. (All X, ((idc X) => (ic X))) (idc (uri_xsd_integer)) (-. (ic (uri_xsd_integer))) ### All 45 % 0.19/0.44 47. (-. (icext (uri_xsd_integer) T_3)) (icext (uri_xsd_integer) T_3) ### Axiom % 0.19/0.44 48. (-. ((icext (uri_xsd_integer) T_3) => (icext (uri_xsd_integer) T_3))) ### NotImply 47 % 0.19/0.44 49. (-. (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_integer) X)))) ### NotAllEx 48 % 0.19/0.44 50. (-. ((ic (uri_xsd_integer)) /\ ((ic (uri_xsd_integer)) /\ (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_integer) X)))))) (idc (uri_xsd_integer)) (All X, ((idc X) => (ic X))) ### DisjTree 46 46 49 % 0.19/0.44 51. (ic (uri_xsd_integer)) (-. (ic (uri_xsd_integer))) ### Axiom % 0.19/0.44 52. (ic (uri_xsd_decimal)) (-. (ic (uri_xsd_decimal))) ### Axiom % 0.19/0.44 53. (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (-. (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X)))) ### Axiom % 0.19/0.44 54. (-. ((ic (uri_xsd_integer)) /\ ((ic (uri_xsd_decimal)) /\ (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X)))))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (ic (uri_xsd_decimal)) (ic (uri_xsd_integer)) ### DisjTree 51 52 53 % 0.19/0.44 55. (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal)) ### Axiom % 0.19/0.44 56. ((iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal)) <=> ((ic (uri_xsd_integer)) /\ ((ic (uri_xsd_decimal)) /\ (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X)))))) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (ic (uri_xsd_integer)) (ic (uri_xsd_decimal)) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) ### Equiv 54 55 % 0.19/0.44 57. (All C2, ((iext (uri_rdfs_subClassOf) (uri_xsd_integer) C2) <=> ((ic (uri_xsd_integer)) /\ ((ic C2) /\ (All X, ((icext (uri_xsd_integer) X) => (icext C2 X))))))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (ic (uri_xsd_decimal)) (ic (uri_xsd_integer)) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) ### All 56 % 0.19/0.44 58. ((ic (uri_xsd_integer)) /\ ((ic (uri_xsd_integer)) /\ (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_integer) X))))) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (ic (uri_xsd_decimal)) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (All C2, ((iext (uri_rdfs_subClassOf) (uri_xsd_integer) C2) <=> ((ic (uri_xsd_integer)) /\ ((ic C2) /\ (All X, ((icext (uri_xsd_integer) X) => (icext C2 X))))))) ### ConjTree 57 % 0.19/0.44 59. ((iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_integer)) <=> ((ic (uri_xsd_integer)) /\ ((ic (uri_xsd_integer)) /\ (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_integer) X)))))) (All C2, ((iext (uri_rdfs_subClassOf) (uri_xsd_integer) C2) <=> ((ic (uri_xsd_integer)) /\ ((ic C2) /\ (All X, ((icext (uri_xsd_integer) X) => (icext C2 X))))))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (ic (uri_xsd_decimal)) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (All X, ((idc X) => (ic X))) (idc (uri_xsd_integer)) ### Equiv 50 58 % 0.19/0.44 60. (idc (uri_xsd_integer)) (All X, ((idc X) => (ic X))) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (ic (uri_xsd_decimal)) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (All C2, ((iext (uri_rdfs_subClassOf) (uri_xsd_integer) C2) <=> ((ic (uri_xsd_integer)) /\ ((ic C2) /\ (All X, ((icext (uri_xsd_integer) X) => (icext C2 X))))))) ### All 59 % 0.19/0.44 61. (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (ic (uri_xsd_decimal)) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (All X, ((idc X) => (ic X))) (idc (uri_xsd_integer)) ### All 60 % 0.19/0.44 62. ((ic (uri_xsd_decimal)) /\ ((ic (uri_xsd_decimal)) /\ (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_xsd_decimal) X))))) (idc (uri_xsd_integer)) (All X, ((idc X) => (ic X))) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) ### ConjTree 61 % 0.19/0.44 63. ((iext (uri_rdfs_subClassOf) (uri_xsd_decimal) (uri_xsd_decimal)) <=> ((ic (uri_xsd_decimal)) /\ ((ic (uri_xsd_decimal)) /\ (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_xsd_decimal) X)))))) (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (idc (uri_xsd_integer)) (All X, ((idc X) => (ic X))) (idc (uri_xsd_decimal)) ### Equiv 42 62 % 0.19/0.44 64. (All C2, ((iext (uri_rdfs_subClassOf) (uri_xsd_decimal) C2) <=> ((ic (uri_xsd_decimal)) /\ ((ic C2) /\ (All X, ((icext (uri_xsd_decimal) X) => (icext C2 X))))))) (idc (uri_xsd_decimal)) (All X, ((idc X) => (ic X))) (idc (uri_xsd_integer)) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) ### All 63 % 0.19/0.44 65. (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (-. (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal))) (idc (uri_xsd_integer)) (All X, ((idc X) => (ic X))) (idc (uri_xsd_decimal)) ### All 64 % 0.19/0.44 66. (-. ((iext (uri_owl_disjointWith) (uri_xsd_decimal) (uri_xsd_string)) /\ (iext (uri_rdfs_subClassOf) (uri_xsd_integer) (uri_xsd_decimal)))) (idc (uri_xsd_integer)) (All X, ((icext (uri_xsd_integer) X) => (icext (uri_xsd_decimal) X))) (All C1, (All C2, ((iext (uri_rdfs_subClassOf) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, ((icext C1 X) => (icext C2 X)))))))) (All X, ((icext (uri_xsd_decimal) X) => (icext (uri_owl_rational) X))) (All X, ((icext (uri_xsd_string) X) => (icext (uri_rdf_PlainLiteral) X))) (All X, (-. ((icext (uri_rdf_PlainLiteral) X) /\ (icext (uri_owl_real) X)))) (All X, ((icext (uri_owl_rational) X) => (icext (uri_owl_real) X))) (idc (uri_xsd_decimal)) (All X, ((idc X) => (ic X))) (idc (uri_xsd_string)) (All C1, (All C2, ((iext (uri_owl_disjointWith) C1 C2) <=> ((ic C1) /\ ((ic C2) /\ (All X, (-. ((icext C1 X) /\ (icext C2 X))))))))) ### NotAnd 38 65 % 0.19/0.44 % SZS output end Proof % 0.19/0.44 (* END-PROOF *) %------------------------------------------------------------------------------