TSTP Solution File: SWB032+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% 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 *)
%------------------------------------------------------------------------------