TSTP Solution File: SWB030+2 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SWB030+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 : n028.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 19:22:13 EDT 2022
% Result : Unsatisfiable 23.72s 23.97s
% Output : Proof 23.93s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWB030+2 : TPTP v8.1.0. Released v5.2.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 1 04:51:07 EDT 2022
% 0.13/0.33 % CPUTime :
% 23.72/23.97 % SZS status Theorem
% 23.72/23.97 (* PROOF-FOUND *)
% 23.72/23.97 (* BEGIN-PROOF *)
% 23.72/23.97 % SZS output start Proof
% 23.72/23.97 1. (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (iext (uri_owl_complementOf) (uri_ex_c) T_0)) ### Axiom
% 23.72/23.97 2. (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (-. (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean)))) ### Axiom
% 23.72/23.97 3. (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (-. (iext (uri_owl_onProperty) T_0 (uri_rdf_type))) ### Axiom
% 23.72/23.97 4. (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (iext (uri_owl_complementOf) (uri_ex_c) T_0)) ### Axiom
% 23.72/23.97 5. (-. (icext T_0 (uri_ex_c))) (icext T_0 (uri_ex_c)) ### Axiom
% 23.72/23.97 6. (-. (-. (icext T_0 (uri_ex_c)))) (-. (icext T_0 (uri_ex_c))) ### NotNot 5
% 23.72/23.97 7. (-. (icext (uri_ex_c) (uri_ex_c))) (icext (uri_ex_c) (uri_ex_c)) ### Axiom
% 23.72/23.97 8. ((icext (uri_ex_c) (uri_ex_c)) <=> (-. (icext T_0 (uri_ex_c)))) (-. (icext (uri_ex_c) (uri_ex_c))) (-. (icext T_0 (uri_ex_c))) ### Equiv 6 7
% 23.72/23.97 9. (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X)))) (-. (icext T_0 (uri_ex_c))) (-. (icext (uri_ex_c) (uri_ex_c))) ### All 8
% 23.72/23.97 10. ((ic (uri_ex_c)) /\ ((ic T_0) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X)))))) (-. (icext (uri_ex_c) (uri_ex_c))) (-. (icext T_0 (uri_ex_c))) ### ConjTree 9
% 23.72/23.97 11. ((iext (uri_owl_complementOf) (uri_ex_c) T_0) => ((ic (uri_ex_c)) /\ ((ic T_0) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X))))))) (-. (icext T_0 (uri_ex_c))) (-. (icext (uri_ex_c) (uri_ex_c))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) ### Imply 4 10
% 23.72/23.97 12. (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (icext (uri_ex_c) (uri_ex_c))) (-. (icext T_0 (uri_ex_c))) ### All 11
% 23.72/23.97 13. (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) ### Axiom
% 23.72/23.97 14. ((icext T_0 (uri_ex_c)) <=> (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) (-. (icext (uri_ex_c) (uri_ex_c))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) ### Equiv 12 13
% 23.72/23.97 15. (All X, ((icext T_0 X) <=> (iext (uri_rdf_type) X X))) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (icext (uri_ex_c) (uri_ex_c))) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) ### All 14
% 23.72/23.97 16. (((iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) /\ (iext (uri_owl_onProperty) T_0 (uri_rdf_type))) => (All X, ((icext T_0 X) <=> (iext (uri_rdf_type) X X)))) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) (-. (icext (uri_ex_c) (uri_ex_c))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) ### DisjTree 2 3 15
% 23.72/23.97 17. (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 (uri_rdf_type))) => (All X, ((icext T_0 X) <=> (iext (uri_rdf_type) X X))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (icext (uri_ex_c) (uri_ex_c))) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) ### All 16
% 23.72/23.97 18. (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) (-. (icext (uri_ex_c) (uri_ex_c))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) ### All 17
% 23.72/23.97 19. (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (icext (uri_ex_c) (uri_ex_c))) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) ### All 18
% 23.72/23.97 20. (-. (icext (uri_ex_c) (uri_ex_c))) (icext (uri_ex_c) (uri_ex_c)) ### Axiom
% 23.72/23.97 21. ((iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) <=> (icext (uri_ex_c) (uri_ex_c))) (-. (icext (uri_ex_c) (uri_ex_c))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) ### Equiv 19 20
% 23.72/23.97 22. (All C, ((iext (uri_rdf_type) (uri_ex_c) C) <=> (icext C (uri_ex_c)))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (-. (icext (uri_ex_c) (uri_ex_c))) ### All 21
% 23.72/23.97 23. (icext (uri_ex_c) (uri_ex_c)) (-. (icext (uri_ex_c) (uri_ex_c))) ### Axiom
% 23.72/23.97 24. (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (-. (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean)))) ### Axiom
% 23.72/23.97 25. (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (-. (iext (uri_owl_onProperty) T_0 (uri_rdf_type))) ### Axiom
% 23.72/23.97 26. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) (-. (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) ### Axiom
% 23.72/23.97 27. (-. (icext T_0 (uri_ex_c))) (icext T_0 (uri_ex_c)) ### Axiom
% 23.72/23.97 28. ((icext T_0 (uri_ex_c)) <=> (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c))) (-. (icext T_0 (uri_ex_c))) (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) ### Equiv 26 27
% 23.72/23.97 29. (All X, ((icext T_0 X) <=> (iext (uri_rdf_type) X X))) (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) (-. (icext T_0 (uri_ex_c))) ### All 28
% 23.72/23.97 30. (((iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) /\ (iext (uri_owl_onProperty) T_0 (uri_rdf_type))) => (All X, ((icext T_0 X) <=> (iext (uri_rdf_type) X X)))) (-. (icext T_0 (uri_ex_c))) (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) ### DisjTree 24 25 29
% 23.72/23.97 31. (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 (uri_rdf_type))) => (All X, ((icext T_0 X) <=> (iext (uri_rdf_type) X X))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) (-. (icext T_0 (uri_ex_c))) ### All 30
% 23.72/23.97 32. (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) (-. (icext T_0 (uri_ex_c))) (iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) ### All 31
% 23.72/23.97 33. ((iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) <=> (icext (uri_ex_c) (uri_ex_c))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (-. (icext T_0 (uri_ex_c))) (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) (icext (uri_ex_c) (uri_ex_c)) ### Equiv 23 32
% 23.93/24.12 34. (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) (-. (icext T_0 (uri_ex_c))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) ((iext (uri_rdf_type) (uri_ex_c) (uri_ex_c)) <=> (icext (uri_ex_c) (uri_ex_c))) ### Equiv 21 33
% 23.93/24.12 35. (All C, ((iext (uri_rdf_type) (uri_ex_c) C) <=> (icext C (uri_ex_c)))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (-. (icext T_0 (uri_ex_c))) (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) ### All 34
% 23.93/24.12 36. ((icext (uri_ex_c) (uri_ex_c)) <=> (-. (icext T_0 (uri_ex_c)))) (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (All C, ((iext (uri_rdf_type) (uri_ex_c) C) <=> (icext C (uri_ex_c)))) ### Equiv 22 35
% 23.93/24.12 37. (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X)))) (All C, ((iext (uri_rdf_type) (uri_ex_c) C) <=> (icext C (uri_ex_c)))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) ### All 36
% 23.93/24.12 38. (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) (All P, (All V, (((iext (uri_owl_hasSelf) T_0 V) /\ (iext (uri_owl_onProperty) T_0 P)) => (All X, ((icext T_0 X) <=> (iext P X X)))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X)))) ### All 37
% 23.93/24.12 39. (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X)))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) ### All 38
% 23.93/24.12 40. ((ic (uri_ex_c)) /\ ((ic T_0) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X)))))) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) ### ConjTree 39
% 23.93/24.12 41. ((iext (uri_owl_complementOf) (uri_ex_c) T_0) => ((ic (uri_ex_c)) /\ ((ic T_0) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext T_0 X))))))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) ### Imply 1 40
% 23.93/24.12 42. (iext (uri_owl_complementOf) (uri_ex_c) T_0) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) (All C, ((iext (uri_owl_complementOf) (uri_ex_c) C) => ((ic (uri_ex_c)) /\ ((ic C) /\ (All X, ((icext (uri_ex_c) X) <=> (-. (icext C X)))))))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) ### All 41
% 23.93/24.12 43. (All Z, (All C, ((iext (uri_owl_complementOf) Z C) => ((ic Z) /\ ((ic C) /\ (All X, ((icext Z X) <=> (-. (icext C X))))))))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))) (iext (uri_owl_onProperty) T_0 (uri_rdf_type)) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) (iext (uri_owl_complementOf) (uri_ex_c) T_0) ### All 42
% 23.93/24.12 44. ((iext (uri_rdf_type) (uri_ex_c) (uri_owl_Class)) /\ ((iext (uri_owl_complementOf) (uri_ex_c) T_0) /\ ((iext (uri_rdf_type) T_0 (uri_owl_Restriction)) /\ ((iext (uri_owl_onProperty) T_0 (uri_rdf_type)) /\ (iext (uri_owl_hasSelf) T_0 (literal_typed (dat_str_true) (uri_xsd_boolean))))))) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (All Z, (All C, ((iext (uri_owl_complementOf) Z C) => ((ic Z) /\ ((ic C) /\ (All X, ((icext Z X) <=> (-. (icext C X))))))))) ### ConjTree 43
% 23.93/24.12 45. (Ex BNODE_x, ((iext (uri_rdf_type) (uri_ex_c) (uri_owl_Class)) /\ ((iext (uri_owl_complementOf) (uri_ex_c) BNODE_x) /\ ((iext (uri_rdf_type) BNODE_x (uri_owl_Restriction)) /\ ((iext (uri_owl_onProperty) BNODE_x (uri_rdf_type)) /\ (iext (uri_owl_hasSelf) BNODE_x (literal_typed (dat_str_true) (uri_xsd_boolean)))))))) (All Z, (All C, ((iext (uri_owl_complementOf) Z C) => ((ic Z) /\ ((ic C) /\ (All X, ((icext Z X) <=> (-. (icext C X))))))))) (All Z, (All P, (All V, (((iext (uri_owl_hasSelf) Z V) /\ (iext (uri_owl_onProperty) Z P)) => (All X, ((icext Z X) <=> (iext P X X))))))) (All X, (All C, ((iext (uri_rdf_type) X C) <=> (icext C X)))) ### Exists 44
% 23.93/24.12 % SZS output end Proof
% 23.93/24.12 (* END-PROOF *)
%------------------------------------------------------------------------------