%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU275+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n012.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 14:49:51 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 : SEU275+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n012.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 : Sun Jun 19 03:10:38 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. (-. (relation (inclusion_relation T_0))) (relation (inclusion_relation T_0)) ### Axiom % 0.19/0.40 2. (All A, (relation (inclusion_relation A))) (-. (relation (inclusion_relation T_0))) ### All 1 % 0.19/0.40 3. (-. (reflexive (inclusion_relation T_0))) (reflexive (inclusion_relation T_0)) ### Axiom % 0.19/0.40 4. (All A, (reflexive (inclusion_relation A))) (-. (reflexive (inclusion_relation T_0))) ### All 3 % 0.19/0.40 5. (-. (transitive (inclusion_relation T_0))) (transitive (inclusion_relation T_0)) ### Axiom % 0.19/0.40 6. (All A, (transitive (inclusion_relation A))) (-. (transitive (inclusion_relation T_0))) ### All 5 % 0.19/0.40 7. (-. (antisymmetric (inclusion_relation T_0))) (antisymmetric (inclusion_relation T_0)) ### Axiom % 0.19/0.40 8. (All A, (antisymmetric (inclusion_relation A))) (-. (antisymmetric (inclusion_relation T_0))) ### All 7 % 0.19/0.40 9. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.19/0.40 10. (-. (connected (inclusion_relation T_0))) (connected (inclusion_relation T_0)) ### Axiom % 0.19/0.40 11. ((ordinal T_0) => (connected (inclusion_relation T_0))) (-. (connected (inclusion_relation T_0))) (ordinal T_0) ### Imply 9 10 % 0.19/0.40 12. (All A, ((ordinal A) => (connected (inclusion_relation A)))) (ordinal T_0) (-. (connected (inclusion_relation T_0))) ### All 11 % 0.19/0.40 13. (ordinal T_0) (-. (ordinal T_0)) ### Axiom % 0.19/0.40 14. (-. (well_founded_relation (inclusion_relation T_0))) (well_founded_relation (inclusion_relation T_0)) ### Axiom % 0.19/0.40 15. ((ordinal T_0) => (well_founded_relation (inclusion_relation T_0))) (-. (well_founded_relation (inclusion_relation T_0))) (ordinal T_0) ### Imply 13 14 % 0.19/0.40 16. (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) (ordinal T_0) (-. (well_founded_relation (inclusion_relation T_0))) ### All 15 % 0.19/0.40 17. (-. ((reflexive (inclusion_relation T_0)) /\ ((transitive (inclusion_relation T_0)) /\ ((antisymmetric (inclusion_relation T_0)) /\ ((connected (inclusion_relation T_0)) /\ (well_founded_relation (inclusion_relation T_0))))))) (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) (ordinal T_0) (All A, ((ordinal A) => (connected (inclusion_relation A)))) (All A, (antisymmetric (inclusion_relation A))) (All A, (transitive (inclusion_relation A))) (All A, (reflexive (inclusion_relation A))) ### DisjTree 4 6 8 12 16 % 0.19/0.40 18. (-. (well_ordering (inclusion_relation T_0))) (well_ordering (inclusion_relation T_0)) ### Axiom % 0.19/0.40 19. ((well_ordering (inclusion_relation T_0)) <=> ((reflexive (inclusion_relation T_0)) /\ ((transitive (inclusion_relation T_0)) /\ ((antisymmetric (inclusion_relation T_0)) /\ ((connected (inclusion_relation T_0)) /\ (well_founded_relation (inclusion_relation T_0))))))) (-. (well_ordering (inclusion_relation T_0))) (All A, (reflexive (inclusion_relation A))) (All A, (transitive (inclusion_relation A))) (All A, (antisymmetric (inclusion_relation A))) (All A, ((ordinal A) => (connected (inclusion_relation A)))) (ordinal T_0) (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) ### Equiv 17 18 % 0.19/0.40 20. ((relation (inclusion_relation T_0)) => ((well_ordering (inclusion_relation T_0)) <=> ((reflexive (inclusion_relation T_0)) /\ ((transitive (inclusion_relation T_0)) /\ ((antisymmetric (inclusion_relation T_0)) /\ ((connected (inclusion_relation T_0)) /\ (well_founded_relation (inclusion_relation T_0)))))))) (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) (ordinal T_0) (All A, ((ordinal A) => (connected (inclusion_relation A)))) (All A, (antisymmetric (inclusion_relation A))) (All A, (transitive (inclusion_relation A))) (All A, (reflexive (inclusion_relation A))) (-. (well_ordering (inclusion_relation T_0))) (All A, (relation (inclusion_relation A))) ### Imply 2 19 % 0.19/0.40 21. (All A, ((relation A) => ((well_ordering A) <=> ((reflexive A) /\ ((transitive A) /\ ((antisymmetric A) /\ ((connected A) /\ (well_founded_relation A)))))))) (All A, (relation (inclusion_relation A))) (-. (well_ordering (inclusion_relation T_0))) (All A, (reflexive (inclusion_relation A))) (All A, (transitive (inclusion_relation A))) (All A, (antisymmetric (inclusion_relation A))) (All A, ((ordinal A) => (connected (inclusion_relation A)))) (ordinal T_0) (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) ### All 20 % 0.19/0.40 22. (-. ((ordinal T_0) => (well_ordering (inclusion_relation T_0)))) (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) (All A, ((ordinal A) => (connected (inclusion_relation A)))) (All A, (antisymmetric (inclusion_relation A))) (All A, (transitive (inclusion_relation A))) (All A, (reflexive (inclusion_relation A))) (All A, (relation (inclusion_relation A))) (All A, ((relation A) => ((well_ordering A) <=> ((reflexive A) /\ ((transitive A) /\ ((antisymmetric A) /\ ((connected A) /\ (well_founded_relation A)))))))) ### NotImply 21 % 0.19/0.40 23. (-. (All A, ((ordinal A) => (well_ordering (inclusion_relation A))))) (All A, ((relation A) => ((well_ordering A) <=> ((reflexive A) /\ ((transitive A) /\ ((antisymmetric A) /\ ((connected A) /\ (well_founded_relation A)))))))) (All A, (relation (inclusion_relation A))) (All A, (reflexive (inclusion_relation A))) (All A, (transitive (inclusion_relation A))) (All A, (antisymmetric (inclusion_relation A))) (All A, ((ordinal A) => (connected (inclusion_relation A)))) (All A, ((ordinal A) => (well_founded_relation (inclusion_relation A)))) ### NotAllEx 22 % 0.19/0.40 % SZS output end Proof % 0.19/0.40 (* END-PROOF *) %------------------------------------------------------------------------------