%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : MED010+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n019.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 : Sun Jul 17 21:56:01 EDT 2022 % Result : Theorem 81.01s 81.26s % Output : Proof 81.01s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : MED010+1 : TPTP v8.1.0. Released v3.2.0. % 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n019.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Tue Jul 5 01:40:38 EDT 2022 % 0.12/0.33 % CPUTime : % 81.01/81.26 % SZS status Theorem % 81.01/81.26 (* PROOF-FOUND *) % 81.01/81.26 (* BEGIN-PROOF *) % 81.01/81.26 % SZS output start Proof % 81.01/81.26 1. (gt (n0) (n0)) (-. (gt (n0) (n0))) ### Axiom % 81.01/81.26 2. (All X, (-. (gt X X))) (gt (n0) (n0)) ### All 1 % 81.01/81.26 3. (s2 (n0)) (-. (s2 (n0))) ### Axiom % 81.01/81.26 4. (All X1, ((-. (gt (n0) X1)) => (conditionnormo X1))) (-. (All X1, ((-. (gt (n0) X1)) => (conditionnormo X1)))) ### Axiom % 81.01/81.26 5. (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1))) ### Axiom % 81.01/81.26 6. ((All X1, ((-. (gt (n0) X1)) => (bsecretioni X1))) /\ ((bcapacitysn (n0)) /\ ((qilt27 (n0)) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) ### ConjTree 5 % 81.01/81.26 7. (bcapacityex (n0)) (-. (bcapacityex (n0))) ### Axiom % 81.01/81.26 8. (bcapacitysn (n0)) (-. (bcapacitysn (n0))) ### Axiom % 81.01/81.26 9. ((-. (bcapacityex (n0))) \/ (-. (bcapacitysn (n0)))) (bcapacitysn (n0)) (bcapacityex (n0)) ### Or 7 8 % 81.01/81.26 10. (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (bcapacitysn (n0)) ### All 9 % 81.01/81.26 11. ((All X1, ((-. (gt (n0) X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn (n0)) /\ ((-. (qilt27 (n0))) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) ### ConjTree 10 % 81.01/81.26 12. (-. (bcapacityne (n0))) (bcapacityne (n0)) ### Axiom % 81.01/81.26 13. (((All X1, ((-. (gt (n0) X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt (n0) X1)) => (uptakepg X1)))) /\ ((bcapacityne (n0)) /\ ((All X1, ((-. (gt (n0) X1)) => (bsecretioni X1))) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) (-. (bcapacityne (n0))) ### ConjTree 12 % 81.01/81.26 14. (-. (All X1, ((-. (gt (n0) X1)) => (uptakelg X1)))) (All X1, ((-. (gt (n0) X1)) => (uptakelg X1))) ### Axiom % 81.01/81.26 15. ((All X1, ((-. (gt (n0) X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt (n0) X1)) => (uptakepg X1))) /\ ((bcapacityex (n0)) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) (-. (All X1, ((-. (gt (n0) X1)) => (uptakelg X1)))) ### ConjTree 14 % 81.01/81.26 16. ((All X1, ((-. (gt (n0) X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt (n0) X1)) => (bsecretioni X1))) /\ ((bcapacitysn (n0)) /\ ((qilt27 (n0)) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) \/ (((All X1, ((-. (gt (n0) X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn (n0)) /\ ((-. (qilt27 (n0))) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) \/ ((((All X1, ((-. (gt (n0) X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt (n0) X1)) => (uptakepg X1)))) /\ ((bcapacityne (n0)) /\ ((All X1, ((-. (gt (n0) X1)) => (bsecretioni X1))) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))) \/ ((All X1, ((-. (gt (n0) X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt (n0) X1)) => (uptakepg X1))) /\ ((bcapacityex (n0)) /\ (All X0, ((gt (n0) X0) => (conditionhyper X0)))))))))) (-. (All X1, ((-. (gt (n0) X1)) => (uptakelg X1)))) (-. (bcapacityne (n0))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X1, ((-. (gt (n0) X1)) => (conditionnormo X1))) ### DisjTree 4 6 11 13 15 % 81.01/81.27 17. (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (All X1, ((-. (gt (n0) X1)) => (conditionnormo X1))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (bcapacityne (n0))) (-. (All X1, ((-. (gt (n0) X1)) => (uptakelg X1)))) ### All 16 % 81.01/81.27 18. (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0))))) ### Axiom % 81.01/81.27 19. (((s2 (n0)) /\ (-. (All X1, ((-. (gt (n0) X1)) => (conditionnormo X1))))) => (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (-. (All X1, ((-. (gt (n0) X1)) => (uptakelg X1)))) (-. (bcapacityne (n0))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) ### DisjTree 3 17 18 % 81.01/81.27 20. (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (bcapacityne (n0))) (-. (All X1, ((-. (gt (n0) X1)) => (uptakelg X1)))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) ### All 19 % 81.01/81.27 21. (-. ((All X1, ((-. (gt (n0) X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt (n0) X1)) => (uptakepg X1))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (-. (bcapacityne (n0))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) ### NotOr 20 % 81.01/81.27 22. (-. (gt (n0) (n0))) (gt (n0) (n0)) ### Axiom % 81.01/81.27 23. (-. (-. (gt (n0) (n0)))) (-. (gt (n0) (n0))) ### NotNot 22 % 81.01/81.27 24. (-. (drugi (n0))) (drugi (n0)) ### Axiom % 81.01/81.27 25. ((-. (gt (n0) (n0))) => (drugi (n0))) (-. (drugi (n0))) (-. (gt (n0) (n0))) ### Imply 23 24 % 81.01/81.27 26. (All X1, ((-. (gt (n0) X1)) => (drugi X1))) (-. (gt (n0) (n0))) (-. (drugi (n0))) ### All 25 % 81.01/81.27 27. (((All X1, ((-. (gt (n0) X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt (n0) X1)) => (uptakepg X1)))) => (All X1, ((-. (gt (n0) X1)) => (drugi X1)))) (-. (drugi (n0))) (-. (gt (n0) (n0))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (bcapacityne (n0))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) ### Imply 21 26 % 81.01/81.27 28. (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (-. (bcapacityne (n0))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (-. (gt (n0) (n0))) (-. (drugi (n0))) ### All 27 % 81.01/81.27 29. (All X, (-. (gt X X))) (-. (drugi (n0))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (bcapacityne (n0))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) ### All 28 % 81.01/81.27 30. (-. (s3 (n0))) (s3 (n0)) ### Axiom % 81.01/81.27 31. ((drugi (n0)) => (s3 (n0))) (-. (s3 (n0))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (-. (bcapacityne (n0))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (All X, (-. (gt X X))) ### Imply 29 30 % 81.01/81.27 32. (All X0, ((drugi X0) => (s3 X0))) (All X, (-. (gt X X))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (bcapacityne (n0))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (s3 (n0))) ### All 31 % 81.01/81.27 33. (bcapacityex (n0)) (-. (bcapacityex (n0))) ### Axiom % 81.01/81.27 34. ((-. (bcapacityne (n0))) \/ (-. (bcapacityex (n0)))) (-. (s3 (n0))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (All X, (-. (gt X X))) (All X0, ((drugi X0) => (s3 X0))) ### Or 32 33 % 81.01/81.27 35. (All X0, ((-. (bcapacityne X0)) \/ (-. (bcapacityex X0)))) (All X0, ((drugi X0) => (s3 X0))) (All X, (-. (gt X X))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (-. (All X1, ((-. (gt (n0) X1)) => (bsecretioni X1)))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (s3 (n0))) ### All 34 % 81.01/81.27 36. (bcapacityex (n0)) (-. (bcapacityex (n0))) ### Axiom % 81.01/81.27 37. ((All X1, ((-. (gt (n0) X1)) => (drugsu X1))) /\ (-. (bcapacityex (n0)))) (bcapacityex (n0)) ### And 36 % 81.01/81.27 38. ((All X1, ((-. (gt (n0) X1)) => (bsecretioni X1))) => ((All X1, ((-. (gt (n0) X1)) => (drugsu X1))) /\ (-. (bcapacityex (n0))))) (-. (s3 (n0))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (All X, (-. (gt X X))) (All X0, ((drugi X0) => (s3 X0))) (All X0, ((-. (bcapacityne X0)) \/ (-. (bcapacityex X0)))) ### Imply 35 37 % 81.01/81.27 39. (All X0, ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) => ((All X1, ((-. (gt X0 X1)) => (drugsu X1))) /\ (-. (bcapacityex X0))))) (All X0, ((-. (bcapacityne X0)) \/ (-. (bcapacityex X0)))) (All X0, ((drugi X0) => (s3 X0))) (All X, (-. (gt X X))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (s3 (n0))) ### All 38 % 81.01/81.27 40. (All X0, ((gt (n0) X0) => (conditionhyper X0))) (-. (All X0, ((gt (n0) X0) => (conditionhyper X0)))) ### Axiom % 81.01/81.27 41. (bcapacityex (n0)) (-. (bcapacityex (n0))) ### Axiom % 81.01/81.27 42. (-. ((-. (gt (n0) (n0))) /\ ((s3 (n0)) /\ ((All X0, ((gt (n0) X0) => (conditionhyper X0))) /\ (bcapacityex (n0)))))) (All X0, ((gt (n0) X0) => (conditionhyper X0))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (bcapacityex (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (s2 (n0)) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (All X0, ((drugi X0) => (s3 X0))) (All X0, ((-. (bcapacityne X0)) \/ (-. (bcapacityex X0)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) => ((All X1, ((-. (gt X0 X1)) => (drugsu X1))) /\ (-. (bcapacityex X0))))) (All X, (-. (gt X X))) ### DisjTree 2 39 40 41 % 81.01/81.27 43. (All X, (-. (gt X X))) (All X0, ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) => ((All X1, ((-. (gt X0 X1)) => (drugsu X1))) /\ (-. (bcapacityex X0))))) (All X0, ((-. (bcapacityne X0)) \/ (-. (bcapacityex X0)))) (All X0, ((drugi X0) => (s3 X0))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (s2 (n0)) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (bcapacityex (n0)) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (-. (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0)))))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (All X0, ((gt (n0) X0) => (conditionhyper X0))) ### NotExists 42 % 81.01/81.27 44. (-. (((s2 (n0)) /\ ((All X0, ((gt (n0) X0) => (conditionhyper X0))) /\ (bcapacityex (n0)))) => (Ex X0, ((-. (gt (n0) X0)) /\ ((s3 X0) /\ ((All X1, ((gt X0 X1) => (conditionhyper X1))) /\ (bcapacityex X0))))))) (All X0, (((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) => (All X1, ((-. (gt X0 X1)) => (drugi X1))))) (All X0, ((-. (bcapacityex X0)) \/ (-. (bcapacitysn X0)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (conditionnormo X1))) => (((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ ((bcapacitysn X0) /\ ((qilt27 X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ (((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) /\ ((bcapacitysn X0) /\ ((-. (qilt27 X0)) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((((All X1, ((-. (gt X0 X1)) => (-. (releaselg X1)))) \/ (All X1, ((-. (gt X0 X1)) => (uptakepg X1)))) /\ ((bcapacityne X0) /\ ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) /\ (All X1, ((gt X0 X1) => (conditionhyper X1)))))) \/ ((All X1, ((-. (gt X0 X1)) => (uptakelg X1))) /\ ((All X1, ((-. (gt X0 X1)) => (uptakepg X1))) /\ ((bcapacityex X0) /\ (All X1, ((gt X0 X1) => (conditionhyper X1))))))))))) (All X0, (((s2 X0) /\ (-. (All X1, ((-. (gt X0 X1)) => (conditionnormo X1))))) => (Ex X1, ((-. (gt X0 X1)) /\ ((s3 X1) /\ ((All X2, ((gt X1 X2) => (conditionhyper X2))) /\ (bcapacityex X1))))))) (All X0, ((drugi X0) => (s3 X0))) (All X0, ((-. (bcapacityne X0)) \/ (-. (bcapacityex X0)))) (All X0, ((All X1, ((-. (gt X0 X1)) => (bsecretioni X1))) => ((All X1, ((-. (gt X0 X1)) => (drugsu X1))) /\ (-. (bcapacityex X0))))) (All X, (-. (gt X X))) ### ConjTree 43 % 81.01/81.27 % SZS output end Proof % 81.01/81.27 (* END-PROOF *) %------------------------------------------------------------------------------