%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : MED010+1 : TPTP v8.1.0. Released v3.2.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 21:56:26 EDT 2022 % Result : Theorem 30.43s 30.63s % Output : Proof 30.43s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : MED010+1 : TPTP v8.1.0. Released v3.2.0. % 0.08/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n007.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Tue Jul 5 01:22:12 EDT 2022 % 0.13/0.35 % CPUTime : % 30.43/30.63 (* PROOF-FOUND *) % 30.43/30.63 % SZS status Theorem % 30.43/30.63 (* BEGIN-PROOF *) % 30.43/30.63 % SZS output start Proof % 30.43/30.63 Theorem unsuccesfuls2 : (((s2 (n0))/\((forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))/\(bcapacityex (n0))))->(exists X0 : zenon_U, ((~(gt (n0) X0))/\((s3 X0)/\((forall X1 : zenon_U, ((gt X0 X1)->(conditionhyper X1)))/\(bcapacityex X0)))))). % 30.43/30.63 Proof. % 30.43/30.63 assert (zenon_L1_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))/\((forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakepg X1)))/\((bcapacityex (n0))/\(forall X0 : zenon_U, ((gt (n0) X0)->(conditionhyper X0)))))) -> (~(forall X1 : zenon_U, ((~(gt (n0) X1))->(uptakelg X1)))) -> False). % 30.43/30.63 do 0 intro. intros zenon_H29 zenon_H2a. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H29). zenon_intro zenon_H2c. zenon_intro zenon_H2b. % 30.43/30.63 exact (zenon_H2a zenon_H2c). % 30.43/30.63 (* end of lemma zenon_L1_ *) % 30.43/30.63 assert (zenon_L2_ : ((forall X1 : zenon_U, ((~(gt (n0) X1))->(drugsu X1)))/\(~(bcapacityex (n0)))) -> (bcapacityex (n0)) -> False). % 30.43/30.63 do 0 intro. intros zenon_H2d zenon_H2e. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f. % 30.43/30.63 exact (zenon_H2f zenon_H2e). % 30.43/30.63 (* end of lemma zenon_L2_ *) % 30.43/30.63 apply NNPP. intro zenon_G. % 30.43/30.63 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H32. zenon_intro zenon_H31. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H2e. % 30.43/30.63 apply zenon_H31. exists (n0). apply NNPP. zenon_intro zenon_H36. % 30.43/30.63 apply (zenon_notand_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ]. % 30.43/30.63 apply zenon_H38. zenon_intro zenon_H39. % 30.43/30.63 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H3a. % 30.43/30.63 exact (zenon_H3a zenon_H39). % 30.43/30.63 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ]. % 30.43/30.63 generalize (xorcapacity2 (n0)). zenon_intro zenon_H3d. % 30.43/30.63 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H3e | zenon_intro zenon_H2f ]. % 30.43/30.63 generalize (su_completion (n0)). zenon_intro zenon_H3f. % 30.43/30.63 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H40 | zenon_intro zenon_H2d ]. % 30.43/30.63 generalize (insulincomp (n0)). zenon_intro zenon_H41. % 30.43/30.63 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 30.43/30.63 generalize (irreflexivity_gt (n0)). zenon_intro zenon_H3a. % 30.43/30.63 generalize (insulin_completion (n0)). zenon_intro zenon_H44. % 30.43/30.63 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 30.43/30.63 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H2a. zenon_intro zenon_H47. % 30.43/30.63 generalize (normo (n0)). zenon_intro zenon_H48. % 30.43/30.63 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ]. % 30.43/30.63 generalize (trans_ax3 (n0)). zenon_intro zenon_H4b. % 30.43/30.63 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 30.43/30.63 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 30.43/30.63 exact (zenon_H4f zenon_H34). % 30.43/30.63 exact (zenon_H4e zenon_H4a). % 30.43/30.63 exact (zenon_H31 zenon_H4c). % 30.43/30.63 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H53. zenon_intro zenon_H52. % 30.43/30.63 exact (zenon_H40 zenon_H53). % 30.43/30.63 apply (zenon_or_s _ _ zenon_H50); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H57. zenon_intro zenon_H56. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 30.43/30.63 generalize (xorcapacity4 (n0)). zenon_intro zenon_H5a. % 30.43/30.63 apply (zenon_or_s _ _ zenon_H5a); [ zenon_intro zenon_H2f | zenon_intro zenon_H5b ]. % 30.43/30.63 exact (zenon_H2f zenon_H2e). % 30.43/30.63 exact (zenon_H5b zenon_H59). % 30.43/30.63 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H5c | zenon_intro zenon_H29 ]. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d. % 30.43/30.63 apply (zenon_and_s _ _ zenon_H5d). zenon_intro zenon_H60. zenon_intro zenon_H5f. % 30.43/30.63 exact (zenon_H3e zenon_H60). % 30.43/30.63 apply (zenon_L1_); trivial. % 30.43/30.63 generalize (zenon_H45 (n0)). zenon_intro zenon_H61. % 30.43/30.63 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H38 | zenon_intro zenon_H62 ]. % 30.43/30.63 exact (zenon_H38 zenon_H3a). % 30.43/30.63 exact (zenon_H43 zenon_H62). % 30.43/30.63 exact (zenon_H3c zenon_H42). % 30.43/30.64 apply (zenon_L2_); trivial. % 30.43/30.64 exact (zenon_H2f zenon_H2e). % 30.43/30.64 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H63 | zenon_intro zenon_H2f ]. % 30.43/30.64 exact (zenon_H63 zenon_H35). % 30.43/30.64 exact (zenon_H2f zenon_H2e). % 30.43/30.64 Qed. % 30.43/30.64 % SZS output end Proof % 30.43/30.64 (* END-PROOF *) % 30.43/30.64 nodes searched: 1368254 % 30.43/30.64 max branch formulas: 7469 % 30.43/30.64 proof nodes created: 22900 % 30.43/30.64 formulas created: 641904 % 30.43/30.64 %------------------------------------------------------------------------------