%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 : Mon Jul 18 15:56:56 EDT 2022 % Result : Theorem 0.38s 0.60s % Output : Proof 0.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.11 % Problem : NUM571+1 : TPTP v8.1.0. Released v4.0.0. % 0.08/0.12 % Command : run_zenon %s %d % 0.11/0.33 % Computer : n013.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Wed Jul 6 15:08:14 EDT 2022 % 0.11/0.33 % CPUTime : % 0.38/0.60 (* PROOF-FOUND *) % 0.38/0.60 % SZS status Theorem % 0.38/0.60 (* BEGIN-PROOF *) % 0.38/0.60 % SZS output start Proof % 0.38/0.60 Theorem m__ : ((aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0))/\(isCountable0 (sdtlpdtrp0 (xN) (xi)))). % 0.38/0.60 Proof. % 0.38/0.60 assert (zenon_L1_ : (~((xN) = (xN))) -> False). % 0.38/0.60 do 0 intro. intros zenon_H54. % 0.38/0.60 apply zenon_H54. apply refl_equal. % 0.38/0.60 (* end of lemma zenon_L1_ *) % 0.38/0.60 assert (zenon_L2_ : ((sdtlpdtrp0 (xN) (sz00)) = (xS)) -> ((xi) = (sz00)) -> (~((xS) = (sdtlpdtrp0 (xN) (xi)))) -> False). % 0.38/0.60 do 0 intro. intros zenon_H55 zenon_H56 zenon_H57. % 0.38/0.60 elim (classic ((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (xi)))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (xi))) = ((xS) = (sdtlpdtrp0 (xN) (xi)))). % 0.38/0.60 intro zenon_D_pnotp. % 0.38/0.60 apply zenon_H57. % 0.38/0.60 rewrite <- zenon_D_pnotp. % 0.38/0.60 exact zenon_H58. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (xi)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (xi)) = (xS))); [idtac | apply NNPP; zenon_intro zenon_H5a]. % 0.38/0.60 congruence. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (sz00)) = (xS)) = ((sdtlpdtrp0 (xN) (xi)) = (xS))). % 0.38/0.60 intro zenon_D_pnotp. % 0.38/0.60 apply zenon_H5a. % 0.38/0.60 rewrite <- zenon_D_pnotp. % 0.38/0.60 exact zenon_H55. % 0.38/0.60 cut (((xS) = (xS))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (sz00)) = (sdtlpdtrp0 (xN) (xi)))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 0.38/0.60 congruence. % 0.38/0.60 elim (classic ((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (xi)))); [ zenon_intro zenon_H58 | zenon_intro zenon_H59 ]. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (xi))) = ((sdtlpdtrp0 (xN) (sz00)) = (sdtlpdtrp0 (xN) (xi)))). % 0.38/0.60 intro zenon_D_pnotp. % 0.38/0.60 apply zenon_H5c. % 0.38/0.60 rewrite <- zenon_D_pnotp. % 0.38/0.60 exact zenon_H58. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (xi)))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 0.38/0.60 cut (((sdtlpdtrp0 (xN) (xi)) = (sdtlpdtrp0 (xN) (sz00)))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 0.38/0.60 congruence. % 0.38/0.60 cut (((xi) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 0.38/0.60 cut (((xN) = (xN))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 0.38/0.60 congruence. % 0.38/0.60 apply zenon_H54. apply refl_equal. % 0.38/0.60 exact (zenon_H5e zenon_H56). % 0.38/0.60 apply zenon_H59. apply refl_equal. % 0.38/0.60 apply zenon_H59. apply refl_equal. % 0.38/0.60 apply zenon_H5b. apply refl_equal. % 0.38/0.60 apply zenon_H59. apply refl_equal. % 0.38/0.60 apply zenon_H59. apply refl_equal. % 0.38/0.60 (* end of lemma zenon_L2_ *) % 0.38/0.60 assert (zenon_L3_ : (~((szNzAzT0) = (szNzAzT0))) -> False). % 0.38/0.60 do 0 intro. intros zenon_H5f. % 0.38/0.60 apply zenon_H5f. apply refl_equal. % 0.38/0.60 (* end of lemma zenon_L3_ *) % 0.38/0.60 apply NNPP. intro zenon_G. % 0.38/0.60 apply (zenon_and_s _ _ m__3435). zenon_intro zenon_H61. zenon_intro zenon_H60. % 0.38/0.60 apply (zenon_and_s _ _ m__3623). zenon_intro zenon_H63. zenon_intro zenon_H62. % 0.38/0.60 apply (zenon_and_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64. % 0.38/0.60 apply (zenon_and_s _ _ zenon_H64). zenon_intro zenon_H55. zenon_intro zenon_H66. % 0.38/0.60 apply (zenon_imply_s _ _ m__3702_02); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 0.38/0.60 apply zenon_H68. zenon_intro zenon_H56. % 0.38/0.60 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 0.38/0.60 cut ((aSubsetOf0 (xS) (szNzAzT0)) = (aSubsetOf0 (sdtlpdtrp0 (xN) (xi)) (szNzAzT0))). % 0.38/0.60 intro zenon_D_pnotp. % 0.38/0.60 apply zenon_H6a. % 0.38/0.60 rewrite <- zenon_D_pnotp. % 0.38/0.60 exact zenon_H61. % 0.38/0.60 cut (((szNzAzT0) = (szNzAzT0))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 0.38/0.60 cut (((xS) = (sdtlpdtrp0 (xN) (xi)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 0.38/0.60 congruence. % 0.38/0.60 apply (zenon_L2_); trivial. % 0.38/0.60 apply zenon_H5f. apply refl_equal. % 0.38/0.60 cut ((isCountable0 (xS)) = (isCountable0 (sdtlpdtrp0 (xN) (xi)))). % 0.38/0.60 intro zenon_D_pnotp. % 0.38/0.60 apply zenon_H69. % 0.38/0.60 rewrite <- zenon_D_pnotp. % 0.38/0.60 exact zenon_H60. % 0.38/0.60 cut (((xS) = (sdtlpdtrp0 (xN) (xi)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 0.38/0.60 congruence. % 0.38/0.60 apply (zenon_L2_); trivial. % 0.38/0.60 apply (zenon_and_s _ _ zenon_H67). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 0.38/0.60 exact (zenon_G zenon_H6b). % 0.38/0.60 Qed. % 0.38/0.60 % SZS output end Proof % 0.38/0.60 (* END-PROOF *) % 0.38/0.60 nodes searched: 2978 % 0.38/0.60 max branch formulas: 1266 % 0.38/0.60 proof nodes created: 55 % 0.38/0.60 formulas created: 20091 % 0.38/0.60 %------------------------------------------------------------------------------