%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 15:56:45 EDT 2022 % Result : Theorem 20.06s 20.31s % Output : Proof 20.06s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.11 % Problem : NUM550+3 : TPTP v8.1.0. Released v4.0.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.11/0.32 % Computer : n009.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Wed Jul 6 17:04:37 EDT 2022 % 0.11/0.33 % CPUTime : % 20.06/20.31 (* PROOF-FOUND *) % 20.06/20.31 % SZS status Theorem % 20.06/20.31 (* BEGIN-PROOF *) % 20.06/20.31 % SZS output start Proof % 20.06/20.31 Theorem m__ : (~((~(exists W0 : zenon_U, (aElementOf0 W0 (xQ))))/\((xQ) = (slcrc0)))). % 20.06/20.31 Proof. % 20.06/20.31 assert (zenon_L1_ : (~((xk) = (xk))) -> False). % 20.06/20.31 do 0 intro. intros zenon_H43. % 20.06/20.31 apply zenon_H43. apply refl_equal. % 20.06/20.31 (* end of lemma zenon_L1_ *) % 20.06/20.31 apply NNPP. intro zenon_G. % 20.06/20.31 apply (zenon_and_s _ _ m__2202_02). zenon_intro zenon_H45. zenon_intro zenon_H44. % 20.06/20.31 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 20.06/20.31 apply (zenon_and_s _ _ m__2270). zenon_intro zenon_H49. zenon_intro zenon_H48. % 20.06/20.31 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 20.06/20.31 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 20.06/20.31 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 20.06/20.31 apply zenon_G. zenon_intro zenon_H50. % 20.06/20.31 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H52. zenon_intro zenon_H51. % 20.06/20.31 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 20.06/20.31 cut (((sz00) = (sz00)) = ((xk) = (sz00))). % 20.06/20.31 intro zenon_D_pnotp. % 20.06/20.31 apply zenon_H46. % 20.06/20.31 rewrite <- zenon_D_pnotp. % 20.06/20.31 exact zenon_H53. % 20.06/20.31 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 20.06/20.31 cut (((sz00) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 20.06/20.31 congruence. % 20.06/20.31 cut (((sbrdtbr0 (xQ)) = (xk)) = ((sz00) = (xk))). % 20.06/20.31 intro zenon_D_pnotp. % 20.06/20.31 apply zenon_H55. % 20.06/20.31 rewrite <- zenon_D_pnotp. % 20.06/20.31 exact zenon_H4f. % 20.06/20.31 cut (((xk) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 20.06/20.31 cut (((sbrdtbr0 (xQ)) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H56]. % 20.06/20.31 congruence. % 20.06/20.31 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H53 | zenon_intro zenon_H54 ]. % 20.06/20.31 cut (((sz00) = (sz00)) = ((sbrdtbr0 (xQ)) = (sz00))). % 20.06/20.31 intro zenon_D_pnotp. % 20.06/20.31 apply zenon_H56. % 20.06/20.31 rewrite <- zenon_D_pnotp. % 20.06/20.31 exact zenon_H53. % 20.06/20.31 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 20.06/20.31 cut (((sz00) = (sbrdtbr0 (xQ)))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 20.06/20.31 congruence. % 20.06/20.31 generalize (mCardEmpty (xQ)). zenon_intro zenon_H58. % 20.06/20.31 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 20.06/20.31 exact (zenon_H5a zenon_H49). % 20.06/20.31 apply (zenon_equiv_s _ _ zenon_H59); [ zenon_intro zenon_H56; zenon_intro zenon_H5c | zenon_intro zenon_H5b; zenon_intro zenon_H51 ]. % 20.06/20.31 exact (zenon_H5c zenon_H51). % 20.06/20.31 apply zenon_H57. apply sym_equal. exact zenon_H5b. % 20.06/20.31 apply zenon_H54. apply refl_equal. % 20.06/20.31 apply zenon_H54. apply refl_equal. % 20.06/20.31 apply zenon_H43. apply refl_equal. % 20.06/20.31 apply zenon_H54. apply refl_equal. % 20.06/20.31 apply zenon_H54. apply refl_equal. % 20.06/20.31 Qed. % 20.06/20.31 % SZS output end Proof % 20.06/20.31 (* END-PROOF *) % 20.06/20.31 nodes searched: 571587 % 20.06/20.31 max branch formulas: 6709 % 20.06/20.31 proof nodes created: 7367 % 20.06/20.31 formulas created: 1731544 % 20.06/20.31 %------------------------------------------------------------------------------