%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : NUM550+1 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 15:56:44 EDT 2022 % Result : Theorem 0.42s 0.60s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : NUM550+1 : TPTP v8.1.0. Released v4.0.0. % 0.13/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jul 5 19:56:08 EDT 2022 % 0.13/0.34 % CPUTime : % 0.42/0.60 (* PROOF-FOUND *) % 0.42/0.60 % SZS status Theorem % 0.42/0.60 (* BEGIN-PROOF *) % 0.42/0.60 % SZS output start Proof % 0.42/0.60 Theorem m__ : (~((xQ) = (slcrc0))). % 0.42/0.60 Proof. % 0.42/0.60 assert (zenon_L1_ : (~((xk) = (xk))) -> False). % 0.42/0.60 do 0 intro. intros zenon_H43. % 0.42/0.60 apply zenon_H43. apply refl_equal. % 0.42/0.60 (* end of lemma zenon_L1_ *) % 0.42/0.60 apply NNPP. intro zenon_G. % 0.42/0.60 apply (zenon_and_s _ _ m__2202_02). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.42/0.60 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.42/0.60 apply (zenon_and_s _ _ m__2291). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.42/0.60 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.42/0.60 apply zenon_G. zenon_intro zenon_H4c. % 0.42/0.60 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 0.42/0.60 cut (((sz00) = (sz00)) = ((xk) = (sz00))). % 0.42/0.60 intro zenon_D_pnotp. % 0.42/0.60 apply zenon_H46. % 0.42/0.60 rewrite <- zenon_D_pnotp. % 0.42/0.60 exact zenon_H4d. % 0.42/0.60 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 0.42/0.60 cut (((sz00) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 0.42/0.60 congruence. % 0.42/0.60 cut (((sbrdtbr0 (xQ)) = (xk)) = ((sz00) = (xk))). % 0.42/0.60 intro zenon_D_pnotp. % 0.42/0.60 apply zenon_H4f. % 0.42/0.60 rewrite <- zenon_D_pnotp. % 0.42/0.60 exact zenon_H4a. % 0.42/0.60 cut (((xk) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H43]. % 0.42/0.60 cut (((sbrdtbr0 (xQ)) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 0.42/0.60 congruence. % 0.42/0.60 elim (classic ((sz00) = (sz00))); [ zenon_intro zenon_H4d | zenon_intro zenon_H4e ]. % 0.42/0.60 cut (((sz00) = (sz00)) = ((sbrdtbr0 (xQ)) = (sz00))). % 0.42/0.60 intro zenon_D_pnotp. % 0.42/0.60 apply zenon_H50. % 0.42/0.60 rewrite <- zenon_D_pnotp. % 0.42/0.60 exact zenon_H4d. % 0.42/0.60 cut (((sz00) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H4e]. % 0.42/0.60 cut (((sz00) = (sbrdtbr0 (xQ)))); [idtac | apply NNPP; zenon_intro zenon_H51]. % 0.42/0.60 congruence. % 0.42/0.60 generalize (mCardEmpty (xQ)). zenon_intro zenon_H52. % 0.42/0.60 apply (zenon_imply_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.42/0.60 exact (zenon_H54 zenon_H49). % 0.42/0.60 apply (zenon_equiv_s _ _ zenon_H53); [ zenon_intro zenon_H50; zenon_intro zenon_H56 | zenon_intro zenon_H55; zenon_intro zenon_H4c ]. % 0.42/0.60 exact (zenon_H56 zenon_H4c). % 0.42/0.60 apply zenon_H51. apply sym_equal. exact zenon_H55. % 0.42/0.60 apply zenon_H4e. apply refl_equal. % 0.42/0.60 apply zenon_H4e. apply refl_equal. % 0.42/0.60 apply zenon_H43. apply refl_equal. % 0.42/0.60 apply zenon_H4e. apply refl_equal. % 0.42/0.60 apply zenon_H4e. apply refl_equal. % 0.42/0.60 Qed. % 0.42/0.60 % SZS output end Proof % 0.42/0.60 (* END-PROOF *) % 0.42/0.60 nodes searched: 2890 % 0.42/0.60 max branch formulas: 1390 % 0.42/0.60 proof nodes created: 112 % 0.42/0.60 formulas created: 19037 % 0.42/0.60 %------------------------------------------------------------------------------