%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS111+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 03:39:29 EDT 2022 % Result : Unsatisfiable 0.42s 0.59s % Output : Proof 0.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : KRS111+1 : TPTP v8.1.0. Released v3.1.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n021.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 Jun 7 13:34:21 EDT 2022 % 0.12/0.33 % CPUTime : % 0.42/0.59 (* PROOF-FOUND *) % 0.42/0.59 % SZS status Unsatisfiable % 0.42/0.59 (* BEGIN-PROOF *) % 0.42/0.59 % SZS output start Proof % 0.42/0.59 Theorem zenon_thm : False. % 0.42/0.59 Proof. % 0.42/0.59 assert (zenon_L1_ : forall (zenon_TY_bl : zenon_U), (~(rf1 (i2003_11_14_17_21_15425) zenon_TY_bl)) -> (rs (i2003_11_14_17_21_15425) zenon_TY_bl) -> False). % 0.42/0.59 do 1 intro. intros zenon_H23 zenon_H24. % 0.42/0.59 generalize (axiom_13 (i2003_11_14_17_21_15425)). zenon_intro zenon_H26. % 0.42/0.59 generalize (zenon_H26 zenon_TY_bl). zenon_intro zenon_H27. % 0.42/0.59 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.42/0.59 exact (zenon_H29 zenon_H24). % 0.42/0.59 exact (zenon_H23 zenon_H28). % 0.42/0.59 (* end of lemma zenon_L1_ *) % 0.42/0.59 assert (zenon_L2_ : forall (zenon_TY_bt : zenon_U) (zenon_TY_bu : zenon_U) (zenon_TY_bv : zenon_U), (zenon_TY_bv = zenon_TY_bu) -> (ra_Px1 zenon_TY_bu zenon_TY_bt) -> (~(ra_Px1 zenon_TY_bv zenon_TY_bt)) -> False). % 0.42/0.59 do 3 intro. intros zenon_H2a zenon_H2b zenon_H2c. % 0.42/0.59 generalize (ra_Px1_substitution_1 zenon_TY_bu). zenon_intro zenon_H30. % 0.42/0.59 generalize (zenon_H30 zenon_TY_bv). zenon_intro zenon_H31. % 0.42/0.59 generalize (zenon_H31 zenon_TY_bt). zenon_intro zenon_H32. % 0.42/0.59 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.42/0.59 apply (zenon_notand_s _ _ zenon_H34); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ]. % 0.42/0.59 apply zenon_H36. apply sym_equal. exact zenon_H2a. % 0.42/0.59 exact (zenon_H35 zenon_H2b). % 0.42/0.59 exact (zenon_H2c zenon_H33). % 0.42/0.59 (* end of lemma zenon_L2_ *) % 0.42/0.59 generalize (axiom_2 (i2003_11_14_17_21_15425)). zenon_intro zenon_H37. % 0.42/0.59 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro axiom_11; zenon_intro zenon_H38 ]. % 0.42/0.59 exact (zenon_H3a axiom_11). % 0.42/0.59 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3c. zenon_intro zenon_H3b. % 0.42/0.59 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d. % 0.42/0.59 elim zenon_H3c. zenon_intro zenon_TY_bu. zenon_intro zenon_H3f. % 0.42/0.59 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.42/0.59 generalize (axiom_4 zenon_TY_bu). zenon_intro zenon_H42. % 0.42/0.59 apply (zenon_equiv_s _ _ zenon_H42); [ zenon_intro zenon_H45; zenon_intro zenon_H44 | zenon_intro zenon_H40; zenon_intro zenon_H43 ]. % 0.42/0.59 exact (zenon_H45 zenon_H40). % 0.42/0.59 elim zenon_H43. zenon_intro zenon_TY_bt. zenon_intro zenon_H2b. % 0.42/0.59 elim zenon_H3e. zenon_intro zenon_TY_bl. zenon_intro zenon_H46. % 0.42/0.59 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H24. zenon_intro zenon_H47. % 0.42/0.59 elim zenon_H3d. zenon_intro zenon_TY_bv. zenon_intro zenon_H48. % 0.42/0.59 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49. % 0.42/0.59 generalize (axiom_3 zenon_TY_bv). zenon_intro zenon_H4b. % 0.42/0.59 apply (zenon_equiv_s _ _ zenon_H4b); [ zenon_intro zenon_H4e; zenon_intro zenon_H4d | zenon_intro zenon_H49; zenon_intro zenon_H4c ]. % 0.42/0.59 exact (zenon_H4e zenon_H49). % 0.42/0.59 generalize (rinvS_substitution_1 zenon_TY_bl). zenon_intro zenon_H4f. % 0.42/0.59 generalize (axiom_5 (i2003_11_14_17_21_15425)). zenon_intro zenon_H50. % 0.42/0.59 generalize (zenon_H50 zenon_TY_bv). zenon_intro zenon_H51. % 0.42/0.59 generalize (axiom_6 (i2003_11_14_17_21_15425)). zenon_intro zenon_H52. % 0.42/0.59 generalize (zenon_H52 zenon_TY_bu). zenon_intro zenon_H53. % 0.42/0.59 apply zenon_H4c. exists zenon_TY_bt. apply NNPP. zenon_intro zenon_H2c. % 0.42/0.59 generalize (zenon_H53 zenon_TY_bl). zenon_intro zenon_H54. % 0.42/0.59 apply (zenon_imply_s _ _ zenon_H54); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.42/0.59 apply (zenon_notand_s _ _ zenon_H56); [ zenon_intro zenon_H57 | zenon_intro zenon_H23 ]. % 0.42/0.59 exact (zenon_H57 zenon_H41). % 0.42/0.59 apply (zenon_L1_ zenon_TY_bl); trivial. % 0.42/0.59 generalize (axiom_12 (i2003_11_14_17_21_15425)). zenon_intro zenon_H58. % 0.42/0.59 generalize (zenon_H51 zenon_TY_bu). zenon_intro zenon_H59. % 0.42/0.59 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H5a | zenon_intro zenon_H2a ]. % 0.42/0.59 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H5c | zenon_intro zenon_H5b ]. % 0.42/0.59 exact (zenon_H5c zenon_H4a). % 0.42/0.59 generalize (zenon_H58 zenon_TY_bu). zenon_intro zenon_H5d. % 0.42/0.59 apply (zenon_imply_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.42/0.59 generalize (zenon_H4f zenon_TY_bu). zenon_intro zenon_H60. % 0.42/0.59 generalize (zenon_H60 (i2003_11_14_17_21_15425)). zenon_intro zenon_H61. % 0.42/0.59 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.42/0.59 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H65 | zenon_intro zenon_H64 ]. % 0.42/0.59 apply zenon_H65. apply sym_equal. exact zenon_H55. % 0.42/0.59 generalize (axiom_9 zenon_TY_bl). zenon_intro zenon_H66. % 0.42/0.59 generalize (zenon_H66 (i2003_11_14_17_21_15425)). zenon_intro zenon_H67. % 0.42/0.59 apply (zenon_equiv_s _ _ zenon_H67); [ zenon_intro zenon_H64; zenon_intro zenon_H29 | zenon_intro zenon_H68; zenon_intro zenon_H24 ]. % 0.42/0.59 exact (zenon_H29 zenon_H24). % 0.42/0.59 exact (zenon_H64 zenon_H68). % 0.42/0.59 generalize (axiom_9 zenon_TY_bu). zenon_intro zenon_H69. % 0.42/0.59 generalize (zenon_H69 (i2003_11_14_17_21_15425)). zenon_intro zenon_H6a. % 0.42/0.59 apply (zenon_equiv_s _ _ zenon_H6a); [ zenon_intro zenon_H6c; zenon_intro zenon_H5f | zenon_intro zenon_H62; zenon_intro zenon_H6b ]. % 0.42/0.59 exact (zenon_H6c zenon_H62). % 0.42/0.59 exact (zenon_H5f zenon_H6b). % 0.42/0.59 exact (zenon_H5b zenon_H5e). % 0.42/0.59 apply (zenon_L2_ zenon_TY_bt zenon_TY_bu zenon_TY_bv); trivial. % 0.42/0.59 Qed. % 0.42/0.59 % SZS output end Proof % 0.42/0.59 (* END-PROOF *) % 0.42/0.59 nodes searched: 6072 % 0.42/0.59 max branch formulas: 1668 % 0.42/0.59 proof nodes created: 759 % 0.42/0.59 formulas created: 20184 % 0.42/0.59 %------------------------------------------------------------------------------