%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n025.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 03:39:31 EDT 2022 % Result : Unsatisfiable 233.68s 233.95s % Output : Proof 233.78s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : KRS121+1 : TPTP v8.1.0. Released v3.1.0. % 0.10/0.12 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n025.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 Jun 7 07:20:48 EDT 2022 % 0.13/0.34 % CPUTime : % 233.68/233.95 (* PROOF-FOUND *) % 233.68/233.95 % SZS status Unsatisfiable % 233.68/233.95 (* BEGIN-PROOF *) % 233.68/233.95 % SZS output start Proof % 233.68/233.95 Theorem zenon_thm : False. % 233.68/233.95 Proof. % 233.68/233.95 assert (zenon_L1_ : (cp1xcomp (i2003_11_14_17_21_5199)) -> (~(exists Y : zenon_U, (ra_Px1 (i2003_11_14_17_21_5199) Y))) -> False). % 233.68/233.95 do 0 intro. intros zenon_H1f zenon_H20. % 233.68/233.95 generalize (axiom_4 (i2003_11_14_17_21_5199)). zenon_intro zenon_H21. % 233.68/233.95 apply (zenon_equiv_s _ _ zenon_H21); [ zenon_intro zenon_H23; zenon_intro zenon_H20 | zenon_intro zenon_H1f; zenon_intro zenon_H22 ]. % 233.68/233.95 exact (zenon_H23 zenon_H1f). % 233.68/233.95 exact (zenon_H20 zenon_H22). % 233.68/233.95 (* end of lemma zenon_L1_ *) % 233.68/233.95 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((rr x y)->((rr y z)->(rr x z))))))); [ zenon_intro zenon_H24 | zenon_intro zenon_H25 ]. % 233.68/233.95 generalize (axiom_2 (i2003_11_14_17_21_5199)). zenon_intro zenon_H26. % 233.68/233.95 apply (zenon_equiv_s _ _ zenon_H26); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro axiom_11; zenon_intro zenon_H27 ]. % 233.68/233.95 exact (zenon_H29 axiom_11). % 233.68/233.95 apply (zenon_and_s _ _ zenon_H27). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 233.68/233.95 elim zenon_H2b. zenon_intro zenon_TY_bs. zenon_intro zenon_H2d. % 233.68/233.95 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 233.68/233.95 generalize (axiom_6 zenon_TY_bs). zenon_intro zenon_H30. % 233.68/233.95 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H33; zenon_intro zenon_H32 | zenon_intro zenon_H2e; zenon_intro zenon_H31 ]. % 233.68/233.95 exact (zenon_H33 zenon_H2e). % 233.68/233.95 elim zenon_H31. zenon_intro zenon_TY_ca. zenon_intro zenon_H35. % 233.68/233.95 apply (zenon_and_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 233.68/233.95 generalize (axiom_5 zenon_TY_ca). zenon_intro zenon_H38. % 233.68/233.95 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3b; zenon_intro zenon_H3a | zenon_intro zenon_H36; zenon_intro zenon_H39 ]. % 233.68/233.95 exact (zenon_H3b zenon_H36). % 233.68/233.95 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 233.68/233.95 generalize (axiom_3 (i2003_11_14_17_21_5199)). zenon_intro zenon_H3e. % 233.68/233.95 apply (zenon_equiv_s _ _ zenon_H3e); [ zenon_intro zenon_H40; zenon_intro zenon_H3f | zenon_intro zenon_H2a; zenon_intro zenon_H20 ]. % 233.68/233.95 exact (zenon_H40 zenon_H2a). % 233.68/233.95 generalize (rinvR_substitution_1 zenon_TY_ca). zenon_intro zenon_H41. % 233.68/233.95 generalize (zenon_H41 zenon_TY_ca). zenon_intro zenon_H42. % 233.68/233.95 generalize (zenon_H42 (i2003_11_14_17_21_5199)). zenon_intro zenon_H43. % 233.68/233.95 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 233.68/233.95 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 233.68/233.95 apply zenon_H47. apply refl_equal. % 233.68/233.95 generalize (axiom_9 zenon_TY_ca). zenon_intro zenon_H48. % 233.68/233.95 generalize (zenon_H48 (i2003_11_14_17_21_5199)). zenon_intro zenon_H49. % 233.68/233.95 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H46; zenon_intro zenon_H4b | zenon_intro zenon_H44; zenon_intro zenon_H4a ]. % 233.68/233.95 elim (classic ((~((i2003_11_14_17_21_5199) = zenon_TY_bs))/\(~(rr (i2003_11_14_17_21_5199) zenon_TY_bs)))); [ zenon_intro zenon_H4c | zenon_intro zenon_H4d ]. % 233.68/233.95 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 233.68/233.95 exact (zenon_H4e zenon_H2f). % 233.68/233.95 cut ((rr zenon_TY_bs zenon_TY_ca) = (rr (i2003_11_14_17_21_5199) zenon_TY_ca)). % 233.68/233.95 intro zenon_D_pnotp. % 233.68/233.95 apply zenon_H4b. % 233.68/233.95 rewrite <- zenon_D_pnotp. % 233.68/233.95 exact zenon_H37. % 233.68/233.95 cut ((zenon_TY_ca = zenon_TY_ca)); [idtac | apply NNPP; zenon_intro zenon_H47]. % 233.68/233.95 cut ((zenon_TY_bs = (i2003_11_14_17_21_5199))); [idtac | apply NNPP; zenon_intro zenon_H50]. % 233.68/233.95 congruence. % 233.68/233.95 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ]. % 233.68/233.95 apply zenon_H52. zenon_intro zenon_H53. % 233.68/233.95 elim (classic ((i2003_11_14_17_21_5199) = (i2003_11_14_17_21_5199))); [ zenon_intro zenon_H54 | zenon_intro zenon_H55 ]. % 233.68/233.95 cut (((i2003_11_14_17_21_5199) = (i2003_11_14_17_21_5199)) = (zenon_TY_bs = (i2003_11_14_17_21_5199))). % 233.68/233.95 intro zenon_D_pnotp. % 233.68/233.95 apply zenon_H50. % 233.68/233.95 rewrite <- zenon_D_pnotp. % 233.68/233.95 exact zenon_H54. % 233.68/233.95 cut (((i2003_11_14_17_21_5199) = (i2003_11_14_17_21_5199))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 233.68/233.95 cut (((i2003_11_14_17_21_5199) = zenon_TY_bs)); [idtac | apply NNPP; zenon_intro zenon_H4f]. % 233.68/233.95 congruence. % 233.68/233.95 exact (zenon_H4f zenon_H53). % 233.68/233.95 apply zenon_H55. apply refl_equal. % 233.78/234.02 apply zenon_H55. apply refl_equal. % 233.78/234.02 apply zenon_H51. zenon_intro zenon_H2f. % 233.78/234.02 generalize (zenon_H24 (i2003_11_14_17_21_5199)). zenon_intro zenon_H56. % 233.78/234.02 generalize (zenon_H56 zenon_TY_bs). zenon_intro zenon_H57. % 233.78/234.02 generalize (zenon_H57 zenon_TY_ca). zenon_intro zenon_H58. % 233.78/234.02 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H4e | zenon_intro zenon_H59 ]. % 233.78/234.02 exact (zenon_H4e zenon_H2f). % 233.78/234.02 apply (zenon_imply_s _ _ zenon_H59); [ zenon_intro zenon_H5a | zenon_intro zenon_H4a ]. % 233.78/234.02 exact (zenon_H5a zenon_H37). % 233.78/234.02 exact (zenon_H4b zenon_H4a). % 233.78/234.02 apply zenon_H47. apply refl_equal. % 233.78/234.02 exact (zenon_H46 zenon_H44). % 233.78/234.02 generalize (axiom_9 zenon_TY_ca). zenon_intro zenon_H48. % 233.78/234.02 generalize (zenon_H48 (i2003_11_14_17_21_5199)). zenon_intro zenon_H49. % 233.78/234.02 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H46; zenon_intro zenon_H4b | zenon_intro zenon_H44; zenon_intro zenon_H4a ]. % 233.78/234.02 exact (zenon_H46 zenon_H44). % 233.78/234.02 generalize (zenon_H3c (i2003_11_14_17_21_5199)). zenon_intro zenon_H5b. % 233.78/234.02 apply (zenon_imply_s _ _ zenon_H5b); [ zenon_intro zenon_H46 | zenon_intro zenon_H1f ]. % 233.78/234.02 generalize (axiom_9 zenon_TY_ca). zenon_intro zenon_H48. % 233.78/234.02 generalize (zenon_H48 (i2003_11_14_17_21_5199)). zenon_intro zenon_H49. % 233.78/234.02 apply (zenon_equiv_s _ _ zenon_H49); [ zenon_intro zenon_H46; zenon_intro zenon_H4b | zenon_intro zenon_H44; zenon_intro zenon_H4a ]. % 233.78/234.02 exact (zenon_H4b zenon_H4a). % 233.78/234.02 exact (zenon_H46 zenon_H44). % 233.78/234.02 apply (zenon_L1_); trivial. % 233.78/234.02 apply zenon_H25. zenon_intro zenon_Tx_do. apply NNPP. zenon_intro zenon_H5d. % 233.78/234.02 apply zenon_H5d. zenon_intro zenon_Ty_dq. apply NNPP. zenon_intro zenon_H5f. % 233.78/234.02 apply zenon_H5f. zenon_intro zenon_Tz_ds. apply NNPP. zenon_intro zenon_H61. % 233.78/234.02 apply (zenon_notimply_s _ _ zenon_H61). zenon_intro zenon_H63. zenon_intro zenon_H62. % 233.78/234.02 apply (zenon_notimply_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64. % 233.78/234.02 generalize (axiom_10 zenon_Tx_do). zenon_intro zenon_H66. % 233.78/234.02 generalize (zenon_H66 zenon_Ty_dq). zenon_intro zenon_H67. % 233.78/234.02 generalize (zenon_H67 zenon_Tz_ds). zenon_intro zenon_H68. % 233.78/234.02 apply (zenon_imply_s _ _ zenon_H68); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 233.78/234.02 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 233.78/234.02 exact (zenon_H6c zenon_H63). % 233.78/234.02 exact (zenon_H6b zenon_H65). % 233.78/234.02 exact (zenon_H64 zenon_H69). % 233.78/234.02 Qed. % 233.78/234.02 % SZS output end Proof % 233.78/234.02 (* END-PROOF *) % 233.78/234.02 nodes searched: 38322473 % 233.78/234.02 max branch formulas: 130740 % 233.78/234.02 proof nodes created: 75217 % 233.78/234.02 formulas created: 10282687 % 233.78/234.02 %------------------------------------------------------------------------------