%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.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 03:39:26 EDT 2022 % Result : Unsatisfiable 0.47s 0.63s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : KRS098+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n023.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Tue Jun 7 20:27:38 EDT 2022 % 0.12/0.32 % CPUTime : % 0.47/0.63 (* PROOF-FOUND *) % 0.47/0.63 % SZS status Unsatisfiable % 0.47/0.63 (* BEGIN-PROOF *) % 0.47/0.63 % SZS output start Proof % 0.47/0.63 Theorem zenon_thm : False. % 0.47/0.63 Proof. % 0.47/0.63 assert (zenon_L1_ : forall (zenon_TY_bp : zenon_U), (~(rr (i2003_11_14_17_20_25524) zenon_TY_bp)) -> (rr2 (i2003_11_14_17_20_25524) zenon_TY_bp) -> False). % 0.47/0.63 do 1 intro. intros zenon_H27 zenon_H28. % 0.47/0.63 generalize (axiom_9 (i2003_11_14_17_20_25524)). zenon_intro zenon_H2a. % 0.47/0.63 generalize (zenon_H2a zenon_TY_bp). zenon_intro zenon_H2b. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.47/0.63 exact (zenon_H2d zenon_H28). % 0.47/0.63 exact (zenon_H27 zenon_H2c). % 0.47/0.63 (* end of lemma zenon_L1_ *) % 0.47/0.63 assert (zenon_L2_ : forall (zenon_TZ_bx : zenon_U) (zenon_TY_bp : zenon_U) (zenon_TY_by : zenon_U), (zenon_TY_by = zenon_TY_bp) -> (rtt zenon_TY_bp zenon_TZ_bx) -> (~(rtt zenon_TY_by zenon_TZ_bx)) -> False). % 0.47/0.63 do 3 intro. intros zenon_H2e zenon_H2f zenon_H30. % 0.47/0.63 generalize (rtt_substitution_1 zenon_TY_bp). zenon_intro zenon_H33. % 0.47/0.63 generalize (zenon_H33 zenon_TY_by). zenon_intro zenon_H34. % 0.47/0.63 generalize (zenon_H34 zenon_TZ_bx). zenon_intro zenon_H35. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ]. % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ]. % 0.47/0.63 apply zenon_H39. apply sym_equal. exact zenon_H2e. % 0.47/0.63 exact (zenon_H38 zenon_H2f). % 0.47/0.63 exact (zenon_H30 zenon_H36). % 0.47/0.63 (* end of lemma zenon_L2_ *) % 0.47/0.63 assert (zenon_L3_ : forall (zenon_TY_by : zenon_U) (zenon_TY_bp : zenon_U) (zenon_TZ_bx : zenon_U), (forall B : zenon_U, (forall C : zenon_U, (((zenon_TZ_bx = B)/\(rtt C zenon_TZ_bx))->(rtt C B)))) -> (rt2 zenon_TY_bp zenon_TZ_bx) -> (~(rtt zenon_TY_by zenon_TZ_bx)) -> (rr2 (i2003_11_14_17_20_25524) zenon_TY_bp) -> (rr3 (i2003_11_14_17_20_25524) zenon_TY_by) -> (~(exists Y1 : zenon_U, ((rr (i2003_11_14_17_20_25524) zenon_TY_by)/\((rr (i2003_11_14_17_20_25524) Y1)/\(~(zenon_TY_by = Y1)))))) -> False). % 0.47/0.63 do 3 intro. intros zenon_H3a zenon_H3b zenon_H30 zenon_H28 zenon_H3c zenon_H3d. % 0.47/0.63 generalize (zenon_H3a zenon_TZ_bx). zenon_intro zenon_H3e. % 0.47/0.63 apply zenon_H3d. exists zenon_TY_bp. apply NNPP. zenon_intro zenon_H3f. % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H3f); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ]. % 0.47/0.63 generalize (axiom_12 (i2003_11_14_17_20_25524)). zenon_intro zenon_H42. % 0.47/0.63 generalize (zenon_H42 zenon_TY_by). zenon_intro zenon_H43. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ]. % 0.47/0.63 exact (zenon_H45 zenon_H3c). % 0.47/0.63 exact (zenon_H41 zenon_H44). % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H40); [ zenon_intro zenon_H27 | zenon_intro zenon_H46 ]. % 0.47/0.63 apply (zenon_L1_ zenon_TY_bp); trivial. % 0.47/0.63 apply zenon_H46. zenon_intro zenon_H2e. % 0.47/0.63 generalize (axiom_11 zenon_TY_bp). zenon_intro zenon_H47. % 0.47/0.63 generalize (zenon_H3e zenon_TY_bp). zenon_intro zenon_H48. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H49 | zenon_intro zenon_H2f ]. % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_H4a | zenon_intro zenon_H38 ]. % 0.47/0.63 apply zenon_H4a. apply refl_equal. % 0.47/0.63 generalize (zenon_H47 zenon_TZ_bx). zenon_intro zenon_H4b. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4c | zenon_intro zenon_H2f ]. % 0.47/0.63 exact (zenon_H4c zenon_H3b). % 0.47/0.63 exact (zenon_H38 zenon_H2f). % 0.47/0.63 apply (zenon_L2_ zenon_TZ_bx zenon_TY_bp zenon_TY_by); trivial. % 0.47/0.63 (* end of lemma zenon_L3_ *) % 0.47/0.63 generalize (axiom_2 (i2003_11_14_17_20_25524)). zenon_intro zenon_H4d. % 0.47/0.63 apply (zenon_equiv_s _ _ zenon_H4d); [ zenon_intro zenon_H50; zenon_intro zenon_H4f | zenon_intro axiom_4; zenon_intro zenon_H4e ]. % 0.47/0.63 exact (zenon_H50 axiom_4). % 0.47/0.63 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_H52. zenon_intro zenon_H51. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H54. zenon_intro zenon_H53. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_H56. zenon_intro zenon_H55. % 0.47/0.63 elim zenon_H52. zenon_intro zenon_TY_by. zenon_intro zenon_H57. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H57). zenon_intro zenon_H3c. zenon_intro zenon_H58. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H58). zenon_intro zenon_H5a. zenon_intro zenon_H59. % 0.47/0.63 elim zenon_H5a. zenon_intro zenon_TZ_dn. zenon_intro zenon_H5c. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H5c). zenon_intro zenon_H5e. zenon_intro zenon_H5d. % 0.47/0.63 elim zenon_H54. zenon_intro zenon_TY_bp. zenon_intro zenon_H5f. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H5f). zenon_intro zenon_H28. zenon_intro zenon_H60. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H60). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.47/0.63 elim zenon_H61. zenon_intro zenon_TZ_bx. zenon_intro zenon_H63. % 0.47/0.63 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H3b. zenon_intro zenon_H64. % 0.47/0.63 generalize (axiom_7 zenon_TZ_bx). zenon_intro zenon_H65. % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.47/0.63 generalize (zenon_H59 zenon_TZ_dn). zenon_intro zenon_H68. % 0.47/0.63 generalize (ce_substitution_1 zenon_TZ_dn). zenon_intro zenon_H69. % 0.47/0.63 generalize (rtt_substitution_2 zenon_TZ_bx). zenon_intro zenon_H3a. % 0.47/0.63 generalize (zenon_H68 zenon_TZ_bx). zenon_intro zenon_H6a. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H6c); [ zenon_intro zenon_H6d | zenon_intro zenon_H30 ]. % 0.47/0.63 generalize (axiom_13 zenon_TY_by). zenon_intro zenon_H6e. % 0.47/0.63 generalize (zenon_H6e zenon_TZ_dn). zenon_intro zenon_H6f. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.47/0.63 exact (zenon_H71 zenon_H5e). % 0.47/0.63 exact (zenon_H6d zenon_H70). % 0.47/0.63 apply zenon_H56. exists zenon_TY_by. apply NNPP. zenon_intro zenon_H3d. % 0.47/0.63 apply (zenon_L3_ zenon_TY_by zenon_TY_bp zenon_TZ_bx); trivial. % 0.47/0.63 generalize (zenon_H69 zenon_TZ_bx). zenon_intro zenon_H72. % 0.47/0.63 apply (zenon_imply_s _ _ zenon_H72); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 0.47/0.63 apply (zenon_notand_s _ _ zenon_H74); [ zenon_intro zenon_H76 | zenon_intro zenon_H75 ]. % 0.47/0.63 exact (zenon_H76 zenon_H6b). % 0.47/0.63 exact (zenon_H75 zenon_H5d). % 0.47/0.63 exact (zenon_H67 zenon_H73). % 0.47/0.63 exact (zenon_H66 zenon_H64). % 0.47/0.63 Qed. % 0.47/0.63 % SZS output end Proof % 0.47/0.63 (* END-PROOF *) % 0.47/0.63 nodes searched: 10118 % 0.47/0.63 max branch formulas: 1325 % 0.47/0.63 proof nodes created: 765 % 0.47/0.63 formulas created: 22378 % 0.47/0.63 %------------------------------------------------------------------------------