%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 03:39:28 EDT 2022 % Result : Unsatisfiable 0.49s 0.68s % Output : Proof 0.49s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : KRS109+1 : TPTP v8.1.0. Released v3.1.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n027.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 13:55:40 EDT 2022 % 0.12/0.33 % CPUTime : % 0.49/0.68 (* PROOF-FOUND *) % 0.49/0.68 % SZS status Unsatisfiable % 0.49/0.68 (* BEGIN-PROOF *) % 0.49/0.68 % SZS output start Proof % 0.49/0.68 Theorem zenon_thm : False. % 0.49/0.68 Proof. % 0.49/0.68 assert (zenon_L1_ : forall (zenon_TY_bp : zenon_U), (rf (i2003_11_14_17_21_08508) zenon_TY_bp) -> (~(rinvF zenon_TY_bp (i2003_11_14_17_21_08508))) -> False). % 0.49/0.68 do 1 intro. intros zenon_H27 zenon_H28. % 0.49/0.68 generalize (axiom_9 zenon_TY_bp). zenon_intro zenon_H2a. % 0.49/0.68 generalize (zenon_H2a (i2003_11_14_17_21_08508)). zenon_intro zenon_H2b. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H28; zenon_intro zenon_H2d | zenon_intro zenon_H2c; zenon_intro zenon_H27 ]. % 0.49/0.68 exact (zenon_H2d zenon_H27). % 0.49/0.68 exact (zenon_H28 zenon_H2c). % 0.49/0.68 (* end of lemma zenon_L1_ *) % 0.49/0.68 assert (zenon_L2_ : forall (zenon_TY_bp : zenon_U), (ca_Vx3 (i2003_11_14_17_21_08508)) -> (~(rs (i2003_11_14_17_21_08508) zenon_TY_bp)) -> (rf (i2003_11_14_17_21_08508) zenon_TY_bp) -> (forall Y : zenon_U, (forall Z : zenon_U, (((rf (i2003_11_14_17_21_08508) Y)/\(rf (i2003_11_14_17_21_08508) Z))->(Y = Z)))) -> False). % 0.49/0.68 do 1 intro. intros zenon_H2e zenon_H2f zenon_H27 zenon_H30. % 0.49/0.68 generalize (axiom_6 (i2003_11_14_17_21_08508)). zenon_intro zenon_H31. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro zenon_H2e; zenon_intro zenon_H32 ]. % 0.49/0.68 exact (zenon_H34 zenon_H2e). % 0.49/0.68 elim zenon_H32. zenon_intro zenon_TY_cb. zenon_intro zenon_H36. % 0.49/0.68 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.49/0.68 generalize (rs_substitution_2 zenon_TY_cb). zenon_intro zenon_H39. % 0.49/0.68 generalize (zenon_H30 zenon_TY_cb). zenon_intro zenon_H3a. % 0.49/0.68 generalize (zenon_H39 zenon_TY_bp). zenon_intro zenon_H3b. % 0.49/0.68 generalize (zenon_H3a zenon_TY_bp). zenon_intro zenon_H3c. % 0.49/0.68 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ]. % 0.49/0.68 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H2d ]. % 0.49/0.68 generalize (axiom_14 (i2003_11_14_17_21_08508)). zenon_intro zenon_H40. % 0.49/0.68 generalize (zenon_H40 zenon_TY_cb). zenon_intro zenon_H41. % 0.49/0.68 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.49/0.68 exact (zenon_H43 zenon_H38). % 0.49/0.68 exact (zenon_H3f zenon_H42). % 0.49/0.68 exact (zenon_H2d zenon_H27). % 0.49/0.68 generalize (zenon_H3b (i2003_11_14_17_21_08508)). zenon_intro zenon_H44. % 0.49/0.68 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ]. % 0.49/0.68 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H47 | zenon_intro zenon_H43 ]. % 0.49/0.68 exact (zenon_H47 zenon_H3d). % 0.49/0.68 exact (zenon_H43 zenon_H38). % 0.49/0.68 exact (zenon_H2f zenon_H45). % 0.49/0.68 (* end of lemma zenon_L2_ *) % 0.49/0.68 assert (zenon_L3_ : (cp (i2003_11_14_17_21_08508)) -> (exists Y : zenon_U, (ra_Px1 (i2003_11_14_17_21_08508) Y)) -> False). % 0.49/0.68 do 0 intro. intros zenon_H48 zenon_H49. % 0.49/0.68 generalize (axiom_3 (i2003_11_14_17_21_08508)). zenon_intro zenon_H4a. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H4a); [ zenon_intro zenon_H4d; zenon_intro zenon_H4c | zenon_intro zenon_H48; zenon_intro zenon_H4b ]. % 0.49/0.68 exact (zenon_H4d zenon_H48). % 0.49/0.68 exact (zenon_H4b zenon_H49). % 0.49/0.68 (* end of lemma zenon_L3_ *) % 0.49/0.68 generalize (axiom_2 (i2003_11_14_17_21_08508)). zenon_intro zenon_H4e. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H51; zenon_intro zenon_H50 | zenon_intro axiom_13; zenon_intro zenon_H4f ]. % 0.49/0.68 exact (zenon_H51 axiom_13). % 0.49/0.68 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.49/0.68 generalize (axiom_4 (i2003_11_14_17_21_08508)). zenon_intro zenon_H54. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H54); [ zenon_intro zenon_H55; zenon_intro zenon_H4b | zenon_intro zenon_H53; zenon_intro zenon_H49 ]. % 0.49/0.68 exact (zenon_H55 zenon_H53). % 0.49/0.68 elim zenon_H52. zenon_intro zenon_TY_bp. zenon_intro zenon_H56. % 0.49/0.68 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H27. zenon_intro zenon_H57. % 0.49/0.68 generalize (axiom_5 zenon_TY_bp). zenon_intro zenon_H58. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H58); [ zenon_intro zenon_H5b; zenon_intro zenon_H5a | zenon_intro zenon_H57; zenon_intro zenon_H59 ]. % 0.49/0.68 exact (zenon_H5b zenon_H57). % 0.49/0.68 apply (zenon_and_s _ _ zenon_H59). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.49/0.68 generalize (axiom_7 (i2003_11_14_17_21_08508)). zenon_intro zenon_H30. % 0.49/0.68 generalize (zenon_H5d (i2003_11_14_17_21_08508)). zenon_intro zenon_H5e. % 0.49/0.68 apply (zenon_imply_s _ _ zenon_H5e); [ zenon_intro zenon_H5f | zenon_intro zenon_H48 ]. % 0.49/0.68 generalize (axiom_11 zenon_TY_bp). zenon_intro zenon_H60. % 0.49/0.68 generalize (zenon_H60 (i2003_11_14_17_21_08508)). zenon_intro zenon_H61. % 0.49/0.68 apply (zenon_equiv_s _ _ zenon_H61); [ zenon_intro zenon_H5f; zenon_intro zenon_H2f | zenon_intro zenon_H62; zenon_intro zenon_H45 ]. % 0.49/0.68 generalize (zenon_H5c (i2003_11_14_17_21_08508)). zenon_intro zenon_H63. % 0.49/0.68 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_H28 | zenon_intro zenon_H2e ]. % 0.49/0.68 apply (zenon_L1_ zenon_TY_bp); trivial. % 0.49/0.68 apply (zenon_L2_ zenon_TY_bp); trivial. % 0.49/0.68 exact (zenon_H5f zenon_H62). % 0.49/0.68 apply (zenon_L3_); trivial. % 0.49/0.68 Qed. % 0.49/0.68 % SZS output end Proof % 0.49/0.68 (* END-PROOF *) % 0.49/0.68 nodes searched: 10302 % 0.49/0.68 max branch formulas: 2718 % 0.49/0.68 proof nodes created: 675 % 0.49/0.68 formulas created: 39975 % 0.49/0.68 %------------------------------------------------------------------------------