%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : KRS118+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 03:39:30 EDT 2022 % Result : Unsatisfiable 79.12s 79.35s % Output : Proof 79.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : KRS118+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.11 % Command : run_zenon %s %d % 0.10/0.32 % Computer : n023.cluster.edu % 0.10/0.32 % Model : x86_64 x86_64 % 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.32 % Memory : 8042.1875MB % 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.10/0.32 % CPULimit : 300 % 0.10/0.32 % WCLimit : 600 % 0.10/0.32 % DateTime : Tue Jun 7 07:02:08 EDT 2022 % 0.10/0.32 % CPUTime : % 79.12/79.35 (* PROOF-FOUND *) % 79.12/79.35 % SZS status Unsatisfiable % 79.12/79.35 (* BEGIN-PROOF *) % 79.12/79.35 % SZS output start Proof % 79.12/79.35 Theorem zenon_thm : False. % 79.12/79.35 Proof. % 79.12/79.35 assert (zenon_L1_ : forall (zenon_TY_bi : zenon_U) (zenon_TY_bj : zenon_U), (rf zenon_TY_bj zenon_TY_bi) -> (~(rinvF zenon_TY_bi zenon_TY_bj)) -> False). % 79.12/79.35 do 2 intro. intros zenon_H20 zenon_H21. % 79.12/79.35 generalize (axiom_8 zenon_TY_bi). zenon_intro zenon_H24. % 79.12/79.35 generalize (zenon_H24 zenon_TY_bj). zenon_intro zenon_H25. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H25); [ zenon_intro zenon_H21; zenon_intro zenon_H27 | zenon_intro zenon_H26; zenon_intro zenon_H20 ]. % 79.12/79.35 exact (zenon_H27 zenon_H20). % 79.12/79.35 exact (zenon_H21 zenon_H26). % 79.12/79.35 (* end of lemma zenon_L1_ *) % 79.12/79.35 assert (zenon_L2_ : forall (zenon_TY_bj : zenon_U) (zenon_TY_bq : zenon_U), (rinvF zenon_TY_bq zenon_TY_bj) -> (~(rf zenon_TY_bj zenon_TY_bq)) -> False). % 79.12/79.35 do 2 intro. intros zenon_H28 zenon_H29. % 79.12/79.35 generalize (axiom_8 zenon_TY_bq). zenon_intro zenon_H2b. % 79.12/79.35 generalize (zenon_H2b zenon_TY_bj). zenon_intro zenon_H2c. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H2e; zenon_intro zenon_H29 | zenon_intro zenon_H28; zenon_intro zenon_H2d ]. % 79.12/79.35 exact (zenon_H2e zenon_H28). % 79.12/79.35 exact (zenon_H29 zenon_H2d). % 79.12/79.35 (* end of lemma zenon_L2_ *) % 79.12/79.35 assert (zenon_L3_ : forall (zenon_TY_bj : zenon_U), (rf zenon_TY_bj (i2003_11_14_17_21_4056)) -> (~(rinvF (i2003_11_14_17_21_4056) zenon_TY_bj)) -> False). % 79.12/79.35 do 1 intro. intros zenon_H2f zenon_H30. % 79.12/79.35 generalize (axiom_8 (i2003_11_14_17_21_4056)). zenon_intro zenon_H31. % 79.12/79.35 generalize (zenon_H31 zenon_TY_bj). zenon_intro zenon_H32. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H30; zenon_intro zenon_H34 | zenon_intro zenon_H33; zenon_intro zenon_H2f ]. % 79.12/79.35 exact (zenon_H34 zenon_H2f). % 79.12/79.35 exact (zenon_H30 zenon_H33). % 79.12/79.35 (* end of lemma zenon_L3_ *) % 79.12/79.35 assert (zenon_L4_ : (~((i2003_11_14_17_21_4056) = (i2003_11_14_17_21_4056))) -> False). % 79.12/79.35 do 0 intro. intros zenon_H35. % 79.12/79.35 apply zenon_H35. apply refl_equal. % 79.12/79.35 (* end of lemma zenon_L4_ *) % 79.12/79.35 assert (zenon_L5_ : forall (zenon_TY_bq : zenon_U) (zenon_TY_bj : zenon_U), (~(rr zenon_TY_bj zenon_TY_bq)) -> (rf zenon_TY_bj zenon_TY_bq) -> False). % 79.12/79.35 do 2 intro. intros zenon_H36 zenon_H2d. % 79.12/79.35 generalize (axiom_12 zenon_TY_bj). zenon_intro zenon_H37. % 79.12/79.35 generalize (zenon_H37 zenon_TY_bq). zenon_intro zenon_H38. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H29 | zenon_intro zenon_H39 ]. % 79.12/79.35 exact (zenon_H29 zenon_H2d). % 79.12/79.35 exact (zenon_H36 zenon_H39). % 79.12/79.35 (* end of lemma zenon_L5_ *) % 79.12/79.35 assert (zenon_L6_ : forall (zenon_TY_bj : zenon_U) (zenon_TY_bq : zenon_U), (zenon_TY_bq = (i2003_11_14_17_21_4056)) -> (~(rr zenon_TY_bj (i2003_11_14_17_21_4056))) -> (rf zenon_TY_bj zenon_TY_bq) -> False). % 79.12/79.35 do 2 intro. intros zenon_H3a zenon_H3b zenon_H2d. % 79.12/79.35 elim (classic (rr zenon_TY_bj zenon_TY_bq)); [ zenon_intro zenon_H39 | zenon_intro zenon_H36 ]. % 79.12/79.35 cut ((rr zenon_TY_bj zenon_TY_bq) = (rr zenon_TY_bj (i2003_11_14_17_21_4056))). % 79.12/79.35 intro zenon_D_pnotp. % 79.12/79.35 apply zenon_H3b. % 79.12/79.35 rewrite <- zenon_D_pnotp. % 79.12/79.35 exact zenon_H39. % 79.12/79.35 cut ((zenon_TY_bq = (i2003_11_14_17_21_4056))); [idtac | apply NNPP; zenon_intro zenon_H3c]. % 79.12/79.35 cut ((zenon_TY_bj = zenon_TY_bj)); [idtac | apply NNPP; zenon_intro zenon_H3d]. % 79.12/79.35 congruence. % 79.12/79.35 apply zenon_H3d. apply refl_equal. % 79.12/79.35 exact (zenon_H3c zenon_H3a). % 79.12/79.35 apply (zenon_L5_ zenon_TY_bq zenon_TY_bj); trivial. % 79.12/79.35 (* end of lemma zenon_L6_ *) % 79.12/79.35 assert (zenon_L7_ : forall (zenon_TY_cq : zenon_U) (zenon_TY_bj : zenon_U) (zenon_TY_cr : zenon_U) (zenon_TY_cs : zenon_U), (forall Z : zenon_U, (((rf zenon_TY_cs zenon_TY_cr)/\(rf zenon_TY_cs Z))->(zenon_TY_cr = Z))) -> (rf zenon_TY_cs zenon_TY_cr) -> (rf zenon_TY_cs zenon_TY_bj) -> (forall B : zenon_U, (forall C : zenon_U, (((zenon_TY_cr = B)/\(ra_Px1 zenon_TY_cr C))->(ra_Px1 B C)))) -> (~(ra_Px1 zenon_TY_bj zenon_TY_cq)) -> (ra_Px1 zenon_TY_cr zenon_TY_cq) -> False). % 79.12/79.35 do 4 intro. intros zenon_H3e zenon_H3f zenon_H40 zenon_H41 zenon_H42 zenon_H43. % 79.12/79.35 generalize (zenon_H3e zenon_TY_bj). zenon_intro zenon_H47. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 79.12/79.35 apply (zenon_notand_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 79.12/79.35 exact (zenon_H4b zenon_H3f). % 79.12/79.35 exact (zenon_H4a zenon_H40). % 79.12/79.35 generalize (zenon_H41 zenon_TY_bj). zenon_intro zenon_H4c. % 79.12/79.35 generalize (zenon_H4c zenon_TY_cq). zenon_intro zenon_H4d. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 79.12/79.35 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ]. % 79.12/79.35 exact (zenon_H51 zenon_H48). % 79.12/79.35 exact (zenon_H50 zenon_H43). % 79.12/79.35 exact (zenon_H42 zenon_H4e). % 79.12/79.35 (* end of lemma zenon_L7_ *) % 79.12/79.35 assert (zenon_L8_ : forall (zenon_TY_bj : zenon_U) (zenon_TY_bq : zenon_U), (forall C : zenon_U, ((((i2003_11_14_17_21_4056) = zenon_TY_bq)/\(rinvF (i2003_11_14_17_21_4056) C))->(rinvF zenon_TY_bq C))) -> (zenon_TY_bq = (i2003_11_14_17_21_4056)) -> (rf zenon_TY_bj (i2003_11_14_17_21_4056)) -> (~(exists Y : zenon_U, (ra_Px1 zenon_TY_bj Y))) -> (forall Y : zenon_U, ((rinvR (i2003_11_14_17_21_4056) Y)->(ca_Vx3 Y))) -> False). % 79.12/79.35 do 2 intro. intros zenon_H52 zenon_H3a zenon_H2f zenon_H53 zenon_H54. % 79.12/79.35 generalize (zenon_H52 zenon_TY_bj). zenon_intro zenon_H55. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_H56 | zenon_intro zenon_H28 ]. % 79.12/79.35 apply (zenon_notand_s _ _ zenon_H56); [ zenon_intro zenon_H57 | zenon_intro zenon_H30 ]. % 79.12/79.35 apply zenon_H57. apply sym_equal. exact zenon_H3a. % 79.12/79.35 apply (zenon_L3_ zenon_TY_bj); trivial. % 79.12/79.35 generalize (axiom_8 zenon_TY_bq). zenon_intro zenon_H2b. % 79.12/79.35 generalize (zenon_H2b zenon_TY_bj). zenon_intro zenon_H2c. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H2e; zenon_intro zenon_H29 | zenon_intro zenon_H28; zenon_intro zenon_H2d ]. % 79.12/79.35 exact (zenon_H2e zenon_H28). % 79.12/79.35 generalize (zenon_H54 zenon_TY_bj). zenon_intro zenon_H58. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 79.12/79.35 generalize (axiom_9 (i2003_11_14_17_21_4056)). zenon_intro zenon_H5b. % 79.12/79.35 generalize (zenon_H5b zenon_TY_bj). zenon_intro zenon_H5c. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H5c); [ zenon_intro zenon_H5a; zenon_intro zenon_H3b | zenon_intro zenon_H5e; zenon_intro zenon_H5d ]. % 79.12/79.35 apply (zenon_L6_ zenon_TY_bj zenon_TY_bq); trivial. % 79.12/79.35 exact (zenon_H5a zenon_H5e). % 79.12/79.35 generalize (axiom_6 zenon_TY_bj). zenon_intro zenon_H5f. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H5f); [ zenon_intro zenon_H62; zenon_intro zenon_H61 | zenon_intro zenon_H59; zenon_intro zenon_H60 ]. % 79.12/79.35 exact (zenon_H62 zenon_H59). % 79.12/79.35 elim zenon_H60. zenon_intro zenon_TY_cs. zenon_intro zenon_H63. % 79.12/79.35 apply (zenon_and_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 79.12/79.35 generalize (axiom_8 zenon_TY_bj). zenon_intro zenon_H66. % 79.12/79.35 generalize (zenon_H66 zenon_TY_cs). zenon_intro zenon_H67. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H67); [ zenon_intro zenon_H68; zenon_intro zenon_H4a | zenon_intro zenon_H65; zenon_intro zenon_H40 ]. % 79.12/79.35 exact (zenon_H68 zenon_H65). % 79.12/79.35 generalize (axiom_5 zenon_TY_cs). zenon_intro zenon_H69. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H69); [ zenon_intro zenon_H6c; zenon_intro zenon_H6b | zenon_intro zenon_H64; zenon_intro zenon_H6a ]. % 79.12/79.35 exact (zenon_H6c zenon_H64). % 79.12/79.35 apply (zenon_and_s _ _ zenon_H6a). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 79.12/79.35 elim zenon_H6e. zenon_intro zenon_TY_cr. zenon_intro zenon_H6f. % 79.12/79.35 apply (zenon_and_s _ _ zenon_H6f). zenon_intro zenon_H3f. zenon_intro zenon_H70. % 79.12/79.35 generalize (axiom_4 zenon_TY_cr). zenon_intro zenon_H71. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H71); [ zenon_intro zenon_H74; zenon_intro zenon_H73 | zenon_intro zenon_H70; zenon_intro zenon_H72 ]. % 79.12/79.35 exact (zenon_H74 zenon_H70). % 79.12/79.35 elim zenon_H72. zenon_intro zenon_TY_cq. zenon_intro zenon_H43. % 79.12/79.35 generalize (axiom_7 zenon_TY_cs). zenon_intro zenon_H75. % 79.12/79.35 generalize (ra_Px1_substitution_1 zenon_TY_cr). zenon_intro zenon_H41. % 79.12/79.35 generalize (zenon_H75 zenon_TY_cr). zenon_intro zenon_H3e. % 79.12/79.35 apply zenon_H53. exists zenon_TY_cq. apply NNPP. zenon_intro zenon_H42. % 79.12/79.35 apply (zenon_L7_ zenon_TY_cq zenon_TY_bj zenon_TY_cr zenon_TY_cs); trivial. % 79.12/79.35 (* end of lemma zenon_L8_ *) % 79.12/79.35 assert (zenon_L9_ : forall (zenon_TY_bj : zenon_U) (zenon_TY_bi : zenon_U), (exists Y : zenon_U, ((rinvF zenon_TY_bi Y)/\(cd Y))) -> (forall Y : zenon_U, ((rinvR (i2003_11_14_17_21_4056) Y)->(ca_Vx3 Y))) -> (~(exists Y : zenon_U, (ra_Px1 zenon_TY_bj Y))) -> (rf zenon_TY_bj (i2003_11_14_17_21_4056)) -> (rf zenon_TY_bj zenon_TY_bi) -> (forall B : zenon_U, (forall C : zenon_U, ((((i2003_11_14_17_21_4056) = B)/\(rinvF (i2003_11_14_17_21_4056) C))->(rinvF B C)))) -> (forall B : zenon_U, (forall C : zenon_U, (((zenon_TY_bi = B)/\(rinvF zenon_TY_bi C))->(rinvF B C)))) -> False). % 79.12/79.35 do 2 intro. intros zenon_H76 zenon_H54 zenon_H53 zenon_H2f zenon_H20 zenon_H77 zenon_H78. % 79.12/79.35 elim zenon_H76. zenon_intro zenon_TY_er. zenon_intro zenon_H7a. % 79.12/79.35 apply (zenon_and_s _ _ zenon_H7a). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 79.12/79.35 generalize (axiom_8 zenon_TY_bi). zenon_intro zenon_H24. % 79.12/79.35 generalize (zenon_H24 zenon_TY_er). zenon_intro zenon_H7d. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H7d); [ zenon_intro zenon_H80; zenon_intro zenon_H7f | zenon_intro zenon_H7c; zenon_intro zenon_H7e ]. % 79.12/79.35 exact (zenon_H80 zenon_H7c). % 79.12/79.35 generalize (axiom_5 zenon_TY_er). zenon_intro zenon_H81. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H81); [ zenon_intro zenon_H84; zenon_intro zenon_H83 | zenon_intro zenon_H7b; zenon_intro zenon_H82 ]. % 79.12/79.35 exact (zenon_H84 zenon_H7b). % 79.12/79.35 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H86. zenon_intro zenon_H85. % 79.12/79.35 elim zenon_H86. zenon_intro zenon_TY_bq. zenon_intro zenon_H87. % 79.12/79.35 apply (zenon_and_s _ _ zenon_H87). zenon_intro zenon_H89. zenon_intro zenon_H88. % 79.12/79.35 generalize (zenon_H78 zenon_TY_bq). zenon_intro zenon_H8a. % 79.12/79.35 generalize (axiom_7 zenon_TY_er). zenon_intro zenon_H8b. % 79.12/79.35 generalize (axiom_7 zenon_TY_bj). zenon_intro zenon_H8c. % 79.12/79.35 generalize (zenon_H8b zenon_TY_bq). zenon_intro zenon_H8d. % 79.12/79.35 generalize (zenon_H77 zenon_TY_bq). zenon_intro zenon_H52. % 79.12/79.35 generalize (zenon_H8c zenon_TY_bq). zenon_intro zenon_H8e. % 79.12/79.35 generalize (zenon_H8e (i2003_11_14_17_21_4056)). zenon_intro zenon_H8f. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H8f); [ zenon_intro zenon_H90 | zenon_intro zenon_H3a ]. % 79.12/79.35 apply (zenon_notand_s _ _ zenon_H90); [ zenon_intro zenon_H29 | zenon_intro zenon_H34 ]. % 79.12/79.35 generalize (zenon_H8d zenon_TY_bi). zenon_intro zenon_H91. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H91); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 79.12/79.35 apply (zenon_notand_s _ _ zenon_H93); [ zenon_intro zenon_H94 | zenon_intro zenon_H7f ]. % 79.12/79.35 exact (zenon_H94 zenon_H89). % 79.12/79.35 exact (zenon_H7f zenon_H7e). % 79.12/79.35 generalize (zenon_H8a zenon_TY_bj). zenon_intro zenon_H95. % 79.12/79.35 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H96 | zenon_intro zenon_H28 ]. % 79.12/79.35 apply (zenon_notand_s _ _ zenon_H96); [ zenon_intro zenon_H97 | zenon_intro zenon_H21 ]. % 79.12/79.35 apply zenon_H97. apply sym_equal. exact zenon_H92. % 79.12/79.35 apply (zenon_L1_ zenon_TY_bi zenon_TY_bj); trivial. % 79.12/79.35 apply (zenon_L2_ zenon_TY_bj zenon_TY_bq); trivial. % 79.12/79.35 exact (zenon_H34 zenon_H2f). % 79.12/79.35 apply (zenon_L8_ zenon_TY_bj zenon_TY_bq); trivial. % 79.12/79.35 (* end of lemma zenon_L9_ *) % 79.12/79.35 assert (zenon_L10_ : forall (zenon_TY_bj : zenon_U) (zenon_TY_bi : zenon_U), (cUnsatisfiable zenon_TY_bi) -> (forall B : zenon_U, (forall C : zenon_U, (((zenon_TY_bi = B)/\(rinvF zenon_TY_bi C))->(rinvF B C)))) -> (forall B : zenon_U, (forall C : zenon_U, ((((i2003_11_14_17_21_4056) = B)/\(rinvF (i2003_11_14_17_21_4056) C))->(rinvF B C)))) -> (rf zenon_TY_bj zenon_TY_bi) -> (rf zenon_TY_bj (i2003_11_14_17_21_4056)) -> (~(exists Y : zenon_U, (ra_Px1 zenon_TY_bj Y))) -> (forall Y : zenon_U, ((rinvR (i2003_11_14_17_21_4056) Y)->(ca_Vx3 Y))) -> False). % 79.12/79.35 do 2 intro. intros zenon_H98 zenon_H78 zenon_H77 zenon_H20 zenon_H2f zenon_H53 zenon_H54. % 79.12/79.35 generalize (axiom_2 zenon_TY_bi). zenon_intro zenon_H99. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_H99); [ zenon_intro zenon_H9c; zenon_intro zenon_H9b | zenon_intro zenon_H98; zenon_intro zenon_H9a ]. % 79.12/79.35 exact (zenon_H9c zenon_H98). % 79.12/79.35 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H9e. zenon_intro zenon_H9d. % 79.12/79.35 apply (zenon_and_s _ _ zenon_H9d). zenon_intro zenon_H76. zenon_intro zenon_H9f. % 79.12/79.35 apply (zenon_L9_ zenon_TY_bj zenon_TY_bi); trivial. % 79.12/79.35 (* end of lemma zenon_L10_ *) % 79.12/79.35 generalize (axiom_2 (i2003_11_14_17_21_4056)). zenon_intro zenon_Ha0. % 79.12/79.35 apply (zenon_equiv_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha3; zenon_intro zenon_Ha2 | zenon_intro axiom_11; zenon_intro zenon_Ha1 ]. % 79.12/79.35 exact (zenon_Ha3 axiom_11). % 79.12/79.35 apply (zenon_and_s _ _ zenon_Ha1). zenon_intro zenon_H54. zenon_intro zenon_Ha4. % 79.12/79.35 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Ha6. zenon_intro zenon_Ha5. % 79.12/79.35 elim zenon_Ha6. zenon_intro zenon_TY_bj. zenon_intro zenon_Ha7. % 79.12/79.36 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H33. zenon_intro zenon_Ha8. % 79.12/79.36 generalize (axiom_8 (i2003_11_14_17_21_4056)). zenon_intro zenon_H31. % 79.12/79.36 generalize (zenon_H31 zenon_TY_bj). zenon_intro zenon_H32. % 79.12/79.36 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H30; zenon_intro zenon_H34 | zenon_intro zenon_H33; zenon_intro zenon_H2f ]. % 79.12/79.36 exact (zenon_H30 zenon_H33). % 79.12/79.36 generalize (axiom_5 zenon_TY_bj). zenon_intro zenon_Ha9. % 79.12/79.36 apply (zenon_equiv_s _ _ zenon_Ha9); [ zenon_intro zenon_Hac; zenon_intro zenon_Hab | zenon_intro zenon_Ha8; zenon_intro zenon_Haa ]. % 79.12/79.36 exact (zenon_Hac zenon_Ha8). % 79.12/79.36 apply (zenon_and_s _ _ zenon_Haa). zenon_intro zenon_Hae. zenon_intro zenon_Had. % 79.12/79.36 elim zenon_Hae. zenon_intro zenon_TY_bi. zenon_intro zenon_Haf. % 79.12/79.36 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H20. zenon_intro zenon_H9f. % 79.12/79.36 generalize (axiom_3 zenon_TY_bj). zenon_intro zenon_Hb0. % 79.12/79.36 apply (zenon_equiv_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb2; zenon_intro zenon_Hb1 | zenon_intro zenon_Had; zenon_intro zenon_H53 ]. % 79.12/79.36 exact (zenon_Hb2 zenon_Had). % 79.12/79.36 generalize (rinvF_substitution_1 (i2003_11_14_17_21_4056)). zenon_intro zenon_H77. % 79.12/79.36 generalize (rinvF_substitution_1 zenon_TY_bi). zenon_intro zenon_H78. % 79.12/79.36 generalize (cUnsatisfiable_substitution_1 (i2003_11_14_17_21_4056)). zenon_intro zenon_Hb3. % 79.12/79.36 generalize (axiom_7 zenon_TY_bj). zenon_intro zenon_H8c. % 79.12/79.36 generalize (zenon_H8c (i2003_11_14_17_21_4056)). zenon_intro zenon_Hb4. % 79.12/79.36 generalize (zenon_Hb3 zenon_TY_bi). zenon_intro zenon_Hb5. % 79.12/79.36 apply (zenon_imply_s _ _ zenon_Hb5); [ zenon_intro zenon_Hb6 | zenon_intro zenon_H98 ]. % 79.12/79.36 apply (zenon_notand_s _ _ zenon_Hb6); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Ha3 ]. % 79.12/79.36 generalize (zenon_Hb4 zenon_TY_bi). zenon_intro zenon_Hb8. % 79.12/79.36 apply (zenon_imply_s _ _ zenon_Hb8); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 79.12/79.36 apply (zenon_notand_s _ _ zenon_Hba); [ zenon_intro zenon_H34 | zenon_intro zenon_H27 ]. % 79.12/79.36 exact (zenon_H34 zenon_H2f). % 79.12/79.36 exact (zenon_H27 zenon_H20). % 79.12/79.36 exact (zenon_Hb7 zenon_Hb9). % 79.12/79.36 generalize (axiom_2 (i2003_11_14_17_21_4056)). zenon_intro zenon_Ha0. % 79.12/79.36 apply (zenon_equiv_s _ _ zenon_Ha0); [ zenon_intro zenon_Ha3; zenon_intro zenon_Ha2 | zenon_intro axiom_11; zenon_intro zenon_Ha1 ]. % 79.12/79.36 exact (zenon_Ha2 zenon_Ha1). % 79.12/79.36 exact (zenon_Ha3 axiom_11). % 79.12/79.36 apply (zenon_L10_ zenon_TY_bj zenon_TY_bi); trivial. % 79.12/79.36 Qed. % 79.12/79.36 % SZS output end Proof % 79.12/79.36 (* END-PROOF *) % 79.12/79.36 nodes searched: 9569916 % 79.12/79.36 max branch formulas: 47408 % 79.12/79.36 proof nodes created: 194534 % 79.12/79.36 formulas created: 8128541 % 79.12/79.36 %------------------------------------------------------------------------------