TSTP Solution File: KRS111+1 by Zenon---0.7.1
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% 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 :
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%----WARNING: Could not form TPTP format derivation
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%----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
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