TSTP Solution File: KRS200+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 03:39:45 EDT 2022
% Result : Theorem 37.45s 37.66s
% Output : Proof 37.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS200+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n025.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 14:24:04 EDT 2022
% 0.12/0.34 % CPUTime :
% 37.45/37.66 (* PROOF-FOUND *)
% 37.45/37.66 % SZS status Theorem
% 37.45/37.66 (* BEGIN-PROOF *)
% 37.45/37.66 % SZS output start Proof
% 37.45/37.66 Theorem nota_unp_thm : (nota (unp) (thm)).
% 37.45/37.66 Proof.
% 37.45/37.66 assert (zenon_L1_ : forall (zenon_TAx_bl : zenon_U) (zenon_TC_bm : zenon_U), (~(exists Ax : zenon_U, (exists C : zenon_U, ((status Ax C (unp))/\(~(status Ax C (thm))))))) -> (~(status zenon_TC_bm zenon_TAx_bl (thm))) -> (exists I1 : zenon_U, (model I1 zenon_TC_bm)) -> False).
% 37.45/37.66 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24.
% 37.45/37.66 apply zenon_H22. exists zenon_TC_bm. apply NNPP. zenon_intro zenon_H27.
% 37.45/37.66 apply zenon_H27. exists zenon_TAx_bl. apply NNPP. zenon_intro zenon_H28.
% 37.45/37.66 apply (zenon_notand_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 37.45/37.66 generalize (unp zenon_TC_bm). zenon_intro zenon_H2b.
% 37.45/37.66 generalize (zenon_H2b zenon_TAx_bl). zenon_intro zenon_H2c.
% 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H2f; zenon_intro zenon_H2a | zenon_intro zenon_H2e; zenon_intro zenon_H2d ].
% 37.45/37.66 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 37.45/37.66 exact (zenon_H31 zenon_H24).
% 37.45/37.66 exact (zenon_H2a zenon_H2d).
% 37.45/37.66 exact (zenon_H29 zenon_H23).
% 37.45/37.66 (* end of lemma zenon_L1_ *)
% 37.45/37.66 assert (zenon_L2_ : forall (zenon_TI3_cb : zenon_U) (zenon_TAx_bl : zenon_U) (zenon_TC_bm : zenon_U), (forall I1 : zenon_U, ((model I1 zenon_TC_bm)->(model I1 zenon_TAx_bl))) -> (model zenon_TI3_cb zenon_TC_bm) -> (~(model zenon_TI3_cb zenon_TAx_bl)) -> False).
% 37.45/37.66 do 3 intro. intros zenon_H32 zenon_H33 zenon_H34.
% 37.45/37.66 generalize (zenon_H32 zenon_TI3_cb). zenon_intro zenon_H36.
% 37.45/37.66 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H38 | zenon_intro zenon_H37 ].
% 37.45/37.66 exact (zenon_H38 zenon_H33).
% 37.45/37.66 exact (zenon_H34 zenon_H37).
% 37.45/37.66 (* end of lemma zenon_L2_ *)
% 37.45/37.66 assert (zenon_L3_ : forall (zenon_TC_bm : zenon_U) (zenon_TAx_bl : zenon_U) (zenon_TI3_cb : zenon_U), (~(model zenon_TI3_cb zenon_TAx_bl)) -> (model zenon_TI3_cb zenon_TC_bm) -> (exists I1 : zenon_U, (model I1 zenon_TC_bm)) -> (~(exists Ax : zenon_U, (exists C : zenon_U, ((status Ax C (unp))/\(~(status Ax C (thm))))))) -> False).
% 37.45/37.66 do 3 intro. intros zenon_H34 zenon_H33 zenon_H24 zenon_H22.
% 37.45/37.66 generalize (thm zenon_TC_bm). zenon_intro zenon_H39.
% 37.45/37.66 generalize (zenon_H39 zenon_TAx_bl). zenon_intro zenon_H3a.
% 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H3a); [ zenon_intro zenon_H3c; zenon_intro zenon_H23 | zenon_intro zenon_H32; zenon_intro zenon_H3b ].
% 37.45/37.66 apply (zenon_L1_ zenon_TAx_bl zenon_TC_bm); trivial.
% 37.45/37.66 apply (zenon_L2_ zenon_TI3_cb zenon_TAx_bl zenon_TC_bm); trivial.
% 37.45/37.66 (* end of lemma zenon_L3_ *)
% 37.45/37.66 assert (zenon_L4_ : forall (zenon_TI3_cb : zenon_U) (zenon_TC_bm : zenon_U), (~(exists I1 : zenon_U, (model I1 zenon_TC_bm))) -> (model zenon_TI3_cb zenon_TC_bm) -> False).
% 37.45/37.66 do 2 intro. intros zenon_H31 zenon_H33.
% 37.45/37.66 apply zenon_H31. exists zenon_TI3_cb. apply NNPP. zenon_intro zenon_H38.
% 37.45/37.66 exact (zenon_H38 zenon_H33).
% 37.45/37.66 (* end of lemma zenon_L4_ *)
% 37.45/37.66 apply NNPP. intro zenon_G.
% 37.45/37.66 elim mixed_pair. zenon_intro zenon_TAx_bl. zenon_intro zenon_H3d.
% 37.45/37.66 elim zenon_H3d. zenon_intro zenon_TC_bm. zenon_intro zenon_H3e.
% 37.45/37.66 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 37.45/37.66 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41.
% 37.45/37.66 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 37.45/37.66 elim zenon_H44. zenon_intro zenon_TI3_cb. zenon_intro zenon_H45.
% 37.45/37.66 apply (zenon_and_s _ _ zenon_H45). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 37.45/37.66 generalize (nota (unp)). zenon_intro zenon_H46.
% 37.45/37.66 generalize (zenon_H46 (thm)). zenon_intro zenon_H47.
% 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H47); [ zenon_intro zenon_H22; zenon_intro zenon_G | zenon_intro zenon_H49; zenon_intro zenon_H48 ].
% 37.45/37.66 generalize (cax zenon_TC_bm). zenon_intro zenon_H0.
% 37.45/37.66 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4a.
% 37.45/37.66 apply (zenon_equiv_s _ _ zenon_H4a); [ zenon_intro zenon_H4d; zenon_intro zenon_H4c | zenon_intro zenon_H31; zenon_intro zenon_H4b ].
% 37.45/37.66 apply zenon_H4d. zenon_intro zenon_H24.
% 37.45/37.66 apply (zenon_L3_ zenon_TC_bm zenon_TAx_bl zenon_TI3_cb); trivial.
% 37.45/37.66 apply (zenon_L4_ zenon_TI3_cb zenon_TC_bm); trivial.
% 37.45/37.66 exact (zenon_G zenon_H48).
% 37.45/37.66 Qed.
% 37.45/37.66 % SZS output end Proof
% 37.45/37.66 (* END-PROOF *)
% 37.45/37.66 nodes searched: 1819457
% 37.45/37.66 max branch formulas: 15800
% 37.45/37.66 proof nodes created: 98445
% 37.45/37.66 formulas created: 4545725
% 37.45/37.66
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