TSTP Solution File: KRS256+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS256+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 03:39:52 EDT 2022
% Result : Theorem 11.10s 11.33s
% Output : Proof 11.10s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS256+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jun 7 19:24:21 EDT 2022
% 0.12/0.34 % CPUTime :
% 11.10/11.33 (* PROOF-FOUND *)
% 11.10/11.33 % SZS status Theorem
% 11.10/11.33 (* BEGIN-PROOF *)
% 11.10/11.33 % SZS output start Proof
% 11.10/11.33 Theorem mighta_esa_thm : (mighta (esa) (thm)).
% 11.10/11.33 Proof.
% 11.10/11.33 assert (zenon_L1_ : forall (zenon_TAx_bj : zenon_U), (~(forall I1 : zenon_U, ((model I1 zenon_TAx_bj)->(model I1 zenon_TAx_bj)))) -> False).
% 11.10/11.33 do 1 intro. intros zenon_H22.
% 11.10/11.33 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TAx_bj)->(model I1 zenon_TAx_bj))) zenon_H22); [ zenon_intro zenon_H24; idtac ].
% 11.10/11.33 elim zenon_H24. zenon_intro zenon_TI1_bl. zenon_intro zenon_H26.
% 11.10/11.33 apply (zenon_notimply_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 11.10/11.33 exact (zenon_H27 zenon_H28).
% 11.10/11.33 (* end of lemma zenon_L1_ *)
% 11.10/11.33 assert (zenon_L2_ : forall (zenon_TF_br : zenon_U), (~(~(exists I2 : zenon_U, (model I2 zenon_TF_br)))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_br))) -> False).
% 11.10/11.33 do 1 intro. intros zenon_H29 zenon_H2a.
% 11.10/11.33 exact (zenon_H29 zenon_H2a).
% 11.10/11.33 (* end of lemma zenon_L2_ *)
% 11.10/11.33 assert (zenon_L3_ : forall (zenon_TAx_bj : zenon_U) (zenon_TI1_bu : zenon_U) (zenon_TF_br : zenon_U), (~(exists I2 : zenon_U, (model I2 zenon_TF_br))) -> (model zenon_TI1_bu zenon_TAx_bj) -> (~(exists C : zenon_U, ((status zenon_TAx_bj C (esa))/\(status zenon_TAx_bj C (thm))))) -> False).
% 11.10/11.33 do 3 intro. intros zenon_H2a zenon_H2c zenon_H2d.
% 11.10/11.33 generalize (unp zenon_TF_br). zenon_intro zenon_H2f.
% 11.10/11.33 generalize (zenon_H2f zenon_TAx_bj). zenon_intro zenon_H30.
% 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H30); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro zenon_H32; zenon_intro zenon_H31 ].
% 11.10/11.33 apply (zenon_notimply_s _ _ zenon_H34). zenon_intro zenon_H2a. zenon_intro zenon_H35.
% 11.10/11.33 apply zenon_H35. zenon_intro zenon_H36.
% 11.10/11.33 generalize (thm zenon_TAx_bj). zenon_intro zenon_H37.
% 11.10/11.33 generalize (zenon_H37 zenon_TAx_bj). zenon_intro zenon_H38.
% 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H22; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H39 ].
% 11.10/11.33 apply (zenon_L1_ zenon_TAx_bj); trivial.
% 11.10/11.33 generalize (esa zenon_TAx_bj). zenon_intro zenon_H3c.
% 11.10/11.33 apply zenon_H2d. exists zenon_TAx_bj. apply NNPP. zenon_intro zenon_H3d.
% 11.10/11.33 apply (zenon_notand_s _ _ zenon_H3d); [ zenon_intro zenon_H3e | zenon_intro zenon_H3b ].
% 11.10/11.33 generalize (zenon_H3c zenon_TAx_bj). zenon_intro zenon_H3f.
% 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H3f); [ zenon_intro zenon_H42; zenon_intro zenon_H3e | zenon_intro zenon_H41; zenon_intro zenon_H40 ].
% 11.10/11.33 apply (zenon_notequiv_s _ _ zenon_H42); [ zenon_intro zenon_H43; zenon_intro zenon_H36 | zenon_intro zenon_H36; zenon_intro zenon_H43 ].
% 11.10/11.33 exact (zenon_H43 zenon_H36).
% 11.10/11.33 exact (zenon_H43 zenon_H36).
% 11.10/11.33 exact (zenon_H3e zenon_H40).
% 11.10/11.33 exact (zenon_H3b zenon_H39).
% 11.10/11.33 apply (zenon_imply_s _ _ zenon_H32); [ zenon_intro zenon_H29 | zenon_intro zenon_H43 ].
% 11.10/11.33 exact (zenon_H29 zenon_H2a).
% 11.10/11.33 apply zenon_H43. exists zenon_TI1_bu. apply NNPP. zenon_intro zenon_H44.
% 11.10/11.33 exact (zenon_H44 zenon_H2c).
% 11.10/11.33 (* end of lemma zenon_L3_ *)
% 11.10/11.33 apply NNPP. intro zenon_G.
% 11.10/11.33 elim contradiction. zenon_intro zenon_TF_br. zenon_intro zenon_H45.
% 11.10/11.33 elim sat_non_taut_pair. zenon_intro zenon_TAx_bj. zenon_intro zenon_H46.
% 11.10/11.33 elim zenon_H46. zenon_intro zenon_TC_ct. zenon_intro zenon_H48.
% 11.10/11.33 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49.
% 11.10/11.33 elim zenon_H4a. zenon_intro zenon_TI1_bu. zenon_intro zenon_H4b.
% 11.10/11.33 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H2c. zenon_intro zenon_H4c.
% 11.10/11.33 generalize (mighta (esa)). zenon_intro zenon_H4d.
% 11.10/11.33 generalize (zenon_H4d (thm)). zenon_intro zenon_H4e.
% 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H4e); [ zenon_intro zenon_H51; zenon_intro zenon_G | zenon_intro zenon_H50; zenon_intro zenon_H4f ].
% 11.10/11.33 apply zenon_H51. exists zenon_TAx_bj. apply NNPP. zenon_intro zenon_H2d.
% 11.10/11.33 generalize (cax zenon_TF_br). zenon_intro zenon_H0.
% 11.10/11.33 generalize (zenon_H0 zenon_E). zenon_intro zenon_H52.
% 11.10/11.33 apply (zenon_equiv_s _ _ zenon_H52); [ zenon_intro zenon_H29; zenon_intro zenon_H54 | zenon_intro zenon_H2a; zenon_intro zenon_H53 ].
% 11.10/11.33 apply zenon_H29. zenon_intro zenon_H55.
% 11.10/11.33 elim zenon_H55. zenon_intro zenon_TI2_di. zenon_intro zenon_H57.
% 11.10/11.33 generalize (zenon_H45 zenon_TI2_di). zenon_intro zenon_H58.
% 11.10/11.33 exact (zenon_H58 zenon_H57).
% 11.10/11.33 apply (zenon_L3_ zenon_TAx_bj zenon_TI1_bu zenon_TF_br); trivial.
% 11.10/11.34 exact (zenon_G zenon_H4f).
% 11.10/11.34 Qed.
% 11.10/11.34 % SZS output end Proof
% 11.10/11.34 (* END-PROOF *)
% 11.10/11.34 nodes searched: 332652
% 11.10/11.34 max branch formulas: 24109
% 11.10/11.34 proof nodes created: 15621
% 11.10/11.34 formulas created: 951488
% 11.10/11.34
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