TSTP Solution File: KRS266+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS266+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n024.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 03:39:53 EDT 2022
% Result : Theorem 0.43s 0.60s
% Output : Proof 0.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS266+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.11/0.33 % Computer : n024.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Tue Jun 7 10:35:50 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.43/0.60 (* PROOF-FOUND *)
% 0.43/0.60 % SZS status Theorem
% 0.43/0.60 (* BEGIN-PROOF *)
% 0.43/0.60 % SZS output start Proof
% 0.43/0.60 Theorem mighta_sca_thm : (mighta (sca) (thm)).
% 0.43/0.60 Proof.
% 0.43/0.60 assert (zenon_L1_ : forall (zenon_TF_bl : zenon_U) (zenon_TF_bm : zenon_U), (~(status zenon_TF_bm zenon_TF_bl (sca))) -> (~(exists I2 : zenon_U, (model I2 zenon_TF_bm))) -> (exists I1 : zenon_U, (model I1 zenon_TF_bl)) -> False).
% 0.43/0.60 do 2 intro. intros zenon_H22 zenon_H23 zenon_H24.
% 0.43/0.60 generalize (sca zenon_TF_bm). zenon_intro zenon_H27.
% 0.43/0.60 generalize (zenon_H27 zenon_TF_bl). zenon_intro zenon_H28.
% 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H28); [ zenon_intro zenon_H2b; zenon_intro zenon_H22 | zenon_intro zenon_H2a; zenon_intro zenon_H29 ].
% 0.43/0.60 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.43/0.60 exact (zenon_H2d zenon_H23).
% 0.43/0.60 exact (zenon_H2c zenon_H24).
% 0.43/0.60 exact (zenon_H22 zenon_H29).
% 0.43/0.60 (* end of lemma zenon_L1_ *)
% 0.43/0.60 apply NNPP. intro zenon_G.
% 0.43/0.60 elim satisfiable. zenon_intro zenon_TF_bl. zenon_intro zenon_H2e.
% 0.43/0.60 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H24. zenon_intro zenon_H2f.
% 0.43/0.60 elim contradiction. zenon_intro zenon_TF_bm. zenon_intro zenon_H30.
% 0.43/0.60 generalize (mighta (sca)). zenon_intro zenon_H31.
% 0.43/0.60 generalize (zenon_H31 (thm)). zenon_intro zenon_H32.
% 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H35; zenon_intro zenon_G | zenon_intro zenon_H34; zenon_intro zenon_H33 ].
% 0.43/0.60 apply zenon_H35. exists zenon_TF_bm. apply NNPP. zenon_intro zenon_H36.
% 0.43/0.60 generalize (thm zenon_TF_bm). zenon_intro zenon_H37.
% 0.43/0.60 generalize (zenon_H37 zenon_TF_bl). zenon_intro zenon_H38.
% 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3c; zenon_intro zenon_H3b | zenon_intro zenon_H3a; zenon_intro zenon_H39 ].
% 0.43/0.60 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bm)->(model I1 zenon_TF_bl))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ].
% 0.43/0.60 elim zenon_H3d. zenon_intro zenon_TI1_ck. zenon_intro zenon_H3f.
% 0.43/0.60 apply (zenon_notimply_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 0.43/0.60 generalize (zenon_H30 zenon_TI1_ck). zenon_intro zenon_H42.
% 0.43/0.60 exact (zenon_H42 zenon_H41).
% 0.43/0.60 apply zenon_H36. exists zenon_TF_bl. apply NNPP. zenon_intro zenon_H43.
% 0.43/0.60 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H22 | zenon_intro zenon_H3b ].
% 0.43/0.60 generalize (cax zenon_TF_bm). zenon_intro zenon_H0.
% 0.43/0.60 generalize (zenon_H0 zenon_E). zenon_intro zenon_H44.
% 0.43/0.60 apply (zenon_equiv_s _ _ zenon_H44); [ zenon_intro zenon_H2d; zenon_intro zenon_H46 | zenon_intro zenon_H23; zenon_intro zenon_H45 ].
% 0.43/0.60 apply zenon_H2d. zenon_intro zenon_H47.
% 0.43/0.60 elim zenon_H47. zenon_intro zenon_TI2_cu. zenon_intro zenon_H49.
% 0.43/0.60 generalize (zenon_H30 zenon_TI2_cu). zenon_intro zenon_H4a.
% 0.43/0.60 exact (zenon_H4a zenon_H49).
% 0.43/0.60 apply (zenon_L1_ zenon_TF_bl zenon_TF_bm); trivial.
% 0.43/0.60 exact (zenon_H3b zenon_H39).
% 0.43/0.60 exact (zenon_G zenon_H33).
% 0.43/0.60 Qed.
% 0.43/0.60 % SZS output end Proof
% 0.43/0.60 (* END-PROOF *)
% 0.43/0.60 nodes searched: 5018
% 0.43/0.60 max branch formulas: 1567
% 0.43/0.60 proof nodes created: 289
% 0.43/0.60 formulas created: 30861
% 0.43/0.60
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