TSTP Solution File: KRS201+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 51.56s 51.78s
% Output : Proof 51.56s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS201+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.08/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 11:34:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 51.56/51.78 (* PROOF-FOUND *)
% 51.56/51.78 % SZS status Theorem
% 51.56/51.78 (* BEGIN-PROOF *)
% 51.56/51.78 % SZS output start Proof
% 51.56/51.78 Theorem nota_sap_thm : (nota (sap) (thm)).
% 51.56/51.78 Proof.
% 51.56/51.78 assert (zenon_L1_ : forall (zenon_TAx_bj : zenon_U) (zenon_TC_bk : zenon_U), (~(~(status zenon_TC_bk zenon_TAx_bj (thm)))) -> (~(status zenon_TC_bk zenon_TAx_bj (thm))) -> False).
% 51.56/51.78 do 2 intro. intros zenon_H21 zenon_H22.
% 51.56/51.78 exact (zenon_H21 zenon_H22).
% 51.56/51.78 (* end of lemma zenon_L1_ *)
% 51.56/51.78 assert (zenon_L2_ : forall (zenon_TAx_bj : zenon_U) (zenon_TC_bk : zenon_U), (~(exists Ax : zenon_U, (exists C : zenon_U, ((status Ax C (sap))/\(~(status Ax C (thm))))))) -> (~(status zenon_TC_bk zenon_TAx_bj (thm))) -> (exists I1 : zenon_U, (model I1 zenon_TAx_bj)) -> (forall C : zenon_U, (((exists I1 : zenon_U, (model I1 zenon_TC_bk))->(exists I2 : zenon_U, (model I2 C)))<->(status zenon_TC_bk C (sap)))) -> False).
% 51.56/51.78 do 2 intro. intros zenon_H25 zenon_H22 zenon_H26 zenon_H27.
% 51.56/51.78 apply zenon_H25. exists zenon_TC_bk. apply NNPP. zenon_intro zenon_H28.
% 51.56/51.78 apply zenon_H28. exists zenon_TAx_bj. apply NNPP. zenon_intro zenon_H29.
% 51.56/51.78 apply (zenon_notand_s _ _ zenon_H29); [ zenon_intro zenon_H2a | zenon_intro zenon_H21 ].
% 51.56/51.78 generalize (zenon_H27 zenon_TAx_bj). zenon_intro zenon_H2b.
% 51.56/51.78 apply (zenon_equiv_s _ _ zenon_H2b); [ zenon_intro zenon_H2e; zenon_intro zenon_H2a | zenon_intro zenon_H2d; zenon_intro zenon_H2c ].
% 51.56/51.78 apply (zenon_notimply_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 51.56/51.78 exact (zenon_H2f zenon_H26).
% 51.56/51.78 exact (zenon_H2a zenon_H2c).
% 51.56/51.78 exact (zenon_H21 zenon_H22).
% 51.56/51.78 (* end of lemma zenon_L2_ *)
% 51.56/51.78 assert (zenon_L3_ : forall (zenon_TI3_ca : zenon_U) (zenon_TAx_bj : zenon_U) (zenon_TC_bk : zenon_U), (forall I1 : zenon_U, ((model I1 zenon_TC_bk)->(model I1 zenon_TAx_bj))) -> (model zenon_TI3_ca zenon_TC_bk) -> (~(model zenon_TI3_ca zenon_TAx_bj)) -> False).
% 51.56/51.78 do 3 intro. intros zenon_H31 zenon_H32 zenon_H33.
% 51.56/51.78 generalize (zenon_H31 zenon_TI3_ca). zenon_intro zenon_H35.
% 51.56/51.78 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 51.56/51.78 exact (zenon_H37 zenon_H32).
% 51.56/51.78 exact (zenon_H33 zenon_H36).
% 51.56/51.78 (* end of lemma zenon_L3_ *)
% 51.56/51.78 apply NNPP. intro zenon_G.
% 51.56/51.78 elim mixed_pair. zenon_intro zenon_TAx_bj. zenon_intro zenon_H38.
% 51.56/51.78 elim zenon_H38. zenon_intro zenon_TC_bk. zenon_intro zenon_H39.
% 51.56/51.78 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H26. zenon_intro zenon_H3a.
% 51.56/51.78 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 51.56/51.78 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 51.56/51.78 elim zenon_H3e. zenon_intro zenon_TI3_ca. zenon_intro zenon_H3f.
% 51.56/51.78 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 51.56/51.78 generalize (nota (sap)). zenon_intro zenon_H40.
% 51.56/51.78 generalize (zenon_H40 (thm)). zenon_intro zenon_H41.
% 51.56/51.78 apply (zenon_equiv_s _ _ zenon_H41); [ zenon_intro zenon_H25; zenon_intro zenon_G | zenon_intro zenon_H43; zenon_intro zenon_H42 ].
% 51.56/51.78 generalize (thm zenon_TC_bk). zenon_intro zenon_H44.
% 51.56/51.78 generalize (sap zenon_TC_bk). zenon_intro zenon_H27.
% 51.56/51.78 generalize (zenon_H44 zenon_TAx_bj). zenon_intro zenon_H45.
% 51.56/51.78 apply (zenon_equiv_s _ _ zenon_H45); [ zenon_intro zenon_H47; zenon_intro zenon_H22 | zenon_intro zenon_H31; zenon_intro zenon_H46 ].
% 51.56/51.78 apply (zenon_L2_ zenon_TAx_bj zenon_TC_bk); trivial.
% 51.56/51.78 apply (zenon_L3_ zenon_TI3_ca zenon_TAx_bj zenon_TC_bk); trivial.
% 51.56/51.78 exact (zenon_G zenon_H42).
% 51.56/51.78 Qed.
% 51.56/51.78 % SZS output end Proof
% 51.56/51.78 (* END-PROOF *)
% 51.56/51.78 nodes searched: 2244303
% 51.56/51.78 max branch formulas: 15853
% 51.56/51.78 proof nodes created: 129288
% 51.56/51.78 formulas created: 5634781
% 51.56/51.78
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