TSTP Solution File: KRS255+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : KRS255+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 0.55s 0.75s
% Output : Proof 0.55s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : KRS255+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.14/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n028.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jun 7 07:04:29 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.55/0.75 (* PROOF-FOUND *)
% 0.55/0.75 % SZS status Theorem
% 0.55/0.75 (* BEGIN-PROOF *)
% 0.55/0.75 % SZS output start Proof
% 0.55/0.75 Theorem mighta_sap_thm : (mighta (sap) (thm)).
% 0.55/0.75 Proof.
% 0.55/0.75 assert (zenon_L1_ : forall (zenon_TC_bj : zenon_U) (zenon_TF_bk : zenon_U), (~(forall I1 : zenon_U, ((model I1 zenon_TF_bk)->(model I1 zenon_TC_bj)))) -> (forall I : zenon_U, (~(model I zenon_TF_bk))) -> False).
% 0.55/0.75 do 2 intro. intros zenon_H21 zenon_H22.
% 0.55/0.75 apply (zenon_notallex_s (fun I1 : zenon_U => ((model I1 zenon_TF_bk)->(model I1 zenon_TC_bj))) zenon_H21); [ zenon_intro zenon_H25; idtac ].
% 0.55/0.75 elim zenon_H25. zenon_intro zenon_TI1_bm. zenon_intro zenon_H27.
% 0.55/0.75 apply (zenon_notimply_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.55/0.75 generalize (zenon_H22 zenon_TI1_bm). zenon_intro zenon_H2a.
% 0.55/0.75 exact (zenon_H2a zenon_H29).
% 0.55/0.75 (* end of lemma zenon_L1_ *)
% 0.55/0.75 assert (zenon_L2_ : forall (zenon_TI1_bt : zenon_U) (zenon_TC_bj : zenon_U), (~(exists I1 : zenon_U, (model I1 zenon_TC_bj))) -> (model zenon_TI1_bt zenon_TC_bj) -> False).
% 0.55/0.75 do 2 intro. intros zenon_H2b zenon_H2c.
% 0.55/0.75 apply zenon_H2b. exists zenon_TI1_bt. apply NNPP. zenon_intro zenon_H2e.
% 0.55/0.75 exact (zenon_H2e zenon_H2c).
% 0.55/0.75 (* end of lemma zenon_L2_ *)
% 0.55/0.75 apply NNPP. intro zenon_G.
% 0.55/0.75 elim contradiction. zenon_intro zenon_TF_bk. zenon_intro zenon_H22.
% 0.55/0.75 elim sat_non_taut_pair. zenon_intro zenon_TAx_bv. zenon_intro zenon_H30.
% 0.55/0.75 elim zenon_H30. zenon_intro zenon_TC_bj. zenon_intro zenon_H31.
% 0.55/0.75 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 0.55/0.75 elim zenon_H33. zenon_intro zenon_TI1_bt. zenon_intro zenon_H34.
% 0.55/0.75 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H35. zenon_intro zenon_H2c.
% 0.55/0.75 generalize (mighta (sap)). zenon_intro zenon_H36.
% 0.55/0.75 generalize (zenon_H36 (thm)). zenon_intro zenon_H37.
% 0.55/0.75 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_G | zenon_intro zenon_H39; zenon_intro zenon_H38 ].
% 0.55/0.75 apply zenon_H3a. exists zenon_TF_bk. apply NNPP. zenon_intro zenon_H3b.
% 0.55/0.75 generalize (thm zenon_TF_bk). zenon_intro zenon_H3c.
% 0.55/0.75 generalize (zenon_H3c zenon_TC_bj). zenon_intro zenon_H3d.
% 0.55/0.75 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H21; zenon_intro zenon_H40 | zenon_intro zenon_H3f; zenon_intro zenon_H3e ].
% 0.55/0.75 apply (zenon_L1_ zenon_TC_bj zenon_TF_bk); trivial.
% 0.55/0.75 apply zenon_H3b. exists zenon_TC_bj. apply NNPP. zenon_intro zenon_H41.
% 0.55/0.75 apply (zenon_notand_s _ _ zenon_H41); [ zenon_intro zenon_H42 | zenon_intro zenon_H40 ].
% 0.55/0.75 generalize (sap zenon_TF_bk). zenon_intro zenon_H43.
% 0.55/0.75 generalize (zenon_H43 zenon_TC_bj). zenon_intro zenon_H44.
% 0.55/0.75 apply (zenon_equiv_s _ _ zenon_H44); [ zenon_intro zenon_H47; zenon_intro zenon_H42 | zenon_intro zenon_H46; zenon_intro zenon_H45 ].
% 0.55/0.75 apply (zenon_notimply_s _ _ zenon_H47). zenon_intro zenon_H48. zenon_intro zenon_H2b.
% 0.55/0.75 apply (zenon_L2_ zenon_TI1_bt zenon_TC_bj); trivial.
% 0.55/0.75 exact (zenon_H42 zenon_H45).
% 0.55/0.75 exact (zenon_H40 zenon_H3e).
% 0.55/0.75 exact (zenon_G zenon_H38).
% 0.55/0.75 Qed.
% 0.55/0.75 % SZS output end Proof
% 0.55/0.75 (* END-PROOF *)
% 0.55/0.75 nodes searched: 8187
% 0.55/0.75 max branch formulas: 1675
% 0.55/0.75 proof nodes created: 488
% 0.55/0.75 formulas created: 46004
% 0.55/0.75
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