TSTP Solution File: LCL527+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : LCL527+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n017.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 16:22:17 EDT 2022
% Result : Theorem 0.12s 0.42s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : LCL527+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.09 % Command : run_zenon %s %d
% 0.08/0.28 % Computer : n017.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Sun Jul 3 13:50:11 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.42 (* PROOF-FOUND *)
% 0.12/0.42 % SZS status Theorem
% 0.12/0.42 (* BEGIN-PROOF *)
% 0.12/0.42 % SZS output start Proof
% 0.12/0.42 Theorem s1_0_adjunction : (adjunction).
% 0.12/0.42 Proof.
% 0.12/0.42 apply NNPP. intro zenon_G.
% 0.12/0.42 apply (zenon_equiv_s _ _ modus_ponens); [ zenon_intro zenon_H57; zenon_intro zenon_H56 | zenon_intro hilbert_modus_ponens; zenon_intro zenon_H55 ].
% 0.12/0.42 exact (zenon_H57 hilbert_modus_ponens).
% 0.12/0.42 apply (zenon_equiv_s _ _ and_3); [ zenon_intro zenon_H5a; zenon_intro zenon_H59 | zenon_intro hilbert_and_3; zenon_intro zenon_H58 ].
% 0.12/0.42 exact (zenon_H5a hilbert_and_3).
% 0.12/0.42 apply (zenon_equiv_s _ _ adjunction); [ zenon_intro zenon_G; zenon_intro zenon_H5d | zenon_intro zenon_H5c; zenon_intro zenon_H5b ].
% 0.12/0.42 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (((is_a_theorem X)/\(is_a_theorem Y))->(is_a_theorem (and X Y))))) zenon_H5d); [ zenon_intro zenon_H5e; idtac ].
% 0.12/0.42 elim zenon_H5e. zenon_intro zenon_TX_dr. zenon_intro zenon_H60.
% 0.12/0.42 apply (zenon_notallex_s (fun Y : zenon_U => (((is_a_theorem zenon_TX_dr)/\(is_a_theorem Y))->(is_a_theorem (and zenon_TX_dr Y)))) zenon_H60); [ zenon_intro zenon_H61; idtac ].
% 0.12/0.42 elim zenon_H61. zenon_intro zenon_TY_du. zenon_intro zenon_H63.
% 0.12/0.42 apply (zenon_notimply_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64.
% 0.12/0.42 apply (zenon_and_s _ _ zenon_H65). zenon_intro zenon_H67. zenon_intro zenon_H66.
% 0.12/0.42 generalize (zenon_H55 zenon_TY_du). zenon_intro zenon_H68.
% 0.12/0.42 generalize (zenon_H55 zenon_TX_dr). zenon_intro zenon_H69.
% 0.12/0.42 generalize (zenon_H68 (and zenon_TX_dr zenon_TY_du)). zenon_intro zenon_H6a.
% 0.12/0.42 apply (zenon_imply_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ].
% 0.12/0.42 apply (zenon_notand_s _ _ zenon_H6c); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 0.12/0.42 exact (zenon_H6e zenon_H66).
% 0.12/0.42 generalize (zenon_H58 zenon_TX_dr). zenon_intro zenon_H6f.
% 0.12/0.42 generalize (zenon_H6f zenon_TY_du). zenon_intro zenon_H70.
% 0.12/0.42 generalize (zenon_H69 (implies zenon_TY_du (and zenon_TX_dr zenon_TY_du))). zenon_intro zenon_H71.
% 0.12/0.42 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H73 | zenon_intro zenon_H72 ].
% 0.12/0.42 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ].
% 0.12/0.42 exact (zenon_H75 zenon_H67).
% 0.12/0.42 exact (zenon_H74 zenon_H70).
% 0.12/0.42 exact (zenon_H6d zenon_H72).
% 0.12/0.42 exact (zenon_H64 zenon_H6b).
% 0.12/0.42 exact (zenon_G zenon_H5c).
% 0.12/0.42 Qed.
% 0.12/0.42 % SZS output end Proof
% 0.12/0.42 (* END-PROOF *)
% 0.12/0.42 nodes searched: 1317
% 0.12/0.42 max branch formulas: 839
% 0.12/0.42 proof nodes created: 97
% 0.12/0.42 formulas created: 8883
% 0.12/0.42
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