TSTP Solution File: SWV412+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% 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 : Wed Jul 20 23:04:15 EDT 2022
% Result : Theorem 0.20s 0.53s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SWV412+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 15 21:12:59 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.53 (* PROOF-FOUND *)
% 0.20/0.53 % SZS status Theorem
% 0.20/0.53 (* BEGIN-PROOF *)
% 0.20/0.53 % SZS output start Proof
% 0.20/0.53 Theorem l48_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list U V W)/\((strictly_less_than V X)/\(strictly_less_than W X)))->(pair_in_list (update_slb U X) V X)))))).
% 0.20/0.53 Proof.
% 0.20/0.53 apply NNPP. intro zenon_G.
% 0.20/0.53 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list U V W)/\((strictly_less_than V X)/\(strictly_less_than W X)))->(pair_in_list (update_slb U X) V X)))))) zenon_G); [ zenon_intro zenon_H14; idtac ].
% 0.20/0.53 elim zenon_H14. zenon_intro zenon_TU_v. zenon_intro zenon_H16.
% 0.20/0.53 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list zenon_TU_v V W)/\((strictly_less_than V X)/\(strictly_less_than W X)))->(pair_in_list (update_slb zenon_TU_v X) V X))))) zenon_H16); [ zenon_intro zenon_H17; idtac ].
% 0.20/0.53 elim zenon_H17. zenon_intro zenon_TV_y. zenon_intro zenon_H19.
% 0.20/0.53 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (((pair_in_list zenon_TU_v zenon_TV_y W)/\((strictly_less_than zenon_TV_y X)/\(strictly_less_than W X)))->(pair_in_list (update_slb zenon_TU_v X) zenon_TV_y X)))) zenon_H19); [ zenon_intro zenon_H1a; idtac ].
% 0.20/0.53 elim zenon_H1a. zenon_intro zenon_TW_bb. zenon_intro zenon_H1c.
% 0.20/0.53 apply (zenon_notallex_s (fun X : zenon_U => (((pair_in_list zenon_TU_v zenon_TV_y zenon_TW_bb)/\((strictly_less_than zenon_TV_y X)/\(strictly_less_than zenon_TW_bb X)))->(pair_in_list (update_slb zenon_TU_v X) zenon_TV_y X))) zenon_H1c); [ zenon_intro zenon_H1d; idtac ].
% 0.20/0.53 elim zenon_H1d. zenon_intro zenon_TX_be. zenon_intro zenon_H1f.
% 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H1f). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.20/0.53 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 0.20/0.53 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24.
% 0.20/0.53 generalize (stricly_smaller_definition zenon_TW_bb). zenon_intro zenon_H26.
% 0.20/0.53 generalize (zenon_H26 zenon_TX_be). zenon_intro zenon_H27.
% 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H24; zenon_intro zenon_H28 ].
% 0.20/0.53 exact (zenon_H2a zenon_H24).
% 0.20/0.53 generalize (l48_li3839 zenon_TU_v). zenon_intro zenon_H2b.
% 0.20/0.53 generalize (zenon_H2b zenon_TV_y). zenon_intro zenon_H2c.
% 0.20/0.53 generalize (zenon_H2c zenon_TW_bb). zenon_intro zenon_H2d.
% 0.20/0.53 generalize (zenon_H2d zenon_TX_be). zenon_intro zenon_H2e.
% 0.20/0.53 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.20/0.53 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H31 | zenon_intro zenon_H2a ].
% 0.20/0.53 exact (zenon_H31 zenon_H23).
% 0.20/0.53 generalize (stricly_smaller_definition zenon_TW_bb). zenon_intro zenon_H26.
% 0.20/0.53 generalize (zenon_H26 zenon_TX_be). zenon_intro zenon_H27.
% 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H27); [ zenon_intro zenon_H2a; zenon_intro zenon_H29 | zenon_intro zenon_H24; zenon_intro zenon_H28 ].
% 0.20/0.53 exact (zenon_H29 zenon_H28).
% 0.20/0.53 exact (zenon_H2a zenon_H24).
% 0.20/0.53 exact (zenon_H20 zenon_H2f).
% 0.20/0.53 Qed.
% 0.20/0.53 % SZS output end Proof
% 0.20/0.53 (* END-PROOF *)
% 0.20/0.53 nodes searched: 595
% 0.20/0.53 max branch formulas: 307
% 0.20/0.53 proof nodes created: 57
% 0.20/0.53 formulas created: 2719
% 0.20/0.53
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