TSTP Solution File: GEO251+3 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO251+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.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 : Sat Jul 16 07:01:20 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO251+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 12:57:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50 (* PROOF-FOUND *)
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 (* BEGIN-PROOF *)
% 0.19/0.50 % SZS output start Proof
% 0.19/0.50 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, ((right_apart_point B (parallel_through_point L A))->(left_apart_point A (parallel_through_point L B)))))).
% 0.19/0.50 Proof.
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, ((right_apart_point B (parallel_through_point L A))->(left_apart_point A (parallel_through_point L B)))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.19/0.50 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.19/0.50 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, ((right_apart_point B (parallel_through_point L zenon_TA_bm))->(left_apart_point zenon_TA_bm (parallel_through_point L B))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.19/0.50 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.19/0.50 apply (zenon_notallex_s (fun L : zenon_U => ((right_apart_point zenon_TB_bp (parallel_through_point L zenon_TA_bm))->(left_apart_point zenon_TA_bm (parallel_through_point L zenon_TB_bp)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.19/0.50 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d.
% 0.19/0.50 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.19/0.50 generalize (a2_defns zenon_TB_bp). zenon_intro zenon_H30.
% 0.19/0.50 generalize (zenon_H30 (parallel_through_point zenon_TL_bs zenon_TA_bm)). zenon_intro zenon_H31.
% 0.19/0.50 apply (zenon_equiv_s _ _ zenon_H31); [ zenon_intro zenon_H34; zenon_intro zenon_H33 | zenon_intro zenon_H2f; zenon_intro zenon_H32 ].
% 0.19/0.50 exact (zenon_H34 zenon_H2f).
% 0.19/0.50 generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H35.
% 0.19/0.50 generalize (zenon_H35 (parallel_through_point zenon_TL_bs zenon_TA_bm)). zenon_intro zenon_H36.
% 0.19/0.50 apply (zenon_notor_s _ _ zenon_H36). zenon_intro zenon_H37. zenon_intro zenon_H33.
% 0.19/0.50 exact (zenon_H33 zenon_H32).
% 0.19/0.50 Qed.
% 0.19/0.50 % SZS output end Proof
% 0.19/0.50 (* END-PROOF *)
% 0.19/0.50 nodes searched: 243
% 0.19/0.50 max branch formulas: 263
% 0.19/0.50 proof nodes created: 13
% 0.19/0.50 formulas created: 2279
% 0.19/0.50
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