TSTP Solution File: GEO252+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO252+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.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 0.20s 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
% 0.12/0.13 % Problem : GEO252+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n007.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 : Sat Jun 18 18:30:28 EDT 2022
% 0.14/0.35 % 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 con : (forall A : zenon_U, (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(right_apart_point B L))->((distinct_points A B)/\(left_convergent_lines (line_connecting A B) L)))))).
% 0.20/0.53 Proof.
% 0.20/0.53 apply NNPP. intro zenon_G.
% 0.20/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall L : zenon_U, (((left_apart_point A L)/\(right_apart_point B L))->((distinct_points A B)/\(left_convergent_lines (line_connecting A B) L)))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.20/0.53 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.20/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall L : zenon_U, (((left_apart_point zenon_TA_bm L)/\(right_apart_point B L))->((distinct_points zenon_TA_bm B)/\(left_convergent_lines (line_connecting zenon_TA_bm B) L))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.20/0.53 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.20/0.53 apply (zenon_notallex_s (fun L : zenon_U => (((left_apart_point zenon_TA_bm L)/\(right_apart_point zenon_TB_bp L))->((distinct_points zenon_TA_bm zenon_TB_bp)/\(left_convergent_lines (line_connecting zenon_TA_bm zenon_TB_bp) L)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.20/0.53 elim zenon_H2b. zenon_intro zenon_TL_bs. zenon_intro zenon_H2d.
% 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.20/0.53 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.20/0.53 generalize (a2_defns zenon_TB_bp). zenon_intro zenon_H32.
% 0.20/0.53 generalize (zenon_H32 zenon_TL_bs). zenon_intro zenon_H33.
% 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H30; zenon_intro zenon_H34 ].
% 0.20/0.53 exact (zenon_H36 zenon_H30).
% 0.20/0.53 generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H37.
% 0.20/0.53 generalize (zenon_H37 zenon_TL_bs). zenon_intro zenon_H38.
% 0.20/0.53 apply (zenon_notor_s _ _ zenon_H38). zenon_intro zenon_H39. zenon_intro zenon_H35.
% 0.20/0.53 exact (zenon_H35 zenon_H34).
% 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: 369
% 0.20/0.53 max branch formulas: 335
% 0.20/0.53 proof nodes created: 31
% 0.20/0.53 formulas created: 2769
% 0.20/0.53
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