TSTP Solution File: GEO185+2 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n009.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 07:00:31 EDT 2022
% Result : Theorem 0.19s 0.51s
% 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
% 0.03/0.12 % Problem : GEO185+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 18:05:07 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51 (* PROOF-FOUND *)
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 (* BEGIN-PROOF *)
% 0.19/0.51 % SZS output start Proof
% 0.19/0.51 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\(~(distinct_points X (intersection_point U V)))))->((~(apart_point_and_line X U))/\(~(apart_point_and_line X V)))))))).
% 0.19/0.51 Proof.
% 0.19/0.51 apply NNPP. intro zenon_G.
% 0.19/0.51 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\(~(distinct_points X (intersection_point U V)))))->((~(apart_point_and_line X U))/\(~(apart_point_and_line X V)))))))) zenon_G); [ zenon_intro zenon_Hd; idtac ].
% 0.19/0.51 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.19/0.51 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_o Y)/\((convergent_lines U V)/\(~(distinct_points zenon_TX_o (intersection_point U V)))))->((~(apart_point_and_line zenon_TX_o U))/\(~(apart_point_and_line zenon_TX_o V))))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ].
% 0.19/0.51 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12.
% 0.19/0.51 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_o zenon_TY_r)/\((convergent_lines U V)/\(~(distinct_points zenon_TX_o (intersection_point U V)))))->((~(apart_point_and_line zenon_TX_o U))/\(~(apart_point_and_line zenon_TX_o V)))))) zenon_H12); [ zenon_intro zenon_H13; idtac ].
% 0.19/0.51 elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15.
% 0.19/0.51 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_o zenon_TY_r)/\((convergent_lines zenon_TU_u V)/\(~(distinct_points zenon_TX_o (intersection_point zenon_TU_u V)))))->((~(apart_point_and_line zenon_TX_o zenon_TU_u))/\(~(apart_point_and_line zenon_TX_o V))))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.19/0.51 elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18.
% 0.19/0.51 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.19/0.51 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.19/0.51 apply (zenon_notand_s _ _ zenon_H19); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.19/0.51 apply zenon_H20. zenon_intro zenon_H21.
% 0.19/0.51 generalize (con2 zenon_TU_u). zenon_intro zenon_H22.
% 0.19/0.51 generalize (zenon_H22 zenon_TV_x). zenon_intro zenon_H23.
% 0.19/0.51 generalize (zenon_H23 zenon_TX_o). zenon_intro zenon_H24.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.19/0.51 exact (zenon_H26 zenon_H1e).
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.19/0.51 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.19/0.51 exact (zenon_H2a zenon_H21).
% 0.19/0.51 exact (zenon_H1d zenon_H27).
% 0.19/0.51 apply zenon_H1f. zenon_intro zenon_H2b.
% 0.19/0.51 generalize (con2 zenon_TU_u). zenon_intro zenon_H22.
% 0.19/0.51 generalize (zenon_H22 zenon_TV_x). zenon_intro zenon_H23.
% 0.19/0.51 generalize (zenon_H23 zenon_TX_o). zenon_intro zenon_H24.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.19/0.51 exact (zenon_H26 zenon_H1e).
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.19/0.51 apply (zenon_notor_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.19/0.51 exact (zenon_H29 zenon_H2b).
% 0.19/0.51 exact (zenon_H1d zenon_H27).
% 0.19/0.51 Qed.
% 0.19/0.51 % SZS output end Proof
% 0.19/0.51 (* END-PROOF *)
% 0.19/0.51 nodes searched: 559
% 0.19/0.51 max branch formulas: 243
% 0.19/0.51 proof nodes created: 64
% 0.19/0.51 formulas created: 2137
% 0.19/0.51
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