TSTP Solution File: GEO176+2 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO176+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 07:00:24 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
% 0.11/0.12 % Problem : GEO176+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % 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 01:40:08 EDT 2022
% 0.12/0.33 % 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 X : zenon_U, (forall Y : zenon_U, (forall U : zenon_U, (forall V : zenon_U, (((distinct_points X Y)/\((convergent_lines U V)/\((apart_point_and_line X U)\/(apart_point_and_line X V))))->(distinct_points X (intersection_point U V))))))).
% 0.19/0.50 Proof.
% 0.19/0.50 apply NNPP. intro zenon_G.
% 0.19/0.50 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)/\((apart_point_and_line X U)\/(apart_point_and_line X V))))->(distinct_points X (intersection_point U V))))))) zenon_G); [ zenon_intro zenon_Hd; idtac ].
% 0.19/0.50 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.19/0.50 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)/\((apart_point_and_line zenon_TX_o U)\/(apart_point_and_line zenon_TX_o V))))->(distinct_points zenon_TX_o (intersection_point U 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)/\((apart_point_and_line zenon_TX_o U)\/(apart_point_and_line zenon_TX_o V))))->(distinct_points zenon_TX_o (intersection_point U 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)/\((apart_point_and_line zenon_TX_o zenon_TU_u)\/(apart_point_and_line zenon_TX_o V))))->(distinct_points zenon_TX_o (intersection_point zenon_TU_u 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_or_s _ _ zenon_H1d); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.19/0.51 generalize (con2 zenon_TU_u). zenon_intro zenon_H21.
% 0.19/0.51 generalize (zenon_H21 zenon_TV_x). zenon_intro zenon_H22.
% 0.19/0.51 generalize (zenon_H22 zenon_TX_o). zenon_intro zenon_H23.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.19/0.51 exact (zenon_H25 zenon_H1e).
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.19/0.51 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.19/0.51 exact (zenon_H29 zenon_H20).
% 0.19/0.51 exact (zenon_H19 zenon_H26).
% 0.19/0.51 generalize (con2 zenon_TU_u). zenon_intro zenon_H21.
% 0.19/0.51 generalize (zenon_H21 zenon_TV_x). zenon_intro zenon_H22.
% 0.19/0.51 generalize (zenon_H22 zenon_TX_o). zenon_intro zenon_H23.
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_H25 | zenon_intro zenon_H24 ].
% 0.19/0.51 exact (zenon_H25 zenon_H1e).
% 0.19/0.51 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 0.19/0.51 apply (zenon_notor_s _ _ zenon_H27). zenon_intro zenon_H29. zenon_intro zenon_H28.
% 0.19/0.51 exact (zenon_H28 zenon_H1f).
% 0.19/0.51 exact (zenon_H19 zenon_H26).
% 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: 557
% 0.19/0.51 max branch formulas: 242
% 0.19/0.51 proof nodes created: 62
% 0.19/0.51 formulas created: 2124
% 0.19/0.51
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