TSTP Solution File: GEO175+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 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 07:00:24 EDT 2022
% Result : Theorem 0.45s 0.61s
% Output : Proof 0.45s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO175+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_zenon %s %d
% 0.15/0.35 % Computer : n008.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Sat Jun 18 12:50:22 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.45/0.61 (* PROOF-FOUND *)
% 0.45/0.61 % SZS status Theorem
% 0.45/0.61 (* BEGIN-PROOF *)
% 0.45/0.61 % SZS output start Proof
% 0.45/0.61 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))))))).
% 0.45/0.61 Proof.
% 0.45/0.61 apply NNPP. intro zenon_G.
% 0.45/0.61 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 ].
% 0.45/0.61 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.45/0.61 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 ].
% 0.45/0.61 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12.
% 0.45/0.61 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 ].
% 0.45/0.61 elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15.
% 0.45/0.61 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 ].
% 0.45/0.61 elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18.
% 0.45/0.61 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.45/0.61 apply (zenon_notor_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.45/0.61 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.45/0.61 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.45/0.61 generalize (cu1 zenon_TX_o). zenon_intro zenon_H21.
% 0.45/0.61 generalize (apart2 zenon_TV_x). zenon_intro zenon_H22.
% 0.45/0.61 generalize (con2 zenon_TU_u). zenon_intro zenon_H23.
% 0.45/0.61 generalize (zenon_H23 zenon_TV_x). zenon_intro zenon_H24.
% 0.45/0.61 generalize (zenon_H21 (intersection_point zenon_TU_u zenon_TV_x)). zenon_intro zenon_H25.
% 0.45/0.61 generalize (apart1 (intersection_point zenon_TU_u zenon_TV_x)). zenon_intro zenon_H26.
% 0.45/0.61 generalize (zenon_H24 (intersection_point zenon_TU_u zenon_TV_x)). zenon_intro zenon_H27.
% 0.45/0.61 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.45/0.61 exact (zenon_H29 zenon_H20).
% 0.45/0.61 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 0.45/0.61 apply (zenon_notor_s _ _ zenon_H2b). zenon_intro zenon_H2d. zenon_intro zenon_H2c.
% 0.45/0.61 generalize (apart5 zenon_TU_u). zenon_intro zenon_H2e.
% 0.45/0.61 generalize (zenon_H2e zenon_TV_x). zenon_intro zenon_H2f.
% 0.45/0.61 generalize (zenon_H2f zenon_TV_x). zenon_intro zenon_H30.
% 0.45/0.61 apply (zenon_imply_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.45/0.61 generalize (ceq3 zenon_TU_u). zenon_intro zenon_H33.
% 0.45/0.61 generalize (zenon_H33 zenon_TV_x). zenon_intro zenon_H34.
% 0.45/0.61 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H29 | zenon_intro zenon_H35 ].
% 0.45/0.61 exact (zenon_H29 zenon_H20).
% 0.45/0.61 exact (zenon_H32 zenon_H35).
% 0.45/0.61 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H35 | zenon_intro zenon_H36 ].
% 0.45/0.61 generalize (zenon_H25 zenon_TU_u). zenon_intro zenon_H37.
% 0.45/0.61 generalize (zenon_H37 zenon_TV_x). zenon_intro zenon_H38.
% 0.45/0.61 apply (zenon_imply_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 0.45/0.61 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3b | zenon_intro zenon_H32 ].
% 0.45/0.61 exact (zenon_H3b zenon_H1f).
% 0.45/0.61 exact (zenon_H32 zenon_H35).
% 0.45/0.61 apply (zenon_or_s _ _ zenon_H39); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.45/0.61 exact (zenon_H1c zenon_H3d).
% 0.45/0.61 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ].
% 0.45/0.61 exact (zenon_H1b zenon_H3f).
% 0.45/0.61 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H41 | zenon_intro zenon_H40 ].
% 0.45/0.61 exact (zenon_H2d zenon_H41).
% 0.45/0.61 exact (zenon_H2c zenon_H40).
% 0.45/0.61 exact (zenon_H22 zenon_H36).
% 0.45/0.61 exact (zenon_H26 zenon_H2a).
% 0.45/0.61 Qed.
% 0.45/0.61 % SZS output end Proof
% 0.45/0.61 (* END-PROOF *)
% 0.45/0.61 nodes searched: 3474
% 0.45/0.61 max branch formulas: 948
% 0.45/0.61 proof nodes created: 371
% 0.45/0.61 formulas created: 10566
% 0.45/0.61
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