TSTP Solution File: GEO180+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 07:00:27 EDT 2022
% Result : Theorem 0.37s 0.53s
% Output : Proof 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO180+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n005.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 04:10:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.53 (* PROOF-FOUND *)
% 0.37/0.53 % SZS status Theorem
% 0.37/0.53 (* BEGIN-PROOF *)
% 0.37/0.53 % SZS output start Proof
% 0.37/0.53 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((distinct_points X Y)->((apart_point_and_line Z (line_connecting X Y))->(apart_point_and_line X (line_connecting Z Y))))))).
% 0.37/0.53 Proof.
% 0.37/0.53 apply NNPP. intro zenon_G.
% 0.37/0.53 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, ((distinct_points X Y)->((apart_point_and_line Z (line_connecting X Y))->(apart_point_and_line X (line_connecting Z Y))))))) zenon_G); [ zenon_intro zenon_Hf; idtac ].
% 0.37/0.53 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11.
% 0.37/0.53 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, ((distinct_points zenon_TX_q Y)->((apart_point_and_line Z (line_connecting zenon_TX_q Y))->(apart_point_and_line zenon_TX_q (line_connecting Z Y)))))) zenon_H11); [ zenon_intro zenon_H12; idtac ].
% 0.37/0.53 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14.
% 0.37/0.53 apply (zenon_notallex_s (fun Z : zenon_U => ((distinct_points zenon_TX_q zenon_TY_t)->((apart_point_and_line Z (line_connecting zenon_TX_q zenon_TY_t))->(apart_point_and_line zenon_TX_q (line_connecting Z zenon_TY_t))))) zenon_H14); [ zenon_intro zenon_H15; idtac ].
% 0.37/0.54 elim zenon_H15. zenon_intro zenon_TZ_w. zenon_intro zenon_H17.
% 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.37/0.54 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a.
% 0.37/0.54 generalize (apart1 zenon_TY_t). zenon_intro zenon_H1c.
% 0.37/0.54 generalize (ci1 zenon_TX_q). zenon_intro zenon_H1d.
% 0.37/0.54 generalize (cu1 zenon_TX_q). zenon_intro zenon_H1e.
% 0.37/0.54 generalize (zenon_H1e zenon_TY_t). zenon_intro zenon_H1f.
% 0.37/0.54 generalize (ceq2 zenon_TZ_w). zenon_intro zenon_H20.
% 0.37/0.54 generalize (ci2 zenon_TX_q). zenon_intro zenon_H21.
% 0.37/0.54 generalize (zenon_H1d zenon_TY_t). zenon_intro zenon_H22.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 0.37/0.54 exact (zenon_H24 zenon_H19).
% 0.37/0.54 generalize (zenon_H21 zenon_TY_t). zenon_intro zenon_H25.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H24 | zenon_intro zenon_H26 ].
% 0.37/0.54 exact (zenon_H24 zenon_H19).
% 0.37/0.54 generalize (zenon_H20 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H27.
% 0.37/0.54 generalize (apart4 zenon_TZ_w). zenon_intro zenon_H28.
% 0.37/0.54 generalize (zenon_H28 zenon_TY_t). zenon_intro zenon_H29.
% 0.37/0.54 generalize (zenon_H29 zenon_TY_t). zenon_intro zenon_H2a.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.37/0.54 generalize (ceq1 zenon_TZ_w). zenon_intro zenon_H2d.
% 0.37/0.54 generalize (zenon_H2d (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H2e.
% 0.37/0.54 generalize (zenon_H2e zenon_TY_t). zenon_intro zenon_H2f.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H31 | zenon_intro zenon_H30 ].
% 0.37/0.54 exact (zenon_H31 zenon_H1b).
% 0.37/0.54 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.37/0.54 exact (zenon_H2c zenon_H33).
% 0.37/0.54 exact (zenon_H26 zenon_H32).
% 0.37/0.54 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H33 | zenon_intro zenon_H34 ].
% 0.37/0.54 generalize (ci1 zenon_TZ_w). zenon_intro zenon_H35.
% 0.37/0.54 generalize (zenon_H35 zenon_TY_t). zenon_intro zenon_H36.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H36); [ zenon_intro zenon_H2c | zenon_intro zenon_H37 ].
% 0.37/0.54 exact (zenon_H2c zenon_H33).
% 0.37/0.54 generalize (ci2 zenon_TZ_w). zenon_intro zenon_H38.
% 0.37/0.54 generalize (zenon_H38 zenon_TY_t). zenon_intro zenon_H39.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H2c | zenon_intro zenon_H3a ].
% 0.37/0.54 exact (zenon_H2c zenon_H33).
% 0.37/0.54 generalize (zenon_H27 (line_connecting zenon_TZ_w zenon_TY_t)). zenon_intro zenon_H3b.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H31 | zenon_intro zenon_H3c ].
% 0.37/0.54 exact (zenon_H31 zenon_H1b).
% 0.37/0.54 apply (zenon_or_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.37/0.54 generalize (zenon_H1f (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H3f.
% 0.37/0.54 generalize (zenon_H3f (line_connecting zenon_TZ_w zenon_TY_t)). zenon_intro zenon_H40.
% 0.37/0.54 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.37/0.54 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H24 | zenon_intro zenon_H43 ].
% 0.37/0.54 exact (zenon_H24 zenon_H19).
% 0.37/0.54 exact (zenon_H43 zenon_H3e).
% 0.37/0.54 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 0.37/0.54 exact (zenon_H23 zenon_H45).
% 0.37/0.54 apply (zenon_or_s _ _ zenon_H44); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 0.37/0.54 exact (zenon_H1a zenon_H47).
% 0.37/0.54 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H32 | zenon_intro zenon_H48 ].
% 0.37/0.54 exact (zenon_H26 zenon_H32).
% 0.37/0.54 exact (zenon_H3a zenon_H48).
% 0.37/0.54 exact (zenon_H37 zenon_H3d).
% 0.37/0.54 exact (zenon_H1c zenon_H34).
% 0.37/0.54 Qed.
% 0.37/0.54 % SZS output end Proof
% 0.37/0.54 (* END-PROOF *)
% 0.37/0.54 nodes searched: 1903
% 0.37/0.54 max branch formulas: 800
% 0.37/0.54 proof nodes created: 212
% 0.37/0.54 formulas created: 7157
% 0.37/0.54
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