TSTP Solution File: GEO189+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 07:00:34 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO189+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 05:13:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 (* PROOF-FOUND *)
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 (* BEGIN-PROOF *)
% 0.20/0.52 % SZS output start Proof
% 0.20/0.52 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\((distinct_points X Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting X Y))))))->(~(apart_point_and_line Y (line_connecting X Z))))))).
% 0.20/0.52 Proof.
% 0.20/0.52 apply NNPP. intro zenon_G.
% 0.20/0.52 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\((distinct_points X Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting X Y))))))->(~(apart_point_and_line Y (line_connecting X Z))))))) zenon_G); [ zenon_intro zenon_Hf; idtac ].
% 0.20/0.52 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11.
% 0.20/0.52 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((distinct_points zenon_TX_q Y)/\((distinct_points zenon_TX_q Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting zenon_TX_q Y))))))->(~(apart_point_and_line Y (line_connecting zenon_TX_q Z)))))) zenon_H11); [ zenon_intro zenon_H12; idtac ].
% 0.20/0.52 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14.
% 0.20/0.52 apply (zenon_notallex_s (fun Z : zenon_U => (((distinct_points zenon_TX_q zenon_TY_t)/\((distinct_points zenon_TX_q Z)/\((distinct_points zenon_TY_t Z)/\(~(apart_point_and_line Z (line_connecting zenon_TX_q zenon_TY_t))))))->(~(apart_point_and_line zenon_TY_t (line_connecting zenon_TX_q Z))))) zenon_H14); [ zenon_intro zenon_H15; idtac ].
% 0.20/0.52 elim zenon_H15. zenon_intro zenon_TZ_w. zenon_intro zenon_H17.
% 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.20/0.52 apply zenon_H18. zenon_intro zenon_H1a.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.20/0.52 generalize (cu1 zenon_TX_q). zenon_intro zenon_H21.
% 0.20/0.52 generalize (ci1 zenon_TX_q). zenon_intro zenon_H22.
% 0.20/0.52 generalize (zenon_H21 zenon_TZ_w). zenon_intro zenon_H23.
% 0.20/0.52 generalize (ceq2 zenon_TY_t). zenon_intro zenon_H24.
% 0.20/0.52 generalize (ci2 zenon_TX_q). zenon_intro zenon_H25.
% 0.20/0.52 generalize (zenon_H22 zenon_TZ_w). zenon_intro zenon_H26.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H26); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.20/0.52 exact (zenon_H28 zenon_H1e).
% 0.20/0.52 generalize (zenon_H25 zenon_TZ_w). zenon_intro zenon_H29.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H28 | zenon_intro zenon_H2a ].
% 0.20/0.52 exact (zenon_H28 zenon_H1e).
% 0.20/0.52 generalize (zenon_H24 (line_connecting zenon_TX_q zenon_TZ_w)). zenon_intro zenon_H2b.
% 0.20/0.52 generalize (zenon_H22 zenon_TY_t). zenon_intro zenon_H2c.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H2c); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 0.20/0.52 exact (zenon_H2e zenon_H1c).
% 0.20/0.52 generalize (zenon_H25 zenon_TY_t). zenon_intro zenon_H2f.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H2f); [ zenon_intro zenon_H2e | zenon_intro zenon_H30 ].
% 0.20/0.52 exact (zenon_H2e zenon_H1c).
% 0.20/0.52 generalize (zenon_H2b (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H31.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.20/0.52 exact (zenon_H33 zenon_H1a).
% 0.20/0.52 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 0.20/0.52 generalize (zenon_H23 (line_connecting zenon_TX_q zenon_TZ_w)). zenon_intro zenon_H36.
% 0.20/0.52 generalize (zenon_H36 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H37.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 0.20/0.52 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H28 | zenon_intro zenon_H3a ].
% 0.20/0.52 exact (zenon_H28 zenon_H1e).
% 0.20/0.52 exact (zenon_H3a zenon_H35).
% 0.20/0.52 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.20/0.52 exact (zenon_H27 zenon_H3c).
% 0.20/0.52 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.20/0.52 exact (zenon_H2d zenon_H3e).
% 0.20/0.52 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.20/0.52 exact (zenon_H2a zenon_H40).
% 0.20/0.52 exact (zenon_H1f zenon_H3f).
% 0.20/0.52 exact (zenon_H30 zenon_H34).
% 0.20/0.52 Qed.
% 0.20/0.52 % SZS output end Proof
% 0.20/0.52 (* END-PROOF *)
% 0.20/0.52 nodes searched: 740
% 0.20/0.52 max branch formulas: 468
% 0.20/0.52 proof nodes created: 92
% 0.20/0.52 formulas created: 3500
% 0.20/0.52
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