TSTP Solution File: GEO186+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO186+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 07:00:32 EDT 2022
% Result : Theorem 0.19s 0.56s
% 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
% 0.00/0.12 % Problem : GEO186+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n004.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 13:04:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.56 (* PROOF-FOUND *)
% 0.19/0.56 % SZS status Theorem
% 0.19/0.56 (* BEGIN-PROOF *)
% 0.19/0.56 % SZS output start Proof
% 0.19/0.56 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)))))))).
% 0.19/0.56 Proof.
% 0.19/0.56 apply NNPP. intro zenon_G.
% 0.19/0.56 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 ].
% 0.19/0.56 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.19/0.56 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 ].
% 0.19/0.56 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12.
% 0.19/0.56 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 ].
% 0.19/0.56 elim zenon_H13. zenon_intro zenon_TU_u. zenon_intro zenon_H15.
% 0.19/0.56 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 ].
% 0.19/0.56 elim zenon_H16. zenon_intro zenon_TV_x. zenon_intro zenon_H18.
% 0.19/0.56 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.19/0.56 apply zenon_H19. zenon_intro zenon_H1b.
% 0.19/0.56 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c.
% 0.19/0.56 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.19/0.56 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.19/0.56 generalize (cu1 zenon_TX_o). zenon_intro zenon_H22.
% 0.19/0.56 generalize (apart2 zenon_TV_x). zenon_intro zenon_H23.
% 0.19/0.56 generalize (con2 zenon_TU_u). zenon_intro zenon_H24.
% 0.19/0.56 generalize (zenon_H24 zenon_TV_x). zenon_intro zenon_H25.
% 0.19/0.56 generalize (zenon_H22 (intersection_point zenon_TU_u zenon_TV_x)). zenon_intro zenon_H26.
% 0.19/0.56 generalize (apart1 (intersection_point zenon_TU_u zenon_TV_x)). zenon_intro zenon_H27.
% 0.19/0.56 generalize (zenon_H25 (intersection_point zenon_TU_u zenon_TV_x)). zenon_intro zenon_H28.
% 0.19/0.56 apply (zenon_imply_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.19/0.56 exact (zenon_H2a zenon_H1f).
% 0.19/0.56 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.19/0.56 apply (zenon_notor_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.19/0.56 generalize (apart5 zenon_TU_u). zenon_intro zenon_H2f.
% 0.19/0.56 generalize (zenon_H2f zenon_TV_x). zenon_intro zenon_H30.
% 0.19/0.56 generalize (zenon_H30 zenon_TV_x). zenon_intro zenon_H31.
% 0.19/0.56 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 0.19/0.56 generalize (ceq3 zenon_TU_u). zenon_intro zenon_H34.
% 0.19/0.56 generalize (zenon_H34 zenon_TV_x). zenon_intro zenon_H35.
% 0.19/0.56 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H2a | zenon_intro zenon_H36 ].
% 0.19/0.56 exact (zenon_H2a zenon_H1f).
% 0.19/0.56 exact (zenon_H33 zenon_H36).
% 0.19/0.56 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H36 | zenon_intro zenon_H37 ].
% 0.19/0.56 generalize (zenon_H26 zenon_TU_u). zenon_intro zenon_H38.
% 0.19/0.56 generalize (zenon_H38 zenon_TV_x). zenon_intro zenon_H39.
% 0.19/0.56 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ].
% 0.19/0.56 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H3c | zenon_intro zenon_H33 ].
% 0.19/0.56 exact (zenon_H3c zenon_H1b).
% 0.19/0.56 exact (zenon_H33 zenon_H36).
% 0.19/0.56 apply (zenon_or_s _ _ zenon_H3a); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.19/0.56 exact (zenon_H21 zenon_H3e).
% 0.19/0.56 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.19/0.56 exact (zenon_H20 zenon_H40).
% 0.19/0.56 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.19/0.56 exact (zenon_H2e zenon_H42).
% 0.19/0.56 exact (zenon_H2d zenon_H41).
% 0.19/0.56 exact (zenon_H23 zenon_H37).
% 0.19/0.56 exact (zenon_H27 zenon_H2b).
% 0.19/0.56 Qed.
% 0.19/0.56 % SZS output end Proof
% 0.19/0.56 (* END-PROOF *)
% 0.19/0.56 nodes searched: 3474
% 0.19/0.56 max branch formulas: 948
% 0.19/0.56 proof nodes created: 371
% 0.19/0.56 formulas created: 10586
% 0.19/0.56
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