TSTP Solution File: GEO174+3 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n015.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 07:00:23 EDT 2022
% Result : Theorem 0.41s 0.56s
% Output : Proof 0.41s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n015.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 11:25:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.41/0.56 (* PROOF-FOUND *)
% 0.41/0.56 % SZS status Theorem
% 0.41/0.56 (* BEGIN-PROOF *)
% 0.41/0.56 % SZS output start Proof
% 0.41/0.56 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 Y U))))->(distinct_lines U (line_connecting X Y))))))).
% 0.41/0.56 Proof.
% 0.41/0.56 apply NNPP. intro zenon_G.
% 0.41/0.56 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 Y U))))->(distinct_lines U (line_connecting X Y))))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.41/0.56 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26.
% 0.41/0.56 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_bl Y)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_bl U)\/(apart_point_and_line Y U))))->(distinct_lines U (line_connecting zenon_TX_bl Y)))))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.41/0.56 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29.
% 0.41/0.56 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines U V)/\((apart_point_and_line zenon_TX_bl U)\/(apart_point_and_line zenon_TY_bo U))))->(distinct_lines U (line_connecting zenon_TX_bl zenon_TY_bo))))) zenon_H29); [ zenon_intro zenon_H2a; idtac ].
% 0.41/0.56 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c.
% 0.41/0.56 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_bl zenon_TY_bo)/\((convergent_lines zenon_TU_br V)/\((apart_point_and_line zenon_TX_bl zenon_TU_br)\/(apart_point_and_line zenon_TY_bo zenon_TU_br))))->(distinct_lines zenon_TU_br (line_connecting zenon_TX_bl zenon_TY_bo)))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ].
% 0.41/0.56 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f.
% 0.41/0.56 apply (zenon_notimply_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.41/0.56 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H33. zenon_intro zenon_H32.
% 0.41/0.56 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.41/0.56 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.41/0.56 generalize (ceq2 zenon_TX_bl). zenon_intro zenon_H38.
% 0.41/0.56 generalize (zenon_H38 zenon_TU_br). zenon_intro zenon_H39.
% 0.41/0.56 generalize (ci1 zenon_TX_bl). zenon_intro zenon_H3a.
% 0.41/0.56 generalize (zenon_H3a zenon_TY_bo). zenon_intro zenon_H3b.
% 0.41/0.56 apply (zenon_imply_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 0.41/0.56 exact (zenon_H3d zenon_H33).
% 0.41/0.56 generalize (zenon_H39 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H3e.
% 0.41/0.56 apply (zenon_imply_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.41/0.56 exact (zenon_H40 zenon_H37).
% 0.41/0.56 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.41/0.56 exact (zenon_H30 zenon_H42).
% 0.41/0.56 exact (zenon_H3c zenon_H41).
% 0.41/0.56 generalize (ceq2 zenon_TY_bo). zenon_intro zenon_H43.
% 0.41/0.56 generalize (zenon_H43 zenon_TU_br). zenon_intro zenon_H44.
% 0.41/0.56 generalize (ci2 zenon_TX_bl). zenon_intro zenon_H45.
% 0.41/0.56 generalize (zenon_H45 zenon_TY_bo). zenon_intro zenon_H46.
% 0.41/0.56 apply (zenon_imply_s _ _ zenon_H46); [ zenon_intro zenon_H3d | zenon_intro zenon_H47 ].
% 0.41/0.56 exact (zenon_H3d zenon_H33).
% 0.41/0.56 generalize (zenon_H44 (line_connecting zenon_TX_bl zenon_TY_bo)). zenon_intro zenon_H48.
% 0.41/0.56 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H4a | zenon_intro zenon_H49 ].
% 0.41/0.56 exact (zenon_H4a zenon_H36).
% 0.41/0.56 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H42 | zenon_intro zenon_H4b ].
% 0.41/0.56 exact (zenon_H30 zenon_H42).
% 0.41/0.56 exact (zenon_H47 zenon_H4b).
% 0.41/0.56 Qed.
% 0.41/0.56 % SZS output end Proof
% 0.41/0.56 (* END-PROOF *)
% 0.41/0.56 nodes searched: 2785
% 0.41/0.56 max branch formulas: 902
% 0.41/0.56 proof nodes created: 218
% 0.41/0.56 formulas created: 10313
% 0.41/0.56
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