TSTP Solution File: GEO183+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n016.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 07:00:29 EDT 2022
% Result : Theorem 0.42s 0.61s
% Output : Proof 0.42s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO183+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n016.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 11:15:22 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.42/0.61 (* PROOF-FOUND *)
% 0.42/0.61 % SZS status Theorem
% 0.42/0.61 (* BEGIN-PROOF *)
% 0.42/0.61 % SZS output start Proof
% 0.42/0.61 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_lines U (line_connecting X Y)))))->((~(apart_point_and_line X U))/\(~(apart_point_and_line Y U)))))))).
% 0.42/0.61 Proof.
% 0.42/0.61 apply NNPP. intro zenon_G.
% 0.42/0.61 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_lines U (line_connecting X Y)))))->((~(apart_point_and_line X U))/\(~(apart_point_and_line Y U)))))))) zenon_G); [ zenon_intro zenon_Hf; idtac ].
% 0.42/0.61 elim zenon_Hf. zenon_intro zenon_TX_q. zenon_intro zenon_H11.
% 0.42/0.61 apply (zenon_notallex_s (fun Y : zenon_U => (forall U : zenon_U, (forall V : zenon_U, (((distinct_points zenon_TX_q Y)/\((convergent_lines U V)/\(~(distinct_lines U (line_connecting zenon_TX_q Y)))))->((~(apart_point_and_line zenon_TX_q U))/\(~(apart_point_and_line Y U))))))) zenon_H11); [ zenon_intro zenon_H12; idtac ].
% 0.42/0.61 elim zenon_H12. zenon_intro zenon_TY_t. zenon_intro zenon_H14.
% 0.42/0.61 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (((distinct_points zenon_TX_q zenon_TY_t)/\((convergent_lines U V)/\(~(distinct_lines U (line_connecting zenon_TX_q zenon_TY_t)))))->((~(apart_point_and_line zenon_TX_q U))/\(~(apart_point_and_line zenon_TY_t U)))))) zenon_H14); [ zenon_intro zenon_H15; idtac ].
% 0.42/0.61 elim zenon_H15. zenon_intro zenon_TU_w. zenon_intro zenon_H17.
% 0.42/0.61 apply (zenon_notallex_s (fun V : zenon_U => (((distinct_points zenon_TX_q zenon_TY_t)/\((convergent_lines zenon_TU_w V)/\(~(distinct_lines zenon_TU_w (line_connecting zenon_TX_q zenon_TY_t)))))->((~(apart_point_and_line zenon_TX_q zenon_TU_w))/\(~(apart_point_and_line zenon_TY_t zenon_TU_w))))) zenon_H17); [ zenon_intro zenon_H18; idtac ].
% 0.42/0.61 elim zenon_H18. zenon_intro zenon_TV_z. zenon_intro zenon_H1a.
% 0.42/0.61 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.42/0.61 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.42/0.61 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 0.42/0.61 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.42/0.61 apply zenon_H22. zenon_intro zenon_H23.
% 0.42/0.61 generalize (ceq2 zenon_TX_q). zenon_intro zenon_H24.
% 0.42/0.61 generalize (zenon_H24 zenon_TU_w). zenon_intro zenon_H25.
% 0.42/0.61 generalize (ci1 zenon_TX_q). zenon_intro zenon_H26.
% 0.42/0.61 generalize (zenon_H26 zenon_TY_t). zenon_intro zenon_H27.
% 0.42/0.61 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ].
% 0.42/0.61 exact (zenon_H29 zenon_H1e).
% 0.42/0.61 generalize (zenon_H25 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H2a.
% 0.42/0.61 apply (zenon_imply_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ].
% 0.42/0.61 exact (zenon_H2c zenon_H23).
% 0.42/0.61 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ].
% 0.42/0.61 exact (zenon_H1f zenon_H2e).
% 0.42/0.61 exact (zenon_H28 zenon_H2d).
% 0.42/0.61 apply zenon_H21. zenon_intro zenon_H2f.
% 0.42/0.61 generalize (ceq2 zenon_TY_t). zenon_intro zenon_H30.
% 0.42/0.61 generalize (zenon_H30 zenon_TU_w). zenon_intro zenon_H31.
% 0.42/0.61 generalize (ci2 zenon_TX_q). zenon_intro zenon_H32.
% 0.42/0.61 generalize (zenon_H32 zenon_TY_t). zenon_intro zenon_H33.
% 0.42/0.61 apply (zenon_imply_s _ _ zenon_H33); [ zenon_intro zenon_H29 | zenon_intro zenon_H34 ].
% 0.42/0.61 exact (zenon_H29 zenon_H1e).
% 0.42/0.61 generalize (zenon_H31 (line_connecting zenon_TX_q zenon_TY_t)). zenon_intro zenon_H35.
% 0.42/0.61 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H37 | zenon_intro zenon_H36 ].
% 0.42/0.61 exact (zenon_H37 zenon_H2f).
% 0.42/0.61 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H2e | zenon_intro zenon_H38 ].
% 0.42/0.61 exact (zenon_H1f zenon_H2e).
% 0.42/0.61 exact (zenon_H34 zenon_H38).
% 0.42/0.61 Qed.
% 0.42/0.61 % SZS output end Proof
% 0.42/0.61 (* END-PROOF *)
% 0.42/0.61 nodes searched: 4966
% 0.42/0.61 max branch formulas: 1237
% 0.42/0.61 proof nodes created: 297
% 0.42/0.61 formulas created: 17623
% 0.42/0.61
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