TSTP Solution File: GEO178+2 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 07:00:26 EDT 2022
% Result : Theorem 0.15s 0.46s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.11 % Command : run_zenon %s %d
% 0.10/0.31 % Computer : n019.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 600
% 0.10/0.31 % DateTime : Sat Jun 18 10:35:24 EDT 2022
% 0.15/0.31 % CPUTime :
% 0.15/0.46 (* PROOF-FOUND *)
% 0.15/0.46 % SZS status Theorem
% 0.15/0.46 (* BEGIN-PROOF *)
% 0.15/0.46 % SZS output start Proof
% 0.15/0.46 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)))->((distinct_points Z X)/\(distinct_points Z Y)))))).
% 0.15/0.46 Proof.
% 0.15/0.46 apply NNPP. intro zenon_G.
% 0.15/0.46 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)))->((distinct_points Z X)/\(distinct_points Z Y)))))) zenon_G); [ zenon_intro zenon_Hd; idtac ].
% 0.15/0.46 elim zenon_Hd. zenon_intro zenon_TX_o. zenon_intro zenon_Hf.
% 0.15/0.46 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((distinct_points zenon_TX_o Y)/\(apart_point_and_line Z (line_connecting zenon_TX_o Y)))->((distinct_points Z zenon_TX_o)/\(distinct_points Z Y))))) zenon_Hf); [ zenon_intro zenon_H10; idtac ].
% 0.15/0.46 elim zenon_H10. zenon_intro zenon_TY_r. zenon_intro zenon_H12.
% 0.15/0.46 apply (zenon_notallex_s (fun Z : zenon_U => (((distinct_points zenon_TX_o zenon_TY_r)/\(apart_point_and_line Z (line_connecting zenon_TX_o zenon_TY_r)))->((distinct_points Z zenon_TX_o)/\(distinct_points Z zenon_TY_r)))) zenon_H12); [ zenon_intro zenon_H13; idtac ].
% 0.15/0.46 elim zenon_H13. zenon_intro zenon_TZ_u. zenon_intro zenon_H15.
% 0.15/0.46 apply (zenon_notimply_s _ _ zenon_H15). zenon_intro zenon_H17. zenon_intro zenon_H16.
% 0.15/0.46 apply (zenon_and_s _ _ zenon_H17). zenon_intro zenon_H19. zenon_intro zenon_H18.
% 0.15/0.46 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H1b | zenon_intro zenon_H1a ].
% 0.15/0.46 generalize (con1 zenon_TX_o). zenon_intro zenon_H1c.
% 0.15/0.46 generalize (zenon_H1c zenon_TY_r). zenon_intro zenon_H1d.
% 0.15/0.46 generalize (zenon_H1d zenon_TZ_u). zenon_intro zenon_H1e.
% 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.15/0.46 exact (zenon_H20 zenon_H19).
% 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.15/0.46 exact (zenon_H22 zenon_H18).
% 0.15/0.46 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.15/0.46 exact (zenon_H1b zenon_H24).
% 0.15/0.46 generalize (con1 zenon_TX_o). zenon_intro zenon_H1c.
% 0.15/0.46 generalize (zenon_H1c zenon_TY_r). zenon_intro zenon_H1d.
% 0.15/0.46 generalize (zenon_H1d zenon_TZ_u). zenon_intro zenon_H1e.
% 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.15/0.46 exact (zenon_H20 zenon_H19).
% 0.15/0.46 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.15/0.46 exact (zenon_H22 zenon_H18).
% 0.15/0.46 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.15/0.46 exact (zenon_H1a zenon_H23).
% 0.15/0.46 Qed.
% 0.15/0.46 % SZS output end Proof
% 0.15/0.46 (* END-PROOF *)
% 0.15/0.46 nodes searched: 846
% 0.15/0.46 max branch formulas: 276
% 0.15/0.46 proof nodes created: 118
% 0.15/0.46 formulas created: 2503
% 0.15/0.46
%------------------------------------------------------------------------------