TSTP Solution File: GEO226+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 07:01:05 EDT 2022
% Result : Theorem 0.18s 0.53s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n028.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 10:30:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.53 (* PROOF-FOUND *)
% 0.18/0.53 % SZS status Theorem
% 0.18/0.53 (* BEGIN-PROOF *)
% 0.18/0.53 % SZS output start Proof
% 0.18/0.53 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (((line L)/\((line M)/\(convergent_lines L M)))->(exists X : zenon_U, ((point X)->((~(apart_point_and_line X L))/\(~(apart_point_and_line X M)))))))).
% 0.18/0.53 Proof.
% 0.18/0.53 apply NNPP. intro zenon_G.
% 0.18/0.53 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((line L)/\((line M)/\(convergent_lines L M)))->(exists X : zenon_U, ((point X)->((~(apart_point_and_line X L))/\(~(apart_point_and_line X M)))))))) zenon_G); [ zenon_intro zenon_H13; idtac ].
% 0.18/0.53 elim zenon_H13. zenon_intro zenon_TL_u. zenon_intro zenon_H15.
% 0.18/0.53 apply (zenon_notallex_s (fun M : zenon_U => (((line zenon_TL_u)/\((line M)/\(convergent_lines zenon_TL_u M)))->(exists X : zenon_U, ((point X)->((~(apart_point_and_line X zenon_TL_u))/\(~(apart_point_and_line X M))))))) zenon_H15); [ zenon_intro zenon_H16; idtac ].
% 0.18/0.53 elim zenon_H16. zenon_intro zenon_TM_x. zenon_intro zenon_H18.
% 0.18/0.53 apply (zenon_notimply_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 0.18/0.53 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.18/0.53 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.18/0.53 generalize (ci3 zenon_TL_u). zenon_intro zenon_H1f.
% 0.18/0.53 generalize (zenon_H1f zenon_TM_x). zenon_intro zenon_H20.
% 0.18/0.53 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.18/0.53 exact (zenon_H22 zenon_H1d).
% 0.18/0.53 generalize (ci4 zenon_TL_u). zenon_intro zenon_H23.
% 0.18/0.53 generalize (zenon_H23 zenon_TM_x). zenon_intro zenon_H24.
% 0.18/0.53 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H22 | zenon_intro zenon_H25 ].
% 0.18/0.53 exact (zenon_H22 zenon_H1d).
% 0.18/0.53 apply zenon_H19. exists (intersection_point zenon_TL_u zenon_TM_x). apply NNPP. zenon_intro zenon_H26.
% 0.18/0.53 apply (zenon_notimply_s _ _ zenon_H26). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.18/0.53 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.18/0.53 exact (zenon_H2a zenon_H21).
% 0.18/0.53 exact (zenon_H29 zenon_H25).
% 0.18/0.53 Qed.
% 0.18/0.53 % SZS output end Proof
% 0.18/0.53 (* END-PROOF *)
% 0.18/0.53 nodes searched: 1877
% 0.18/0.53 max branch formulas: 784
% 0.18/0.53 proof nodes created: 149
% 0.18/0.53 formulas created: 6509
% 0.18/0.53
%------------------------------------------------------------------------------