TSTP Solution File: GEO220+3 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO220+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.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 07:01:01 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO220+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n007.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 : Fri Jun 17 19:42:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.52 (* PROOF-FOUND *)
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 (* BEGIN-PROOF *)
% 0.20/0.52 % SZS output start Proof
% 0.20/0.52 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((orthogonal_lines L M)/\(orthogonal_lines L N))->(parallel_lines M N))))).
% 0.20/0.52 Proof.
% 0.20/0.52 apply NNPP. intro zenon_G.
% 0.20/0.52 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, (((orthogonal_lines L M)/\(orthogonal_lines L N))->(parallel_lines M N))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.20/0.52 elim zenon_H24. zenon_intro zenon_TL_bl. zenon_intro zenon_H26.
% 0.20/0.52 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, (((orthogonal_lines zenon_TL_bl M)/\(orthogonal_lines zenon_TL_bl N))->(parallel_lines M N)))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.20/0.52 elim zenon_H27. zenon_intro zenon_TM_bo. zenon_intro zenon_H29.
% 0.20/0.52 apply (zenon_notallex_s (fun N : zenon_U => (((orthogonal_lines zenon_TL_bl zenon_TM_bo)/\(orthogonal_lines zenon_TL_bl N))->(parallel_lines zenon_TM_bo N))) zenon_H29); [ zenon_intro zenon_H2a; idtac ].
% 0.20/0.52 elim zenon_H2a. zenon_intro zenon_TN_br. zenon_intro zenon_H2c.
% 0.20/0.52 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.20/0.52 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.20/0.52 generalize (a5 zenon_TL_bl). zenon_intro zenon_H31.
% 0.20/0.52 generalize (zenon_H31 zenon_TM_bo). zenon_intro zenon_H32.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H32); [ zenon_intro zenon_H35; zenon_intro zenon_H34 | zenon_intro zenon_H30; zenon_intro zenon_H33 ].
% 0.20/0.52 exact (zenon_H35 zenon_H30).
% 0.20/0.52 generalize (a5 zenon_TL_bl). zenon_intro zenon_H31.
% 0.20/0.52 generalize (zenon_H31 zenon_TN_br). zenon_intro zenon_H36.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H36); [ zenon_intro zenon_H39; zenon_intro zenon_H38 | zenon_intro zenon_H2f; zenon_intro zenon_H37 ].
% 0.20/0.52 exact (zenon_H39 zenon_H2f).
% 0.20/0.52 generalize (a3 zenon_TM_bo). zenon_intro zenon_H3a.
% 0.20/0.52 generalize (zenon_H3a zenon_TN_br). zenon_intro zenon_H3b.
% 0.20/0.52 apply (zenon_equiv_s _ _ zenon_H3b); [ zenon_intro zenon_H2d; zenon_intro zenon_H3e | zenon_intro zenon_H3d; zenon_intro zenon_H3c ].
% 0.20/0.52 apply zenon_H3e. zenon_intro zenon_H3f.
% 0.20/0.52 generalize (couo1 zenon_TL_bl). zenon_intro zenon_H40.
% 0.20/0.52 generalize (zenon_H40 zenon_TM_bo). zenon_intro zenon_H41.
% 0.20/0.52 generalize (zenon_H41 zenon_TN_br). zenon_intro zenon_H42.
% 0.20/0.52 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H43 | zenon_intro zenon_H3c ].
% 0.20/0.52 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H34 | zenon_intro zenon_H38 ].
% 0.20/0.52 exact (zenon_H34 zenon_H33).
% 0.20/0.52 exact (zenon_H38 zenon_H37).
% 0.20/0.52 exact (zenon_H3c zenon_H3f).
% 0.20/0.52 exact (zenon_H2d zenon_H3d).
% 0.20/0.52 Qed.
% 0.20/0.52 % SZS output end Proof
% 0.20/0.52 (* END-PROOF *)
% 0.20/0.52 nodes searched: 756
% 0.20/0.52 max branch formulas: 490
% 0.20/0.52 proof nodes created: 71
% 0.20/0.52 formulas created: 4122
% 0.20/0.52
%------------------------------------------------------------------------------