TSTP Solution File: GEO219+1 by Zenon---0.7.1
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% File : Zenon---0.7.1
% Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 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 07:00:59 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.14/0.34 % Computer : n007.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 13:16:13 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem con : (forall L : zenon_U, (forall M : zenon_U, (forall N : zenon_U, (((~(unorthogonal_lines L M))/\(~(convergent_lines L N)))->(~(unorthogonal_lines M N)))))).
% 0.20/0.51 Proof.
% 0.20/0.51 assert (zenon_L1_ : forall (zenon_TM_u : zenon_U) (zenon_TL_v : zenon_U), (~(~(unorthogonal_lines zenon_TL_v zenon_TM_u))) -> (~(unorthogonal_lines zenon_TL_v zenon_TM_u)) -> False).
% 0.20/0.51 do 2 intro. intros zenon_H12 zenon_H13.
% 0.20/0.51 exact (zenon_H12 zenon_H13).
% 0.20/0.51 (* end of lemma zenon_L1_ *)
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (forall N : zenon_U, (((~(unorthogonal_lines L M))/\(~(convergent_lines L N)))->(~(unorthogonal_lines M N)))))) zenon_G); [ zenon_intro zenon_H16; idtac ].
% 0.20/0.51 elim zenon_H16. zenon_intro zenon_TL_v. zenon_intro zenon_H17.
% 0.20/0.51 apply (zenon_notallex_s (fun M : zenon_U => (forall N : zenon_U, (((~(unorthogonal_lines zenon_TL_v M))/\(~(convergent_lines zenon_TL_v N)))->(~(unorthogonal_lines M N))))) zenon_H17); [ zenon_intro zenon_H18; idtac ].
% 0.20/0.51 elim zenon_H18. zenon_intro zenon_TM_u. zenon_intro zenon_H19.
% 0.20/0.51 apply (zenon_notallex_s (fun N : zenon_U => (((~(unorthogonal_lines zenon_TL_v zenon_TM_u))/\(~(convergent_lines zenon_TL_v N)))->(~(unorthogonal_lines zenon_TM_u N)))) zenon_H19); [ zenon_intro zenon_H1a; idtac ].
% 0.20/0.51 elim zenon_H1a. zenon_intro zenon_TN_bb. zenon_intro zenon_H1c.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H1c). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 0.20/0.51 apply zenon_H1d. zenon_intro zenon_H1f.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H13. zenon_intro zenon_H20.
% 0.20/0.51 generalize (coipo1 zenon_TL_v). zenon_intro zenon_H21.
% 0.20/0.51 generalize (zenon_H21 zenon_TM_u). zenon_intro zenon_H22.
% 0.20/0.51 apply (zenon_notand_s _ _ zenon_H22); [ zenon_intro zenon_H23 | zenon_intro zenon_H12 ].
% 0.20/0.51 apply zenon_H23. zenon_intro zenon_H24.
% 0.20/0.51 generalize (cotno1 zenon_TL_v). zenon_intro zenon_H25.
% 0.20/0.51 generalize (ax6 zenon_TL_v). zenon_intro zenon_H26.
% 0.20/0.51 generalize (zenon_H26 zenon_TM_u). zenon_intro zenon_H27.
% 0.20/0.51 generalize (zenon_H25 zenon_TM_u). zenon_intro zenon_H28.
% 0.20/0.51 generalize (zenon_H27 zenon_TN_bb). zenon_intro zenon_H29.
% 0.20/0.51 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 0.20/0.51 exact (zenon_H2b zenon_H24).
% 0.20/0.51 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 0.20/0.51 exact (zenon_H20 zenon_H2d).
% 0.20/0.51 generalize (zenon_H28 zenon_TN_bb). zenon_intro zenon_H2e.
% 0.20/0.51 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.20/0.51 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H32). zenon_intro zenon_H23. zenon_intro zenon_H12.
% 0.20/0.51 exact (zenon_H12 zenon_H13).
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H31). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.20/0.51 exact (zenon_H34 zenon_H20).
% 0.20/0.51 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H36 | zenon_intro zenon_H35 ].
% 0.20/0.51 exact (zenon_H36 zenon_H2c).
% 0.20/0.51 exact (zenon_H35 zenon_H1f).
% 0.20/0.51 exact (zenon_H12 zenon_H13).
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 760
% 0.20/0.51 max branch formulas: 337
% 0.20/0.51 proof nodes created: 98
% 0.20/0.51 formulas created: 2733
% 0.20/0.51
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