TSTP Solution File: GEO233+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n005.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 07:01:09 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO233+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n005.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 13:38:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.55 (* PROOF-FOUND *)
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 (* BEGIN-PROOF *)
% 0.20/0.55 % SZS output start Proof
% 0.20/0.55 Theorem con : (forall L : zenon_U, (~(unequally_directed_lines (reverse_line (reverse_line L)) L))).
% 0.20/0.55 Proof.
% 0.20/0.55 assert (zenon_L1_ : forall (zenon_TL_bi : zenon_U), ((unequally_directed_lines zenon_TL_bi zenon_TL_bi)/\(unequally_directed_lines zenon_TL_bi (reverse_line zenon_TL_bi))) -> (~(unequally_directed_lines zenon_TL_bi zenon_TL_bi)) -> False).
% 0.20/0.55 do 1 intro. intros zenon_H20 zenon_H21.
% 0.20/0.55 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 0.20/0.55 exact (zenon_H21 zenon_H24).
% 0.20/0.55 (* end of lemma zenon_L1_ *)
% 0.20/0.55 assert (zenon_L2_ : forall (zenon_TL_bi : zenon_U), ((unequally_directed_lines (reverse_line zenon_TL_bi) zenon_TL_bi)/\(unequally_directed_lines (reverse_line zenon_TL_bi) (reverse_line zenon_TL_bi))) -> (~(unequally_directed_lines (reverse_line zenon_TL_bi) (reverse_line zenon_TL_bi))) -> False).
% 0.20/0.55 do 1 intro. intros zenon_H25 zenon_H26.
% 0.20/0.55 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 0.20/0.55 exact (zenon_H26 zenon_H27).
% 0.20/0.55 (* end of lemma zenon_L2_ *)
% 0.20/0.55 apply NNPP. intro zenon_G.
% 0.20/0.55 apply (zenon_notallex_s (fun L : zenon_U => (~(unequally_directed_lines (reverse_line (reverse_line L)) L))) zenon_G); [ zenon_intro zenon_H29; idtac ].
% 0.20/0.55 elim zenon_H29. zenon_intro zenon_TL_bi. zenon_intro zenon_H2a.
% 0.20/0.55 apply zenon_H2a. zenon_intro zenon_H2b.
% 0.20/0.55 generalize (oag5 zenon_TL_bi). zenon_intro zenon_H21.
% 0.20/0.55 generalize (oag5 (reverse_line zenon_TL_bi)). zenon_intro zenon_H26.
% 0.20/0.55 generalize (oag7 (reverse_line (reverse_line zenon_TL_bi))). zenon_intro zenon_H2c.
% 0.20/0.55 generalize (zenon_H2c zenon_TL_bi). zenon_intro zenon_H2d.
% 0.20/0.55 generalize (zenon_H2d zenon_TL_bi). zenon_intro zenon_H2e.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 0.20/0.55 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.20/0.55 exact (zenon_H32 zenon_H2b).
% 0.20/0.55 generalize (oag6 (reverse_line (reverse_line zenon_TL_bi))). zenon_intro zenon_H33.
% 0.20/0.55 generalize (zenon_H33 zenon_TL_bi). zenon_intro zenon_H34.
% 0.20/0.55 generalize (zenon_H34 (reverse_line zenon_TL_bi)). zenon_intro zenon_H35.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H32 | zenon_intro zenon_H36 ].
% 0.20/0.55 exact (zenon_H32 zenon_H2b).
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H37 | zenon_intro zenon_H23 ].
% 0.20/0.55 exact (zenon_H31 zenon_H37).
% 0.20/0.55 generalize (oag7 zenon_TL_bi). zenon_intro zenon_H38.
% 0.20/0.55 generalize (zenon_H38 (reverse_line zenon_TL_bi)). zenon_intro zenon_H39.
% 0.20/0.55 generalize (zenon_H39 zenon_TL_bi). zenon_intro zenon_H3a.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.20/0.55 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.20/0.55 exact (zenon_H3e zenon_H23).
% 0.20/0.55 generalize (zenon_H34 (reverse_line (reverse_line zenon_TL_bi))). zenon_intro zenon_H3f.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H32 | zenon_intro zenon_H40 ].
% 0.20/0.55 exact (zenon_H32 zenon_H2b).
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ].
% 0.20/0.55 generalize (zenon_H33 (reverse_line (reverse_line zenon_TL_bi))). zenon_intro zenon_H43.
% 0.20/0.55 generalize (zenon_H43 (reverse_line zenon_TL_bi)). zenon_intro zenon_H44.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H44); [ zenon_intro zenon_H46 | zenon_intro zenon_H45 ].
% 0.20/0.55 exact (zenon_H46 zenon_H42).
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H37 | zenon_intro zenon_H37 ].
% 0.20/0.55 exact (zenon_H31 zenon_H37).
% 0.20/0.55 exact (zenon_H31 zenon_H37).
% 0.20/0.55 exact (zenon_H3d zenon_H41).
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H25 ].
% 0.20/0.55 apply (zenon_L1_ zenon_TL_bi); trivial.
% 0.20/0.55 apply (zenon_L2_ zenon_TL_bi); trivial.
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H47 | zenon_intro zenon_H20 ].
% 0.20/0.55 apply (zenon_and_s _ _ zenon_H47). zenon_intro zenon_H2b. zenon_intro zenon_H37.
% 0.20/0.55 generalize (zenon_H2d (reverse_line zenon_TL_bi)). zenon_intro zenon_H48.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H48); [ zenon_intro zenon_H30 | zenon_intro zenon_H49 ].
% 0.20/0.55 apply (zenon_notand_s _ _ zenon_H30); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.20/0.55 exact (zenon_H32 zenon_H2b).
% 0.20/0.55 exact (zenon_H31 zenon_H37).
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ].
% 0.20/0.55 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H37. zenon_intro zenon_H42.
% 0.20/0.55 generalize (oag5 (reverse_line (reverse_line zenon_TL_bi))). zenon_intro zenon_H46.
% 0.20/0.55 exact (zenon_H46 zenon_H42).
% 0.20/0.55 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H23. zenon_intro zenon_H41.
% 0.20/0.55 generalize (oag7 zenon_TL_bi). zenon_intro zenon_H38.
% 0.20/0.55 generalize (zenon_H38 (reverse_line zenon_TL_bi)). zenon_intro zenon_H39.
% 0.20/0.55 generalize (zenon_H39 zenon_TL_bi). zenon_intro zenon_H3a.
% 0.20/0.55 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.20/0.55 apply (zenon_notand_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.20/0.55 exact (zenon_H3e zenon_H23).
% 0.20/0.55 exact (zenon_H3d zenon_H41).
% 0.20/0.55 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H20 | zenon_intro zenon_H25 ].
% 0.20/0.55 apply (zenon_L1_ zenon_TL_bi); trivial.
% 0.20/0.55 apply (zenon_L2_ zenon_TL_bi); trivial.
% 0.20/0.55 apply (zenon_L1_ zenon_TL_bi); trivial.
% 0.20/0.55 Qed.
% 0.20/0.55 % SZS output end Proof
% 0.20/0.55 (* END-PROOF *)
% 0.20/0.55 nodes searched: 1289
% 0.20/0.55 max branch formulas: 553
% 0.20/0.55 proof nodes created: 110
% 0.20/0.55 formulas created: 5117
% 0.20/0.55
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