TSTP Solution File: GEO228+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 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 07:01:07 EDT 2022
% Result : Theorem 0.17s 0.48s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO228+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sat Jun 18 08:44:13 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.17/0.48 (* PROOF-FOUND *)
% 0.17/0.48 % SZS status Theorem
% 0.17/0.48 (* BEGIN-PROOF *)
% 0.17/0.48 % SZS output start Proof
% 0.17/0.48 Theorem con : (forall L : zenon_U, (forall M : zenon_U, ((~(convergent_lines L M))<->((~(unequally_directed_lines L M))\/(~(unequally_directed_lines L (reverse_line M))))))).
% 0.17/0.48 Proof.
% 0.17/0.48 apply NNPP. intro zenon_G.
% 0.17/0.48 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, ((~(convergent_lines L M))<->((~(unequally_directed_lines L M))\/(~(unequally_directed_lines L (reverse_line M))))))) zenon_G); [ zenon_intro zenon_H20; idtac ].
% 0.17/0.48 elim zenon_H20. zenon_intro zenon_TL_bh. zenon_intro zenon_H22.
% 0.17/0.48 apply (zenon_notallex_s (fun M : zenon_U => ((~(convergent_lines zenon_TL_bh M))<->((~(unequally_directed_lines zenon_TL_bh M))\/(~(unequally_directed_lines zenon_TL_bh (reverse_line M)))))) zenon_H22); [ zenon_intro zenon_H23; idtac ].
% 0.17/0.48 elim zenon_H23. zenon_intro zenon_TM_bk. zenon_intro zenon_H25.
% 0.17/0.48 apply (zenon_notequiv_s _ _ zenon_H25); [ zenon_intro zenon_H29; zenon_intro zenon_H28 | zenon_intro zenon_H27; zenon_intro zenon_H26 ].
% 0.17/0.48 apply zenon_H29. zenon_intro zenon_H2a.
% 0.17/0.48 generalize (con_def zenon_TL_bh). zenon_intro zenon_H2b.
% 0.17/0.48 generalize (zenon_H2b zenon_TM_bk). zenon_intro zenon_H2c.
% 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H27; zenon_intro zenon_H2e | zenon_intro zenon_H2a; zenon_intro zenon_H2d ].
% 0.17/0.48 exact (zenon_H27 zenon_H2a).
% 0.17/0.48 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.17/0.48 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.17/0.48 exact (zenon_H32 zenon_H30).
% 0.17/0.48 exact (zenon_H31 zenon_H2f).
% 0.17/0.48 generalize (con_def zenon_TL_bh). zenon_intro zenon_H2b.
% 0.17/0.48 generalize (zenon_H2b zenon_TM_bk). zenon_intro zenon_H2c.
% 0.17/0.48 apply (zenon_equiv_s _ _ zenon_H2c); [ zenon_intro zenon_H27; zenon_intro zenon_H2e | zenon_intro zenon_H2a; zenon_intro zenon_H2d ].
% 0.17/0.48 apply (zenon_notor_s _ _ zenon_H26). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.17/0.48 apply zenon_H34. zenon_intro zenon_H30.
% 0.17/0.48 apply zenon_H33. zenon_intro zenon_H2f.
% 0.17/0.48 apply (zenon_notand_s _ _ zenon_H2e); [ zenon_intro zenon_H32 | zenon_intro zenon_H31 ].
% 0.17/0.48 exact (zenon_H32 zenon_H30).
% 0.17/0.48 exact (zenon_H31 zenon_H2f).
% 0.17/0.48 exact (zenon_H27 zenon_H2a).
% 0.17/0.48 Qed.
% 0.17/0.48 % SZS output end Proof
% 0.17/0.48 (* END-PROOF *)
% 0.17/0.48 nodes searched: 18
% 0.17/0.48 max branch formulas: 39
% 0.17/0.48 proof nodes created: 16
% 0.17/0.48 formulas created: 569
% 0.17/0.48
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