TSTP Solution File: GEO238+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 07:01:12 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO238+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 18:02:39 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.52 (* PROOF-FOUND *)
% 0.19/0.52 % SZS status Theorem
% 0.19/0.52 (* BEGIN-PROOF *)
% 0.19/0.52 % SZS output start Proof
% 0.19/0.52 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall L : zenon_U, (((divides_points L A B)/\(divides_points L A C))->(~(divides_points L B C))))))).
% 0.19/0.52 Proof.
% 0.19/0.52 apply NNPP. intro zenon_G.
% 0.19/0.52 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall L : zenon_U, (((divides_points L A B)/\(divides_points L A C))->(~(divides_points L B C))))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.19/0.52 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.19/0.52 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall L : zenon_U, (((divides_points L zenon_TA_bm B)/\(divides_points L zenon_TA_bm C))->(~(divides_points L B C)))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.19/0.52 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.19/0.52 apply (zenon_notallex_s (fun C : zenon_U => (forall L : zenon_U, (((divides_points L zenon_TA_bm zenon_TB_bp)/\(divides_points L zenon_TA_bm C))->(~(divides_points L zenon_TB_bp C))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.19/0.52 elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d.
% 0.19/0.52 apply (zenon_notallex_s (fun L : zenon_U => (((divides_points L zenon_TA_bm zenon_TB_bp)/\(divides_points L zenon_TA_bm zenon_TC_bs))->(~(divides_points L zenon_TB_bp zenon_TC_bs)))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.19/0.52 elim zenon_H2e. zenon_intro zenon_TL_bv. zenon_intro zenon_H30.
% 0.19/0.52 apply (zenon_notimply_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.19/0.52 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H34. zenon_intro zenon_H33.
% 0.19/0.52 generalize (a8_defns zenon_TA_bm). zenon_intro zenon_H35.
% 0.19/0.52 generalize (zenon_H35 zenon_TB_bp). zenon_intro zenon_H36.
% 0.19/0.52 generalize (zenon_H36 zenon_TL_bv). zenon_intro zenon_H37.
% 0.19/0.52 apply (zenon_equiv_s _ _ zenon_H37); [ zenon_intro zenon_H3a; zenon_intro zenon_H39 | zenon_intro zenon_H34; zenon_intro zenon_H38 ].
% 0.19/0.52 exact (zenon_H3a zenon_H34).
% 0.19/0.52 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 0.19/0.52 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 0.19/0.52 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H3f.
% 0.19/0.52 generalize (zenon_H3f zenon_TL_bv). zenon_intro zenon_H40.
% 0.19/0.52 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H42. zenon_intro zenon_H41.
% 0.19/0.52 exact (zenon_H42 zenon_H3e).
% 0.19/0.52 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 0.19/0.52 generalize (ax10_basics zenon_TB_bp). zenon_intro zenon_H45.
% 0.19/0.52 generalize (zenon_H45 zenon_TL_bv). zenon_intro zenon_H46.
% 0.19/0.52 apply (zenon_notor_s _ _ zenon_H46). zenon_intro zenon_H48. zenon_intro zenon_H47.
% 0.19/0.52 exact (zenon_H48 zenon_H43).
% 0.19/0.52 Qed.
% 0.19/0.52 % SZS output end Proof
% 0.19/0.52 (* END-PROOF *)
% 0.19/0.52 nodes searched: 753
% 0.19/0.52 max branch formulas: 346
% 0.19/0.52 proof nodes created: 53
% 0.19/0.52 formulas created: 2874
% 0.19/0.52
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