TSTP Solution File: GEO208+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 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 07:00:50 EDT 2022
% Result : Theorem 0.17s 0.48s
% Output : Proof 0.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO208+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 11:39:44 EDT 2022
% 0.12/0.32 % 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 X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((~(apart_point_and_line X Y))/\((~(apart_point_and_line X Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z)))))).
% 0.17/0.48 Proof.
% 0.17/0.48 apply NNPP. intro zenon_G.
% 0.17/0.48 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((~(apart_point_and_line X Y))/\((~(apart_point_and_line X Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z)))))) zenon_G); [ zenon_intro zenon_H12; idtac ].
% 0.17/0.48 elim zenon_H12. zenon_intro zenon_TX_t. zenon_intro zenon_H14.
% 0.17/0.48 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((~(apart_point_and_line zenon_TX_t Y))/\((~(apart_point_and_line zenon_TX_t Z))/\(~(convergent_lines Y Z))))->(~(distinct_lines Y Z))))) zenon_H14); [ zenon_intro zenon_H15; idtac ].
% 0.17/0.48 elim zenon_H15. zenon_intro zenon_TY_w. zenon_intro zenon_H17.
% 0.17/0.48 apply (zenon_notallex_s (fun Z : zenon_U => (((~(apart_point_and_line zenon_TX_t zenon_TY_w))/\((~(apart_point_and_line zenon_TX_t Z))/\(~(convergent_lines zenon_TY_w Z))))->(~(distinct_lines zenon_TY_w Z)))) zenon_H17); [ zenon_intro zenon_H18; idtac ].
% 0.17/0.48 elim zenon_H18. zenon_intro zenon_TZ_z. zenon_intro zenon_H1a.
% 0.17/0.48 apply (zenon_notimply_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 0.17/0.48 apply zenon_H1b. zenon_intro zenon_H1d.
% 0.17/0.48 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e.
% 0.17/0.48 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20.
% 0.17/0.48 generalize (cup1 zenon_TX_t). zenon_intro zenon_H22.
% 0.17/0.48 generalize (zenon_H22 zenon_TY_w). zenon_intro zenon_H23.
% 0.17/0.48 generalize (zenon_H23 zenon_TZ_z). zenon_intro zenon_H24.
% 0.17/0.48 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 0.17/0.48 exact (zenon_H26 zenon_H1d).
% 0.17/0.48 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ].
% 0.17/0.48 exact (zenon_H1f zenon_H28).
% 0.17/0.48 apply (zenon_or_s _ _ zenon_H27); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 0.17/0.48 exact (zenon_H21 zenon_H2a).
% 0.17/0.48 exact (zenon_H20 zenon_H29).
% 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: 252
% 0.17/0.48 max branch formulas: 214
% 0.17/0.48 proof nodes created: 42
% 0.17/0.48 formulas created: 1589
% 0.17/0.48
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