TSTP Solution File: GEO208+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 07:00:51 EDT 2022
% Result : Theorem 0.14s 0.41s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO208+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09 % Command : run_zenon %s %d
% 0.09/0.28 % Computer : n004.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 600
% 0.09/0.28 % DateTime : Fri Jun 17 22:21:08 EDT 2022
% 0.09/0.29 % CPUTime :
% 0.14/0.41 (* PROOF-FOUND *)
% 0.14/0.41 % SZS status Theorem
% 0.14/0.41 (* BEGIN-PROOF *)
% 0.14/0.41 % SZS output start Proof
% 0.14/0.41 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((incident_point_and_line X Y)/\((incident_point_and_line X Z)/\(parallel_lines Y Z)))->(equal_lines Y Z))))).
% 0.14/0.41 Proof.
% 0.14/0.41 apply NNPP. intro zenon_G.
% 0.14/0.41 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((incident_point_and_line X Y)/\((incident_point_and_line X Z)/\(parallel_lines Y Z)))->(equal_lines Y Z))))) zenon_G); [ zenon_intro zenon_H24; idtac ].
% 0.14/0.41 elim zenon_H24. zenon_intro zenon_TX_bl. zenon_intro zenon_H26.
% 0.14/0.41 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((incident_point_and_line zenon_TX_bl Y)/\((incident_point_and_line zenon_TX_bl Z)/\(parallel_lines Y Z)))->(equal_lines Y Z)))) zenon_H26); [ zenon_intro zenon_H27; idtac ].
% 0.14/0.41 elim zenon_H27. zenon_intro zenon_TY_bo. zenon_intro zenon_H29.
% 0.14/0.41 apply (zenon_notallex_s (fun Z : zenon_U => (((incident_point_and_line zenon_TX_bl zenon_TY_bo)/\((incident_point_and_line zenon_TX_bl Z)/\(parallel_lines zenon_TY_bo Z)))->(equal_lines zenon_TY_bo Z))) zenon_H29); [ zenon_intro zenon_H2a; idtac ].
% 0.14/0.41 elim zenon_H2a. zenon_intro zenon_TZ_br. zenon_intro zenon_H2c.
% 0.14/0.41 apply (zenon_notimply_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.14/0.41 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.14/0.41 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 0.14/0.41 generalize (a3 zenon_TY_bo). zenon_intro zenon_H33.
% 0.14/0.41 generalize (zenon_H33 zenon_TZ_br). zenon_intro zenon_H34.
% 0.14/0.41 apply (zenon_equiv_s _ _ zenon_H34); [ zenon_intro zenon_H37; zenon_intro zenon_H36 | zenon_intro zenon_H31; zenon_intro zenon_H35 ].
% 0.14/0.41 exact (zenon_H37 zenon_H31).
% 0.14/0.41 generalize (ax2 zenon_TY_bo). zenon_intro zenon_H38.
% 0.14/0.41 generalize (zenon_H38 zenon_TZ_br). zenon_intro zenon_H39.
% 0.14/0.41 apply (zenon_equiv_s _ _ zenon_H39); [ zenon_intro zenon_H2d; zenon_intro zenon_H3c | zenon_intro zenon_H3b; zenon_intro zenon_H3a ].
% 0.14/0.41 apply zenon_H3c. zenon_intro zenon_H3d.
% 0.14/0.41 generalize (p1 zenon_TY_bo). zenon_intro zenon_H3e.
% 0.14/0.41 generalize (zenon_H3e zenon_TZ_br). zenon_intro zenon_H3f.
% 0.14/0.41 apply (zenon_imply_s _ _ zenon_H3f); [ zenon_intro zenon_H3a | zenon_intro zenon_H40 ].
% 0.14/0.41 exact (zenon_H3a zenon_H3d).
% 0.14/0.41 exact (zenon_H35 zenon_H40).
% 0.14/0.41 exact (zenon_H2d zenon_H3b).
% 0.14/0.41 Qed.
% 0.14/0.41 % SZS output end Proof
% 0.14/0.41 (* END-PROOF *)
% 0.14/0.41 nodes searched: 272
% 0.14/0.41 max branch formulas: 255
% 0.14/0.41 proof nodes created: 32
% 0.14/0.41 formulas created: 2030
% 0.14/0.41
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