TSTP Solution File: GEO190+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n016.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 07:00:35 EDT 2022
% Result : Theorem 0.35s 0.53s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 03:50:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.35/0.53 (* PROOF-FOUND *)
% 0.35/0.53 % SZS status Theorem
% 0.35/0.53 (* BEGIN-PROOF *)
% 0.35/0.53 % SZS output start Proof
% 0.35/0.53 Theorem con : (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\((distinct_points X Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting X Y))))))->(~(apart_point_and_line Z (line_connecting Y X))))))).
% 0.35/0.53 Proof.
% 0.35/0.53 assert (zenon_L1_ : forall (zenon_TY_s : zenon_U) (zenon_TX_t : zenon_U), (forall Z : zenon_U, ((distinct_points zenon_TX_t zenon_TY_s)->((distinct_points zenon_TX_t Z)\/(distinct_points zenon_TY_s Z)))) -> (distinct_points zenon_TX_t zenon_TY_s) -> (~(distinct_points zenon_TY_s zenon_TX_t)) -> False).
% 0.35/0.53 do 2 intro. intros zenon_Hf zenon_H10 zenon_H11.
% 0.35/0.53 generalize (zenon_Hf zenon_TX_t). zenon_intro zenon_H14.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H16 | zenon_intro zenon_H15 ].
% 0.35/0.53 exact (zenon_H16 zenon_H10).
% 0.35/0.53 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H18 | zenon_intro zenon_H17 ].
% 0.35/0.53 generalize (apart1 zenon_TX_t). zenon_intro zenon_H19.
% 0.35/0.53 exact (zenon_H19 zenon_H18).
% 0.35/0.53 exact (zenon_H11 zenon_H17).
% 0.35/0.53 (* end of lemma zenon_L1_ *)
% 0.35/0.53 assert (zenon_L2_ : forall (zenon_TY_s : zenon_U) (zenon_TX_t : zenon_U), (apart_point_and_line zenon_TX_t (line_connecting zenon_TX_t zenon_TY_s)) -> (distinct_points zenon_TX_t zenon_TY_s) -> False).
% 0.35/0.53 do 2 intro. intros zenon_H1a zenon_H10.
% 0.35/0.53 generalize (ci1 zenon_TX_t). zenon_intro zenon_H1b.
% 0.35/0.53 generalize (zenon_H1b zenon_TY_s). zenon_intro zenon_H1c.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H1c); [ zenon_intro zenon_H16 | zenon_intro zenon_H1d ].
% 0.35/0.53 exact (zenon_H16 zenon_H10).
% 0.35/0.53 exact (zenon_H1d zenon_H1a).
% 0.35/0.53 (* end of lemma zenon_L2_ *)
% 0.35/0.53 assert (zenon_L3_ : forall (zenon_TX_t : zenon_U) (zenon_TY_s : zenon_U), (apart_point_and_line zenon_TY_s (line_connecting zenon_TX_t zenon_TY_s)) -> (distinct_points zenon_TX_t zenon_TY_s) -> False).
% 0.35/0.53 do 2 intro. intros zenon_H1e zenon_H10.
% 0.35/0.53 generalize (ci2 zenon_TX_t). zenon_intro zenon_H1f.
% 0.35/0.53 generalize (zenon_H1f zenon_TY_s). zenon_intro zenon_H20.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H20); [ zenon_intro zenon_H16 | zenon_intro zenon_H21 ].
% 0.35/0.53 exact (zenon_H16 zenon_H10).
% 0.35/0.53 exact (zenon_H21 zenon_H1e).
% 0.35/0.53 (* end of lemma zenon_L3_ *)
% 0.35/0.53 apply NNPP. intro zenon_G.
% 0.35/0.53 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (((distinct_points X Y)/\((distinct_points X Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting X Y))))))->(~(apart_point_and_line Z (line_connecting Y X))))))) zenon_G); [ zenon_intro zenon_H22; idtac ].
% 0.35/0.53 elim zenon_H22. zenon_intro zenon_TX_t. zenon_intro zenon_H23.
% 0.35/0.53 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (((distinct_points zenon_TX_t Y)/\((distinct_points zenon_TX_t Z)/\((distinct_points Y Z)/\(~(apart_point_and_line Z (line_connecting zenon_TX_t Y))))))->(~(apart_point_and_line Z (line_connecting Y zenon_TX_t)))))) zenon_H23); [ zenon_intro zenon_H24; idtac ].
% 0.35/0.53 elim zenon_H24. zenon_intro zenon_TY_s. zenon_intro zenon_H25.
% 0.35/0.53 apply (zenon_notallex_s (fun Z : zenon_U => (((distinct_points zenon_TX_t zenon_TY_s)/\((distinct_points zenon_TX_t Z)/\((distinct_points zenon_TY_s Z)/\(~(apart_point_and_line Z (line_connecting zenon_TX_t zenon_TY_s))))))->(~(apart_point_and_line Z (line_connecting zenon_TY_s zenon_TX_t))))) zenon_H25); [ zenon_intro zenon_H26; idtac ].
% 0.35/0.53 elim zenon_H26. zenon_intro zenon_TZ_bn. zenon_intro zenon_H28.
% 0.35/0.53 apply (zenon_notimply_s _ _ zenon_H28). zenon_intro zenon_H2a. zenon_intro zenon_H29.
% 0.35/0.53 apply zenon_H29. zenon_intro zenon_H2b.
% 0.35/0.53 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H10. zenon_intro zenon_H2c.
% 0.35/0.53 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2e. zenon_intro zenon_H2d.
% 0.35/0.53 apply (zenon_and_s _ _ zenon_H2d). zenon_intro zenon_H30. zenon_intro zenon_H2f.
% 0.35/0.53 generalize (cu1 zenon_TX_t). zenon_intro zenon_H31.
% 0.35/0.53 generalize (apart4 zenon_TX_t). zenon_intro zenon_H32.
% 0.35/0.53 generalize (zenon_H31 zenon_TY_s). zenon_intro zenon_H33.
% 0.35/0.53 generalize (ci1 zenon_TY_s). zenon_intro zenon_H34.
% 0.35/0.53 generalize (zenon_H32 zenon_TY_s). zenon_intro zenon_Hf.
% 0.35/0.53 generalize (ceq2 zenon_TZ_bn). zenon_intro zenon_H35.
% 0.35/0.53 generalize (ci2 zenon_TY_s). zenon_intro zenon_H36.
% 0.35/0.53 generalize (zenon_H34 zenon_TX_t). zenon_intro zenon_H37.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H11 | zenon_intro zenon_H38 ].
% 0.35/0.53 apply (zenon_L1_ zenon_TY_s zenon_TX_t); trivial.
% 0.35/0.53 generalize (zenon_H36 zenon_TX_t). zenon_intro zenon_H39.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H11 | zenon_intro zenon_H3a ].
% 0.35/0.53 apply (zenon_L1_ zenon_TY_s zenon_TX_t); trivial.
% 0.35/0.53 generalize (zenon_H35 (line_connecting zenon_TY_s zenon_TX_t)). zenon_intro zenon_H3b.
% 0.35/0.53 generalize (zenon_H3b (line_connecting zenon_TX_t zenon_TY_s)). zenon_intro zenon_H3c.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 0.35/0.53 exact (zenon_H3e zenon_H2b).
% 0.35/0.53 apply (zenon_or_s _ _ zenon_H3d); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ].
% 0.35/0.53 generalize (zenon_H33 (line_connecting zenon_TY_s zenon_TX_t)). zenon_intro zenon_H41.
% 0.35/0.53 generalize (zenon_H41 (line_connecting zenon_TX_t zenon_TY_s)). zenon_intro zenon_H42.
% 0.35/0.53 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 0.35/0.53 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H16 | zenon_intro zenon_H45 ].
% 0.35/0.53 exact (zenon_H16 zenon_H10).
% 0.35/0.53 exact (zenon_H45 zenon_H40).
% 0.35/0.53 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 0.35/0.53 exact (zenon_H3a zenon_H47).
% 0.35/0.53 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H1a | zenon_intro zenon_H48 ].
% 0.35/0.53 apply (zenon_L2_ zenon_TY_s zenon_TX_t); trivial.
% 0.35/0.53 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H49 | zenon_intro zenon_H1e ].
% 0.35/0.53 exact (zenon_H38 zenon_H49).
% 0.35/0.53 apply (zenon_L3_ zenon_TX_t zenon_TY_s); trivial.
% 0.35/0.53 exact (zenon_H2f zenon_H3f).
% 0.35/0.53 Qed.
% 0.35/0.53 % SZS output end Proof
% 0.35/0.53 (* END-PROOF *)
% 0.35/0.53 nodes searched: 576
% 0.35/0.53 max branch formulas: 345
% 0.35/0.53 proof nodes created: 79
% 0.35/0.53 formulas created: 2804
% 0.35/0.53
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