TSTP Solution File: GEO236+3 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO236+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n026.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 07:01:11 EDT 2022
% Result : Theorem 0.20s 0.51s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO236+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.12 % Command : run_zenon %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 15:46:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.51 (* PROOF-FOUND *)
% 0.20/0.51 % SZS status Theorem
% 0.20/0.51 (* BEGIN-PROOF *)
% 0.20/0.51 % SZS output start Proof
% 0.20/0.51 Theorem con : (forall A : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\(right_apart_point A M))->((unequally_directed_lines L M)\/(distinct_lines L M)))))).
% 0.20/0.51 Proof.
% 0.20/0.51 apply NNPP. intro zenon_G.
% 0.20/0.51 apply (zenon_notallex_s (fun A : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\(right_apart_point A M))->((unequally_directed_lines L M)\/(distinct_lines L M)))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.20/0.51 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.20/0.51 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\(right_apart_point zenon_TA_bm M))->((unequally_directed_lines L M)\/(distinct_lines L M))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.20/0.51 elim zenon_H28. zenon_intro zenon_TL_bp. zenon_intro zenon_H2a.
% 0.20/0.51 apply (zenon_notallex_s (fun M : zenon_U => (((left_apart_point zenon_TA_bm zenon_TL_bp)/\(right_apart_point zenon_TA_bm M))->((unequally_directed_lines zenon_TL_bp M)\/(distinct_lines zenon_TL_bp M)))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.20/0.51 elim zenon_H2b. zenon_intro zenon_TM_bs. zenon_intro zenon_H2d.
% 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H2d). zenon_intro zenon_H2f. zenon_intro zenon_H2e.
% 0.20/0.51 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H31. zenon_intro zenon_H30.
% 0.20/0.51 generalize (ax10_basics zenon_TA_bm). zenon_intro zenon_H32.
% 0.20/0.51 generalize (zenon_H32 zenon_TL_bp). zenon_intro zenon_H33.
% 0.20/0.51 apply (zenon_notor_s _ _ zenon_H33). zenon_intro zenon_H35. zenon_intro zenon_H34.
% 0.20/0.51 exact (zenon_H35 zenon_H31).
% 0.20/0.51 Qed.
% 0.20/0.51 % SZS output end Proof
% 0.20/0.51 (* END-PROOF *)
% 0.20/0.51 nodes searched: 419
% 0.20/0.51 max branch formulas: 371
% 0.20/0.51 proof nodes created: 28
% 0.20/0.51 formulas created: 2971
% 0.20/0.51
%------------------------------------------------------------------------------