TSTP Solution File: GEO247+3 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n003.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 07:01:17 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO247+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n003.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Fri Jun 17 20:25:42 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.53 (* PROOF-FOUND *)
% 0.19/0.53 % SZS status Theorem
% 0.19/0.53 (* BEGIN-PROOF *)
% 0.19/0.53 % SZS output start Proof
% 0.19/0.53 Theorem con : (forall A : zenon_U, (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\((left_apart_point A M)/\((right_apart_point B L)/\((right_apart_point B M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M)))))))).
% 0.19/0.53 Proof.
% 0.19/0.53 apply NNPP. intro zenon_G.
% 0.19/0.53 apply (zenon_notallex_s (fun A : zenon_U => (forall B : zenon_U, (forall C : zenon_U, (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point A L)/\((left_apart_point A M)/\((right_apart_point B L)/\((right_apart_point B M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M)))))))) zenon_G); [ zenon_intro zenon_H25; idtac ].
% 0.19/0.53 elim zenon_H25. zenon_intro zenon_TA_bm. zenon_intro zenon_H27.
% 0.19/0.53 apply (zenon_notallex_s (fun B : zenon_U => (forall C : zenon_U, (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point B L)/\((right_apart_point B M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M))))))) zenon_H27); [ zenon_intro zenon_H28; idtac ].
% 0.19/0.53 elim zenon_H28. zenon_intro zenon_TB_bp. zenon_intro zenon_H2a.
% 0.19/0.53 apply (zenon_notallex_s (fun C : zenon_U => (forall D : zenon_U, (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp L)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point C L)/\((right_apart_point C M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M)))))) zenon_H2a); [ zenon_intro zenon_H2b; idtac ].
% 0.19/0.53 elim zenon_H2b. zenon_intro zenon_TC_bs. zenon_intro zenon_H2d.
% 0.19/0.53 apply (zenon_notallex_s (fun D : zenon_U => (forall L : zenon_U, (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp L)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point zenon_TC_bs L)/\((right_apart_point zenon_TC_bs M)/\((right_apart_point D L)/\(left_apart_point D M))))))))->(convergent_lines L M))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ].
% 0.19/0.53 elim zenon_H2e. zenon_intro zenon_TD_bv. zenon_intro zenon_H30.
% 0.19/0.53 apply (zenon_notallex_s (fun L : zenon_U => (forall M : zenon_U, (((left_apart_point zenon_TA_bm L)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp L)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point zenon_TC_bs L)/\((right_apart_point zenon_TC_bs M)/\((right_apart_point zenon_TD_bv L)/\(left_apart_point zenon_TD_bv M))))))))->(convergent_lines L M)))) zenon_H30); [ zenon_intro zenon_H31; idtac ].
% 0.19/0.53 elim zenon_H31. zenon_intro zenon_TL_by. zenon_intro zenon_H33.
% 0.19/0.53 apply (zenon_notallex_s (fun M : zenon_U => (((left_apart_point zenon_TA_bm zenon_TL_by)/\((left_apart_point zenon_TA_bm M)/\((right_apart_point zenon_TB_bp zenon_TL_by)/\((right_apart_point zenon_TB_bp M)/\((left_apart_point zenon_TC_bs zenon_TL_by)/\((right_apart_point zenon_TC_bs M)/\((right_apart_point zenon_TD_bv zenon_TL_by)/\(left_apart_point zenon_TD_bv M))))))))->(convergent_lines zenon_TL_by M))) zenon_H33); [ zenon_intro zenon_H34; idtac ].
% 0.19/0.53 elim zenon_H34. zenon_intro zenon_TM_cb. zenon_intro zenon_H36.
% 0.19/0.53 apply (zenon_notimply_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3a. zenon_intro zenon_H39.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H39). zenon_intro zenon_H3c. zenon_intro zenon_H3b.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H3b). zenon_intro zenon_H3e. zenon_intro zenon_H3d.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_H40. zenon_intro zenon_H3f.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H42. zenon_intro zenon_H41.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H41). zenon_intro zenon_H44. zenon_intro zenon_H43.
% 0.19/0.53 apply (zenon_and_s _ _ zenon_H43). zenon_intro zenon_H46. zenon_intro zenon_H45.
% 0.19/0.53 generalize (ax10_basics zenon_TD_bv). zenon_intro zenon_H47.
% 0.19/0.53 generalize (zenon_H47 zenon_TM_cb). zenon_intro zenon_H48.
% 0.19/0.53 apply (zenon_notor_s _ _ zenon_H48). zenon_intro zenon_H4a. zenon_intro zenon_H49.
% 0.19/0.53 exact (zenon_H4a zenon_H45).
% 0.19/0.53 Qed.
% 0.19/0.53 % SZS output end Proof
% 0.19/0.53 (* END-PROOF *)
% 0.19/0.53 nodes searched: 651
% 0.19/0.53 max branch formulas: 517
% 0.19/0.53 proof nodes created: 42
% 0.19/0.53 formulas created: 4293
% 0.19/0.53
%------------------------------------------------------------------------------