TSTP Solution File: NUM630+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM630+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n007.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 : Mon Jul 18 15:57:30 EDT 2022
% Result : Theorem 0.60s 0.77s
% Output : Proof 0.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM630+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.14 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Wed Jul 6 09:51:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.60/0.77 (* PROOF-FOUND *)
% 0.60/0.77 % SZS status Theorem
% 0.60/0.77 (* BEGIN-PROOF *)
% 0.60/0.77 % SZS output start Proof
% 0.60/0.77 Theorem m__ : ((sdtlpdtrp0 (xc) (sdtpldt0 (xP) (szmzizndt0 (sdtlpdtrp0 (xN) (xn))))) = (sdtlpdtrp0 (sdtlpdtrp0 (xC) (xn)) (xP))).
% 0.60/0.77 Proof.
% 0.60/0.77 assert (zenon_L1_ : (~((xP) = (xP))) -> False).
% 0.60/0.77 do 0 intro. intros zenon_H73.
% 0.60/0.77 apply zenon_H73. apply refl_equal.
% 0.60/0.77 (* end of lemma zenon_L1_ *)
% 0.60/0.77 assert (zenon_L2_ : (~((xk) = (xk))) -> False).
% 0.60/0.77 do 0 intro. intros zenon_H74.
% 0.60/0.77 apply zenon_H74. apply refl_equal.
% 0.60/0.77 (* end of lemma zenon_L2_ *)
% 0.60/0.77 apply NNPP. intro zenon_G.
% 0.60/0.77 apply (zenon_and_s _ _ m__4151). zenon_intro zenon_H76. zenon_intro zenon_H75.
% 0.60/0.77 apply (zenon_and_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77.
% 0.60/0.77 apply (zenon_and_s _ _ m__5164). zenon_intro zenon_H7a. zenon_intro zenon_H79.
% 0.60/0.77 apply (zenon_and_s _ _ m__5309). zenon_intro zenon_H7c. zenon_intro zenon_H7b.
% 0.60/0.77 apply (zenon_and_s _ _ zenon_H7b). zenon_intro zenon_H7e. zenon_intro zenon_H7d.
% 0.60/0.77 generalize (zenon_H77 (xn)). zenon_intro zenon_H7f.
% 0.60/0.77 apply (zenon_imply_s _ _ zenon_H7f); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ].
% 0.60/0.77 exact (zenon_H81 zenon_H7e).
% 0.60/0.77 apply (zenon_and_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82.
% 0.60/0.77 apply (zenon_and_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84.
% 0.60/0.77 generalize (zenon_H84 (xP)). zenon_intro zenon_H86.
% 0.60/0.77 apply (zenon_imply_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ].
% 0.60/0.77 apply (zenon_notand_s _ _ zenon_H88); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ].
% 0.60/0.77 exact (zenon_H8a zenon_H7a).
% 0.60/0.77 cut ((aElementOf0 (xP) (slbdtsldtrb0 (xD) (xk))) = (aElementOf0 (xP) (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))).
% 0.60/0.77 intro zenon_D_pnotp.
% 0.60/0.77 apply zenon_H89.
% 0.60/0.77 rewrite <- zenon_D_pnotp.
% 0.60/0.77 exact m__5599.
% 0.60/0.77 cut (((slbdtsldtrb0 (xD) (xk)) = (slbdtsldtrb0 (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))) (xk)))); [idtac | apply NNPP; zenon_intro zenon_H8b].
% 0.60/0.77 cut (((xP) = (xP))); [idtac | apply NNPP; zenon_intro zenon_H73].
% 0.60/0.77 congruence.
% 0.60/0.77 apply zenon_H73. apply refl_equal.
% 0.60/0.77 cut (((xk) = (xk))); [idtac | apply NNPP; zenon_intro zenon_H74].
% 0.60/0.77 cut (((xD) = (sdtmndt0 (sdtlpdtrp0 (xN) (xn)) (szmzizndt0 (sdtlpdtrp0 (xN) (xn)))))); [idtac | apply NNPP; zenon_intro zenon_H8c].
% 0.60/0.77 congruence.
% 0.60/0.77 exact (zenon_H8c m__5585).
% 0.60/0.77 apply zenon_H74. apply refl_equal.
% 0.60/0.77 apply zenon_G. apply sym_equal. exact zenon_H87.
% 0.60/0.77 Qed.
% 0.60/0.77 % SZS output end Proof
% 0.60/0.77 (* END-PROOF *)
% 0.60/0.77 nodes searched: 3621
% 0.60/0.77 max branch formulas: 2376
% 0.60/0.77 proof nodes created: 88
% 0.60/0.77 formulas created: 34998
% 0.60/0.77
%------------------------------------------------------------------------------