TSTP Solution File: NUM429+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM429+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n028.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 15:55:34 EDT 2022
% Result : Theorem 2.34s 2.58s
% Output : Proof 2.34s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM429+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n028.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 : Wed Jul 6 00:15:36 EDT 2022
% 0.12/0.34 % CPUTime :
% 2.34/2.58 (* PROOF-FOUND *)
% 2.34/2.58 % SZS status Theorem
% 2.34/2.58 (* BEGIN-PROOF *)
% 2.34/2.58 % SZS output start Proof
% 2.34/2.58 Theorem m__ : (exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))).
% 2.34/2.58 Proof.
% 2.34/2.58 assert (zenon_L1_ : ((aInteger0 (xq))/\((~((xq) = (sz00)))/\(exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))))) -> (~(exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))) -> False).
% 2.34/2.58 do 0 intro. intros zenon_H18 zenon_G.
% 2.34/2.58 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 2.34/2.58 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 2.34/2.58 exact (zenon_G zenon_H1b).
% 2.34/2.58 (* end of lemma zenon_L1_ *)
% 2.34/2.58 apply NNPP. intro zenon_G.
% 2.34/2.58 apply (zenon_and_s _ _ m__818). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 2.34/2.58 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 2.34/2.58 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H1a. zenon_intro zenon_H21.
% 2.34/2.58 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H1c. zenon_intro zenon_H22.
% 2.34/2.58 apply (zenon_and_s _ _ m__853). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 2.34/2.58 generalize (mDivisor (sdtpldt0 (xa) (smndt0 (xb)))). zenon_intro zenon_H25.
% 2.34/2.58 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ].
% 2.34/2.58 generalize (mIntPlus (xa)). zenon_intro zenon_H28.
% 2.34/2.58 generalize (zenon_H28 (smndt0 (xb))). zenon_intro zenon_H29.
% 2.34/2.58 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 2.34/2.58 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 2.34/2.58 exact (zenon_H2d zenon_H1e).
% 2.34/2.58 generalize (mIntNeg (xb)). zenon_intro zenon_H2e.
% 2.34/2.58 apply (zenon_imply_s _ _ zenon_H2e); [ zenon_intro zenon_H30 | zenon_intro zenon_H2f ].
% 2.34/2.58 exact (zenon_H30 zenon_H20).
% 2.34/2.58 exact (zenon_H2c zenon_H2f).
% 2.34/2.58 exact (zenon_H27 zenon_H2a).
% 2.34/2.58 generalize (mEquMod (xa)). zenon_intro zenon_H31.
% 2.34/2.58 generalize (zenon_H31 (xb)). zenon_intro zenon_H32.
% 2.34/2.58 generalize (zenon_H26 (xq)). zenon_intro zenon_H33.
% 2.34/2.58 apply (zenon_equiv_s _ _ zenon_H33); [ zenon_intro zenon_H36; zenon_intro zenon_H35 | zenon_intro zenon_H34; zenon_intro zenon_H18 ].
% 2.34/2.58 generalize (zenon_H32 (xq)). zenon_intro zenon_H37.
% 2.34/2.58 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_H39 | zenon_intro zenon_H38 ].
% 2.34/2.58 apply (zenon_notand_s _ _ zenon_H39); [ zenon_intro zenon_H2d | zenon_intro zenon_H3a ].
% 2.34/2.58 exact (zenon_H2d zenon_H1e).
% 2.34/2.58 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H30 | zenon_intro zenon_H3b ].
% 2.34/2.58 exact (zenon_H30 zenon_H20).
% 2.34/2.58 apply (zenon_notand_s _ _ zenon_H3b); [ zenon_intro zenon_H3d | zenon_intro zenon_H3c ].
% 2.34/2.58 exact (zenon_H3d zenon_H1a).
% 2.34/2.58 exact (zenon_H3c zenon_H1c).
% 2.34/2.58 apply (zenon_equiv_s _ _ zenon_H38); [ zenon_intro zenon_H3e; zenon_intro zenon_H36 | zenon_intro zenon_H24; zenon_intro zenon_H34 ].
% 2.34/2.58 exact (zenon_H3e zenon_H24).
% 2.34/2.58 exact (zenon_H36 zenon_H34).
% 2.34/2.58 apply (zenon_L1_); trivial.
% 2.34/2.58 Qed.
% 2.34/2.58 % SZS output end Proof
% 2.34/2.58 (* END-PROOF *)
% 2.34/2.58 nodes searched: 13687
% 2.34/2.58 max branch formulas: 2986
% 2.34/2.58 proof nodes created: 571
% 2.34/2.58 formulas created: 135364
% 2.34/2.58
%------------------------------------------------------------------------------