TSTP Solution File: NUM434+1 by Zenon---0.7.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM434+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n018.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 15:55:37 EDT 2022
% Result : Theorem 256.26s 256.55s
% Output : Proof 256.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM434+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n018.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 08:12:08 EDT 2022
% 0.12/0.33 % CPUTime :
% 256.26/256.55 (* PROOF-FOUND *)
% 256.26/256.55 % SZS status Theorem
% 256.26/256.55 (* BEGIN-PROOF *)
% 256.26/256.55 % SZS output start Proof
% 256.26/256.55 Theorem m__ : (exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (sdtasdt0 (xp) (xq)) W0) = (sdtpldt0 (xa) (smndt0 (xb)))))).
% 256.26/256.55 Proof.
% 256.26/256.55 assert (zenon_L1_ : (~(aInteger0 (sdtpldt0 (xa) (smndt0 (xb))))) -> (aInteger0 (xb)) -> (aInteger0 (xa)) -> False).
% 256.26/256.55 do 0 intro. intros zenon_H19 zenon_H1a zenon_H1b.
% 256.26/256.55 generalize (mIntPlus (xa)). zenon_intro zenon_H1c.
% 256.26/256.55 generalize (zenon_H1c (smndt0 (xb))). zenon_intro zenon_H1d.
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H1d); [ zenon_intro zenon_H1f | zenon_intro zenon_H1e ].
% 256.26/256.55 apply (zenon_notand_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 256.26/256.55 exact (zenon_H21 zenon_H1b).
% 256.26/256.55 generalize (mIntNeg (xb)). zenon_intro zenon_H22.
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H22); [ zenon_intro zenon_H24 | zenon_intro zenon_H23 ].
% 256.26/256.55 exact (zenon_H24 zenon_H1a).
% 256.26/256.55 exact (zenon_H20 zenon_H23).
% 256.26/256.55 exact (zenon_H19 zenon_H1e).
% 256.26/256.55 (* end of lemma zenon_L1_ *)
% 256.26/256.55 assert (zenon_L2_ : (~(aInteger0 (sdtasdt0 (xp) (xq)))) -> (aInteger0 (xq)) -> (aInteger0 (xp)) -> False).
% 256.26/256.55 do 0 intro. intros zenon_H25 zenon_H26 zenon_H27.
% 256.26/256.55 generalize (mIntMult (xp)). zenon_intro zenon_H28.
% 256.26/256.55 generalize (zenon_H28 (xq)). zenon_intro zenon_H29.
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 256.26/256.55 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 256.26/256.55 exact (zenon_H2d zenon_H27).
% 256.26/256.55 exact (zenon_H2c zenon_H26).
% 256.26/256.55 exact (zenon_H25 zenon_H2a).
% 256.26/256.55 (* end of lemma zenon_L2_ *)
% 256.26/256.55 apply NNPP. intro zenon_G.
% 256.26/256.55 apply (zenon_and_s _ _ m__979). zenon_intro zenon_H1b. zenon_intro zenon_H2e.
% 256.26/256.55 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H1a. zenon_intro zenon_H2f.
% 256.26/256.55 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H27. zenon_intro zenon_H30.
% 256.26/256.55 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H32. zenon_intro zenon_H31.
% 256.26/256.55 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H26. zenon_intro zenon_H33.
% 256.26/256.55 generalize (mDivisor (sdtpldt0 (xa) (smndt0 (xb)))). zenon_intro zenon_H34.
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H34); [ zenon_intro zenon_H19 | zenon_intro zenon_H35 ].
% 256.26/256.55 apply (zenon_L1_); trivial.
% 256.26/256.55 generalize (mEquMod (xa)). zenon_intro zenon_H36.
% 256.26/256.55 generalize (zenon_H36 (xb)). zenon_intro zenon_H37.
% 256.26/256.55 generalize (mZeroDiv (xp)). zenon_intro zenon_H38.
% 256.26/256.55 generalize (zenon_H38 (xq)). zenon_intro zenon_H39.
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H39); [ zenon_intro zenon_H2b | zenon_intro zenon_H3a ].
% 256.26/256.55 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ].
% 256.26/256.55 exact (zenon_H2d zenon_H27).
% 256.26/256.55 exact (zenon_H2c zenon_H26).
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H3a); [ zenon_intro zenon_H3c | zenon_intro zenon_H3b ].
% 256.26/256.55 generalize (zenon_H35 (sdtasdt0 (xp) (xq))). zenon_intro zenon_H3d.
% 256.26/256.55 apply (zenon_equiv_s _ _ zenon_H3d); [ zenon_intro zenon_H41; zenon_intro zenon_H40 | zenon_intro zenon_H3f; zenon_intro zenon_H3e ].
% 256.26/256.55 generalize (zenon_H37 (sdtasdt0 (xp) (xq))). zenon_intro zenon_H42.
% 256.26/256.55 apply (zenon_imply_s _ _ zenon_H42); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ].
% 256.26/256.55 apply (zenon_notand_s _ _ zenon_H44); [ zenon_intro zenon_H21 | zenon_intro zenon_H45 ].
% 256.26/256.55 exact (zenon_H21 zenon_H1b).
% 256.26/256.55 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H24 | zenon_intro zenon_H46 ].
% 256.26/256.55 exact (zenon_H24 zenon_H1a).
% 256.26/256.55 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H25 | zenon_intro zenon_H47 ].
% 256.26/256.55 apply (zenon_L2_); trivial.
% 256.26/256.55 exact (zenon_H47 zenon_H3c).
% 256.26/256.55 apply (zenon_equiv_s _ _ zenon_H43); [ zenon_intro zenon_H48; zenon_intro zenon_H41 | zenon_intro m__1003; zenon_intro zenon_H3f ].
% 256.26/256.55 exact (zenon_H48 m__1003).
% 256.26/256.55 exact (zenon_H41 zenon_H3f).
% 256.26/256.55 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H2a. zenon_intro zenon_H49.
% 256.26/256.55 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H3c. zenon_intro zenon_H4a.
% 256.26/256.55 exact (zenon_G zenon_H4a).
% 256.26/256.55 apply (zenon_or_s _ _ zenon_H3b); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 256.26/256.55 exact (zenon_H32 zenon_H4c).
% 256.26/256.55 exact (zenon_H33 zenon_H4b).
% 256.26/256.55 Qed.
% 256.26/256.55 % SZS output end Proof
% 256.26/256.55 (* END-PROOF *)
% 256.26/256.55 nodes searched: 312946
% 256.26/256.55 max branch formulas: 44019
% 256.26/256.55 proof nodes created: 9358
% 256.26/256.55 formulas created: 5662405
% 256.26/256.55
%------------------------------------------------------------------------------