TSTP Solution File: RNG072+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG072+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 20:48:24 EDT 2022
% Result : Theorem 0.39s 0.56s
% Output : Proof 0.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : RNG072+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % 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 : Mon May 30 16:52:05 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.39/0.56 (* PROOF-FOUND *)
% 0.39/0.56 % SZS status Theorem
% 0.39/0.56 (* BEGIN-PROOF *)
% 0.39/0.56 % SZS output start Proof
% 0.39/0.56 Theorem m__ : (sdtlseqdt0 (sdtasdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xR) (xS))) (sdtasdt0 (sdtpldt0 (xP) (xP)) (sdtpldt0 (xP) (xP)))).
% 0.39/0.56 Proof.
% 0.39/0.56 assert (zenon_L1_ : (~(aScalar0 (sdtpldt0 (xR) (xS)))) -> (aScalar0 (xS)) -> (aScalar0 (xR)) -> False).
% 0.39/0.56 do 0 intro. intros zenon_H3f zenon_H40 zenon_H41.
% 0.39/0.56 generalize (mSumSc (xR)). zenon_intro zenon_H42.
% 0.39/0.56 generalize (zenon_H42 (xS)). zenon_intro zenon_H43.
% 0.39/0.56 apply (zenon_imply_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H45); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ].
% 0.39/0.56 exact (zenon_H47 zenon_H41).
% 0.39/0.56 exact (zenon_H46 zenon_H40).
% 0.39/0.56 exact (zenon_H3f zenon_H44).
% 0.39/0.56 (* end of lemma zenon_L1_ *)
% 0.39/0.56 assert (zenon_L2_ : (~(aScalar0 (sdtpldt0 (xP) (xP)))) -> (aScalar0 (xP)) -> False).
% 0.39/0.56 do 0 intro. intros zenon_H48 zenon_H49.
% 0.39/0.56 generalize (mSumSc (xP)). zenon_intro zenon_H4a.
% 0.39/0.56 generalize (zenon_H4a (xP)). zenon_intro zenon_H4b.
% 0.39/0.56 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ].
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H4d); [ zenon_intro zenon_H4e | zenon_intro zenon_H4e ].
% 0.39/0.56 exact (zenon_H4e zenon_H49).
% 0.39/0.56 exact (zenon_H4e zenon_H49).
% 0.39/0.56 exact (zenon_H48 zenon_H4c).
% 0.39/0.56 (* end of lemma zenon_L2_ *)
% 0.39/0.56 apply NNPP. intro zenon_G.
% 0.39/0.56 apply (zenon_and_s _ _ m__1892). zenon_intro zenon_H41. zenon_intro zenon_H4f.
% 0.39/0.56 apply (zenon_and_s _ _ m__1911). zenon_intro zenon_H49. zenon_intro zenon_H50.
% 0.39/0.56 apply (zenon_and_s _ _ m__1930). zenon_intro zenon_H40. zenon_intro zenon_H51.
% 0.39/0.56 apply (zenon_and_s _ _ m__2628). zenon_intro zenon_H53. zenon_intro zenon_H52.
% 0.39/0.56 generalize (mLEMonM (sdtpldt0 (xR) (xS))). zenon_intro zenon_H54.
% 0.39/0.56 generalize (zenon_H54 (sdtpldt0 (xP) (xP))). zenon_intro zenon_H55.
% 0.39/0.56 generalize (zenon_H55 (sdtpldt0 (xR) (xS))). zenon_intro zenon_H56.
% 0.39/0.56 generalize (zenon_H56 (sdtpldt0 (xP) (xP))). zenon_intro zenon_H57.
% 0.39/0.56 apply (zenon_imply_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ].
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_H3f | zenon_intro zenon_H5a ].
% 0.39/0.56 apply (zenon_L1_); trivial.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H48 | zenon_intro zenon_H5b ].
% 0.39/0.56 apply (zenon_L2_); trivial.
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H5b); [ zenon_intro zenon_H3f | zenon_intro zenon_H48 ].
% 0.39/0.56 apply (zenon_L1_); trivial.
% 0.39/0.56 apply (zenon_L2_); trivial.
% 0.39/0.56 apply (zenon_imply_s _ _ zenon_H58); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ].
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H5d); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ].
% 0.39/0.56 exact (zenon_H5f m__2610).
% 0.39/0.56 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H60 | zenon_intro zenon_H5f ].
% 0.39/0.56 exact (zenon_H60 zenon_H53).
% 0.39/0.56 exact (zenon_H5f m__2610).
% 0.39/0.56 exact (zenon_G zenon_H5c).
% 0.39/0.56 Qed.
% 0.39/0.56 % SZS output end Proof
% 0.39/0.56 (* END-PROOF *)
% 0.39/0.56 nodes searched: 725
% 0.39/0.56 max branch formulas: 625
% 0.39/0.56 proof nodes created: 34
% 0.39/0.56 formulas created: 9889
% 0.39/0.56
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