TSTP Solution File: RNG070+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG070+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n027.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 259.17s 259.43s
% Output : Proof 259.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG070+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_zenon %s %d
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 08:42:16 EDT 2022
% 0.12/0.34 % CPUTime :
% 259.17/259.43 (* PROOF-FOUND *)
% 259.17/259.43 % SZS status Theorem
% 259.17/259.43 (* BEGIN-PROOF *)
% 259.17/259.43 % SZS output start Proof
% 259.17/259.43 Theorem m__ : (sdtlseqdt0 (sdtpldt0 (xR) (xS)) (sdtpldt0 (xP) (xP))).
% 259.17/259.43 Proof.
% 259.17/259.43 assert (zenon_L1_ : (~(aScalar0 (sdtasdt0 (xE) (xH)))) -> (aScalar0 (xH)) -> (aScalar0 (xE)) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H3d zenon_H3e zenon_H3f.
% 259.17/259.43 generalize (mMulSc (xE)). zenon_intro zenon_H40.
% 259.17/259.43 generalize (zenon_H40 (xH)). zenon_intro zenon_H41.
% 259.17/259.43 apply (zenon_imply_s _ _ zenon_H41); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ].
% 259.17/259.43 apply (zenon_notand_s _ _ zenon_H43); [ zenon_intro zenon_H45 | zenon_intro zenon_H44 ].
% 259.17/259.43 exact (zenon_H45 zenon_H3f).
% 259.17/259.43 exact (zenon_H44 zenon_H3e).
% 259.17/259.43 exact (zenon_H3d zenon_H42).
% 259.17/259.43 (* end of lemma zenon_L1_ *)
% 259.17/259.43 assert (zenon_L2_ : (~((xP) = (xP))) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H46.
% 259.17/259.43 apply zenon_H46. apply refl_equal.
% 259.17/259.43 (* end of lemma zenon_L2_ *)
% 259.17/259.43 assert (zenon_L3_ : (~((sdtpldt0 (sdtasdt0 (xE) (xH)) (xP)) = (sdtpldt0 (xP) (xP)))) -> ((xP) = (sdtasdt0 (xE) (xH))) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H47 zenon_H48.
% 259.17/259.43 cut (((xP) = (xP))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 259.17/259.43 cut (((sdtasdt0 (xE) (xH)) = (xP))); [idtac | apply NNPP; zenon_intro zenon_H49].
% 259.17/259.43 congruence.
% 259.17/259.43 apply zenon_H49. apply sym_equal. exact zenon_H48.
% 259.17/259.43 apply zenon_H46. apply refl_equal.
% 259.17/259.43 (* end of lemma zenon_L3_ *)
% 259.17/259.43 assert (zenon_L4_ : (forall W1 : zenon_U, (((aScalar0 (sdtasdt0 (xE) (xH)))/\(aScalar0 W1))->(aScalar0 (sdtpldt0 (sdtasdt0 (xE) (xH)) W1)))) -> (aScalar0 (xH)) -> (aScalar0 (xE)) -> (aScalar0 (xP)) -> (~(aScalar0 (sdtpldt0 (xP) (xP)))) -> ((xP) = (sdtasdt0 (xE) (xH))) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H4a zenon_H3e zenon_H3f zenon_H4b zenon_H4c zenon_H48.
% 259.17/259.43 generalize (zenon_H4a (xP)). zenon_intro zenon_H4d.
% 259.17/259.43 apply (zenon_imply_s _ _ zenon_H4d); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ].
% 259.17/259.43 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H3d | zenon_intro zenon_H50 ].
% 259.17/259.43 apply (zenon_L1_); trivial.
% 259.17/259.43 exact (zenon_H50 zenon_H4b).
% 259.17/259.43 cut ((aScalar0 (sdtpldt0 (sdtasdt0 (xE) (xH)) (xP))) = (aScalar0 (sdtpldt0 (xP) (xP)))).
% 259.17/259.43 intro zenon_D_pnotp.
% 259.17/259.43 apply zenon_H4c.
% 259.17/259.43 rewrite <- zenon_D_pnotp.
% 259.17/259.43 exact zenon_H4e.
% 259.17/259.43 cut (((sdtpldt0 (sdtasdt0 (xE) (xH)) (xP)) = (sdtpldt0 (xP) (xP)))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 259.17/259.43 congruence.
% 259.17/259.43 apply (zenon_L3_); trivial.
% 259.17/259.43 (* end of lemma zenon_L4_ *)
% 259.17/259.43 assert (zenon_L5_ : (~(aScalar0 (sdtasdt0 (xC) (xG)))) -> (aScalar0 (xG)) -> (aScalar0 (xC)) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H51 zenon_H52 zenon_H53.
% 259.17/259.43 generalize (mMulSc (xC)). zenon_intro zenon_H54.
% 259.17/259.43 generalize (zenon_H54 (xG)). zenon_intro zenon_H55.
% 259.17/259.43 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 259.17/259.43 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ].
% 259.17/259.43 exact (zenon_H59 zenon_H53).
% 259.17/259.43 exact (zenon_H58 zenon_H52).
% 259.17/259.43 exact (zenon_H51 zenon_H56).
% 259.17/259.43 (* end of lemma zenon_L5_ *)
% 259.17/259.43 assert (zenon_L6_ : (~((xS) = (xS))) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H5a.
% 259.17/259.43 apply zenon_H5a. apply refl_equal.
% 259.17/259.43 (* end of lemma zenon_L6_ *)
% 259.17/259.43 assert (zenon_L7_ : (~((sdtpldt0 (sdtasdt0 (xC) (xG)) (xS)) = (sdtpldt0 (xR) (xS)))) -> ((xR) = (sdtasdt0 (xC) (xG))) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H5b zenon_H5c.
% 259.17/259.43 cut (((xS) = (xS))); [idtac | apply NNPP; zenon_intro zenon_H5a].
% 259.17/259.43 cut (((sdtasdt0 (xC) (xG)) = (xR))); [idtac | apply NNPP; zenon_intro zenon_H5d].
% 259.17/259.43 congruence.
% 259.17/259.43 apply zenon_H5d. apply sym_equal. exact zenon_H5c.
% 259.17/259.43 apply zenon_H5a. apply refl_equal.
% 259.17/259.43 (* end of lemma zenon_L7_ *)
% 259.17/259.43 assert (zenon_L8_ : (forall W1 : zenon_U, (((aScalar0 (sdtasdt0 (xC) (xG)))/\(aScalar0 W1))->(aScalar0 (sdtpldt0 (sdtasdt0 (xC) (xG)) W1)))) -> (aScalar0 (xG)) -> (aScalar0 (xC)) -> (aScalar0 (xS)) -> (~(aScalar0 (sdtpldt0 (xR) (xS)))) -> ((xR) = (sdtasdt0 (xC) (xG))) -> False).
% 259.17/259.43 do 0 intro. intros zenon_H5e zenon_H52 zenon_H53 zenon_H5f zenon_H60 zenon_H5c.
% 259.17/259.43 generalize (zenon_H5e (xS)). zenon_intro zenon_H61.
% 259.17/259.43 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ].
% 259.17/259.43 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H51 | zenon_intro zenon_H64 ].
% 259.17/259.43 apply (zenon_L5_); trivial.
% 259.17/259.43 exact (zenon_H64 zenon_H5f).
% 259.17/259.43 cut ((aScalar0 (sdtpldt0 (sdtasdt0 (xC) (xG)) (xS))) = (aScalar0 (sdtpldt0 (xR) (xS)))).
% 259.17/259.44 intro zenon_D_pnotp.
% 259.17/259.44 apply zenon_H60.
% 259.17/259.44 rewrite <- zenon_D_pnotp.
% 259.17/259.44 exact zenon_H62.
% 259.17/259.44 cut (((sdtpldt0 (sdtasdt0 (xC) (xG)) (xS)) = (sdtpldt0 (xR) (xS)))); [idtac | apply NNPP; zenon_intro zenon_H5b].
% 259.17/259.44 congruence.
% 259.17/259.44 apply (zenon_L7_); trivial.
% 259.17/259.44 (* end of lemma zenon_L8_ *)
% 259.17/259.44 apply NNPP. intro zenon_G.
% 259.17/259.44 apply (zenon_and_s _ _ m__1783). zenon_intro zenon_H53. zenon_intro zenon_H65.
% 259.17/259.44 apply (zenon_and_s _ _ m__1820). zenon_intro zenon_H3f. zenon_intro zenon_H66.
% 259.17/259.44 apply (zenon_and_s _ _ m__1854). zenon_intro zenon_H52. zenon_intro zenon_H67.
% 259.17/259.44 apply (zenon_and_s _ _ m__1873). zenon_intro zenon_H3e. zenon_intro zenon_H68.
% 259.17/259.44 apply (zenon_and_s _ _ m__1892). zenon_intro zenon_H69. zenon_intro zenon_H5c.
% 259.17/259.44 apply (zenon_and_s _ _ m__1911). zenon_intro zenon_H4b. zenon_intro zenon_H48.
% 259.17/259.44 apply (zenon_and_s _ _ m__1930). zenon_intro zenon_H5f. zenon_intro zenon_H6a.
% 259.17/259.44 generalize (mSumSc (sdtasdt0 (xE) (xH))). zenon_intro zenon_H4a.
% 259.17/259.44 generalize (mSumSc (sdtasdt0 (xC) (xG))). zenon_intro zenon_H5e.
% 259.17/259.44 generalize (mLETot (sdtpldt0 (xP) (xP))). zenon_intro zenon_H6b.
% 259.17/259.44 generalize (zenon_H6b (sdtpldt0 (xR) (xS))). zenon_intro zenon_H6c.
% 259.17/259.44 apply (zenon_imply_s _ _ zenon_H6c); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ].
% 259.17/259.44 apply (zenon_notand_s _ _ zenon_H6e); [ zenon_intro zenon_H4c | zenon_intro zenon_H60 ].
% 259.17/259.44 apply (zenon_L4_); trivial.
% 259.17/259.44 apply (zenon_L8_); trivial.
% 259.17/259.44 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ].
% 259.17/259.44 exact (m__2590 zenon_H70).
% 259.17/259.44 exact (zenon_G zenon_H6f).
% 259.17/259.44 Qed.
% 259.17/259.44 % SZS output end Proof
% 259.17/259.44 (* END-PROOF *)
% 259.17/259.44 nodes searched: 498945
% 259.17/259.44 max branch formulas: 20186
% 259.17/259.44 proof nodes created: 11508
% 259.17/259.44 formulas created: 3905867
% 259.17/259.44
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