TSTP Solution File: RNG061+2 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : RNG061+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n019.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 20:48:23 EDT 2022
% Result : Theorem 89.29s 89.49s
% Output : Proof 89.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG061+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_zenon %s %d
% 0.14/0.35 % Computer : n019.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 : Mon May 30 16:38:40 EDT 2022
% 0.14/0.35 % CPUTime :
% 89.29/89.49 (* PROOF-FOUND *)
% 89.29/89.49 % SZS status Theorem
% 89.29/89.49 (* BEGIN-PROOF *)
% 89.29/89.49 % SZS output start Proof
% 89.29/89.49 Theorem m__ : ((sdtasdt0 (sdtpldt0 (xR) (smndt0 (xS))) (sdtpldt0 (xR) (smndt0 (xS)))) = (sdtpldt0 (sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))) (sdtpldt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN))))).
% 89.29/89.49 Proof.
% 89.29/89.49 assert (zenon_L1_ : (((sdtpldt0 (sdtpldt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))) (sz0z00)) = (sdtpldt0 (smndt0 (xN)) (sdtpldt0 (sdtasdt0 (xS) (xS)) (sz0z00))))/\(((sdtpldt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))) = (sdtpldt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN))))/\(((sdtasdt0 (sdtasdt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))) (sz0z00)) = (sdtasdt0 (smndt0 (xN)) (sdtasdt0 (sdtasdt0 (xS) (xS)) (sz0z00))))/\((sdtasdt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))) = (sdtasdt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN))))))) -> (~((sdtpldt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))) = (sdtpldt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN))))) -> False).
% 89.29/89.49 do 0 intro. intros zenon_H3c zenon_H3d.
% 89.29/89.49 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e.
% 89.29/89.49 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40.
% 89.29/89.50 exact (zenon_H3d zenon_H41).
% 89.29/89.50 (* end of lemma zenon_L1_ *)
% 89.29/89.50 apply NNPP. intro zenon_G.
% 89.29/89.50 apply (zenon_and_s _ _ m__1930). zenon_intro zenon_H43. zenon_intro zenon_H42.
% 89.29/89.50 apply (zenon_and_s _ _ m__1949). zenon_intro zenon_H45. zenon_intro zenon_H44.
% 89.29/89.50 cut (((sdtasdt0 (sdtpldt0 (xR) (smndt0 (xS))) (sdtpldt0 (xR) (smndt0 (xS)))) = (sdtpldt0 (sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))) (sdtpldt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))))) = ((sdtasdt0 (sdtpldt0 (xR) (smndt0 (xS))) (sdtpldt0 (xR) (smndt0 (xS)))) = (sdtpldt0 (sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))) (sdtpldt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN)))))).
% 89.29/89.50 intro zenon_D_pnotp.
% 89.29/89.50 apply zenon_G.
% 89.29/89.50 rewrite <- zenon_D_pnotp.
% 89.29/89.50 exact m__2180.
% 89.29/89.50 cut (((sdtpldt0 (sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))) (sdtpldt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS)))) = (sdtpldt0 (sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))) (sdtpldt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN)))))); [idtac | apply NNPP; zenon_intro zenon_H46].
% 89.29/89.50 cut (((sdtasdt0 (sdtpldt0 (xR) (smndt0 (xS))) (sdtpldt0 (xR) (smndt0 (xS)))) = (sdtasdt0 (sdtpldt0 (xR) (smndt0 (xS))) (sdtpldt0 (xR) (smndt0 (xS)))))); [idtac | apply NNPP; zenon_intro zenon_H47].
% 89.29/89.50 congruence.
% 89.29/89.50 apply zenon_H47. apply refl_equal.
% 89.29/89.50 cut (((sdtpldt0 (smndt0 (xN)) (sdtasdt0 (xS) (xS))) = (sdtpldt0 (sdtasdt0 (xS) (xS)) (smndt0 (xN))))); [idtac | apply NNPP; zenon_intro zenon_H3d].
% 89.29/89.50 cut (((sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))) = (sdtpldt0 (sdtasdt0 (xR) (xR)) (smndt0 (xN))))); [idtac | apply NNPP; zenon_intro zenon_H48].
% 89.29/89.50 congruence.
% 89.29/89.50 apply zenon_H48. apply refl_equal.
% 89.29/89.50 generalize (mArith (smndt0 (xN))). zenon_intro zenon_H49.
% 89.29/89.50 generalize (mNegSc (xN)). zenon_intro zenon_H4a.
% 89.29/89.50 apply (zenon_imply_s _ _ zenon_H4a); [ zenon_intro zenon_H4c | zenon_intro zenon_H4b ].
% 89.29/89.50 exact (zenon_H4c zenon_H45).
% 89.29/89.50 generalize (zenon_H49 (sdtasdt0 (xS) (xS))). zenon_intro zenon_H4d.
% 89.29/89.50 generalize (zenon_H4d (sz0z00)). zenon_intro zenon_H4e.
% 89.29/89.50 apply (zenon_imply_s _ _ zenon_H4e); [ zenon_intro zenon_H4f | zenon_intro zenon_H3c ].
% 89.29/89.50 apply (zenon_notand_s _ _ zenon_H4f); [ zenon_intro zenon_H51 | zenon_intro zenon_H50 ].
% 89.29/89.50 exact (zenon_H51 zenon_H4b).
% 89.29/89.50 apply (zenon_notand_s _ _ zenon_H50); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ].
% 89.29/89.50 generalize (mMulSc (xS)). zenon_intro zenon_H54.
% 89.29/89.50 generalize (zenon_H54 (xS)). zenon_intro zenon_H55.
% 89.29/89.50 apply (zenon_imply_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ].
% 89.29/89.50 apply (zenon_notand_s _ _ zenon_H57); [ zenon_intro zenon_H58 | zenon_intro zenon_H58 ].
% 89.29/89.50 exact (zenon_H58 zenon_H43).
% 89.29/89.50 exact (zenon_H58 zenon_H43).
% 89.29/89.50 exact (zenon_H53 zenon_H56).
% 89.29/89.50 exact (zenon_H52 mSZeroSc).
% 89.29/89.50 apply (zenon_L1_); trivial.
% 89.29/89.50 Qed.
% 89.29/89.50 % SZS output end Proof
% 89.29/89.50 (* END-PROOF *)
% 89.29/89.50 nodes searched: 139124
% 89.29/89.50 max branch formulas: 19977
% 89.29/89.50 proof nodes created: 2451
% 89.29/89.50 formulas created: 1551271
% 89.29/89.50
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