TSTP Solution File: NUM423+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n008.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 15:55:31 EDT 2022
% Result : Theorem 1.83s 2.00s
% Output : Proof 1.83s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM423+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_zenon %s %d
% 0.12/0.33 % Computer : n008.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 : Tue Jul 5 18:39:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.83/2.00 (* PROOF-FOUND *)
% 1.83/2.00 % SZS status Theorem
% 1.83/2.00 (* BEGIN-PROOF *)
% 1.83/2.00 % SZS output start Proof
% 1.83/2.00 Theorem m__ : ((exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xa))))))\/((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xa))))\/(sdteqdtlpzmzozddtrp0 (xa) (xa) (xq)))).
% 1.83/2.00 Proof.
% 1.83/2.00 apply NNPP. intro zenon_G.
% 1.83/2.00 apply (zenon_and_s _ _ m__671). zenon_intro zenon_H16. zenon_intro zenon_H15.
% 1.83/2.00 apply (zenon_and_s _ _ zenon_H15). zenon_intro zenon_H18. zenon_intro zenon_H17.
% 1.83/2.00 apply (zenon_notor_s _ _ zenon_G). zenon_intro zenon_H1a. zenon_intro zenon_H19.
% 1.83/2.00 apply zenon_H1a. exists (sz00). apply NNPP. zenon_intro zenon_H1b.
% 1.83/2.00 apply (zenon_notand_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 1.83/2.00 exact (zenon_H1d mIntZero).
% 1.83/2.00 generalize (mAddComm (smndt0 (xa))). zenon_intro zenon_H1e.
% 1.83/2.00 generalize (mAddNeg (xa)). zenon_intro zenon_H1f.
% 1.83/2.00 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H21 | zenon_intro zenon_H20 ].
% 1.83/2.00 exact (zenon_H21 zenon_H16).
% 1.83/2.00 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22.
% 1.83/2.00 generalize (mMulZero (xq)). zenon_intro zenon_H24.
% 1.83/2.00 apply (zenon_imply_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ].
% 1.83/2.00 exact (zenon_H26 zenon_H18).
% 1.83/2.00 apply (zenon_and_s _ _ zenon_H25). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 1.83/2.00 generalize (zenon_H1e (xa)). zenon_intro zenon_H29.
% 1.83/2.00 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H2b | zenon_intro zenon_H2a ].
% 1.83/2.00 apply (zenon_notand_s _ _ zenon_H2b); [ zenon_intro zenon_H2c | zenon_intro zenon_H21 ].
% 1.83/2.00 generalize (mIntNeg (xa)). zenon_intro zenon_H2d.
% 1.83/2.00 apply (zenon_imply_s _ _ zenon_H2d); [ zenon_intro zenon_H21 | zenon_intro zenon_H2e ].
% 1.83/2.00 exact (zenon_H21 zenon_H16).
% 1.83/2.00 exact (zenon_H2c zenon_H2e).
% 1.83/2.00 exact (zenon_H21 zenon_H16).
% 1.83/2.00 cut (((sz00) = (sdtpldt0 (smndt0 (xa)) (xa))) = ((sdtasdt0 (xq) (sz00)) = (sdtpldt0 (xa) (smndt0 (xa))))).
% 1.83/2.00 intro zenon_D_pnotp.
% 1.83/2.00 apply zenon_H1c.
% 1.83/2.00 rewrite <- zenon_D_pnotp.
% 1.83/2.00 exact zenon_H22.
% 1.83/2.00 cut (((sdtpldt0 (smndt0 (xa)) (xa)) = (sdtpldt0 (xa) (smndt0 (xa))))); [idtac | apply NNPP; zenon_intro zenon_H2f].
% 1.83/2.00 cut (((sz00) = (sdtasdt0 (xq) (sz00)))); [idtac | apply NNPP; zenon_intro zenon_H30].
% 1.83/2.00 congruence.
% 1.83/2.00 elim (classic ((sdtasdt0 (xq) (sz00)) = (sdtasdt0 (xq) (sz00)))); [ zenon_intro zenon_H31 | zenon_intro zenon_H32 ].
% 1.83/2.00 cut (((sdtasdt0 (xq) (sz00)) = (sdtasdt0 (xq) (sz00))) = ((sz00) = (sdtasdt0 (xq) (sz00)))).
% 1.83/2.00 intro zenon_D_pnotp.
% 1.83/2.00 apply zenon_H30.
% 1.83/2.00 rewrite <- zenon_D_pnotp.
% 1.83/2.00 exact zenon_H31.
% 1.83/2.00 cut (((sdtasdt0 (xq) (sz00)) = (sdtasdt0 (xq) (sz00)))); [idtac | apply NNPP; zenon_intro zenon_H32].
% 1.83/2.00 cut (((sdtasdt0 (xq) (sz00)) = (sz00))); [idtac | apply NNPP; zenon_intro zenon_H33].
% 1.83/2.00 congruence.
% 1.83/2.00 exact (zenon_H33 zenon_H28).
% 1.83/2.00 apply zenon_H32. apply refl_equal.
% 1.83/2.00 apply zenon_H32. apply refl_equal.
% 1.83/2.00 exact (zenon_H2f zenon_H2a).
% 1.83/2.00 Qed.
% 1.83/2.00 % SZS output end Proof
% 1.83/2.00 (* END-PROOF *)
% 1.83/2.00 nodes searched: 8232
% 1.83/2.00 max branch formulas: 2373
% 1.83/2.00 proof nodes created: 458
% 1.83/2.00 formulas created: 95541
% 1.83/2.00
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