TSTP Solution File: NUM436+3 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n023.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 15:55:39 EDT 2022
% Result : Theorem 2.22s 2.40s
% Output : Proof 2.22s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM436+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_zenon %s %d
% 0.12/0.31 % Computer : n023.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.31 % CPULimit : 300
% 0.16/0.31 % WCLimit : 600
% 0.16/0.31 % DateTime : Tue Jul 5 09:26:57 EDT 2022
% 0.16/0.31 % CPUTime :
% 2.22/2.40 (* PROOF-FOUND *)
% 2.22/2.40 % SZS status Theorem
% 2.22/2.40 (* BEGIN-PROOF *)
% 2.22/2.40 % SZS output start Proof
% 2.22/2.40 Theorem m__ : (((exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xp) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))\/((aDivisorOf0 (xp) (sdtpldt0 (xa) (smndt0 (xb))))\/(sdteqdtlpzmzozddtrp0 (xa) (xb) (xp))))/\((exists W0 : zenon_U, ((aInteger0 W0)/\((sdtasdt0 (xq) W0) = (sdtpldt0 (xa) (smndt0 (xb))))))\/((aDivisorOf0 (xq) (sdtpldt0 (xa) (smndt0 (xb))))\/(sdteqdtlpzmzozddtrp0 (xa) (xb) (xq))))).
% 2.22/2.40 Proof.
% 2.22/2.40 apply NNPP. intro zenon_G.
% 2.22/2.40 apply (zenon_and_s _ _ m__979). zenon_intro zenon_H1c. zenon_intro zenon_H1b.
% 2.22/2.40 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d.
% 2.22/2.40 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f.
% 2.22/2.40 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21.
% 2.22/2.40 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H24. zenon_intro zenon_H23.
% 2.22/2.40 apply (zenon_and_s _ _ m__1032). zenon_intro zenon_H26. zenon_intro zenon_H25.
% 2.22/2.40 apply (zenon_and_s _ _ m__1071). zenon_intro zenon_H28. zenon_intro zenon_H27.
% 2.22/2.40 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ].
% 2.22/2.40 apply (zenon_notor_s _ _ zenon_H2a). zenon_intro zenon_H2c. zenon_intro zenon_H2b.
% 2.22/2.40 apply zenon_H2c. exists (sdtasdt0 (xq) (xm)). apply NNPP. zenon_intro zenon_H2d.
% 2.22/2.40 apply (zenon_notand_s _ _ zenon_H2d); [ zenon_intro zenon_H2f | zenon_intro zenon_H2e ].
% 2.22/2.40 generalize (mIntMult (xq)). zenon_intro zenon_H30.
% 2.22/2.40 generalize (zenon_H30 (xm)). zenon_intro zenon_H31.
% 2.22/2.40 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H33 | zenon_intro zenon_H32 ].
% 2.22/2.40 apply (zenon_notand_s _ _ zenon_H33); [ zenon_intro zenon_H35 | zenon_intro zenon_H34 ].
% 2.22/2.40 exact (zenon_H35 zenon_H24).
% 2.22/2.40 exact (zenon_H34 zenon_H26).
% 2.22/2.40 exact (zenon_H2f zenon_H32).
% 2.22/2.40 exact (zenon_H2e zenon_H28).
% 2.22/2.40 apply (zenon_notor_s _ _ zenon_H29). zenon_intro zenon_H37. zenon_intro zenon_H36.
% 2.22/2.40 apply zenon_H37. exists (sdtasdt0 (xp) (xm)). apply NNPP. zenon_intro zenon_H38.
% 2.22/2.40 apply (zenon_notand_s _ _ zenon_H38); [ zenon_intro zenon_H3a | zenon_intro zenon_H39 ].
% 2.22/2.40 generalize (mIntMult (xp)). zenon_intro zenon_H3b.
% 2.22/2.40 generalize (zenon_H3b (xm)). zenon_intro zenon_H3c.
% 2.22/2.40 apply (zenon_imply_s _ _ zenon_H3c); [ zenon_intro zenon_H3e | zenon_intro zenon_H3d ].
% 2.22/2.40 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H3f | zenon_intro zenon_H34 ].
% 2.22/2.40 exact (zenon_H3f zenon_H20).
% 2.22/2.40 exact (zenon_H34 zenon_H26).
% 2.22/2.40 exact (zenon_H3a zenon_H3d).
% 2.22/2.40 apply zenon_H39. apply sym_equal. exact zenon_H27.
% 2.22/2.40 Qed.
% 2.22/2.40 % SZS output end Proof
% 2.22/2.40 (* END-PROOF *)
% 2.22/2.40 nodes searched: 20082
% 2.22/2.40 max branch formulas: 3775
% 2.22/2.40 proof nodes created: 956
% 2.22/2.40 formulas created: 136854
% 2.22/2.40
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