TSTP Solution File: NUM305+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM305+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n014.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 15:54:47 EDT 2022
% Result : Theorem 0.47s 0.72s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : NUM305+1 : TPTP v8.1.0. Released v3.1.0.
% 0.10/0.11 % Command : run_zenon %s %d
% 0.11/0.32 % Computer : n014.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Thu Jul 7 02:27:07 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.47/0.72 (* PROOF-FOUND *)
% 0.47/0.72 % SZS status Theorem
% 0.47/0.72 (* BEGIN-PROOF *)
% 0.47/0.72 % SZS output start Proof
% 0.47/0.72 Theorem sum_n2_n3_n5 : (sum (n2) (n3) (n5)).
% 0.47/0.72 Proof.
% 0.47/0.72 assert (zenon_L1_ : (sum (n2) (n3) (n5)) -> (~(difference (n5) (n2) (n3))) -> False).
% 0.47/0.72 do 0 intro. intros zenon_H192 zenon_H193.
% 0.47/0.72 generalize (minus_entry_point (n5)). zenon_intro zenon_H194.
% 0.47/0.72 generalize (zenon_H194 (n2)). zenon_intro zenon_H195.
% 0.47/0.72 generalize (zenon_H195 (n3)). zenon_intro zenon_H196.
% 0.47/0.72 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ].
% 0.47/0.72 exact (zenon_G zenon_H192).
% 0.47/0.72 exact (zenon_H193 zenon_H197).
% 0.47/0.72 (* end of lemma zenon_L1_ *)
% 0.47/0.72 apply NNPP. intro zenon_G.
% 0.47/0.72 generalize (minus_entry_point (n5)). zenon_intro zenon_H194.
% 0.47/0.72 generalize (zenon_H194 (n2)). zenon_intro zenon_H195.
% 0.47/0.72 generalize (zenon_H195 (n3)). zenon_intro zenon_H196.
% 0.47/0.72 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ].
% 0.47/0.72 generalize (sum_entry_point_pos_pos (n2)). zenon_intro zenon_H198.
% 0.47/0.72 generalize (zenon_H198 (n3)). zenon_intro zenon_H199.
% 0.47/0.72 generalize (zenon_H199 (n5)). zenon_intro zenon_H19a.
% 0.47/0.72 generalize (zenon_H19a (rdnn (n2))). zenon_intro zenon_H19b.
% 0.47/0.72 generalize (zenon_H19b (rdnn (n3))). zenon_intro zenon_H19c.
% 0.47/0.72 generalize (zenon_H19c (rdnn (n5))). zenon_intro zenon_H19d.
% 0.47/0.72 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_H19e | zenon_intro zenon_H192 ].
% 0.47/0.72 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ].
% 0.47/0.72 exact (zenon_H1a0 rdn2).
% 0.47/0.72 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ].
% 0.47/0.72 exact (zenon_H1a2 rdn3).
% 0.47/0.72 apply (zenon_notand_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ].
% 0.47/0.72 generalize (add_digit_digit_digit (n0)). zenon_intro zenon_H1a5.
% 0.47/0.72 generalize (zenon_H1a5 (n2)). zenon_intro zenon_H1a6.
% 0.47/0.72 generalize (zenon_H1a6 (n3)). zenon_intro zenon_H1a7.
% 0.47/0.72 generalize (zenon_H1a7 (n5)). zenon_intro zenon_H1a8.
% 0.47/0.72 generalize (zenon_H1a8 (n5)). zenon_intro zenon_H1a9.
% 0.47/0.72 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ].
% 0.47/0.72 apply (zenon_notand_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ].
% 0.47/0.72 exact (zenon_H1ad rdn_digit_add_n2_n3_n5_n0).
% 0.47/0.72 exact (zenon_H1ac rdn_digit_add_n5_n0_n5_n0).
% 0.47/0.72 exact (zenon_H1a4 zenon_H1aa).
% 0.47/0.72 exact (zenon_H1a3 rdn5).
% 0.47/0.72 apply (zenon_L1_); trivial.
% 0.47/0.72 exact (zenon_G zenon_H192).
% 0.47/0.72 Qed.
% 0.47/0.72 % SZS output end Proof
% 0.47/0.72 (* END-PROOF *)
% 0.47/0.72 nodes searched: 4072
% 0.47/0.72 max branch formulas: 2826
% 0.47/0.72 proof nodes created: 132
% 0.47/0.72 formulas created: 62596
% 0.47/0.72
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