TSTP Solution File: NUM315+1 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n013.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 15:54:50 EDT 2022
% Result : Theorem 0.46s 0.63s
% Output : Proof 0.46s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM315+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jul 6 10:16:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.46/0.63 (* PROOF-FOUND *)
% 0.46/0.63 % SZS status Theorem
% 0.46/0.63 (* BEGIN-PROOF *)
% 0.46/0.63 % SZS output start Proof
% 0.46/0.63 Theorem sum_nn2_nn5_nn7 : (sum (nn2) (nn5) (nn7)).
% 0.46/0.63 Proof.
% 0.46/0.63 assert (zenon_L1_ : (sum (nn2) (nn5) (nn7)) -> (~(difference (nn7) (nn2) (nn5))) -> False).
% 0.46/0.63 do 0 intro. intros zenon_H192 zenon_H193.
% 0.46/0.63 generalize (minus_entry_point (nn7)). zenon_intro zenon_H194.
% 0.46/0.63 generalize (zenon_H194 (nn2)). zenon_intro zenon_H195.
% 0.46/0.63 generalize (zenon_H195 (nn5)). zenon_intro zenon_H196.
% 0.46/0.63 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ].
% 0.46/0.63 exact (zenon_G zenon_H192).
% 0.46/0.63 exact (zenon_H193 zenon_H197).
% 0.46/0.63 (* end of lemma zenon_L1_ *)
% 0.46/0.63 apply NNPP. intro zenon_G.
% 0.46/0.63 generalize (minus_entry_point (nn7)). zenon_intro zenon_H194.
% 0.46/0.63 generalize (zenon_H194 (nn2)). zenon_intro zenon_H195.
% 0.46/0.63 generalize (zenon_H195 (nn5)). zenon_intro zenon_H196.
% 0.46/0.63 apply (zenon_equiv_s _ _ zenon_H196); [ zenon_intro zenon_G; zenon_intro zenon_H193 | zenon_intro zenon_H192; zenon_intro zenon_H197 ].
% 0.46/0.63 generalize (sum_entry_point_neg_neg (nn2)). zenon_intro zenon_H198.
% 0.46/0.63 generalize (zenon_H198 (nn5)). zenon_intro zenon_H199.
% 0.46/0.63 generalize (zenon_H199 (nn7)). zenon_intro zenon_H19a.
% 0.46/0.63 generalize (zenon_H19a (rdnn (n2))). zenon_intro zenon_H19b.
% 0.46/0.63 generalize (zenon_H19b (rdnn (n5))). zenon_intro zenon_H19c.
% 0.46/0.63 generalize (zenon_H19c (rdnn (n7))). zenon_intro zenon_H19d.
% 0.46/0.63 apply (zenon_imply_s _ _ zenon_H19d); [ zenon_intro zenon_H19e | zenon_intro zenon_H192 ].
% 0.46/0.63 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ].
% 0.46/0.63 exact (zenon_H1a0 rdnn2).
% 0.46/0.63 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a2 | zenon_intro zenon_H1a1 ].
% 0.46/0.63 exact (zenon_H1a2 rdnn5).
% 0.46/0.63 apply (zenon_notand_s _ _ zenon_H1a1); [ zenon_intro zenon_H1a4 | zenon_intro zenon_H1a3 ].
% 0.46/0.63 generalize (add_digit_digit_digit (n0)). zenon_intro zenon_H1a5.
% 0.46/0.63 generalize (zenon_H1a5 (n2)). zenon_intro zenon_H1a6.
% 0.46/0.63 generalize (zenon_H1a6 (n5)). zenon_intro zenon_H1a7.
% 0.46/0.63 generalize (zenon_H1a7 (n7)). zenon_intro zenon_H1a8.
% 0.46/0.63 generalize (zenon_H1a8 (n7)). zenon_intro zenon_H1a9.
% 0.46/0.63 apply (zenon_imply_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ].
% 0.46/0.63 apply (zenon_notand_s _ _ zenon_H1ab); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ].
% 0.46/0.63 exact (zenon_H1ad rdn_digit_add_n2_n5_n7_n0).
% 0.46/0.63 exact (zenon_H1ac rdn_digit_add_n7_n0_n7_n0).
% 0.46/0.63 exact (zenon_H1a4 zenon_H1aa).
% 0.46/0.63 exact (zenon_H1a3 rdnn7).
% 0.46/0.63 apply (zenon_L1_); trivial.
% 0.46/0.63 exact (zenon_G zenon_H192).
% 0.46/0.63 Qed.
% 0.46/0.63 % SZS output end Proof
% 0.46/0.63 (* END-PROOF *)
% 0.46/0.63 nodes searched: 3434
% 0.46/0.63 max branch formulas: 2529
% 0.46/0.63 proof nodes created: 64
% 0.46/0.63 formulas created: 39968
% 0.46/0.63
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