TSTP Solution File: SYN986+1.002 by Zenon---0.7.1
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%------------------------------------------------------------------------------
% File : Zenon---0.7.1
% Problem : SYN986+1.002 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_zenon %s %d
% Computer : n004.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 : Thu Jul 21 13:56:53 EDT 2022
% Result : Theorem 0.76s 0.96s
% Output : Proof 0.76s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SYN986+1.002 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run_zenon %s %d
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jul 12 04:58:07 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.76/0.96 (* PROOF-FOUND *)
% 0.76/0.96 % SZS status Theorem
% 0.76/0.96 (* BEGIN-PROOF *)
% 0.76/0.96 % SZS output start Proof
% 0.76/0.96 Theorem ck : (exists Z2 : zenon_U, (exists Z1 : zenon_U, (exists Z0 : zenon_U, ((r (zero) (zero) Z2)/\((r (zero) Z2 Z1)/\(r (zero) Z1 Z0)))))).
% 0.76/0.96 Proof.
% 0.76/0.96 assert (zenon_L1_ : (~(r (succ (zero)) (zero) (succ (succ (zero))))) -> False).
% 0.76/0.96 do 0 intro. intros zenon_H3.
% 0.76/0.96 generalize (hyp1 (succ (zero))). zenon_intro zenon_H4.
% 0.76/0.96 exact (zenon_H3 zenon_H4).
% 0.76/0.96 (* end of lemma zenon_L1_ *)
% 0.76/0.96 apply NNPP. intro zenon_G.
% 0.76/0.96 generalize (hyp2 (zero)). zenon_intro zenon_H5.
% 0.76/0.96 generalize (hyp1 (zero)). zenon_intro zenon_H6.
% 0.76/0.96 generalize (zenon_H5 (zero)). zenon_intro zenon_H7.
% 0.76/0.96 generalize (zenon_H7 (succ (zero))). zenon_intro zenon_H8.
% 0.76/0.96 apply zenon_G. exists (succ (zero)). apply NNPP. zenon_intro zenon_H9.
% 0.76/0.96 generalize (zenon_H5 (succ (zero))). zenon_intro zenon_Ha.
% 0.76/0.96 apply zenon_H9. exists (succ (succ (zero))). apply NNPP. zenon_intro zenon_Hb.
% 0.76/0.96 generalize (hyp1 (succ (succ (zero)))). zenon_intro zenon_Hc.
% 0.76/0.96 generalize (zenon_Ha (succ (succ (zero)))). zenon_intro zenon_Hd.
% 0.76/0.96 generalize (hyp2 (succ (succ (zero)))). zenon_intro zenon_He.
% 0.76/0.96 generalize (zenon_He (zero)). zenon_intro zenon_Hf.
% 0.76/0.96 generalize (zenon_Hf (succ (succ (succ (zero))))). zenon_intro zenon_H10.
% 0.76/0.96 generalize (zenon_H8 (succ (succ (zero)))). zenon_intro zenon_H11.
% 0.76/0.96 apply (zenon_imply_s _ _ zenon_H11); [ zenon_intro zenon_H13 | zenon_intro zenon_H12 ].
% 0.76/0.96 exact (zenon_H13 zenon_H6).
% 0.76/0.96 apply (zenon_imply_s _ _ zenon_H12); [ zenon_intro zenon_H3 | zenon_intro zenon_H14 ].
% 0.76/0.96 apply (zenon_L1_); trivial.
% 0.76/0.96 generalize (hyp1 (succ (succ (succ (zero))))). zenon_intro zenon_H15.
% 0.76/0.96 apply zenon_Hb. exists (succ (succ (succ (succ (zero))))). apply NNPP. zenon_intro zenon_H16.
% 0.76/0.96 apply (zenon_notand_s _ _ zenon_H16); [ zenon_intro zenon_H13 | zenon_intro zenon_H17 ].
% 0.76/0.96 exact (zenon_H13 zenon_H6).
% 0.76/0.96 apply (zenon_notand_s _ _ zenon_H17); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ].
% 0.76/0.96 exact (zenon_H19 zenon_H14).
% 0.76/0.96 generalize (zenon_Hd (succ (succ (succ (succ (zero)))))). zenon_intro zenon_H1a.
% 0.76/0.96 apply (zenon_imply_s _ _ zenon_H1a); [ zenon_intro zenon_H19 | zenon_intro zenon_H1b ].
% 0.76/0.96 exact (zenon_H19 zenon_H14).
% 0.76/0.96 apply (zenon_imply_s _ _ zenon_H1b); [ zenon_intro zenon_H1d | zenon_intro zenon_H1c ].
% 0.76/0.96 generalize (zenon_H10 (succ (succ (succ (succ (zero)))))). zenon_intro zenon_H1e.
% 0.76/0.96 apply (zenon_imply_s _ _ zenon_H1e); [ zenon_intro zenon_H20 | zenon_intro zenon_H1f ].
% 0.76/0.96 exact (zenon_H20 zenon_Hc).
% 0.76/0.96 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ].
% 0.76/0.96 exact (zenon_H22 zenon_H15).
% 0.76/0.96 exact (zenon_H1d zenon_H21).
% 0.76/0.96 exact (zenon_H18 zenon_H1c).
% 0.76/0.96 Qed.
% 0.76/0.96 % SZS output end Proof
% 0.76/0.96 (* END-PROOF *)
% 0.76/0.96 nodes searched: 30898
% 0.76/0.96 max branch formulas: 1517
% 0.76/0.96 proof nodes created: 469
% 0.76/0.96 formulas created: 38212
% 0.76/0.96
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