%------------------------------------------------------------------------------ % 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 : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----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 %------------------------------------------------------------------------------