%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n003.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 0.39s 0.58s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN986+1.001 : TPTP v8.1.0. Released v4.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n003.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 : Mon Jul 11 23:21:00 EDT 2022 % 0.13/0.35 % CPUTime : % 0.39/0.58 (* PROOF-FOUND *) % 0.39/0.58 % SZS status Theorem % 0.39/0.58 (* BEGIN-PROOF *) % 0.39/0.58 % SZS output start Proof % 0.39/0.58 Theorem ck : (exists Z1 : zenon_U, (exists Z0 : zenon_U, ((r (zero) (zero) Z1)/\(r (zero) Z1 Z0)))). % 0.39/0.58 Proof. % 0.39/0.58 apply NNPP. intro zenon_G. % 0.39/0.58 generalize (hyp2 (zero)). zenon_intro zenon_H3. % 0.39/0.58 generalize (hyp1 (zero)). zenon_intro zenon_H4. % 0.39/0.58 generalize (zenon_H3 (zero)). zenon_intro zenon_H5. % 0.39/0.58 generalize (zenon_H5 (succ (zero))). zenon_intro zenon_H6. % 0.39/0.58 generalize (hyp1 (succ (zero))). zenon_intro zenon_H7. % 0.39/0.58 generalize (zenon_H6 (succ (succ (zero)))). zenon_intro zenon_H8. % 0.39/0.58 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.39/0.58 exact (zenon_Ha zenon_H4). % 0.39/0.58 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.39/0.58 exact (zenon_Hc zenon_H7). % 0.39/0.58 apply zenon_G. exists (succ (zero)). apply NNPP. zenon_intro zenon_Hd. % 0.39/0.58 apply zenon_Hd. exists (succ (succ (zero))). apply NNPP. zenon_intro zenon_He. % 0.39/0.58 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_Ha | zenon_intro zenon_Hf ]. % 0.39/0.58 exact (zenon_Ha zenon_H4). % 0.39/0.58 exact (zenon_Hf zenon_Hb). % 0.39/0.58 Qed. % 0.39/0.58 % SZS output end Proof % 0.39/0.58 (* END-PROOF *) % 0.39/0.58 nodes searched: 1801 % 0.39/0.58 max branch formulas: 248 % 0.39/0.58 proof nodes created: 78 % 0.39/0.58 formulas created: 2003 % 0.39/0.58 %------------------------------------------------------------------------------