%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN081+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n007.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 13:49:30 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SYN081+1 : TPTP v8.1.0. Released v2.0.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.13/0.33 % Computer : n007.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Mon Jul 11 16:14:48 EDT 2022 % 0.13/0.34 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem pel59 : (exists X : zenon_U, ((big_f X)/\(~(big_f (f X))))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 generalize (pel59_1 zenon_E). zenon_intro zenon_H2. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_H2); [ zenon_intro zenon_H6; zenon_intro zenon_H5 | zenon_intro zenon_H4; zenon_intro zenon_H3 ]. % 0.18/0.49 apply zenon_H5. zenon_intro zenon_H7. % 0.18/0.49 apply zenon_G. exists (f zenon_E). apply NNPP. zenon_intro zenon_H8. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H8); [ zenon_intro zenon_H3 | zenon_intro zenon_H9 ]. % 0.18/0.49 exact (zenon_H3 zenon_H7). % 0.18/0.49 apply zenon_H9. zenon_intro zenon_Ha. % 0.18/0.49 generalize (pel59_1 (f zenon_E)). zenon_intro zenon_Hb. % 0.18/0.49 apply (zenon_equiv_s _ _ zenon_Hb); [ zenon_intro zenon_H3; zenon_intro zenon_H9 | zenon_intro zenon_H7; zenon_intro zenon_Hc ]. % 0.18/0.49 exact (zenon_H3 zenon_H7). % 0.18/0.49 exact (zenon_Hc zenon_Ha). % 0.18/0.49 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_Hd. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_Hd); [ zenon_intro zenon_H6 | zenon_intro zenon_H5 ]. % 0.18/0.49 exact (zenon_H6 zenon_H4). % 0.18/0.49 exact (zenon_H5 zenon_H3). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 47 % 0.18/0.49 max branch formulas: 19 % 0.18/0.49 proof nodes created: 26 % 0.18/0.49 formulas created: 202 % 0.18/0.49 %------------------------------------------------------------------------------