%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN412+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n012.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 13:51:56 EDT 2022 % Result : Theorem 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : SYN412+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n012.cluster.edu % 0.14/0.35 % Model : x86_64 x86_64 % 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.35 % Memory : 8042.1875MB % 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.35 % CPULimit : 300 % 0.14/0.35 % WCLimit : 600 % 0.14/0.35 % DateTime : Mon Jul 11 13:11:43 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.53 (* PROOF-FOUND *) % 0.20/0.53 % SZS status Theorem % 0.20/0.53 (* BEGIN-PROOF *) % 0.20/0.53 % SZS output start Proof % 0.20/0.53 Theorem kalish255 : (~(exists X : zenon_U, (forall Y : zenon_U, ((f X Y)<->(~(f X X)))))). % 0.20/0.53 Proof. % 0.20/0.53 apply NNPP. intro zenon_G. % 0.20/0.53 apply zenon_G. zenon_intro zenon_H2. % 0.20/0.53 elim zenon_H2. zenon_intro zenon_TX_d. zenon_intro zenon_H0. % 0.20/0.53 generalize (zenon_H0 zenon_E). zenon_intro zenon_H4. % 0.20/0.53 apply (zenon_equiv_s _ _ zenon_H4); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ]. % 0.20/0.53 apply zenon_H7. zenon_intro zenon_H9. % 0.20/0.53 generalize (zenon_H0 zenon_TX_d). zenon_intro zenon_Ha. % 0.20/0.53 apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H5; zenon_intro zenon_H7 | zenon_intro zenon_H9; zenon_intro zenon_H5 ]. % 0.20/0.53 exact (zenon_H5 zenon_H9). % 0.20/0.53 exact (zenon_H5 zenon_H9). % 0.20/0.53 generalize (zenon_H0 zenon_TX_d). zenon_intro zenon_Ha. % 0.20/0.53 apply (zenon_equiv_s _ _ zenon_Ha); [ zenon_intro zenon_H5; zenon_intro zenon_H7 | zenon_intro zenon_H9; zenon_intro zenon_H5 ]. % 0.20/0.53 exact (zenon_H7 zenon_H5). % 0.20/0.53 exact (zenon_H5 zenon_H9). % 0.20/0.53 Qed. % 0.20/0.53 % SZS output end Proof % 0.20/0.53 (* END-PROOF *) % 0.20/0.53 nodes searched: 16 % 0.20/0.53 max branch formulas: 10 % 0.20/0.53 proof nodes created: 14 % 0.20/0.53 formulas created: 85 % 0.20/0.53 %------------------------------------------------------------------------------