%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN978+1 : TPTP v8.1.0. Released v3.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 13:56:48 EDT 2022 % Result : Theorem 0.18s 0.48s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN978+1 : TPTP v8.1.0. Released v3.1.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.32 % Computer : n020.cluster.edu % 0.12/0.32 % Model : x86_64 x86_64 % 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.32 % Memory : 8042.1875MB % 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.32 % CPULimit : 300 % 0.12/0.32 % WCLimit : 600 % 0.12/0.32 % DateTime : Mon Jul 11 23:45:42 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.48 (* PROOF-FOUND *) % 0.18/0.48 % SZS status Theorem % 0.18/0.48 (* BEGIN-PROOF *) % 0.18/0.48 % SZS output start Proof % 0.18/0.48 Theorem prove_this : (((a)/\(b))->((a)<->(b))). % 0.18/0.48 Proof. % 0.18/0.48 apply NNPP. intro zenon_G. % 0.18/0.48 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.18/0.48 apply (zenon_and_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.18/0.48 apply (zenon_notequiv_s _ _ zenon_H1); [ zenon_intro zenon_H6; zenon_intro zenon_H3 | zenon_intro zenon_H4; zenon_intro zenon_H5 ]. % 0.18/0.48 exact (zenon_H6 zenon_H4). % 0.18/0.48 exact (zenon_H5 zenon_H3). % 0.18/0.48 Qed. % 0.18/0.48 % SZS output end Proof % 0.18/0.48 (* END-PROOF *) % 0.18/0.48 nodes searched: 4 % 0.18/0.48 max branch formulas: 5 % 0.18/0.48 proof nodes created: 4 % 0.18/0.48 formulas created: 58 % 0.18/0.48 %------------------------------------------------------------------------------