%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN040+1 : TPTP v8.1.0. Released v2.0.0. % 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 13:48:56 EDT 2022 % Result : Theorem 0.19s 0.48s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SYN040+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n003.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 16:01:45 EDT 2022 % 0.12/0.33 % CPUTime : % 0.19/0.48 (* PROOF-FOUND *) % 0.19/0.48 % SZS status Theorem % 0.19/0.48 (* BEGIN-PROOF *) % 0.19/0.48 % SZS output start Proof % 0.19/0.48 Theorem pel1 : (((p)->(q))<->((~(q))->(~(p)))). % 0.19/0.48 Proof. % 0.19/0.48 assert (zenon_L1_ : (~(q)) -> (q) -> False). % 0.19/0.48 do 0 intro. intros zenon_H1 zenon_H2. % 0.19/0.48 exact (zenon_H1 zenon_H2). % 0.19/0.48 (* end of lemma zenon_L1_ *) % 0.19/0.48 assert (zenon_L2_ : (~(p)) -> (p) -> False). % 0.19/0.48 do 0 intro. intros zenon_H3 zenon_H4. % 0.19/0.48 exact (zenon_H3 zenon_H4). % 0.19/0.48 (* end of lemma zenon_L2_ *) % 0.19/0.48 apply NNPP. intro zenon_G. % 0.19/0.48 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H8; zenon_intro zenon_H7 | zenon_intro zenon_H6; zenon_intro zenon_H5 ]. % 0.19/0.48 apply (zenon_notimply_s _ _ zenon_H8). zenon_intro zenon_H4. zenon_intro zenon_H1. % 0.19/0.48 apply (zenon_imply_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H3 ]. % 0.19/0.48 exact (zenon_H9 zenon_H1). % 0.19/0.48 exact (zenon_H3 zenon_H4). % 0.19/0.48 apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H1. zenon_intro zenon_Ha. % 0.19/0.48 apply zenon_Ha. zenon_intro zenon_H4. % 0.19/0.48 apply (zenon_imply_s _ _ zenon_H6); [ zenon_intro zenon_H3 | zenon_intro zenon_H2 ]. % 0.19/0.48 exact (zenon_H3 zenon_H4). % 0.19/0.48 exact (zenon_H1 zenon_H2). % 0.19/0.48 Qed. % 0.19/0.48 % SZS output end Proof % 0.19/0.48 (* END-PROOF *) % 0.19/0.48 nodes searched: 9 % 0.19/0.48 max branch formulas: 7 % 0.19/0.48 proof nodes created: 9 % 0.19/0.48 formulas created: 62 % 0.19/0.48 %------------------------------------------------------------------------------