%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 13:51:52 EDT 2022 % Result : Theorem 0.20s 0.51s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SYN403+1 : TPTP v8.1.0. Released v2.0.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.13/0.35 % Computer : n013.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 : Tue Jul 12 04:32:59 EDT 2022 % 0.13/0.35 % CPUTime : % 0.20/0.51 (* PROOF-FOUND *) % 0.20/0.51 % SZS status Theorem % 0.20/0.51 (* BEGIN-PROOF *) % 0.20/0.51 % SZS output start Proof % 0.20/0.51 Theorem kalish234 : (forall X : zenon_U, ((((f X)->(g X))/\((g X)->(h X)))->((f X)->(h X)))). % 0.20/0.51 Proof. % 0.20/0.51 apply NNPP. intro zenon_G. % 0.20/0.51 apply (zenon_notallex_s (fun X : zenon_U => ((((f X)->(g X))/\((g X)->(h X)))->((f X)->(h X)))) zenon_G); [ zenon_intro zenon_H1; idtac ]. % 0.20/0.51 elim zenon_H1. zenon_intro zenon_TX_c. zenon_intro zenon_H3. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H3). zenon_intro zenon_H5. zenon_intro zenon_H4. % 0.20/0.51 apply (zenon_notimply_s _ _ zenon_H4). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.20/0.51 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.20/0.51 exact (zenon_Hb zenon_H7). % 0.20/0.51 apply (zenon_imply_s _ _ zenon_H8); [ zenon_intro zenon_Hd | zenon_intro zenon_Hc ]. % 0.20/0.51 exact (zenon_Hd zenon_Ha). % 0.20/0.51 exact (zenon_H6 zenon_Hc). % 0.20/0.51 Qed. % 0.20/0.51 % SZS output end Proof % 0.20/0.51 (* END-PROOF *) % 0.20/0.51 nodes searched: 8 % 0.20/0.51 max branch formulas: 9 % 0.20/0.51 proof nodes created: 7 % 0.20/0.51 formulas created: 81 % 0.20/0.51 %------------------------------------------------------------------------------