%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN073+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n009.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 13:49:25 EDT 2022 % Result : Theorem 0.20s 0.52s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SYN073+1 : TPTP v8.1.0. Released v2.0.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.35 % Computer : n009.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 : Tue Jul 12 05:40:37 EDT 2022 % 0.14/0.35 % CPUTime : % 0.20/0.52 (* PROOF-FOUND *) % 0.20/0.52 % SZS status Theorem % 0.20/0.52 (* BEGIN-PROOF *) % 0.20/0.52 % SZS output start Proof % 0.20/0.52 Theorem pel50 : ((forall X : zenon_U, ((big_f (a) X)\/(forall Y : zenon_U, (big_f X Y))))->(exists X1 : zenon_U, (forall Y1 : zenon_U, (big_f X1 Y1)))). % 0.20/0.52 Proof. % 0.20/0.52 apply NNPP. intro zenon_G. % 0.20/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.20/0.52 apply zenon_H1. exists (a). apply NNPP. zenon_intro zenon_H3. % 0.20/0.52 apply (zenon_notallex_s (fun Y1 : zenon_U => (big_f (a) Y1)) zenon_H3); [ zenon_intro zenon_H4; idtac ]. % 0.20/0.52 elim zenon_H4. zenon_intro zenon_TY1_f. zenon_intro zenon_H6. % 0.20/0.52 generalize (zenon_H2 zenon_TY1_f). zenon_intro zenon_H7. % 0.20/0.52 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.20/0.52 exact (zenon_H6 zenon_H9). % 0.20/0.52 apply zenon_H1. exists zenon_TY1_f. apply NNPP. zenon_intro zenon_Ha. % 0.20/0.52 exact (zenon_Ha zenon_H8). % 0.20/0.52 Qed. % 0.20/0.52 % SZS output end Proof % 0.20/0.52 (* END-PROOF *) % 0.20/0.52 nodes searched: 48 % 0.20/0.52 max branch formulas: 25 % 0.20/0.52 proof nodes created: 16 % 0.20/0.52 formulas created: 232 % 0.20/0.52 %------------------------------------------------------------------------------