%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN382+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n026.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 13:51:41 EDT 2022 % Result : Theorem 0.19s 0.49s % Output : Proof 0.19s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SYN382+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n026.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 17:38:12 EDT 2022 % 0.13/0.34 % CPUTime : % 0.19/0.49 (* PROOF-FOUND *) % 0.19/0.49 % SZS status Theorem % 0.19/0.49 (* BEGIN-PROOF *) % 0.19/0.49 % SZS output start Proof % 0.19/0.49 Theorem x2134 : ((forall Z : zenon_U, (exists X : zenon_U, ((forall Y : zenon_U, (big_p X Y))\/(big_q X Z))))->(forall Y : zenon_U, (exists X : zenon_U, ((big_p X Y)\/(big_q X Y))))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H2. zenon_intro zenon_H1. % 0.19/0.49 apply (zenon_notallex_s (fun Y : zenon_U => (exists X : zenon_U, ((big_p X Y)\/(big_q X Y)))) zenon_H1); [ zenon_intro zenon_H3; idtac ]. % 0.19/0.49 elim zenon_H3. zenon_intro zenon_TY_e. zenon_intro zenon_H5. % 0.19/0.49 generalize (zenon_H2 zenon_TY_e). zenon_intro zenon_H6. % 0.19/0.49 elim zenon_H6. zenon_intro zenon_TX_h. zenon_intro zenon_H8. % 0.19/0.49 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_Ha | zenon_intro zenon_H9 ]. % 0.19/0.49 generalize (zenon_Ha zenon_TY_e). zenon_intro zenon_Hb. % 0.19/0.49 apply zenon_H5. exists zenon_TX_h. apply NNPP. zenon_intro zenon_Hc. % 0.19/0.49 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.19/0.49 exact (zenon_He zenon_Hb). % 0.19/0.49 apply zenon_H5. exists zenon_TX_h. apply NNPP. zenon_intro zenon_Hc. % 0.19/0.49 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.19/0.49 exact (zenon_Hd zenon_H9). % 0.19/0.49 Qed. % 0.19/0.49 % SZS output end Proof % 0.19/0.49 (* END-PROOF *) % 0.19/0.49 nodes searched: 33 % 0.19/0.49 max branch formulas: 22 % 0.19/0.49 proof nodes created: 19 % 0.19/0.49 formulas created: 164 % 0.19/0.49 %------------------------------------------------------------------------------