%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN733+1 : TPTP v8.1.0. Released v2.5.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n016.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 13:55:23 EDT 2022 % Result : Theorem 0.18s 0.49s % Output : Proof 0.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : SYN733+1 : TPTP v8.1.0. Released v2.5.0. % 0.06/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n016.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 19:32:28 EDT 2022 % 0.12/0.33 % CPUTime : % 0.18/0.49 (* PROOF-FOUND *) % 0.18/0.49 % SZS status Theorem % 0.18/0.49 (* BEGIN-PROOF *) % 0.18/0.49 % SZS output start Proof % 0.18/0.49 Theorem y2141 : ((forall X : zenon_U, (exists Y : zenon_U, ((p X)/\((q Y)\/(q X)))))->(exists Z : zenon_U, ((p Z)/\(q Z)))). % 0.18/0.49 Proof. % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H0. zenon_intro zenon_H2. % 0.18/0.49 generalize (zenon_H0 zenon_E). zenon_intro zenon_H3. % 0.18/0.49 elim zenon_H3. zenon_intro zenon_TY_e. zenon_intro zenon_H5. % 0.18/0.49 apply (zenon_and_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.18/0.49 apply (zenon_or_s _ _ zenon_H6); [ zenon_intro zenon_H9 | zenon_intro zenon_H8 ]. % 0.18/0.49 apply zenon_H2. exists zenon_TY_e. apply NNPP. zenon_intro zenon_Ha. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_Ha); [ zenon_intro zenon_Hc | zenon_intro zenon_Hb ]. % 0.18/0.49 generalize (zenon_H0 zenon_TY_e). zenon_intro zenon_Hd. % 0.18/0.49 elim zenon_Hd. zenon_intro zenon_TY_o. zenon_intro zenon_Hf. % 0.18/0.49 apply (zenon_and_s _ _ zenon_Hf). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.18/0.49 exact (zenon_Hc zenon_H11). % 0.18/0.49 exact (zenon_Hb zenon_H9). % 0.18/0.49 apply zenon_H2. exists zenon_E. apply NNPP. zenon_intro zenon_H12. % 0.18/0.49 apply (zenon_notand_s _ _ zenon_H12); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.18/0.49 exact (zenon_H14 zenon_H7). % 0.18/0.49 exact (zenon_H13 zenon_H8). % 0.18/0.49 Qed. % 0.18/0.49 % SZS output end Proof % 0.18/0.49 (* END-PROOF *) % 0.18/0.49 nodes searched: 23 % 0.18/0.49 max branch formulas: 18 % 0.18/0.49 proof nodes created: 16 % 0.18/0.49 formulas created: 163 % 0.18/0.49 %------------------------------------------------------------------------------