%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN919+1 : TPTP v8.1.0. Released v3.1.0. % 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 13:56:27 EDT 2022 % Result : Theorem 0.34s 0.52s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SYN919+1 : TPTP v8.1.0. Released v3.1.0. % 0.07/0.13 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n016.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Tue Jul 12 04:24:29 EDT 2022 % 0.12/0.34 % CPUTime : % 0.34/0.52 (* PROOF-FOUND *) % 0.34/0.52 % SZS status Theorem % 0.34/0.52 (* BEGIN-PROOF *) % 0.34/0.52 % SZS output start Proof % 0.34/0.52 Theorem prove_this : (((forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(r Y X))))/\(forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (((r X Y)/\(r Y Z))->(r X Z))))))->(forall X : zenon_U, (forall Y : zenon_U, ((r X Y)->(r X X))))). % 0.34/0.52 Proof. % 0.34/0.52 apply NNPP. intro zenon_G. % 0.34/0.52 elim (classic (forall x : zenon_U, (forall y : zenon_U, (forall z : zenon_U, ((r x y)->((r y z)->(r x z))))))); [ zenon_intro zenon_H1 | zenon_intro zenon_H2 ]. % 0.34/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.34/0.52 apply (zenon_and_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.34/0.52 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, ((r X Y)->(r X X)))) zenon_H3); [ zenon_intro zenon_H7; idtac ]. % 0.34/0.52 elim zenon_H7. zenon_intro zenon_TX_i. zenon_intro zenon_H9. % 0.34/0.52 apply (zenon_notallex_s (fun Y : zenon_U => ((r zenon_TX_i Y)->(r zenon_TX_i zenon_TX_i))) zenon_H9); [ zenon_intro zenon_Ha; idtac ]. % 0.34/0.52 elim zenon_Ha. zenon_intro zenon_TY_l. zenon_intro zenon_Hc. % 0.34/0.52 apply (zenon_notimply_s _ _ zenon_Hc). zenon_intro zenon_He. zenon_intro zenon_Hd. % 0.34/0.52 elim (classic (r zenon_TY_l zenon_TX_i)); [ zenon_intro zenon_Hf | zenon_intro zenon_H10 ]. % 0.34/0.52 generalize (zenon_H1 zenon_TX_i). zenon_intro zenon_H11. % 0.34/0.52 generalize (zenon_H11 zenon_TY_l). zenon_intro zenon_H12. % 0.34/0.52 generalize (zenon_H12 zenon_TX_i). zenon_intro zenon_H13. % 0.34/0.52 apply (zenon_imply_s _ _ zenon_H13); [ zenon_intro zenon_H15 | zenon_intro zenon_H14 ]. % 0.34/0.52 exact (zenon_H15 zenon_He). % 0.34/0.52 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_H10 | zenon_intro zenon_H16 ]. % 0.34/0.52 exact (zenon_H10 zenon_Hf). % 0.34/0.52 exact (zenon_Hd zenon_H16). % 0.34/0.52 generalize (zenon_H6 zenon_TX_i). zenon_intro zenon_H17. % 0.34/0.52 generalize (zenon_H17 zenon_TY_l). zenon_intro zenon_H18. % 0.34/0.52 apply (zenon_imply_s _ _ zenon_H18); [ zenon_intro zenon_H15 | zenon_intro zenon_Hf ]. % 0.34/0.52 exact (zenon_H15 zenon_He). % 0.34/0.52 exact (zenon_H10 zenon_Hf). % 0.34/0.52 apply zenon_H2. zenon_intro zenon_Tx_z. apply NNPP. zenon_intro zenon_H1a. % 0.34/0.52 apply zenon_H1a. zenon_intro zenon_Ty_bb. apply NNPP. zenon_intro zenon_H1c. % 0.34/0.52 apply zenon_H1c. zenon_intro zenon_Tz_bd. apply NNPP. zenon_intro zenon_H1e. % 0.34/0.52 apply (zenon_notimply_s _ _ zenon_H1e). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.34/0.52 apply (zenon_notimply_s _ _ zenon_H1f). zenon_intro zenon_H22. zenon_intro zenon_H21. % 0.34/0.52 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.34/0.52 apply (zenon_and_s _ _ zenon_H4). zenon_intro zenon_H6. zenon_intro zenon_H5. % 0.34/0.52 generalize (zenon_H5 zenon_Tx_z). zenon_intro zenon_H23. % 0.34/0.52 generalize (zenon_H23 zenon_Ty_bb). zenon_intro zenon_H24. % 0.34/0.52 generalize (zenon_H24 zenon_Tz_bd). zenon_intro zenon_H25. % 0.34/0.52 apply (zenon_imply_s _ _ zenon_H25); [ zenon_intro zenon_H27 | zenon_intro zenon_H26 ]. % 0.34/0.52 apply (zenon_notand_s _ _ zenon_H27); [ zenon_intro zenon_H29 | zenon_intro zenon_H28 ]. % 0.34/0.52 exact (zenon_H29 zenon_H20). % 0.34/0.52 exact (zenon_H28 zenon_H22). % 0.34/0.52 exact (zenon_H21 zenon_H26). % 0.34/0.52 Qed. % 0.34/0.52 % SZS output end Proof % 0.34/0.52 (* END-PROOF *) % 0.34/0.52 nodes searched: 20 % 0.34/0.52 max branch formulas: 23 % 0.34/0.52 proof nodes created: 7 % 0.34/0.52 formulas created: 317 % 0.34/0.52 %------------------------------------------------------------------------------