%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 13:51:40 EDT 2022 % Result : Theorem 0.21s 0.54s % Output : Proof 0.21s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.14 % Problem : SYN380+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.14 % Command : run_zenon %s %d % 0.15/0.36 % Computer : n021.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 600 % 0.15/0.36 % DateTime : Tue Jul 12 04:27:39 EDT 2022 % 0.15/0.36 % CPUTime : % 0.21/0.54 (* PROOF-FOUND *) % 0.21/0.54 % SZS status Theorem % 0.21/0.54 (* BEGIN-PROOF *) % 0.21/0.54 % SZS output start Proof % 0.21/0.54 Theorem x2132 : ((forall W : zenon_U, (~(big_r W W)))->(exists X : zenon_U, (exists Y : zenon_U, ((~(big_r X Y))/\((big_q Y X)->(forall Z : zenon_U, (big_q Z Z))))))). % 0.21/0.54 Proof. % 0.21/0.54 assert (zenon_L1_ : (~(forall Z : zenon_U, (big_q Z Z))) -> (~(exists X : zenon_U, (exists Y : zenon_U, ((~(big_r X Y))/\((big_q Y X)->(forall Z : zenon_U, (big_q Z Z))))))) -> (forall W : zenon_U, (~(big_r W W))) -> False). % 0.21/0.54 do 0 intro. intros zenon_H2 zenon_H3 zenon_H4. % 0.21/0.54 apply (zenon_notallex_s (fun Z : zenon_U => (big_q Z Z)) zenon_H2); [ zenon_intro zenon_H5; idtac ]. % 0.21/0.54 elim zenon_H5. zenon_intro zenon_TZ_g. zenon_intro zenon_H7. % 0.21/0.54 apply zenon_H3. exists zenon_TZ_g. apply NNPP. zenon_intro zenon_H8. % 0.21/0.54 apply zenon_H8. exists zenon_TZ_g. apply NNPP. zenon_intro zenon_H9. % 0.21/0.54 apply (zenon_notand_s _ _ zenon_H9); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.21/0.54 apply zenon_Hb. zenon_intro zenon_Hc. % 0.21/0.54 generalize (zenon_H4 zenon_TZ_g). zenon_intro zenon_Hd. % 0.21/0.54 exact (zenon_Hd zenon_Hc). % 0.21/0.54 apply (zenon_notimply_s _ _ zenon_Ha). zenon_intro zenon_He. zenon_intro zenon_H2. % 0.21/0.54 exact (zenon_H7 zenon_He). % 0.21/0.54 (* end of lemma zenon_L1_ *) % 0.21/0.54 apply NNPP. intro zenon_G. % 0.21/0.54 apply (zenon_notimply_s _ _ zenon_G). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.21/0.54 apply zenon_H3. exists zenon_E. apply NNPP. zenon_intro zenon_Hf. % 0.21/0.54 apply zenon_Hf. exists zenon_E. apply NNPP. zenon_intro zenon_H10. % 0.21/0.54 apply (zenon_notand_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.21/0.54 apply zenon_H12. zenon_intro zenon_H13. % 0.21/0.54 generalize (zenon_H4 zenon_E). zenon_intro zenon_H14. % 0.21/0.54 exact (zenon_H14 zenon_H13). % 0.21/0.54 apply (zenon_notimply_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H2. % 0.21/0.54 apply (zenon_L1_); trivial. % 0.21/0.54 Qed. % 0.21/0.54 % SZS output end Proof % 0.21/0.54 (* END-PROOF *) % 0.21/0.54 nodes searched: 43 % 0.21/0.54 max branch formulas: 22 % 0.21/0.54 proof nodes created: 22 % 0.21/0.54 formulas created: 240 % 0.21/0.54 %------------------------------------------------------------------------------