%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN411+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 13:51:56 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 % 0.12/0.12 % Problem : SYN411+1 : TPTP v8.1.0. Released v2.0.0. % 0.12/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n009.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 22:20:22 EDT 2022 % 0.18/0.33 % 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 kalish250 : ((forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, (f X Y Z))))<->(~(exists U : zenon_U, (exists V : zenon_U, (exists W : zenon_U, (~(f U V W))))))). % 0.19/0.49 Proof. % 0.19/0.49 apply NNPP. intro zenon_G. % 0.19/0.49 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ]. % 0.19/0.49 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, (f X Y Z)))) zenon_H4); [ zenon_intro zenon_H5; idtac ]. % 0.19/0.49 elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7. % 0.19/0.49 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, (f zenon_TX_g Y Z))) zenon_H7); [ zenon_intro zenon_H8; idtac ]. % 0.19/0.49 elim zenon_H8. zenon_intro zenon_TY_j. zenon_intro zenon_Ha. % 0.19/0.49 apply (zenon_notallex_s (fun Z : zenon_U => (f zenon_TX_g zenon_TY_j Z)) zenon_Ha); [ zenon_intro zenon_Hb; idtac ]. % 0.19/0.49 apply zenon_H3. exists zenon_TX_g. apply NNPP. zenon_intro zenon_Hc. % 0.19/0.49 apply zenon_Hc. exists zenon_TY_j. apply NNPP. zenon_intro zenon_Hd. % 0.19/0.49 exact (zenon_Hd zenon_Hb). % 0.19/0.49 apply zenon_H1. zenon_intro zenon_He. % 0.19/0.49 elim zenon_He. zenon_intro zenon_TU_p. zenon_intro zenon_H10. % 0.19/0.49 elim zenon_H10. zenon_intro zenon_TV_r. zenon_intro zenon_H12. % 0.19/0.49 elim zenon_H12. zenon_intro zenon_TW_t. zenon_intro zenon_H14. % 0.19/0.49 generalize (zenon_H2 zenon_TU_p). zenon_intro zenon_H15. % 0.19/0.49 generalize (zenon_H15 zenon_TV_r). zenon_intro zenon_H16. % 0.19/0.49 generalize (zenon_H16 zenon_TW_t). zenon_intro zenon_H17. % 0.19/0.49 exact (zenon_H14 zenon_H17). % 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: 52 % 0.19/0.49 max branch formulas: 26 % 0.19/0.49 proof nodes created: 21 % 0.19/0.49 formulas created: 264 % 0.19/0.49 %------------------------------------------------------------------------------