%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN922+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 13:56:28 EDT 2022 % Result : Theorem 0.39s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.14 % Problem : SYN922+1 : TPTP v8.1.0. Released v3.1.0. % 0.14/0.15 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n016.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Tue Jul 12 02:28:43 EDT 2022 % 0.14/0.36 % CPUTime : % 0.39/0.55 (* PROOF-FOUND *) % 0.39/0.55 % SZS status Theorem % 0.39/0.55 (* BEGIN-PROOF *) % 0.39/0.55 % SZS output start Proof % 0.39/0.55 Theorem prove_this : ((forall X : zenon_U, ((p X)/\(q X)))<->((forall X : zenon_U, (p X))/\(forall X : zenon_U, (q X)))). % 0.39/0.55 Proof. % 0.39/0.55 apply NNPP. intro zenon_G. % 0.39/0.55 apply (zenon_notequiv_s _ _ zenon_G); [ zenon_intro zenon_H4; zenon_intro zenon_H3 | zenon_intro zenon_H2; zenon_intro zenon_H1 ]. % 0.39/0.55 apply (zenon_notallex_s (fun X : zenon_U => ((p X)/\(q X))) zenon_H4); [ zenon_intro zenon_H5; idtac ]. % 0.39/0.55 elim zenon_H5. zenon_intro zenon_TX_g. zenon_intro zenon_H7. % 0.39/0.55 apply (zenon_and_s _ _ zenon_H3). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.39/0.55 apply (zenon_notand_s _ _ zenon_H7); [ zenon_intro zenon_Hb | zenon_intro zenon_Ha ]. % 0.39/0.55 generalize (zenon_H9 zenon_TX_g). zenon_intro zenon_Hc. % 0.39/0.55 exact (zenon_Hb zenon_Hc). % 0.39/0.55 generalize (zenon_H8 zenon_TX_g). zenon_intro zenon_Hd. % 0.39/0.55 exact (zenon_Ha zenon_Hd). % 0.39/0.55 apply (zenon_notand_s _ _ zenon_H1); [ zenon_intro zenon_Hf | zenon_intro zenon_He ]. % 0.39/0.55 apply (zenon_notallex_s (fun X : zenon_U => (p X)) zenon_Hf); [ zenon_intro zenon_H10; idtac ]. % 0.39/0.55 elim zenon_H10. zenon_intro zenon_TX_r. zenon_intro zenon_H12. % 0.39/0.55 generalize (zenon_H2 zenon_TX_r). zenon_intro zenon_H13. % 0.39/0.55 apply (zenon_and_s _ _ zenon_H13). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.39/0.55 exact (zenon_H12 zenon_H15). % 0.39/0.55 apply (zenon_notallex_s (fun X : zenon_U => (q X)) zenon_He); [ zenon_intro zenon_H16; idtac ]. % 0.39/0.55 elim zenon_H16. zenon_intro zenon_TX_x. zenon_intro zenon_H18. % 0.39/0.55 generalize (zenon_H2 zenon_TX_x). zenon_intro zenon_H19. % 0.39/0.55 apply (zenon_and_s _ _ zenon_H19). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.39/0.55 exact (zenon_H18 zenon_H1a). % 0.39/0.55 Qed. % 0.39/0.55 % SZS output end Proof % 0.39/0.55 (* END-PROOF *) % 0.39/0.55 nodes searched: 32 % 0.39/0.55 max branch formulas: 13 % 0.39/0.55 proof nodes created: 17 % 0.39/0.55 formulas created: 142 % 0.39/0.55 %------------------------------------------------------------------------------