%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n006.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 13:51:04 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 % 0.07/0.11 % Problem : SYN323+1 : TPTP v8.1.0. Released v2.0.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n006.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 19:23:35 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 church_46_4_2 : (exists Y : zenon_U, ((forall X : zenon_U, (((big_f X Y)->(big_f Y X))->(big_g X Y)))->(~(forall X : zenon_U, (((big_f X Y)->(big_f Y X))->(~(big_g X Y))))))). % 0.18/0.49 Proof. % 0.18/0.49 assert (zenon_L1_ : (~((big_f zenon_E zenon_E)->(big_f zenon_E zenon_E))) -> False). % 0.18/0.49 do 0 intro. intros zenon_H2. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H2). zenon_intro zenon_H4. zenon_intro zenon_H3. % 0.18/0.49 exact (zenon_H3 zenon_H4). % 0.18/0.49 (* end of lemma zenon_L1_ *) % 0.18/0.49 apply NNPP. intro zenon_G. % 0.18/0.49 apply zenon_G. exists zenon_E. apply NNPP. zenon_intro zenon_H5. % 0.18/0.49 apply (zenon_notimply_s _ _ zenon_H5). zenon_intro zenon_H7. zenon_intro zenon_H6. % 0.18/0.49 apply zenon_H6. zenon_intro zenon_H8. % 0.18/0.49 generalize (zenon_H7 zenon_E). zenon_intro zenon_H9. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_H9); [ zenon_intro zenon_H2 | zenon_intro zenon_Ha ]. % 0.18/0.49 apply (zenon_L1_); trivial. % 0.18/0.49 generalize (zenon_H8 zenon_E). zenon_intro zenon_Hb. % 0.18/0.49 apply (zenon_imply_s _ _ zenon_Hb); [ zenon_intro zenon_H2 | zenon_intro zenon_Hc ]. % 0.18/0.49 apply (zenon_L1_); trivial. % 0.18/0.49 exact (zenon_Hc zenon_Ha). % 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: 18 % 0.18/0.49 max branch formulas: 17 % 0.18/0.49 proof nodes created: 11 % 0.18/0.49 formulas created: 176 % 0.18/0.49 %------------------------------------------------------------------------------