%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n005.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 : Tue Jul 19 06:33:03 EDT 2022 % Result : Theorem 0.14s 0.43s % Output : Proof 0.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.09 % Problem : SET045+1 : TPTP v8.1.0. Released v2.0.0. % 0.04/0.10 % Command : run_zenon %s %d % 0.09/0.30 % Computer : n005.cluster.edu % 0.09/0.30 % Model : x86_64 x86_64 % 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.30 % Memory : 8042.1875MB % 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.30 % CPULimit : 300 % 0.09/0.30 % WCLimit : 600 % 0.09/0.30 % DateTime : Sun Jul 10 04:01:07 EDT 2022 % 0.09/0.30 % CPUTime : % 0.14/0.43 (* PROOF-FOUND *) % 0.14/0.43 % SZS status Theorem % 0.14/0.43 (* BEGIN-PROOF *) % 0.14/0.43 % SZS output start Proof % 0.14/0.43 Theorem pel41 : (~(exists Z : zenon_U, (forall X : zenon_U, (element X Z)))). % 0.14/0.43 Proof. % 0.14/0.43 assert (zenon_L1_ : forall (zenon_TZ_f : zenon_U) (zenon_TY_g : zenon_U), (~((element zenon_TY_g zenon_TZ_f)/\(~(element zenon_TY_g zenon_TY_g)))) -> (~(element zenon_TY_g zenon_TY_g)) -> (forall X : zenon_U, (element X zenon_TZ_f)) -> False). % 0.14/0.43 do 2 intro. intros zenon_H2 zenon_H3 zenon_H4. % 0.14/0.43 apply (zenon_notand_s _ _ zenon_H2); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.14/0.43 generalize (zenon_H4 zenon_TY_g). zenon_intro zenon_H9. % 0.14/0.43 exact (zenon_H8 zenon_H9). % 0.14/0.43 exact (zenon_H7 zenon_H3). % 0.14/0.43 (* end of lemma zenon_L1_ *) % 0.14/0.43 assert (zenon_L2_ : forall (zenon_TZ_f : zenon_U) (zenon_TY_g : zenon_U), ((element zenon_TY_g zenon_TZ_f)/\(~(element zenon_TY_g zenon_TY_g))) -> (element zenon_TY_g zenon_TY_g) -> False). % 0.14/0.43 do 2 intro. intros zenon_Ha zenon_Hb. % 0.14/0.43 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_H9. zenon_intro zenon_H3. % 0.14/0.43 exact (zenon_H3 zenon_Hb). % 0.14/0.43 (* end of lemma zenon_L2_ *) % 0.14/0.43 apply NNPP. intro zenon_G. % 0.14/0.43 apply zenon_G. zenon_intro zenon_Hc. % 0.14/0.43 elim zenon_Hc. zenon_intro zenon_TZ_f. zenon_intro zenon_H4. % 0.14/0.43 generalize (pel41_1 zenon_TZ_f). zenon_intro zenon_Hd. % 0.14/0.43 elim zenon_Hd. zenon_intro zenon_TY_g. zenon_intro zenon_He. % 0.14/0.43 generalize (zenon_He zenon_TY_g). zenon_intro zenon_Hf. % 0.14/0.43 apply (zenon_equiv_s _ _ zenon_Hf); [ zenon_intro zenon_H3; zenon_intro zenon_H2 | zenon_intro zenon_Hb; zenon_intro zenon_Ha ]. % 0.14/0.43 apply (zenon_L1_ zenon_TZ_f zenon_TY_g); trivial. % 0.14/0.43 apply (zenon_L2_ zenon_TZ_f zenon_TY_g); trivial. % 0.14/0.43 Qed. % 0.14/0.43 % SZS output end Proof % 0.14/0.43 (* END-PROOF *) % 0.14/0.43 nodes searched: 251 % 0.14/0.43 max branch formulas: 105 % 0.14/0.43 proof nodes created: 47 % 0.14/0.43 formulas created: 596 % 0.14/0.43 %------------------------------------------------------------------------------