%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV395+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 : Wed Jul 20 23:04:12 EDT 2022 % Result : Theorem 0.20s 0.53s % Output : Proof 0.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV395+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n028.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 600 % 0.14/0.34 % DateTime : Tue Jun 14 17:51:09 EDT 2022 % 0.14/0.34 % CPUTime : % 0.20/0.53 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.20/0.53 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.20/0.53 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.20/0.53 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.20/0.53 (* PROOF-FOUND *) % 0.20/0.53 % SZS status Theorem % 0.20/0.53 (* BEGIN-PROOF *) % 0.20/0.53 % SZS output start Proof % 0.20/0.53 Theorem l31_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple U (create_slb) V) W))))->(pair_in_list (remove_slb (create_slb) W) W X)))))). % 0.20/0.53 Proof. % 0.20/0.53 apply NNPP. intro zenon_G. % 0.20/0.53 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple U (create_slb) V) W))))->(pair_in_list (remove_slb (create_slb) W) W X)))))) zenon_G); [ zenon_intro zenon_H2a; idtac ]. % 0.20/0.53 elim zenon_H2a. zenon_intro zenon_TU_br. zenon_intro zenon_H2c. % 0.20/0.53 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple zenon_TU_br (create_slb) V) W))))->(pair_in_list (remove_slb (create_slb) W) W X))))) zenon_H2c); [ zenon_intro zenon_H2d; idtac ]. % 0.20/0.53 elim zenon_H2d. zenon_intro zenon_TV_bu. zenon_intro zenon_H2f. % 0.20/0.53 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (((pair_in_list (create_slb) W X)/\((strictly_less_than W X)/\(ok (remove_cpq (triple zenon_TU_br (create_slb) zenon_TV_bu) W))))->(pair_in_list (remove_slb (create_slb) W) W X)))) zenon_H2f); [ zenon_intro zenon_H30; idtac ]. % 0.20/0.53 elim zenon_H30. zenon_intro zenon_TW_bx. zenon_intro zenon_H32. % 0.20/0.53 apply (zenon_notallex_s (fun X : zenon_U => (((pair_in_list (create_slb) zenon_TW_bx X)/\((strictly_less_than zenon_TW_bx X)/\(ok (remove_cpq (triple zenon_TU_br (create_slb) zenon_TV_bu) zenon_TW_bx))))->(pair_in_list (remove_slb (create_slb) zenon_TW_bx) zenon_TW_bx X))) zenon_H32); [ zenon_intro zenon_H33; idtac ]. % 0.20/0.53 elim zenon_H33. zenon_intro zenon_TX_ca. zenon_intro zenon_H35. % 0.20/0.53 apply (zenon_notimply_s _ _ zenon_H35). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.20/0.53 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.20/0.53 generalize (ax22 zenon_TW_bx). zenon_intro zenon_H3a. % 0.20/0.53 generalize (zenon_H3a zenon_TX_ca). zenon_intro zenon_H3b. % 0.20/0.53 exact (zenon_H3b zenon_H39). % 0.20/0.53 Qed. % 0.20/0.53 % SZS output end Proof % 0.20/0.53 (* END-PROOF *) % 0.20/0.53 nodes searched: 330 % 0.20/0.53 max branch formulas: 314 % 0.20/0.53 proof nodes created: 17 % 0.20/0.53 formulas created: 3321 % 0.20/0.53 %------------------------------------------------------------------------------