%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n013.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 23:04:10 EDT 2022 % Result : Theorem 0.39s 0.60s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.12 % Problem : SWV385+1 : TPTP v8.1.0. Released v3.3.0. % 0.04/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n013.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 : Tue Jun 14 18:49:44 EDT 2022 % 0.12/0.33 % CPUTime : % 0.39/0.60 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.39/0.60 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.39/0.60 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.39/0.60 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.39/0.60 (* PROOF-FOUND *) % 0.39/0.60 % SZS status Theorem % 0.39/0.60 (* BEGIN-PROOF *) % 0.39/0.60 % SZS output start Proof % 0.39/0.60 Theorem l21_co : (forall U : zenon_U, (forall V : zenon_U, (forall W : zenon_U, (((~(check_cpq (triple U V W)))\/(~(ok (triple U V W))))->((~(check_cpq (im_succ_cpq (triple U V W))))\/(~(ok (im_succ_cpq (triple U V W))))))))). % 0.39/0.60 Proof. % 0.39/0.60 assert (zenon_L1_ : forall (zenon_TW_bu : zenon_U) (zenon_TV_bv : zenon_U) (zenon_TU_bw : zenon_U), (~(~(ok (triple zenon_TU_bw zenon_TV_bv zenon_TW_bu)))) -> (~(ok (triple zenon_TU_bw zenon_TV_bv zenon_TW_bu))) -> False). % 0.39/0.60 do 3 intro. intros zenon_H2c zenon_H2d. % 0.39/0.60 exact (zenon_H2c zenon_H2d). % 0.39/0.60 (* end of lemma zenon_L1_ *) % 0.39/0.60 apply NNPP. intro zenon_G. % 0.39/0.60 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (((~(check_cpq (triple U V W)))\/(~(ok (triple U V W))))->((~(check_cpq (im_succ_cpq (triple U V W))))\/(~(ok (im_succ_cpq (triple U V W))))))))) zenon_G); [ zenon_intro zenon_H31; idtac ]. % 0.39/0.60 elim zenon_H31. zenon_intro zenon_TU_bw. zenon_intro zenon_H32. % 0.39/0.60 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (((~(check_cpq (triple zenon_TU_bw V W)))\/(~(ok (triple zenon_TU_bw V W))))->((~(check_cpq (im_succ_cpq (triple zenon_TU_bw V W))))\/(~(ok (im_succ_cpq (triple zenon_TU_bw V W)))))))) zenon_H32); [ zenon_intro zenon_H33; idtac ]. % 0.39/0.60 elim zenon_H33. zenon_intro zenon_TV_bv. zenon_intro zenon_H34. % 0.39/0.60 apply (zenon_notallex_s (fun W : zenon_U => (((~(check_cpq (triple zenon_TU_bw zenon_TV_bv W)))\/(~(ok (triple zenon_TU_bw zenon_TV_bv W))))->((~(check_cpq (im_succ_cpq (triple zenon_TU_bw zenon_TV_bv W))))\/(~(ok (im_succ_cpq (triple zenon_TU_bw zenon_TV_bv W))))))) zenon_H34); [ zenon_intro zenon_H35; idtac ]. % 0.39/0.60 elim zenon_H35. zenon_intro zenon_TW_bu. zenon_intro zenon_H36. % 0.39/0.60 apply (zenon_notimply_s _ _ zenon_H36). zenon_intro zenon_H38. zenon_intro zenon_H37. % 0.39/0.60 apply (zenon_notor_s _ _ zenon_H37). zenon_intro zenon_H3a. zenon_intro zenon_H39. % 0.39/0.60 apply zenon_H39. zenon_intro zenon_H3b. % 0.39/0.60 apply zenon_H3a. zenon_intro zenon_H3c. % 0.39/0.60 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H3d | zenon_intro zenon_H2d ]. % 0.39/0.60 generalize (l21_li2225 zenon_TU_bw). zenon_intro zenon_H3e. % 0.39/0.60 generalize (zenon_H3e zenon_TV_bv). zenon_intro zenon_H3f. % 0.39/0.60 generalize (zenon_H3f zenon_TW_bu). zenon_intro zenon_H40. % 0.39/0.60 apply (zenon_imply_s _ _ zenon_H40); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.39/0.60 exact (zenon_H42 zenon_H3d). % 0.39/0.60 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H44 | zenon_intro zenon_H43 ]. % 0.39/0.60 exact (zenon_H44 zenon_H3c). % 0.39/0.60 exact (zenon_H43 zenon_H3b). % 0.39/0.60 generalize (l21_li1316 zenon_TU_bw). zenon_intro zenon_H45. % 0.39/0.60 generalize (zenon_H45 zenon_TV_bv). zenon_intro zenon_H46. % 0.39/0.60 generalize (zenon_H46 zenon_TW_bu). zenon_intro zenon_H47. % 0.39/0.60 apply (zenon_imply_s _ _ zenon_H47); [ zenon_intro zenon_H2c | zenon_intro zenon_H43 ]. % 0.39/0.60 exact (zenon_H2c zenon_H2d). % 0.39/0.60 exact (zenon_H43 zenon_H3b). % 0.39/0.60 Qed. % 0.39/0.60 % SZS output end Proof % 0.39/0.60 (* END-PROOF *) % 0.39/0.60 nodes searched: 1577 % 0.39/0.60 max branch formulas: 520 % 0.39/0.60 proof nodes created: 85 % 0.39/0.60 formulas created: 10071 % 0.39/0.60 %------------------------------------------------------------------------------