%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 0.46s 0.64s % Output : Proof 0.46s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV384+1 : TPTP v8.1.0. Released v3.3.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n011.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 16:59:34 EDT 2022 % 0.12/0.33 % CPUTime : % 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax47 % 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax48 % 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax49 % 0.46/0.64 Zenon warning: unused variable (X : zenon_U) in ax51 % 0.46/0.64 (* PROOF-FOUND *) % 0.46/0.64 % SZS status Theorem % 0.46/0.64 (* BEGIN-PROOF *) % 0.46/0.64 % SZS output start Proof % 0.46/0.64 Theorem l20_co : (forall X1 : zenon_U, (forall X2 : zenon_U, (forall X3 : zenon_U, (((~(check_cpq (triple X1 X2 X3)))\/(~(ok (triple X1 X2 X3))))->(forall X4 : zenon_U, (forall X5 : zenon_U, (forall X6 : zenon_U, ((succ_cpq (triple X1 X2 X3) (triple X4 X5 X6))->((~(ok (triple X4 X5 X6)))\/(~(check_cpq (triple X4 X5 X6)))))))))))). % 0.46/0.64 Proof. % 0.46/0.64 apply NNPP. intro zenon_G. % 0.46/0.64 apply (zenon_imply_s _ _ l20_induction); [ zenon_intro zenon_H2d | zenon_intro zenon_H2c ]. % 0.46/0.64 apply (zenon_notallex_s (fun U : zenon_U => (forall V : zenon_U, (forall W : zenon_U, (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple U V W) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z))))))))))))) zenon_H2d); [ zenon_intro zenon_H2e; idtac ]. % 0.46/0.64 elim zenon_H2e. zenon_intro zenon_TU_bv. zenon_intro zenon_H30. % 0.46/0.64 apply (zenon_notallex_s (fun V : zenon_U => (forall W : zenon_U, (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv V W) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z)))))))))))) zenon_H30); [ zenon_intro zenon_H31; idtac ]. % 0.46/0.64 elim zenon_H31. zenon_intro zenon_TV_by. zenon_intro zenon_H33. % 0.46/0.64 apply (zenon_notallex_s (fun W : zenon_U => (forall X : zenon_U, (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv zenon_TV_by W) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z))))))))))) zenon_H33); [ zenon_intro zenon_H34; idtac ]. % 0.46/0.64 elim zenon_H34. zenon_intro zenon_TW_cb. zenon_intro zenon_H36. % 0.46/0.64 apply (zenon_notallex_s (fun X : zenon_U => (forall Y : zenon_U, (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv zenon_TV_by zenon_TW_cb) (triple X Y Z))->(((~(check_cpq (triple X Y Z)))\/(~(ok (triple X Y Z))))->((~(check_cpq (im_succ_cpq (triple X Y Z))))\/(~(ok (im_succ_cpq (triple X Y Z)))))))))) zenon_H36); [ zenon_intro zenon_H37; idtac ]. % 0.46/0.64 elim zenon_H37. zenon_intro zenon_TX_ce. zenon_intro zenon_H39. % 0.46/0.64 apply (zenon_notallex_s (fun Y : zenon_U => (forall Z : zenon_U, ((succ_cpq (triple zenon_TU_bv zenon_TV_by zenon_TW_cb) (triple zenon_TX_ce Y Z))->(((~(check_cpq (triple zenon_TX_ce Y Z)))\/(~(ok (triple zenon_TX_ce Y Z))))->((~(check_cpq (im_succ_cpq (triple zenon_TX_ce Y Z))))\/(~(ok (im_succ_cpq (triple zenon_TX_ce Y Z))))))))) zenon_H39); [ zenon_intro zenon_H3a; idtac ]. % 0.46/0.64 elim zenon_H3a. zenon_intro zenon_TY_ch. zenon_intro zenon_H3c. % 0.46/0.64 apply (zenon_notallex_s (fun Z : zenon_U => ((succ_cpq (triple zenon_TU_bv zenon_TV_by zenon_TW_cb) (triple zenon_TX_ce zenon_TY_ch Z))->(((~(check_cpq (triple zenon_TX_ce zenon_TY_ch Z)))\/(~(ok (triple zenon_TX_ce zenon_TY_ch Z))))->((~(check_cpq (im_succ_cpq (triple zenon_TX_ce zenon_TY_ch Z))))\/(~(ok (im_succ_cpq (triple zenon_TX_ce zenon_TY_ch Z)))))))) zenon_H3c); [ zenon_intro zenon_H3d; idtac ]. % 0.46/0.64 elim zenon_H3d. zenon_intro zenon_TZ_ck. zenon_intro zenon_H3f. % 0.46/0.64 apply (zenon_notimply_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.46/0.64 apply (zenon_notimply_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.46/0.64 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.46/0.64 apply zenon_H44. zenon_intro zenon_H46. % 0.46/0.64 apply zenon_H45. zenon_intro zenon_H47. % 0.46/0.64 apply (zenon_or_s _ _ zenon_H43); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.46/0.64 generalize (l12_l13 zenon_TX_ce). zenon_intro zenon_H4a. % 0.46/0.64 generalize (zenon_H4a zenon_TY_ch). zenon_intro zenon_H4b. % 0.46/0.64 generalize (zenon_H4b zenon_TZ_ck). zenon_intro zenon_H4c. % 0.46/0.64 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.46/0.64 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H50. zenon_intro zenon_H4f. % 0.46/0.65 exact (zenon_H50 zenon_H49). % 0.46/0.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ]. % 0.46/0.65 exact (zenon_H52 zenon_H47). % 0.46/0.65 exact (zenon_H51 zenon_H46). % 0.46/0.65 generalize (l12_l13 zenon_TX_ce). zenon_intro zenon_H4a. % 0.46/0.65 generalize (zenon_H4a zenon_TY_ch). zenon_intro zenon_H4b. % 0.46/0.65 generalize (zenon_H4b zenon_TZ_ck). zenon_intro zenon_H4c. % 0.46/0.65 apply (zenon_imply_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.46/0.65 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H50. zenon_intro zenon_H4f. % 0.46/0.65 exact (zenon_H4f zenon_H48). % 0.46/0.65 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H52 | zenon_intro zenon_H51 ]. % 0.46/0.65 exact (zenon_H52 zenon_H47). % 0.46/0.65 exact (zenon_H51 zenon_H46). % 0.46/0.65 exact (zenon_G zenon_H2c). % 0.46/0.65 Qed. % 0.46/0.65 % SZS output end Proof % 0.46/0.65 (* END-PROOF *) % 0.46/0.65 nodes searched: 2340 % 0.46/0.65 max branch formulas: 886 % 0.46/0.65 proof nodes created: 145 % 0.46/0.65 formulas created: 15913 % 0.46/0.65 %------------------------------------------------------------------------------