%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n024.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 14 18:29:13 EDT 2022 % Result : Theorem 0.60s 0.82s % Output : Proof 0.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.11 % Problem : ALG094+1 : TPTP v8.1.0. Released v2.7.0. % 0.07/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n024.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 : Wed Jun 8 07:09:19 EDT 2022 % 0.12/0.33 % CPUTime : % 0.60/0.82 (* PROOF-FOUND *) % 0.60/0.82 % SZS status Theorem % 0.60/0.82 (* BEGIN-PROOF *) % 0.60/0.82 % SZS output start Proof % 0.60/0.82 Theorem co1 : (((((op (e0) (e0)) = (e0))/\(((op (e0) (e0)) = (e0))/\(~((op (e0) (e0)) = (e0)))))\/((((op (e0) (e0)) = (e1))/\(((op (e1) (e1)) = (e0))/\(~((op (e0) (e1)) = (e0)))))\/((((op (e0) (e0)) = (e2))/\(((op (e2) (e2)) = (e0))/\(~((op (e0) (e2)) = (e0)))))\/((((op (e0) (e0)) = (e3))/\(((op (e3) (e3)) = (e0))/\(~((op (e0) (e3)) = (e0)))))\/((((op (e0) (e0)) = (e4))/\(((op (e4) (e4)) = (e0))/\(~((op (e0) (e4)) = (e0)))))\/((((op (e1) (e1)) = (e0))/\(((op (e0) (e0)) = (e1))/\(~((op (e1) (e0)) = (e1)))))\/((((op (e1) (e1)) = (e1))/\(((op (e1) (e1)) = (e1))/\(~((op (e1) (e1)) = (e1)))))\/((((op (e1) (e1)) = (e2))/\(((op (e2) (e2)) = (e1))/\(~((op (e1) (e2)) = (e1)))))\/((((op (e1) (e1)) = (e3))/\(((op (e3) (e3)) = (e1))/\(~((op (e1) (e3)) = (e1)))))\/((((op (e1) (e1)) = (e4))/\(((op (e4) (e4)) = (e1))/\(~((op (e1) (e4)) = (e1)))))\/((((op (e2) (e2)) = (e0))/\(((op (e0) (e0)) = (e2))/\(~((op (e2) (e0)) = (e2)))))\/((((op (e2) (e2)) = (e1))/\(((op (e1) (e1)) = (e2))/\(~((op (e2) (e1)) = (e2)))))\/((((op (e2) (e2)) = (e2))/\(((op (e2) (e2)) = (e2))/\(~((op (e2) (e2)) = (e2)))))\/((((op (e2) (e2)) = (e3))/\(((op (e3) (e3)) = (e2))/\(~((op (e2) (e3)) = (e2)))))\/((((op (e2) (e2)) = (e4))/\(((op (e4) (e4)) = (e2))/\(~((op (e2) (e4)) = (e2)))))\/((((op (e3) (e3)) = (e0))/\(((op (e0) (e0)) = (e3))/\(~((op (e3) (e0)) = (e3)))))\/((((op (e3) (e3)) = (e1))/\(((op (e1) (e1)) = (e3))/\(~((op (e3) (e1)) = (e3)))))\/((((op (e3) (e3)) = (e2))/\(((op (e2) (e2)) = (e3))/\(~((op (e3) (e2)) = (e3)))))\/((((op (e3) (e3)) = (e3))/\(((op (e3) (e3)) = (e3))/\(~((op (e3) (e3)) = (e3)))))\/((((op (e3) (e3)) = (e4))/\(((op (e4) (e4)) = (e3))/\(~((op (e3) (e4)) = (e3)))))\/((((op (e4) (e4)) = (e0))/\(((op (e0) (e0)) = (e4))/\(~((op (e4) (e0)) = (e4)))))\/((((op (e4) (e4)) = (e1))/\(((op (e1) (e1)) = (e4))/\(~((op (e4) (e1)) = (e4)))))\/((((op (e4) (e4)) = (e2))/\(((op (e2) (e2)) = (e4))/\(~((op (e4) (e2)) = (e4)))))\/((((op (e4) (e4)) = (e3))/\(((op (e3) (e3)) = (e4))/\(~((op (e4) (e3)) = (e4)))))\/(((op (e4) (e4)) = (e4))/\(((op (e4) (e4)) = (e4))/\(~((op (e4) (e4)) = (e4)))))))))))))))))))))))))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/(((op (e0) (e0)) = (e3))\/((op (e0) (e0)) = (e4))))))/\((((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e1)) = (e3))\/((op (e0) (e1)) = (e4))))))/\((((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e2)) = (e4))))))/\((((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e3)) = (e4))))))/\((((op (e0) (e4)) = (e0))\/(((op (e0) (e4)) = (e1))\/(((op (e0) (e4)) = (e2))\/(((op (e0) (e4)) = (e3))\/((op (e0) (e4)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/(((op (e1) (e0)) = (e3))\/((op (e1) (e0)) = (e4))))))/\((((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e1)) = (e3))\/((op (e1) (e1)) = (e4))))))/\((((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e2)) = (e4))))))/\((((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e3)) = (e4))))))/\((((op (e1) (e4)) = (e0))\/(((op (e1) (e4)) = (e1))\/(((op (e1) (e4)) = (e2))\/(((op (e1) (e4)) = (e3))\/((op (e1) (e4)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/(((op (e2) (e0)) = (e3))\/((op (e2) (e0)) = (e4))))))/\((((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e1)) = (e3))\/((op (e2) (e1)) = (e4))))))/\((((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4))))))/\((((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e3)) = (e4))))))/\((((op (e2) (e4)) = (e0))\/(((op (e2) (e4)) = (e1))\/(((op (e2) (e4)) = (e2))\/(((op (e2) (e4)) = (e3))\/((op (e2) (e4)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/(((op (e3) (e0)) = (e3))\/((op (e3) (e0)) = (e4))))))/\((((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e1)) = (e3))\/((op (e3) (e1)) = (e4))))))/\((((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e2)) = (e4))))))/\((((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4))))))/\((((op (e3) (e4)) = (e0))\/(((op (e3) (e4)) = (e1))\/(((op (e3) (e4)) = (e2))\/(((op (e3) (e4)) = (e3))\/((op (e3) (e4)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e0)) = (e1))\/(((op (e4) (e0)) = (e2))\/(((op (e4) (e0)) = (e3))\/((op (e4) (e0)) = (e4))))))/\((((op (e4) (e1)) = (e0))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e1)) = (e3))\/((op (e4) (e1)) = (e4))))))/\((((op (e4) (e2)) = (e0))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e2)) = (e3))\/((op (e4) (e2)) = (e4))))))/\((((op (e4) (e3)) = (e0))\/(((op (e4) (e3)) = (e1))\/(((op (e4) (e3)) = (e2))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4))))))/\(((op (unit) (e0)) = (e0))/\(((op (e0) (unit)) = (e0))/\(((op (unit) (e1)) = (e1))/\(((op (e1) (unit)) = (e1))/\(((op (unit) (e2)) = (e2))/\(((op (e2) (unit)) = (e2))/\(((op (unit) (e3)) = (e3))/\(((op (e3) (unit)) = (e3))/\(((op (unit) (e4)) = (e4))/\(((op (e4) (unit)) = (e4))/\((((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/(((op (e0) (e3)) = (e0))\/((op (e0) (e4)) = (e0))))))/\((((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/(((op (e3) (e0)) = (e0))\/((op (e4) (e0)) = (e0))))))/\((((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e3)) = (e1))\/((op (e0) (e4)) = (e1))))))/\((((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/(((op (e3) (e0)) = (e1))\/((op (e4) (e0)) = (e1))))))/\((((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e4)) = (e2))))))/\((((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/(((op (e3) (e0)) = (e2))\/((op (e4) (e0)) = (e2))))))/\((((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e4)) = (e3))))))/\((((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/(((op (e3) (e0)) = (e3))\/((op (e4) (e0)) = (e3))))))/\((((op (e0) (e0)) = (e4))\/(((op (e0) (e1)) = (e4))\/(((op (e0) (e2)) = (e4))\/(((op (e0) (e3)) = (e4))\/((op (e0) (e4)) = (e4))))))/\((((op (e0) (e0)) = (e4))\/(((op (e1) (e0)) = (e4))\/(((op (e2) (e0)) = (e4))\/(((op (e3) (e0)) = (e4))\/((op (e4) (e0)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e1) (e3)) = (e0))\/((op (e1) (e4)) = (e0))))))/\((((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0))))))/\((((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1))))))/\((((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e3) (e1)) = (e1))\/((op (e4) (e1)) = (e1))))))/\((((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e4)) = (e2))))))/\((((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e3) (e1)) = (e2))\/((op (e4) (e1)) = (e2))))))/\((((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e4)) = (e3))))))/\((((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3))))))/\((((op (e1) (e0)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e1) (e3)) = (e4))\/((op (e1) (e4)) = (e4))))))/\((((op (e0) (e1)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e3) (e1)) = (e4))\/((op (e4) (e1)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e2) (e4)) = (e0))))))/\((((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0))))))/\((((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e2) (e4)) = (e1))))))/\((((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e4) (e2)) = (e1))))))/\((((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2))))))/\((((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e4) (e2)) = (e2))))))/\((((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e4)) = (e3))))))/\((((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e4) (e2)) = (e3))))))/\((((op (e2) (e0)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e2) (e3)) = (e4))\/((op (e2) (e4)) = (e4))))))/\((((op (e0) (e2)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e3) (e2)) = (e4))\/((op (e4) (e2)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e3) (e4)) = (e0))))))/\((((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e4) (e3)) = (e0))))))/\((((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e3) (e4)) = (e1))))))/\((((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e4) (e3)) = (e1))))))/\((((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e4)) = (e2))))))/\((((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2))))))/\((((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3))))))/\((((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e4) (e3)) = (e3))))))/\((((op (e3) (e0)) = (e4))\/(((op (e3) (e1)) = (e4))\/(((op (e3) (e2)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e3) (e4)) = (e4))))))/\((((op (e0) (e3)) = (e4))\/(((op (e1) (e3)) = (e4))\/(((op (e2) (e3)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e1)) = (e0))\/(((op (e4) (e2)) = (e0))\/(((op (e4) (e3)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e4) (e0)) = (e1))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e3)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e4) (e0)) = (e2))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e3)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e4) (e0)) = (e3))\/(((op (e4) (e1)) = (e3))\/(((op (e4) (e2)) = (e3))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e0) (e4)) = (e3))\/(((op (e1) (e4)) = (e3))\/(((op (e2) (e4)) = (e3))\/(((op (e3) (e4)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4))))))/\(((op (e0) (e4)) = (e4))\/(((op (e1) (e4)) = (e4))\/(((op (e2) (e4)) = (e4))\/(((op (e3) (e4)) = (e4))\/((op (e4) (e4)) = (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.60/0.82 Proof. % 0.60/0.82 assert (zenon_L1_ : (~((e4) = (e4))) -> False). % 0.60/0.82 do 0 intro. intros zenon_H4. % 0.60/0.82 apply zenon_H4. apply refl_equal. % 0.60/0.82 (* end of lemma zenon_L1_ *) % 0.60/0.82 assert (zenon_L2_ : (~((unit) = (e0))) -> False). % 0.60/0.82 do 0 intro. intros zenon_H5. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 (* end of lemma zenon_L2_ *) % 0.60/0.82 assert (zenon_L3_ : (~((e0) = (e0))) -> False). % 0.60/0.82 do 0 intro. intros zenon_H6. % 0.60/0.82 apply zenon_H6. apply refl_equal. % 0.60/0.82 (* end of lemma zenon_L3_ *) % 0.60/0.82 assert (zenon_L4_ : (~((e1) = (e1))) -> False). % 0.60/0.82 do 0 intro. intros zenon_H7. % 0.60/0.82 apply zenon_H7. apply refl_equal. % 0.60/0.82 (* end of lemma zenon_L4_ *) % 0.60/0.82 assert (zenon_L5_ : (~((e2) = (e2))) -> False). % 0.60/0.82 do 0 intro. intros zenon_H8. % 0.60/0.82 apply zenon_H8. apply refl_equal. % 0.60/0.82 (* end of lemma zenon_L5_ *) % 0.60/0.82 assert (zenon_L6_ : (~((e3) = (e3))) -> False). % 0.60/0.82 do 0 intro. intros zenon_H9. % 0.60/0.82 apply zenon_H9. apply refl_equal. % 0.60/0.82 (* end of lemma zenon_L6_ *) % 0.60/0.82 apply NNPP. intro zenon_G. % 0.60/0.82 apply (zenon_and_s _ _ ax1). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.60/0.82 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.60/0.82 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.60/0.82 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.60/0.82 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.60/0.82 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H58). zenon_intro zenon_H5b. zenon_intro zenon_H5a. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H5a). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H5f. zenon_intro zenon_H5e. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H5e). zenon_intro zenon_H61. zenon_intro zenon_H60. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H60). zenon_intro zenon_H63. zenon_intro zenon_H62. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H62). zenon_intro zenon_H65. zenon_intro zenon_H64. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H65); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.60/0.82 exact (zenon_H67 zenon_H35). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H69 | zenon_intro zenon_H68 ]. % 0.60/0.82 exact (zenon_H69 zenon_H29). % 0.60/0.82 apply zenon_H68. zenon_intro zenon_H6a. % 0.60/0.82 cut (((op (e2) (e1)) = (e4)) = ((e2) = (e4))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H1b. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H33. % 0.60/0.82 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.60/0.82 cut (((op (e2) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H6b]. % 0.60/0.82 congruence. % 0.60/0.82 exact (zenon_H6b zenon_H6a). % 0.60/0.82 apply zenon_H4. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H4c); [ zenon_intro zenon_H6d | zenon_intro zenon_H6c ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H6d). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.60/0.82 exact (zenon_H6f zenon_H1d). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H6c); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H71). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H75. zenon_intro zenon_H74. % 0.60/0.82 exact (zenon_H75 zenon_H1f). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H70); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H77). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.60/0.82 exact (zenon_H7d zenon_H21). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H76); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H80). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H84). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.60/0.82 exact (zenon_H87 zenon_H23). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H7e); [ zenon_intro zenon_H89 | zenon_intro zenon_H88 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H89). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H8e). zenon_intro zenon_H91. zenon_intro zenon_H90. % 0.60/0.82 exact (zenon_H90 zenon_H25). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H88); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H93). zenon_intro zenon_H95. zenon_intro zenon_H94. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H94). zenon_intro zenon_H97. zenon_intro zenon_H96. % 0.60/0.82 exact (zenon_H97 zenon_H27). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H92); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H9a). zenon_intro zenon_H9d. zenon_intro zenon_H9c. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H9c). zenon_intro zenon_H69. zenon_intro zenon_H9e. % 0.60/0.82 exact (zenon_H69 zenon_H29). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H98); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Ha0). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Ha3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha5. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Ha5). zenon_intro zenon_Ha8. zenon_intro zenon_Ha7. % 0.60/0.82 exact (zenon_Ha8 zenon_H2b). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H9f); [ zenon_intro zenon_Haa | zenon_intro zenon_Ha9 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Haa). zenon_intro zenon_Hac. zenon_intro zenon_Hab. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hab). zenon_intro zenon_Hae. zenon_intro zenon_Had. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Had). zenon_intro zenon_Hb0. zenon_intro zenon_Haf. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Haf). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.60/0.82 exact (zenon_Hb1 zenon_H2d). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Ha9); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_Hb5. % 0.60/0.82 exact (zenon_Hb6 zenon_H2f). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hb3); [ zenon_intro zenon_Hb8 | zenon_intro zenon_Hb7 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hba. zenon_intro zenon_Hb9. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hb9). zenon_intro zenon_Hbc. zenon_intro zenon_Hbb. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hbb). zenon_intro zenon_Hbe. zenon_intro zenon_Hbd. % 0.60/0.82 exact (zenon_Hbe zenon_H31). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hb7); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hc0). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hc1). zenon_intro zenon_Hc4. zenon_intro zenon_Hc3. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hc3). zenon_intro zenon_H6b. zenon_intro zenon_Hc5. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hc5). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.60/0.82 exact (zenon_Hc6 zenon_H33). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc9 | zenon_intro zenon_Hc8 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hc9). zenon_intro zenon_Hcb. zenon_intro zenon_Hca. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hca). zenon_intro zenon_H67. zenon_intro zenon_Hcc. % 0.60/0.82 exact (zenon_H67 zenon_H35). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hc8); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hce). zenon_intro zenon_Hd0. zenon_intro zenon_Hcf. % 0.60/0.82 exact (zenon_Hd0 zenon_H37). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hcd); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hd2). zenon_intro zenon_Hd4. zenon_intro zenon_Hd3. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hd3). zenon_intro zenon_Hd6. zenon_intro zenon_Hd5. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hd5). zenon_intro zenon_Hd8. zenon_intro zenon_Hd7. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hd7). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 0.60/0.82 exact (zenon_Hda zenon_H39). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hd1); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hdc). zenon_intro zenon_Hde. zenon_intro zenon_Hdd. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hdd). zenon_intro zenon_He0. zenon_intro zenon_Hdf. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hdf). zenon_intro zenon_He2. zenon_intro zenon_He1. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_He1). zenon_intro zenon_He4. zenon_intro zenon_He3. % 0.60/0.82 exact (zenon_He4 zenon_H3b). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hdb); [ zenon_intro zenon_He6 | zenon_intro zenon_He5 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_He6). zenon_intro zenon_He8. zenon_intro zenon_He7. % 0.60/0.82 exact (zenon_He8 zenon_H3d). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_He5); [ zenon_intro zenon_Hea | zenon_intro zenon_He9 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hea). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Heb). zenon_intro zenon_Hee. zenon_intro zenon_Hed. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hed). zenon_intro zenon_Hf0. zenon_intro zenon_Hef. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hef). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.60/0.82 exact (zenon_Hf1 zenon_H3f). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_He9); [ zenon_intro zenon_Hf4 | zenon_intro zenon_Hf3 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hf4). zenon_intro zenon_Hf6. zenon_intro zenon_Hf5. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hf5). zenon_intro zenon_Hf8. zenon_intro zenon_Hf7. % 0.60/0.82 exact (zenon_Hf8 zenon_H41). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hf3); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hfa). zenon_intro zenon_Hfc. zenon_intro zenon_Hfb. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hfb). zenon_intro zenon_Hfe. zenon_intro zenon_Hfd. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_H100. zenon_intro zenon_Hff. % 0.60/0.82 exact (zenon_H100 zenon_H43). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_Hf9); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H102). zenon_intro zenon_H104. zenon_intro zenon_H103. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H103). zenon_intro zenon_H106. zenon_intro zenon_H105. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H107). zenon_intro zenon_H10a. zenon_intro zenon_H109. % 0.60/0.82 exact (zenon_H109 zenon_H45). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H101); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H10d. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H10d). zenon_intro zenon_H110. zenon_intro zenon_H10f. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H10f). zenon_intro zenon_H112. zenon_intro zenon_H111. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H111). zenon_intro zenon_H114. zenon_intro zenon_H113. % 0.60/0.82 exact (zenon_H114 zenon_H47). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H10b); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H116). zenon_intro zenon_H118. zenon_intro zenon_H117. % 0.60/0.82 exact (zenon_H118 zenon_H49). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H115); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H11a). zenon_intro zenon_H11c. zenon_intro zenon_H11b. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H11b). zenon_intro zenon_H11e. zenon_intro zenon_H11d. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H11d). zenon_intro zenon_H120. zenon_intro zenon_H11f. % 0.60/0.82 exact (zenon_H120 zenon_H4b). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H119); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123. % 0.60/0.82 apply (zenon_notor_s _ _ zenon_H123). zenon_intro zenon_H126. zenon_intro zenon_H125. % 0.60/0.82 exact (zenon_H126 zenon_H4a). % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H121); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ]. % 0.60/0.82 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H128. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H1d. % 0.60/0.82 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.60/0.82 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_H12a | zenon_intro zenon_H12b ]. % 0.60/0.82 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H129. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H12a. % 0.60/0.82 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12b]. % 0.60/0.82 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12c]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 congruence. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H6. apply refl_equal. % 0.60/0.82 apply zenon_H12b. apply refl_equal. % 0.60/0.82 apply zenon_H12b. apply refl_equal. % 0.60/0.82 apply zenon_H6. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H127); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ]. % 0.60/0.82 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H12e. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H1d. % 0.60/0.82 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.60/0.82 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_H130 | zenon_intro zenon_H131 ]. % 0.60/0.82 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H12f. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H130. % 0.60/0.82 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H131]. % 0.60/0.82 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H132]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.60/0.82 congruence. % 0.60/0.82 apply zenon_H6. apply refl_equal. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H131. apply refl_equal. % 0.60/0.82 apply zenon_H131. apply refl_equal. % 0.60/0.82 apply zenon_H6. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H12d); [ zenon_intro zenon_H134 | zenon_intro zenon_H133 ]. % 0.60/0.82 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H134. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H1f. % 0.60/0.82 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.60/0.82 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_H136 | zenon_intro zenon_H137 ]. % 0.60/0.82 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H135. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H136. % 0.60/0.82 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H137]. % 0.60/0.82 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H138]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 congruence. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H7. apply refl_equal. % 0.60/0.82 apply zenon_H137. apply refl_equal. % 0.60/0.82 apply zenon_H137. apply refl_equal. % 0.60/0.82 apply zenon_H7. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H133); [ zenon_intro zenon_H13a | zenon_intro zenon_H139 ]. % 0.60/0.82 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H13a. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H27. % 0.60/0.82 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.60/0.82 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_H13c | zenon_intro zenon_H13d ]. % 0.60/0.82 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H13b. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H13c. % 0.60/0.82 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H13d]. % 0.60/0.82 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H13e]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.60/0.82 congruence. % 0.60/0.82 apply zenon_H7. apply refl_equal. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H13d. apply refl_equal. % 0.60/0.82 apply zenon_H13d. apply refl_equal. % 0.60/0.82 apply zenon_H7. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H139); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 0.60/0.82 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H140. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H21. % 0.60/0.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.60/0.82 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_H142 | zenon_intro zenon_H143 ]. % 0.60/0.82 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H141. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H142. % 0.60/0.82 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H143]. % 0.60/0.82 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H144]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 congruence. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H8. apply refl_equal. % 0.60/0.82 apply zenon_H143. apply refl_equal. % 0.60/0.82 apply zenon_H143. apply refl_equal. % 0.60/0.82 apply zenon_H8. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H13f); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.60/0.82 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H146. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H31. % 0.60/0.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.60/0.82 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_H148 | zenon_intro zenon_H149 ]. % 0.60/0.82 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H147. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H148. % 0.60/0.82 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H149]. % 0.60/0.82 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H14a]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.60/0.82 congruence. % 0.60/0.82 apply zenon_H8. apply refl_equal. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H149. apply refl_equal. % 0.60/0.82 apply zenon_H149. apply refl_equal. % 0.60/0.82 apply zenon_H8. apply refl_equal. % 0.60/0.82 apply (zenon_notand_s _ _ zenon_H145); [ zenon_intro zenon_H14c | zenon_intro zenon_H14b ]. % 0.60/0.82 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H14c. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H23. % 0.60/0.82 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.60/0.82 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 0.60/0.82 congruence. % 0.60/0.82 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_H14e | zenon_intro zenon_H14f ]. % 0.60/0.82 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))). % 0.60/0.82 intro zenon_D_pnotp. % 0.60/0.82 apply zenon_H14d. % 0.60/0.82 rewrite <- zenon_D_pnotp. % 0.60/0.82 exact zenon_H14e. % 0.60/0.82 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H14f]. % 0.60/0.82 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H150]. % 0.60/0.82 congruence. % 0.60/0.82 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.60/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.60/0.82 congruence. % 0.60/0.82 exact (zenon_H5 ax3). % 0.60/0.82 apply zenon_H9. apply refl_equal. % 0.66/0.82 apply zenon_H14f. apply refl_equal. % 0.66/0.82 apply zenon_H14f. apply refl_equal. % 0.66/0.82 apply zenon_H9. apply refl_equal. % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H14b); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.66/0.82 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))). % 0.66/0.82 intro zenon_D_pnotp. % 0.66/0.82 apply zenon_H152. % 0.66/0.82 rewrite <- zenon_D_pnotp. % 0.66/0.82 exact zenon_H3b. % 0.66/0.82 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.66/0.82 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H153]. % 0.66/0.82 congruence. % 0.66/0.82 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_H154 | zenon_intro zenon_H155 ]. % 0.66/0.82 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))). % 0.66/0.82 intro zenon_D_pnotp. % 0.66/0.82 apply zenon_H153. % 0.66/0.82 rewrite <- zenon_D_pnotp. % 0.66/0.82 exact zenon_H154. % 0.66/0.82 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H155]. % 0.66/0.82 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H156]. % 0.66/0.82 congruence. % 0.66/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.66/0.82 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.66/0.82 congruence. % 0.66/0.82 apply zenon_H9. apply refl_equal. % 0.66/0.82 exact (zenon_H5 ax3). % 0.66/0.82 apply zenon_H155. apply refl_equal. % 0.66/0.82 apply zenon_H155. apply refl_equal. % 0.66/0.82 apply zenon_H9. apply refl_equal. % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H151); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ]. % 0.66/0.82 cut (((op (e0) (e4)) = (e4)) = ((op (unit) (e4)) = (e4))). % 0.66/0.82 intro zenon_D_pnotp. % 0.66/0.82 apply zenon_H158. % 0.66/0.82 rewrite <- zenon_D_pnotp. % 0.66/0.82 exact zenon_H25. % 0.66/0.82 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.66/0.82 cut (((op (e0) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H159]. % 0.66/0.82 congruence. % 0.66/0.82 elim (classic ((op (unit) (e4)) = (op (unit) (e4)))); [ zenon_intro zenon_H15a | zenon_intro zenon_H15b ]. % 0.66/0.82 cut (((op (unit) (e4)) = (op (unit) (e4))) = ((op (e0) (e4)) = (op (unit) (e4)))). % 0.66/0.82 intro zenon_D_pnotp. % 0.66/0.82 apply zenon_H159. % 0.66/0.82 rewrite <- zenon_D_pnotp. % 0.66/0.82 exact zenon_H15a. % 0.66/0.82 cut (((op (unit) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H15b]. % 0.66/0.82 cut (((op (unit) (e4)) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H15c]. % 0.66/0.82 congruence. % 0.66/0.82 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.66/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.66/0.82 congruence. % 0.66/0.82 exact (zenon_H5 ax3). % 0.66/0.82 apply zenon_H4. apply refl_equal. % 0.66/0.82 apply zenon_H15b. apply refl_equal. % 0.66/0.82 apply zenon_H15b. apply refl_equal. % 0.66/0.82 apply zenon_H4. apply refl_equal. % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H157); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 0.66/0.82 cut (((op (e4) (e0)) = (e4)) = ((op (e4) (unit)) = (e4))). % 0.66/0.82 intro zenon_D_pnotp. % 0.66/0.82 apply zenon_H15e. % 0.66/0.82 rewrite <- zenon_D_pnotp. % 0.66/0.82 exact zenon_H45. % 0.66/0.82 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.66/0.82 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H15f]. % 0.66/0.82 congruence. % 0.66/0.82 elim (classic ((op (e4) (unit)) = (op (e4) (unit)))); [ zenon_intro zenon_H160 | zenon_intro zenon_H161 ]. % 0.66/0.82 cut (((op (e4) (unit)) = (op (e4) (unit))) = ((op (e4) (e0)) = (op (e4) (unit)))). % 0.66/0.82 intro zenon_D_pnotp. % 0.66/0.82 apply zenon_H15f. % 0.66/0.82 rewrite <- zenon_D_pnotp. % 0.66/0.82 exact zenon_H160. % 0.66/0.82 cut (((op (e4) (unit)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H161]. % 0.66/0.82 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H162]. % 0.66/0.82 congruence. % 0.66/0.82 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.66/0.82 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.66/0.82 congruence. % 0.66/0.82 apply zenon_H4. apply refl_equal. % 0.66/0.82 exact (zenon_H5 ax3). % 0.66/0.82 apply zenon_H161. apply refl_equal. % 0.66/0.82 apply zenon_H161. apply refl_equal. % 0.66/0.82 apply zenon_H4. apply refl_equal. % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H15d); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H164). zenon_intro zenon_H5. zenon_intro zenon_H165. % 0.66/0.82 exact (zenon_H5 ax3). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H163); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H167). zenon_intro zenon_H6f. zenon_intro zenon_H168. % 0.66/0.82 exact (zenon_H6f zenon_H1d). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H166); [ zenon_intro zenon_H16a | zenon_intro zenon_H169 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H16a). zenon_intro zenon_H6f. zenon_intro zenon_H16b. % 0.66/0.82 exact (zenon_H6f zenon_H1d). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H169); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H16d). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H16e). zenon_intro zenon_H75. zenon_intro zenon_H170. % 0.66/0.82 exact (zenon_H75 zenon_H1f). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H16c); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H172). zenon_intro zenon_H16f. zenon_intro zenon_H173. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H173). zenon_intro zenon_H97. zenon_intro zenon_H174. % 0.66/0.82 exact (zenon_H97 zenon_H27). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H171); [ zenon_intro zenon_H176 | zenon_intro zenon_H175 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H176). zenon_intro zenon_H178. zenon_intro zenon_H177. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H179). zenon_intro zenon_H7d. zenon_intro zenon_H17b. % 0.66/0.82 exact (zenon_H7d zenon_H21). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H175); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H17d). zenon_intro zenon_H178. zenon_intro zenon_H17e. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H17e). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H17f). zenon_intro zenon_Hbe. zenon_intro zenon_H181. % 0.66/0.82 exact (zenon_Hbe zenon_H31). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H17c); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H183). zenon_intro zenon_H185. zenon_intro zenon_H184. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H186). zenon_intro zenon_H189. zenon_intro zenon_H188. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H188). zenon_intro zenon_H87. zenon_intro zenon_H91. % 0.66/0.82 exact (zenon_H87 zenon_H23). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H182); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H18b). zenon_intro zenon_H185. zenon_intro zenon_H18c. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H18c). zenon_intro zenon_H18e. zenon_intro zenon_H18d. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H18d). zenon_intro zenon_H190. zenon_intro zenon_H18f. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H18f). zenon_intro zenon_He4. zenon_intro zenon_H10a. % 0.66/0.82 exact (zenon_He4 zenon_H3b). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H18a); [ zenon_intro zenon_H192 | zenon_intro zenon_H191 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H192). zenon_intro zenon_H194. zenon_intro zenon_H193. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H193). zenon_intro zenon_H196. zenon_intro zenon_H195. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H195). zenon_intro zenon_H198. zenon_intro zenon_H197. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H197). zenon_intro zenon_H86. zenon_intro zenon_H90. % 0.66/0.82 exact (zenon_H90 zenon_H25). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H191); [ zenon_intro zenon_H19a | zenon_intro zenon_H199 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H19a). zenon_intro zenon_H194. zenon_intro zenon_H19b. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H19b). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H19c). zenon_intro zenon_H19f. zenon_intro zenon_H19e. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H19e). zenon_intro zenon_He3. zenon_intro zenon_H109. % 0.66/0.82 exact (zenon_H109 zenon_H45). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H199); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a1). zenon_intro zenon_H95. zenon_intro zenon_H1a2. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a2). zenon_intro zenon_H9b. zenon_intro zenon_H1a3. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a3). zenon_intro zenon_Ha2. zenon_intro zenon_H1a4. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a4). zenon_intro zenon_Hac. zenon_intro zenon_Hb6. % 0.66/0.82 exact (zenon_Hb6 zenon_H2f). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a6). zenon_intro zenon_H73. zenon_intro zenon_H1a7. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a7). zenon_intro zenon_H9b. zenon_intro zenon_H1a8. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a8). zenon_intro zenon_Hc2. zenon_intro zenon_H1a9. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1a9). zenon_intro zenon_He8. zenon_intro zenon_H10e. % 0.66/0.82 exact (zenon_He8 zenon_H3d). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1a5); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ab). zenon_intro zenon_H97. zenon_intro zenon_H1ac. % 0.66/0.82 exact (zenon_H97 zenon_H27). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ae). zenon_intro zenon_H75. zenon_intro zenon_H1af. % 0.66/0.82 exact (zenon_H75 zenon_H1f). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1b1). zenon_intro zenon_H180. zenon_intro zenon_H1b2. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1b2). zenon_intro zenon_H69. zenon_intro zenon_H1b3. % 0.66/0.82 exact (zenon_H69 zenon_H29). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1b5). zenon_intro zenon_H17a. zenon_intro zenon_H1b6. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1b6). zenon_intro zenon_H69. zenon_intro zenon_H1b7. % 0.66/0.82 exact (zenon_H69 zenon_H29). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1b4); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1b8 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1b9). zenon_intro zenon_H18e. zenon_intro zenon_H1ba. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ba). zenon_intro zenon_H1bc. zenon_intro zenon_H1bb. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1bb). zenon_intro zenon_Ha8. zenon_intro zenon_H1bd. % 0.66/0.82 exact (zenon_Ha8 zenon_H2b). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1b8); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1bf). zenon_intro zenon_H187. zenon_intro zenon_H1c0. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c0). zenon_intro zenon_H1bc. zenon_intro zenon_H1c1. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c1). zenon_intro zenon_Hc7. zenon_intro zenon_H1c2. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c2). zenon_intro zenon_H1c3. zenon_intro zenon_H114. % 0.66/0.82 exact (zenon_H114 zenon_H47). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1be); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c5). zenon_intro zenon_H19d. zenon_intro zenon_H1c6. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c6). zenon_intro zenon_H1c8. zenon_intro zenon_H1c7. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c7). zenon_intro zenon_Ha7. zenon_intro zenon_H1c9. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1c9). zenon_intro zenon_Hb1. zenon_intro zenon_H1ca. % 0.66/0.82 exact (zenon_Hb1 zenon_H2d). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1c4); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1cb ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1cc). zenon_intro zenon_H196. zenon_intro zenon_H1cd. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1cd). zenon_intro zenon_H1c8. zenon_intro zenon_H1ce. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ce). zenon_intro zenon_Hc6. zenon_intro zenon_H1cf. % 0.66/0.82 exact (zenon_Hc6 zenon_H33). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1cb); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d1). zenon_intro zenon_Hba. zenon_intro zenon_H1d2. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d2). zenon_intro zenon_Hc2. zenon_intro zenon_H1d3. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d3). zenon_intro zenon_Hcb. zenon_intro zenon_H1d4. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d4). zenon_intro zenon_Hd0. zenon_intro zenon_Hd4. % 0.66/0.82 exact (zenon_Hd0 zenon_H37). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d6). zenon_intro zenon_H79. zenon_intro zenon_H1d7. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d7). zenon_intro zenon_Ha2. zenon_intro zenon_H1d8. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d8). zenon_intro zenon_Hcb. zenon_intro zenon_H1d9. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1d9). zenon_intro zenon_Hec. zenon_intro zenon_H118. % 0.66/0.82 exact (zenon_H118 zenon_H49). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1d5); [ zenon_intro zenon_H1db | zenon_intro zenon_H1da ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1db). zenon_intro zenon_Hbc. zenon_intro zenon_H1dc. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1dc). zenon_intro zenon_Hc4. zenon_intro zenon_H1dd. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1dd). zenon_intro zenon_H67. zenon_intro zenon_H1de. % 0.66/0.82 exact (zenon_H67 zenon_H35). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1da); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1e0). zenon_intro zenon_H7b. zenon_intro zenon_H1e1. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_Ha4. zenon_intro zenon_H1e2. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1e2). zenon_intro zenon_H67. zenon_intro zenon_H1e3. % 0.66/0.82 exact (zenon_H67 zenon_H35). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1df); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e4 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1e5). zenon_intro zenon_Hbe. zenon_intro zenon_H1e6. % 0.66/0.82 exact (zenon_Hbe zenon_H31). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1e4); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1e8). zenon_intro zenon_H7d. zenon_intro zenon_H1e9. % 0.66/0.82 exact (zenon_H7d zenon_H21). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1e7); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ea ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1eb). zenon_intro zenon_H190. zenon_intro zenon_H1ec. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ec). zenon_intro zenon_Hc7. zenon_intro zenon_H1ed. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ed). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1ee). zenon_intro zenon_H1f0. zenon_intro zenon_Hda. % 0.66/0.82 exact (zenon_Hda zenon_H39). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1ea); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1f2). zenon_intro zenon_H189. zenon_intro zenon_H1f3. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1f3). zenon_intro zenon_Ha8. zenon_intro zenon_H1f4. % 0.66/0.82 exact (zenon_Ha8 zenon_H2b). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1f6). zenon_intro zenon_H19f. zenon_intro zenon_H1f7. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_Hc6. zenon_intro zenon_H1f8. % 0.66/0.82 exact (zenon_Hc6 zenon_H33). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1f5); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1fa). zenon_intro zenon_H198. zenon_intro zenon_H1fb. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1fb). zenon_intro zenon_Ha7. zenon_intro zenon_H1fc. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1fc). zenon_intro zenon_H1fe. zenon_intro zenon_H1fd. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H1fd). zenon_intro zenon_Hf1. zenon_intro zenon_H1ff. % 0.66/0.82 exact (zenon_Hf1 zenon_H3f). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H1f9); [ zenon_intro zenon_H201 | zenon_intro zenon_H200 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H201). zenon_intro zenon_Hde. zenon_intro zenon_H202. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H202). zenon_intro zenon_He8. zenon_intro zenon_H203. % 0.66/0.82 exact (zenon_He8 zenon_H3d). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H200); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H205). zenon_intro zenon_H81. zenon_intro zenon_H206. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H206). zenon_intro zenon_Hac. zenon_intro zenon_H207. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H207). zenon_intro zenon_Hd0. zenon_intro zenon_H208. % 0.66/0.82 exact (zenon_Hd0 zenon_H37). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H204); [ zenon_intro zenon_H20a | zenon_intro zenon_H209 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H20a). zenon_intro zenon_He0. zenon_intro zenon_H20b. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H20b). zenon_intro zenon_H20d. zenon_intro zenon_H20c. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H20c). zenon_intro zenon_Hee. zenon_intro zenon_H20e. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H20e). zenon_intro zenon_Hf8. zenon_intro zenon_Hfe. % 0.66/0.82 exact (zenon_Hf8 zenon_H41). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H209); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H210). zenon_intro zenon_H83. zenon_intro zenon_H211. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H211). zenon_intro zenon_Hae. zenon_intro zenon_H212. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H213). zenon_intro zenon_Hf8. zenon_intro zenon_H11e. % 0.66/0.82 exact (zenon_Hf8 zenon_H41). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H20f); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H216). zenon_intro zenon_He2. zenon_intro zenon_H217. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H217). zenon_intro zenon_H219. zenon_intro zenon_H218. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H218). zenon_intro zenon_Hf0. zenon_intro zenon_H21a. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H21a). zenon_intro zenon_H21b. zenon_intro zenon_H100. % 0.66/0.82 exact (zenon_H100 zenon_H43). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H215); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H21d). zenon_intro zenon_H85. zenon_intro zenon_H21e. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H21e). zenon_intro zenon_Hb0. zenon_intro zenon_H21f. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H221. zenon_intro zenon_H220. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_H21b. zenon_intro zenon_H120. % 0.66/0.82 exact (zenon_H120 zenon_H4b). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H21c); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H223). zenon_intro zenon_He4. zenon_intro zenon_H224. % 0.66/0.82 exact (zenon_He4 zenon_H3b). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H222); [ zenon_intro zenon_H226 | zenon_intro zenon_H225 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H226). zenon_intro zenon_H87. zenon_intro zenon_H227. % 0.66/0.82 exact (zenon_H87 zenon_H23). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H225); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H229). zenon_intro zenon_He3. zenon_intro zenon_H22a. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H22a). zenon_intro zenon_H22c. zenon_intro zenon_H22b. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H22b). zenon_intro zenon_Hf1. zenon_intro zenon_H22d. % 0.66/0.82 exact (zenon_Hf1 zenon_H3f). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H228); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H22f). zenon_intro zenon_H86. zenon_intro zenon_H230. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H230). zenon_intro zenon_Hb1. zenon_intro zenon_H231. % 0.66/0.82 exact (zenon_Hb1 zenon_H2d). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H22e); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H233). zenon_intro zenon_H104. zenon_intro zenon_H234. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H234). zenon_intro zenon_H10e. zenon_intro zenon_H235. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H235). zenon_intro zenon_H118. zenon_intro zenon_H236. % 0.66/0.82 exact (zenon_H118 zenon_H49). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H232); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H238). zenon_intro zenon_H8b. zenon_intro zenon_H239. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H239). zenon_intro zenon_Hb6. zenon_intro zenon_H23a. % 0.66/0.82 exact (zenon_Hb6 zenon_H2f). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H237); [ zenon_intro zenon_H23c | zenon_intro zenon_H23b ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H23c). zenon_intro zenon_H106. zenon_intro zenon_H23d. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H23d). zenon_intro zenon_H110. zenon_intro zenon_H23e. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H23e). zenon_intro zenon_H240. zenon_intro zenon_H23f. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H23f). zenon_intro zenon_H11e. zenon_intro zenon_H126. % 0.66/0.82 exact (zenon_H126 zenon_H4a). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H23b); [ zenon_intro zenon_H242 | zenon_intro zenon_H241 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H242). zenon_intro zenon_H8d. zenon_intro zenon_H243. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H243). zenon_intro zenon_H245. zenon_intro zenon_H244. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H244). zenon_intro zenon_Hd6. zenon_intro zenon_H246. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H246). zenon_intro zenon_Hfe. zenon_intro zenon_H126. % 0.66/0.82 exact (zenon_H126 zenon_H4a). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H241); [ zenon_intro zenon_H248 | zenon_intro zenon_H247 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H248). zenon_intro zenon_H108. zenon_intro zenon_H249. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H249). zenon_intro zenon_H112. zenon_intro zenon_H24a. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H24a). zenon_intro zenon_H24c. zenon_intro zenon_H24b. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H24b). zenon_intro zenon_H120. zenon_intro zenon_H24d. % 0.66/0.82 exact (zenon_H120 zenon_H4b). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H247); [ zenon_intro zenon_H24f | zenon_intro zenon_H24e ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H24f). zenon_intro zenon_H8f. zenon_intro zenon_H250. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H250). zenon_intro zenon_H252. zenon_intro zenon_H251. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H251). zenon_intro zenon_Hd8. zenon_intro zenon_H253. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H253). zenon_intro zenon_H100. zenon_intro zenon_H24d. % 0.66/0.82 exact (zenon_H100 zenon_H43). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H24e); [ zenon_intro zenon_H255 | zenon_intro zenon_H254 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H255). zenon_intro zenon_H10a. zenon_intro zenon_H256. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H256). zenon_intro zenon_H114. zenon_intro zenon_H257. % 0.66/0.82 exact (zenon_H114 zenon_H47). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H254); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H259). zenon_intro zenon_H91. zenon_intro zenon_H25a. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H25a). zenon_intro zenon_H25c. zenon_intro zenon_H25b. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H25b). zenon_intro zenon_Hda. zenon_intro zenon_H25d. % 0.66/0.82 exact (zenon_Hda zenon_H39). % 0.66/0.82 apply (zenon_notand_s _ _ zenon_H258); [ zenon_intro zenon_H25f | zenon_intro zenon_H25e ]. % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H25f). zenon_intro zenon_H109. zenon_intro zenon_H260. % 0.66/0.82 exact (zenon_H109 zenon_H45). % 0.66/0.82 apply (zenon_notor_s _ _ zenon_H25e). zenon_intro zenon_H90. zenon_intro zenon_H261. % 0.66/0.82 exact (zenon_H90 zenon_H25). % 0.66/0.82 Qed. % 0.66/0.82 % SZS output end Proof % 0.66/0.82 (* END-PROOF *) % 0.66/0.82 nodes searched: 1709 % 0.66/0.82 max branch formulas: 146 % 0.66/0.82 proof nodes created: 220 % 0.66/0.82 formulas created: 7957 % 0.66/0.82 %------------------------------------------------------------------------------