%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG091+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n027.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 0.71s 0.91s % Output : Proof 0.71s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG091+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.13 % Command : run_zenon %s %d % 0.14/0.34 % Computer : n027.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 : Wed Jun 8 14:22:56 EDT 2022 % 0.14/0.34 % CPUTime : % 0.71/0.91 (* PROOF-FOUND *) % 0.71/0.91 % SZS status Theorem % 0.71/0.91 (* BEGIN-PROOF *) % 0.71/0.91 % SZS output start Proof % 0.71/0.91 Theorem co1 : (((~((op (e0) (e0)) = (e0)))\/((op (e0) (e0)) = (e0)))/\(((~((op (e0) (e0)) = (e1)))\/((op (e0) (e1)) = (e0)))/\(((~((op (e0) (e0)) = (e2)))\/((op (e0) (e2)) = (e0)))/\(((~((op (e0) (e0)) = (e3)))\/((op (e0) (e3)) = (e0)))/\(((~((op (e0) (e0)) = (e4)))\/((op (e0) (e4)) = (e0)))/\(((~((op (e1) (e1)) = (e0)))\/((op (e1) (e0)) = (e1)))/\(((~((op (e1) (e1)) = (e1)))\/((op (e1) (e1)) = (e1)))/\(((~((op (e1) (e1)) = (e2)))\/((op (e1) (e2)) = (e1)))/\(((~((op (e1) (e1)) = (e3)))\/((op (e1) (e3)) = (e1)))/\(((~((op (e1) (e1)) = (e4)))\/((op (e1) (e4)) = (e1)))/\(((~((op (e2) (e2)) = (e0)))\/((op (e2) (e0)) = (e2)))/\(((~((op (e2) (e2)) = (e1)))\/((op (e2) (e1)) = (e2)))/\(((~((op (e2) (e2)) = (e2)))\/((op (e2) (e2)) = (e2)))/\(((~((op (e2) (e2)) = (e3)))\/((op (e2) (e3)) = (e2)))/\(((~((op (e2) (e2)) = (e4)))\/((op (e2) (e4)) = (e2)))/\(((~((op (e3) (e3)) = (e0)))\/((op (e3) (e0)) = (e3)))/\(((~((op (e3) (e3)) = (e1)))\/((op (e3) (e1)) = (e3)))/\(((~((op (e3) (e3)) = (e2)))\/((op (e3) (e2)) = (e3)))/\(((~((op (e3) (e3)) = (e3)))\/((op (e3) (e3)) = (e3)))/\(((~((op (e3) (e3)) = (e4)))\/((op (e3) (e4)) = (e3)))/\(((~((op (e4) (e4)) = (e0)))\/((op (e4) (e0)) = (e4)))/\(((~((op (e4) (e4)) = (e1)))\/((op (e4) (e1)) = (e4)))/\(((~((op (e4) (e4)) = (e2)))\/((op (e4) (e2)) = (e4)))/\(((~((op (e4) (e4)) = (e3)))\/((op (e4) (e3)) = (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.71/0.91 Proof. % 0.71/0.91 assert (zenon_L1_ : (~((e0) = (e0))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H4. % 0.71/0.91 apply zenon_H4. apply refl_equal. % 0.71/0.91 (* end of lemma zenon_L1_ *) % 0.71/0.91 assert (zenon_L2_ : (~((unit) = (e0))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H5. % 0.71/0.91 exact (zenon_H5 ax3). % 0.71/0.91 (* end of lemma zenon_L2_ *) % 0.71/0.91 assert (zenon_L3_ : (~((e1) = (e1))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H6. % 0.71/0.91 apply zenon_H6. apply refl_equal. % 0.71/0.91 (* end of lemma zenon_L3_ *) % 0.71/0.91 assert (zenon_L4_ : (~((e2) = (e2))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H7. % 0.71/0.91 apply zenon_H7. apply refl_equal. % 0.71/0.91 (* end of lemma zenon_L4_ *) % 0.71/0.91 assert (zenon_L5_ : (~((e3) = (e3))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H8. % 0.71/0.91 apply zenon_H8. apply refl_equal. % 0.71/0.91 (* end of lemma zenon_L5_ *) % 0.71/0.91 assert (zenon_L6_ : (~((e4) = (e4))) -> False). % 0.71/0.91 do 0 intro. intros zenon_H9. % 0.71/0.91 apply zenon_H9. apply refl_equal. % 0.71/0.91 (* end of lemma zenon_L6_ *) % 0.71/0.91 apply NNPP. intro zenon_G. % 0.71/0.91 apply (zenon_and_s _ _ ax1). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.71/0.91 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.71/0.91 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.71/0.91 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.71/0.91 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.71/0.91 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H43 | zenon_intro zenon_H42 ]. % 0.71/0.91 apply (zenon_notor_s _ _ zenon_H43). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.71/0.91 exact (zenon_H45 zenon_H44). % 0.71/0.91 apply (zenon_notand_s _ _ zenon_H42); [ zenon_intro zenon_H47 | zenon_intro zenon_H46 ]. % 0.71/0.91 apply (zenon_notor_s _ _ zenon_H47). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.71/0.91 apply zenon_H49. zenon_intro zenon_H4a. % 0.71/0.91 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H4b | zenon_intro zenon_H6 ]. % 0.71/0.91 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_Hb. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H4b. % 0.71/0.91 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.91 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 0.71/0.91 congruence. % 0.71/0.91 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_H4c. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H13. % 0.71/0.91 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.91 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H4d]. % 0.71/0.91 congruence. % 0.71/0.91 exact (zenon_H4d zenon_H4a). % 0.71/0.91 apply zenon_H4. apply refl_equal. % 0.71/0.91 apply zenon_H6. apply refl_equal. % 0.71/0.91 apply zenon_H6. apply refl_equal. % 0.71/0.91 apply (zenon_notand_s _ _ zenon_H46); [ zenon_intro zenon_H4f | zenon_intro zenon_H4e ]. % 0.71/0.91 apply (zenon_notor_s _ _ zenon_H4f). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.71/0.91 apply zenon_H51. zenon_intro zenon_H52. % 0.71/0.91 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H53 | zenon_intro zenon_H7 ]. % 0.71/0.91 cut (((e2) = (e2)) = ((e0) = (e2))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_Hd. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H53. % 0.71/0.91 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.91 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 0.71/0.91 congruence. % 0.71/0.91 cut (((op (e0) (e0)) = (e0)) = ((e2) = (e0))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_H54. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H13. % 0.71/0.91 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.91 cut (((op (e0) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H55]. % 0.71/0.91 congruence. % 0.71/0.91 exact (zenon_H55 zenon_H52). % 0.71/0.91 apply zenon_H4. apply refl_equal. % 0.71/0.91 apply zenon_H7. apply refl_equal. % 0.71/0.91 apply zenon_H7. apply refl_equal. % 0.71/0.91 apply (zenon_notand_s _ _ zenon_H4e); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 0.71/0.91 apply (zenon_notor_s _ _ zenon_H57). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.71/0.91 apply zenon_H59. zenon_intro zenon_H5a. % 0.71/0.91 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H5b | zenon_intro zenon_H8 ]. % 0.71/0.91 cut (((e3) = (e3)) = ((e0) = (e3))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_Hf. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H5b. % 0.71/0.91 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.91 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 0.71/0.91 congruence. % 0.71/0.91 cut (((op (e0) (e0)) = (e0)) = ((e3) = (e0))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_H5c. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H13. % 0.71/0.91 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.91 cut (((op (e0) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 0.71/0.91 congruence. % 0.71/0.91 exact (zenon_H5d zenon_H5a). % 0.71/0.91 apply zenon_H4. apply refl_equal. % 0.71/0.91 apply zenon_H8. apply refl_equal. % 0.71/0.91 apply zenon_H8. apply refl_equal. % 0.71/0.91 apply (zenon_notand_s _ _ zenon_H56); [ zenon_intro zenon_H5f | zenon_intro zenon_H5e ]. % 0.71/0.91 apply (zenon_notor_s _ _ zenon_H5f). zenon_intro zenon_H61. zenon_intro zenon_H60. % 0.71/0.91 apply zenon_H61. zenon_intro zenon_H62. % 0.71/0.91 elim (classic ((e4) = (e4))); [ zenon_intro zenon_H63 | zenon_intro zenon_H9 ]. % 0.71/0.91 cut (((e4) = (e4)) = ((e0) = (e4))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_H11. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H63. % 0.71/0.91 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.91 cut (((e4) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 0.71/0.91 congruence. % 0.71/0.91 cut (((op (e0) (e0)) = (e0)) = ((e4) = (e0))). % 0.71/0.91 intro zenon_D_pnotp. % 0.71/0.91 apply zenon_H64. % 0.71/0.91 rewrite <- zenon_D_pnotp. % 0.71/0.91 exact zenon_H13. % 0.71/0.91 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.91 cut (((op (e0) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 0.71/0.91 congruence. % 0.71/0.91 exact (zenon_H65 zenon_H62). % 0.71/0.91 apply zenon_H4. apply refl_equal. % 0.71/0.91 apply zenon_H9. apply refl_equal. % 0.71/0.91 apply zenon_H9. apply refl_equal. % 0.71/0.91 apply (zenon_notand_s _ _ zenon_H5e); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 0.71/0.91 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 0.71/0.91 exact (zenon_H68 zenon_H1d). % 0.71/0.91 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H6b). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.71/0.92 exact (zenon_H6d zenon_H6c). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H6f | zenon_intro zenon_H6e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H6f). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.71/0.92 apply zenon_H71. zenon_intro zenon_H72. % 0.71/0.92 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H53 | zenon_intro zenon_H7 ]. % 0.71/0.92 cut (((e2) = (e2)) = ((e0) = (e2))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hd. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H53. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e1) (e1)) = (e0)) = ((e2) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H54. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1f. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e1) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H73]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H73 zenon_H72). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H6e); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.71/0.92 apply zenon_H77. zenon_intro zenon_H78. % 0.71/0.92 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H5b | zenon_intro zenon_H8 ]. % 0.71/0.92 cut (((e3) = (e3)) = ((e0) = (e3))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hf. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H5b. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e1) (e1)) = (e0)) = ((e3) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H5c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1f. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e1) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H79 zenon_H78). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H74); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H7b). zenon_intro zenon_H7d. zenon_intro zenon_H7c. % 0.71/0.92 apply zenon_H7d. zenon_intro zenon_H7e. % 0.71/0.92 elim (classic ((e4) = (e4))); [ zenon_intro zenon_H63 | zenon_intro zenon_H9 ]. % 0.71/0.92 cut (((e4) = (e4)) = ((e0) = (e4))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H11. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H63. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 cut (((e4) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e1) (e1)) = (e0)) = ((e4) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H64. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1f. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e1) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H7f zenon_H7e). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H7a); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H81). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.71/0.92 exact (zenon_H82 zenon_H27). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H85). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.71/0.92 apply zenon_H87. zenon_intro zenon_H88. % 0.71/0.92 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H4b | zenon_intro zenon_H6 ]. % 0.71/0.92 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hb. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H4b. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e2) (e2)) = (e0)) = ((e1) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H4c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H2b. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H89 zenon_H88). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H84); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H8b). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.71/0.92 exact (zenon_H8d zenon_H8c). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H8a); [ zenon_intro zenon_H8f | zenon_intro zenon_H8e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H8f). zenon_intro zenon_H91. zenon_intro zenon_H90. % 0.71/0.92 apply zenon_H91. zenon_intro zenon_H92. % 0.71/0.92 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H5b | zenon_intro zenon_H8 ]. % 0.71/0.92 cut (((e3) = (e3)) = ((e0) = (e3))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hf. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H5b. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e2) (e2)) = (e0)) = ((e3) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H5c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H2b. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H93 zenon_H92). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H8e); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H95). zenon_intro zenon_H97. zenon_intro zenon_H96. % 0.71/0.92 apply zenon_H97. zenon_intro zenon_H98. % 0.71/0.92 elim (classic ((e4) = (e4))); [ zenon_intro zenon_H63 | zenon_intro zenon_H9 ]. % 0.71/0.92 cut (((e4) = (e4)) = ((e0) = (e4))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H11. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H63. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 cut (((e4) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e2) (e2)) = (e0)) = ((e4) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H64. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H2b. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e2) (e2)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H99 zenon_H98). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H94); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c. % 0.71/0.92 exact (zenon_H9c zenon_H31). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H9a); [ zenon_intro zenon_H9f | zenon_intro zenon_H9e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H9f). zenon_intro zenon_Ha1. zenon_intro zenon_Ha0. % 0.71/0.92 apply zenon_Ha1. zenon_intro zenon_Ha2. % 0.71/0.92 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H4b | zenon_intro zenon_H6 ]. % 0.71/0.92 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hb. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H4b. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e3) (e3)) = (e0)) = ((e1) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H4c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H37. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha3]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_Ha3 zenon_Ha2). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H9e); [ zenon_intro zenon_Ha5 | zenon_intro zenon_Ha4 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Ha5). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.71/0.92 apply zenon_Ha7. zenon_intro zenon_Ha8. % 0.71/0.92 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H53 | zenon_intro zenon_H7 ]. % 0.71/0.92 cut (((e2) = (e2)) = ((e0) = (e2))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hd. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H53. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e3) (e3)) = (e0)) = ((e2) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H54. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H37. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_Ha9 zenon_Ha8). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Ha4); [ zenon_intro zenon_Hab | zenon_intro zenon_Haa ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hab). zenon_intro zenon_Had. zenon_intro zenon_Hac. % 0.71/0.92 exact (zenon_Had zenon_Hac). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Haa); [ zenon_intro zenon_Haf | zenon_intro zenon_Hae ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Haf). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.71/0.92 apply zenon_Hb1. zenon_intro zenon_Hb2. % 0.71/0.92 elim (classic ((e4) = (e4))); [ zenon_intro zenon_H63 | zenon_intro zenon_H9 ]. % 0.71/0.92 cut (((e4) = (e4)) = ((e0) = (e4))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H11. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H63. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 cut (((e4) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e3) (e3)) = (e0)) = ((e4) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H64. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H37. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e3) (e3)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb3]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_Hb3 zenon_Hb2). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hae); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb4 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hb5). zenon_intro zenon_Hb7. zenon_intro zenon_Hb6. % 0.71/0.92 exact (zenon_Hb6 zenon_H3b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hb4); [ zenon_intro zenon_Hb9 | zenon_intro zenon_Hb8 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hb9). zenon_intro zenon_Hbb. zenon_intro zenon_Hba. % 0.71/0.92 apply zenon_Hbb. zenon_intro zenon_Hbc. % 0.71/0.92 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H4b | zenon_intro zenon_H6 ]. % 0.71/0.92 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hb. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H4b. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4c]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e4) (e4)) = (e0)) = ((e1) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H4c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H40. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e4) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hbd]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_Hbd zenon_Hbc). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hb8); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hbe ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hbf). zenon_intro zenon_Hc1. zenon_intro zenon_Hc0. % 0.71/0.92 apply zenon_Hc1. zenon_intro zenon_Hc2. % 0.71/0.92 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H53 | zenon_intro zenon_H7 ]. % 0.71/0.92 cut (((e2) = (e2)) = ((e0) = (e2))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hd. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H53. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H54]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e4) (e4)) = (e0)) = ((e2) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H54. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H40. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e4) (e4)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_Hc3 zenon_Hc2). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hbe); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hc5). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.71/0.92 apply zenon_Hc7. zenon_intro zenon_Hc8. % 0.71/0.92 elim (classic ((e3) = (e3))); [ zenon_intro zenon_H5b | zenon_intro zenon_H8 ]. % 0.71/0.92 cut (((e3) = (e3)) = ((e0) = (e3))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_Hf. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H5b. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5c]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((op (e4) (e4)) = (e0)) = ((e3) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H5c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H40. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e4) (e4)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_Hc9 zenon_Hc8). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hcb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcc. % 0.71/0.92 exact (zenon_Hcd zenon_Hcc). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hca); [ zenon_intro zenon_Hcf | zenon_intro zenon_Hce ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hcf). zenon_intro zenon_H44. zenon_intro zenon_Hd0. % 0.71/0.92 exact (zenon_H44 zenon_H13). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hce); [ zenon_intro zenon_Hd2 | zenon_intro zenon_Hd1 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hd2). zenon_intro zenon_H48. zenon_intro zenon_Hd3. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hd3). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4. % 0.71/0.92 exact (zenon_Hd5 zenon_H15). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hd7). zenon_intro zenon_H50. zenon_intro zenon_Hd8. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hd8). zenon_intro zenon_Hda. zenon_intro zenon_Hd9. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hd9). zenon_intro zenon_Hdc. zenon_intro zenon_Hdb. % 0.71/0.92 exact (zenon_Hdc zenon_H17). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hd6); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hde). zenon_intro zenon_H58. zenon_intro zenon_Hdf. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hdf). zenon_intro zenon_He1. zenon_intro zenon_He0. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_He0). zenon_intro zenon_He3. zenon_intro zenon_He2. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_He2). zenon_intro zenon_He5. zenon_intro zenon_He4. % 0.71/0.92 exact (zenon_He5 zenon_H19). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hdd); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_He7). zenon_intro zenon_H60. zenon_intro zenon_He8. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_He8). zenon_intro zenon_Hea. zenon_intro zenon_He9. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_He9). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Heb). zenon_intro zenon_Hee. zenon_intro zenon_Hed. % 0.71/0.92 exact (zenon_Hed zenon_H1b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_He6); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hef ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hf0). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hf1). zenon_intro zenon_H68. zenon_intro zenon_Hf3. % 0.71/0.92 exact (zenon_H68 zenon_H1d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hef); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf4 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hf5). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.71/0.92 exact (zenon_Hf7 zenon_H1f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hf9). zenon_intro zenon_Hfb. zenon_intro zenon_Hfa. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hfa). zenon_intro zenon_H70. zenon_intro zenon_Hfc. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hfc). zenon_intro zenon_Hfe. zenon_intro zenon_Hfd. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_H100. zenon_intro zenon_Hff. % 0.71/0.92 exact (zenon_H100 zenon_H21). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_Hf8); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H102). zenon_intro zenon_H104. zenon_intro zenon_H103. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H103). zenon_intro zenon_H76. zenon_intro zenon_H105. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H107. zenon_intro zenon_H106. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H106). zenon_intro zenon_H109. zenon_intro zenon_H108. % 0.71/0.92 exact (zenon_H108 zenon_H23). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H101); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H10b). zenon_intro zenon_H10d. zenon_intro zenon_H10c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H7c. zenon_intro zenon_H10e. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H10e). zenon_intro zenon_H110. zenon_intro zenon_H10f. % 0.71/0.92 exact (zenon_H110 zenon_H25). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H10a); [ zenon_intro zenon_H112 | zenon_intro zenon_H111 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H112). zenon_intro zenon_H114. zenon_intro zenon_H113. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H113). zenon_intro zenon_H116. zenon_intro zenon_H115. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H115). zenon_intro zenon_H82. zenon_intro zenon_H117. % 0.71/0.92 exact (zenon_H82 zenon_H27). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H111); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H119). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H11c). zenon_intro zenon_H86. zenon_intro zenon_H11e. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H11e). zenon_intro zenon_H120. zenon_intro zenon_H11f. % 0.71/0.92 exact (zenon_H11f zenon_H29). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H118); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123. % 0.71/0.92 exact (zenon_H124 zenon_H2b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H121); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H126). zenon_intro zenon_H128. zenon_intro zenon_H127. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 0.71/0.92 exact (zenon_H12a zenon_H2d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H125); [ zenon_intro zenon_H12c | zenon_intro zenon_H12b ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H12c). zenon_intro zenon_H12e. zenon_intro zenon_H12d. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H12d). zenon_intro zenon_H130. zenon_intro zenon_H12f. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_H96. zenon_intro zenon_H131. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H131). zenon_intro zenon_H133. zenon_intro zenon_H132. % 0.71/0.92 exact (zenon_H133 zenon_H2f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H12b); [ zenon_intro zenon_H135 | zenon_intro zenon_H134 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H135). zenon_intro zenon_H137. zenon_intro zenon_H136. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H138). zenon_intro zenon_H13b. zenon_intro zenon_H13a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H13a). zenon_intro zenon_H9c. zenon_intro zenon_H13c. % 0.71/0.92 exact (zenon_H9c zenon_H31). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H134); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H13e). zenon_intro zenon_H140. zenon_intro zenon_H13f. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H13f). zenon_intro zenon_H142. zenon_intro zenon_H141. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 0.71/0.92 exact (zenon_H144 zenon_H33). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H13d); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H146). zenon_intro zenon_H148. zenon_intro zenon_H147. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H149). zenon_intro zenon_H14c. zenon_intro zenon_H14b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H14b). zenon_intro zenon_Ha6. zenon_intro zenon_H14d. % 0.71/0.92 exact (zenon_H14d zenon_H35). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H145); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H14f). zenon_intro zenon_H151. zenon_intro zenon_H150. % 0.71/0.92 exact (zenon_H151 zenon_H37). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H14e); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H153). zenon_intro zenon_H155. zenon_intro zenon_H154. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H154). zenon_intro zenon_H157. zenon_intro zenon_H156. % 0.71/0.92 exact (zenon_H157 zenon_H39). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H152); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H159). zenon_intro zenon_H15b. zenon_intro zenon_H15a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H15a). zenon_intro zenon_H15d. zenon_intro zenon_H15c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H15c). zenon_intro zenon_H15f. zenon_intro zenon_H15e. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_Hb6. % 0.71/0.92 exact (zenon_Hb6 zenon_H3b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H158); [ zenon_intro zenon_H162 | zenon_intro zenon_H161 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H162). zenon_intro zenon_H164. zenon_intro zenon_H163. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H163). zenon_intro zenon_H166. zenon_intro zenon_H165. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H165). zenon_intro zenon_H168. zenon_intro zenon_H167. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H167). zenon_intro zenon_H169. zenon_intro zenon_Hba. % 0.71/0.92 exact (zenon_H169 zenon_H3d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H161); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H16b). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 0.71/0.92 exact (zenon_H16f zenon_H3f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H16a); [ zenon_intro zenon_H171 | zenon_intro zenon_H170 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H171). zenon_intro zenon_H173. zenon_intro zenon_H172. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H172). zenon_intro zenon_H175. zenon_intro zenon_H174. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H174). zenon_intro zenon_H177. zenon_intro zenon_H176. % 0.71/0.92 exact (zenon_H177 zenon_H41). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H170); [ zenon_intro zenon_H179 | zenon_intro zenon_H178 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H179). zenon_intro zenon_H17b. zenon_intro zenon_H17a. % 0.71/0.92 exact (zenon_H17b zenon_H40). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H178); [ zenon_intro zenon_H17d | zenon_intro zenon_H17c ]. % 0.71/0.92 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H17d. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H13. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H17e]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_H17f | zenon_intro zenon_H180 ]. % 0.71/0.92 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H17e. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H17f. % 0.71/0.92 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H180]. % 0.71/0.92 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H181]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply zenon_H180. apply refl_equal. % 0.71/0.92 apply zenon_H180. apply refl_equal. % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H17c); [ zenon_intro zenon_H183 | zenon_intro zenon_H182 ]. % 0.71/0.92 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H183. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H13. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H184]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_H185 | zenon_intro zenon_H186 ]. % 0.71/0.92 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H184. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H185. % 0.71/0.92 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 0.71/0.92 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H187]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.71/0.92 congruence. % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H186. apply refl_equal. % 0.71/0.92 apply zenon_H186. apply refl_equal. % 0.71/0.92 apply zenon_H4. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H182); [ zenon_intro zenon_H189 | zenon_intro zenon_H188 ]. % 0.71/0.92 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H189. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H15. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18a]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_H18b | zenon_intro zenon_H18c ]. % 0.71/0.92 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H18a. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H18b. % 0.71/0.92 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 0.71/0.92 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H18d]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply zenon_H18c. apply refl_equal. % 0.71/0.92 apply zenon_H18c. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H188); [ zenon_intro zenon_H18f | zenon_intro zenon_H18e ]. % 0.71/0.92 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H18f. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1d. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_H191 | zenon_intro zenon_H192 ]. % 0.71/0.92 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H190. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H191. % 0.71/0.92 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 0.71/0.92 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H193]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.71/0.92 congruence. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H192. apply refl_equal. % 0.71/0.92 apply zenon_H192. apply refl_equal. % 0.71/0.92 apply zenon_H6. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H18e); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.71/0.92 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H195. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H17. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_H197 | zenon_intro zenon_H198 ]. % 0.71/0.92 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H196. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H197. % 0.71/0.92 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H198]. % 0.71/0.92 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H199]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply zenon_H198. apply refl_equal. % 0.71/0.92 apply zenon_H198. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H194); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.71/0.92 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H19b. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H27. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_H19d | zenon_intro zenon_H19e ]. % 0.71/0.92 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H19c. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H19d. % 0.71/0.92 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 0.71/0.92 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H19f]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.71/0.92 congruence. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H19e. apply refl_equal. % 0.71/0.92 apply zenon_H19e. apply refl_equal. % 0.71/0.92 apply zenon_H7. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H19a); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a0 ]. % 0.71/0.92 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1a1. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H19. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a4 ]. % 0.71/0.92 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1a2. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1a3. % 0.71/0.92 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 0.71/0.92 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1a5]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply zenon_H1a4. apply refl_equal. % 0.71/0.92 apply zenon_H1a4. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a6 ]. % 0.71/0.92 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1a7. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H31. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1aa ]. % 0.71/0.92 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1a8. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1a9. % 0.71/0.92 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 0.71/0.92 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1ab]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.71/0.92 congruence. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H1aa. apply refl_equal. % 0.71/0.92 apply zenon_H1aa. apply refl_equal. % 0.71/0.92 apply zenon_H8. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1a6); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.71/0.92 cut (((op (e0) (e4)) = (e4)) = ((op (unit) (e4)) = (e4))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1ad. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1b. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 cut (((op (e0) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (unit) (e4)) = (op (unit) (e4)))); [ zenon_intro zenon_H1af | zenon_intro zenon_H1b0 ]. % 0.71/0.92 cut (((op (unit) (e4)) = (op (unit) (e4))) = ((op (e0) (e4)) = (op (unit) (e4)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1ae. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1af. % 0.71/0.92 cut (((op (unit) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 0.71/0.92 cut (((op (unit) (e4)) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1b1]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 congruence. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply zenon_H1b0. apply refl_equal. % 0.71/0.92 apply zenon_H1b0. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1ac); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ]. % 0.71/0.92 cut (((op (e4) (e0)) = (e4)) = ((op (e4) (unit)) = (e4))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1b3. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H3b. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 0.71/0.92 congruence. % 0.71/0.92 elim (classic ((op (e4) (unit)) = (op (e4) (unit)))); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b6 ]. % 0.71/0.92 cut (((op (e4) (unit)) = (op (e4) (unit))) = ((op (e4) (e0)) = (op (e4) (unit)))). % 0.71/0.92 intro zenon_D_pnotp. % 0.71/0.92 apply zenon_H1b4. % 0.71/0.92 rewrite <- zenon_D_pnotp. % 0.71/0.92 exact zenon_H1b5. % 0.71/0.92 cut (((op (e4) (unit)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 0.71/0.92 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b7]. % 0.71/0.92 congruence. % 0.71/0.92 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.71/0.92 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.71/0.92 congruence. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply zenon_H1b6. apply refl_equal. % 0.71/0.92 apply zenon_H1b6. apply refl_equal. % 0.71/0.92 apply zenon_H9. apply refl_equal. % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1b8 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1b9). zenon_intro zenon_H5. zenon_intro zenon_H1ba. % 0.71/0.92 exact (zenon_H5 ax3). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1b8); [ zenon_intro zenon_H1bc | zenon_intro zenon_H1bb ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1bc). zenon_intro zenon_H44. zenon_intro zenon_H1bd. % 0.71/0.92 exact (zenon_H44 zenon_H13). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1bb); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1bf). zenon_intro zenon_H44. zenon_intro zenon_H1c0. % 0.71/0.92 exact (zenon_H44 zenon_H13). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1be); [ zenon_intro zenon_H1c2 | zenon_intro zenon_H1c1 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1c2). zenon_intro zenon_H4d. zenon_intro zenon_H1c3. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1c3). zenon_intro zenon_Hd5. zenon_intro zenon_H1c4. % 0.71/0.92 exact (zenon_Hd5 zenon_H15). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c6 | zenon_intro zenon_H1c5 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1c6). zenon_intro zenon_H4d. zenon_intro zenon_H1c7. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1c7). zenon_intro zenon_H68. zenon_intro zenon_H1c8. % 0.71/0.92 exact (zenon_H68 zenon_H1d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1c5); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1ca). zenon_intro zenon_H55. zenon_intro zenon_H1cb. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1cb). zenon_intro zenon_H1cd. zenon_intro zenon_H1cc. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1cc). zenon_intro zenon_Hdc. zenon_intro zenon_H1ce. % 0.71/0.92 exact (zenon_Hdc zenon_H17). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1c9); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1cf ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1d0). zenon_intro zenon_H55. zenon_intro zenon_H1d1. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1d1). zenon_intro zenon_H1d3. zenon_intro zenon_H1d2. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1d2). zenon_intro zenon_H82. zenon_intro zenon_H1d4. % 0.71/0.92 exact (zenon_H82 zenon_H27). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1d6). zenon_intro zenon_H5d. zenon_intro zenon_H1d7. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1d7). zenon_intro zenon_H1d9. zenon_intro zenon_H1d8. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1d8). zenon_intro zenon_H1db. zenon_intro zenon_H1da. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_He5. zenon_intro zenon_Hee. % 0.71/0.92 exact (zenon_He5 zenon_H19). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1d5); [ zenon_intro zenon_H1dd | zenon_intro zenon_H1dc ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1dd). zenon_intro zenon_H5d. zenon_intro zenon_H1de. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1de). zenon_intro zenon_H1e0. zenon_intro zenon_H1df. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1df). zenon_intro zenon_H1e2. zenon_intro zenon_H1e1. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_H9c. zenon_intro zenon_H160. % 0.71/0.92 exact (zenon_H9c zenon_H31). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1dc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1e3 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1e4). zenon_intro zenon_H65. zenon_intro zenon_H1e5. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1e5). zenon_intro zenon_H1e7. zenon_intro zenon_H1e6. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1e6). zenon_intro zenon_H1e9. zenon_intro zenon_H1e8. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1e8). zenon_intro zenon_He4. zenon_intro zenon_Hed. % 0.71/0.92 exact (zenon_Hed zenon_H1b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1e3); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1ea ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1eb). zenon_intro zenon_H65. zenon_intro zenon_H1ec. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1ec). zenon_intro zenon_H1ee. zenon_intro zenon_H1ed. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1ed). zenon_intro zenon_H1f0. zenon_intro zenon_H1ef. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1ef). zenon_intro zenon_H13c. zenon_intro zenon_Hb6. % 0.71/0.92 exact (zenon_Hb6 zenon_H3b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1ea); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1f2). zenon_intro zenon_Hf2. zenon_intro zenon_H1f3. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1f3). zenon_intro zenon_Hf7. zenon_intro zenon_H1f4. % 0.71/0.92 exact (zenon_Hf7 zenon_H1f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1f6). zenon_intro zenon_H48. zenon_intro zenon_H1f7. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_Hf7. zenon_intro zenon_H1f8. % 0.71/0.92 exact (zenon_Hf7 zenon_H1f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1f5); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1fa). zenon_intro zenon_H68. zenon_intro zenon_H1fb. % 0.71/0.92 exact (zenon_H68 zenon_H1d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1f9); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fc ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H1fd). zenon_intro zenon_Hd5. zenon_intro zenon_H1fe. % 0.71/0.92 exact (zenon_Hd5 zenon_H15). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1fc); [ zenon_intro zenon_H200 | zenon_intro zenon_H1ff ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H200). zenon_intro zenon_H1d3. zenon_intro zenon_H201. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H201). zenon_intro zenon_H73. zenon_intro zenon_H202. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H202). zenon_intro zenon_Hfe. zenon_intro zenon_H203. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H203). zenon_intro zenon_H107. zenon_intro zenon_H110. % 0.71/0.92 exact (zenon_H110 zenon_H25). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H1ff); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H205). zenon_intro zenon_H1cd. zenon_intro zenon_H206. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H206). zenon_intro zenon_H73. zenon_intro zenon_H207. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H207). zenon_intro zenon_H86. zenon_intro zenon_H208. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H208). zenon_intro zenon_H144. zenon_intro zenon_H168. % 0.71/0.92 exact (zenon_H144 zenon_H33). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H204); [ zenon_intro zenon_H20a | zenon_intro zenon_H209 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H20a). zenon_intro zenon_H1e0. zenon_intro zenon_H20b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H20b). zenon_intro zenon_H79. zenon_intro zenon_H20c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H20c). zenon_intro zenon_H100. zenon_intro zenon_H20d. % 0.71/0.92 exact (zenon_H100 zenon_H21). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H209); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H20f). zenon_intro zenon_H1d9. zenon_intro zenon_H210. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H210). zenon_intro zenon_H79. zenon_intro zenon_H211. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H211). zenon_intro zenon_H120. zenon_intro zenon_H212. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H212). zenon_intro zenon_Ha0. zenon_intro zenon_H169. % 0.71/0.92 exact (zenon_H169 zenon_H3d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H20e); [ zenon_intro zenon_H214 | zenon_intro zenon_H213 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H214). zenon_intro zenon_H1ee. zenon_intro zenon_H215. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H215). zenon_intro zenon_H7f. zenon_intro zenon_H216. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H216). zenon_intro zenon_Hff. zenon_intro zenon_H217. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H217). zenon_intro zenon_H108. zenon_intro zenon_H218. % 0.71/0.92 exact (zenon_H108 zenon_H23). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H213); [ zenon_intro zenon_H21a | zenon_intro zenon_H219 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H21a). zenon_intro zenon_H1e7. zenon_intro zenon_H21b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H21b). zenon_intro zenon_H7f. zenon_intro zenon_H21c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H21c). zenon_intro zenon_H11f. zenon_intro zenon_H21d. % 0.71/0.92 exact (zenon_H11f zenon_H29). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H219); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H114. zenon_intro zenon_H220. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_H11b. zenon_intro zenon_H221. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H221). zenon_intro zenon_H124. zenon_intro zenon_H222. % 0.71/0.92 exact (zenon_H124 zenon_H2b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H21e); [ zenon_intro zenon_H224 | zenon_intro zenon_H223 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H224). zenon_intro zenon_H50. zenon_intro zenon_H225. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H225). zenon_intro zenon_Hfb. zenon_intro zenon_H226. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H226). zenon_intro zenon_H124. zenon_intro zenon_H227. % 0.71/0.92 exact (zenon_H124 zenon_H2b). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H223); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H229). zenon_intro zenon_H116. zenon_intro zenon_H22a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H22a). zenon_intro zenon_H11d. zenon_intro zenon_H22b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H22b). zenon_intro zenon_H89. zenon_intro zenon_H22c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H22c). zenon_intro zenon_H12a. zenon_intro zenon_H130. % 0.71/0.92 exact (zenon_H12a zenon_H2d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H228); [ zenon_intro zenon_H22e | zenon_intro zenon_H22d ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H22e). zenon_intro zenon_Hda. zenon_intro zenon_H22f. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H22f). zenon_intro zenon_H70. zenon_intro zenon_H230. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H230). zenon_intro zenon_H89. zenon_intro zenon_H231. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H231). zenon_intro zenon_H14a. zenon_intro zenon_H16f. % 0.71/0.92 exact (zenon_H16f zenon_H3f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H22d); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H233). zenon_intro zenon_H82. zenon_intro zenon_H234. % 0.71/0.92 exact (zenon_H82 zenon_H27). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H232); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H236). zenon_intro zenon_Hdc. zenon_intro zenon_H237. % 0.71/0.92 exact (zenon_Hdc zenon_H17). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H235); [ zenon_intro zenon_H239 | zenon_intro zenon_H238 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H239). zenon_intro zenon_H1e2. zenon_intro zenon_H23a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H23a). zenon_intro zenon_H120. zenon_intro zenon_H23b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H23b). zenon_intro zenon_H93. zenon_intro zenon_H23c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H23c). zenon_intro zenon_H23d. zenon_intro zenon_H133. % 0.71/0.92 exact (zenon_H133 zenon_H2f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H238); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H23f). zenon_intro zenon_H1db. zenon_intro zenon_H240. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H240). zenon_intro zenon_H100. zenon_intro zenon_H241. % 0.71/0.92 exact (zenon_H100 zenon_H21). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H243). zenon_intro zenon_H1f0. zenon_intro zenon_H244. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H244). zenon_intro zenon_H11f. zenon_intro zenon_H245. % 0.71/0.92 exact (zenon_H11f zenon_H29). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H242); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H247). zenon_intro zenon_H1e9. zenon_intro zenon_H248. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H248). zenon_intro zenon_Hff. zenon_intro zenon_H249. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H249). zenon_intro zenon_H99. zenon_intro zenon_H24a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H24a). zenon_intro zenon_H14d. zenon_intro zenon_Hc0. % 0.71/0.92 exact (zenon_H14d zenon_H35). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H246); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H24c). zenon_intro zenon_H137. zenon_intro zenon_H24d. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H24d). zenon_intro zenon_H140. zenon_intro zenon_H24e. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H24e). zenon_intro zenon_H148. zenon_intro zenon_H24f. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H24f). zenon_intro zenon_H151. zenon_intro zenon_H155. % 0.71/0.92 exact (zenon_H151 zenon_H37). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H24b); [ zenon_intro zenon_H251 | zenon_intro zenon_H250 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H251). zenon_intro zenon_H58. zenon_intro zenon_H252. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H252). zenon_intro zenon_H104. zenon_intro zenon_H253. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H253). zenon_intro zenon_H128. zenon_intro zenon_H254. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H254). zenon_intro zenon_H151. zenon_intro zenon_H173. % 0.71/0.92 exact (zenon_H151 zenon_H37). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H250); [ zenon_intro zenon_H256 | zenon_intro zenon_H255 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H256). zenon_intro zenon_H139. zenon_intro zenon_H257. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H257). zenon_intro zenon_H142. zenon_intro zenon_H258. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H258). zenon_intro zenon_H14a. zenon_intro zenon_H259. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H259). zenon_intro zenon_Ha3. zenon_intro zenon_H157. % 0.71/0.92 exact (zenon_H157 zenon_H39). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H255); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H25b). zenon_intro zenon_He1. zenon_intro zenon_H25c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H25c). zenon_intro zenon_H76. zenon_intro zenon_H25d. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H25d). zenon_intro zenon_H12a. zenon_intro zenon_H25e. % 0.71/0.92 exact (zenon_H12a zenon_H2d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H25a); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H260). zenon_intro zenon_H13b. zenon_intro zenon_H261. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H261). zenon_intro zenon_H144. zenon_intro zenon_H262. % 0.71/0.92 exact (zenon_H144 zenon_H33). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H25f); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H264). zenon_intro zenon_He3. zenon_intro zenon_H265. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H265). zenon_intro zenon_H107. zenon_intro zenon_H266. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H266). zenon_intro zenon_H90. zenon_intro zenon_H267. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H267). zenon_intro zenon_Ha9. zenon_intro zenon_H177. % 0.71/0.92 exact (zenon_H177 zenon_H41). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H263); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H269). zenon_intro zenon_H9c. zenon_intro zenon_H26a. % 0.71/0.92 exact (zenon_H9c zenon_H31). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H268); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H26c). zenon_intro zenon_He5. zenon_intro zenon_H26d. % 0.71/0.92 exact (zenon_He5 zenon_H19). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H26b); [ zenon_intro zenon_H26f | zenon_intro zenon_H26e ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H26f). zenon_intro zenon_H13c. zenon_intro zenon_H270. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H270). zenon_intro zenon_H272. zenon_intro zenon_H271. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H271). zenon_intro zenon_H14d. zenon_intro zenon_H273. % 0.71/0.92 exact (zenon_H14d zenon_H35). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H26e); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H275). zenon_intro zenon_He4. zenon_intro zenon_H276. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H276). zenon_intro zenon_H108. zenon_intro zenon_H277. % 0.71/0.92 exact (zenon_H108 zenon_H23). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H274); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H279). zenon_intro zenon_H15b. zenon_intro zenon_H27a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H27a). zenon_intro zenon_H164. zenon_intro zenon_H27b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H27b). zenon_intro zenon_H16d. zenon_intro zenon_H27c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H27c). zenon_intro zenon_H173. zenon_intro zenon_H17b. % 0.71/0.92 exact (zenon_H17b zenon_H40). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H278); [ zenon_intro zenon_H27e | zenon_intro zenon_H27d ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H27e). zenon_intro zenon_H60. zenon_intro zenon_H27f. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H27f). zenon_intro zenon_H10d. zenon_intro zenon_H280. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H280). zenon_intro zenon_H12e. zenon_intro zenon_H281. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H281). zenon_intro zenon_H155. zenon_intro zenon_H17b. % 0.71/0.92 exact (zenon_H17b zenon_H40). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H27d); [ zenon_intro zenon_H283 | zenon_intro zenon_H282 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H283). zenon_intro zenon_H15d. zenon_intro zenon_H284. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H284). zenon_intro zenon_H166. zenon_intro zenon_H285. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H285). zenon_intro zenon_H16f. zenon_intro zenon_H286. % 0.71/0.92 exact (zenon_H16f zenon_H3f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H282); [ zenon_intro zenon_H288 | zenon_intro zenon_H287 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H288). zenon_intro zenon_Hea. zenon_intro zenon_H289. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H289). zenon_intro zenon_H7c. zenon_intro zenon_H28a. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H28a). zenon_intro zenon_H130. zenon_intro zenon_H28b. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H28b). zenon_intro zenon_H157. zenon_intro zenon_Hbd. % 0.71/0.92 exact (zenon_H157 zenon_H39). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H287); [ zenon_intro zenon_H28d | zenon_intro zenon_H28c ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H28d). zenon_intro zenon_H15f. zenon_intro zenon_H28e. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H28e). zenon_intro zenon_H168. zenon_intro zenon_H28f. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H28f). zenon_intro zenon_H291. zenon_intro zenon_H290. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H290). zenon_intro zenon_H177. zenon_intro zenon_Hc3. % 0.71/0.92 exact (zenon_H177 zenon_H41). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H28c); [ zenon_intro zenon_H293 | zenon_intro zenon_H292 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H293). zenon_intro zenon_Hec. zenon_intro zenon_H294. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H294). zenon_intro zenon_H110. zenon_intro zenon_H295. % 0.71/0.92 exact (zenon_H110 zenon_H25). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H292); [ zenon_intro zenon_H297 | zenon_intro zenon_H296 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H297). zenon_intro zenon_H160. zenon_intro zenon_H298. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H298). zenon_intro zenon_H169. zenon_intro zenon_H299. % 0.71/0.92 exact (zenon_H169 zenon_H3d). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H296); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H29b). zenon_intro zenon_Hee. zenon_intro zenon_H29c. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H29c). zenon_intro zenon_H29e. zenon_intro zenon_H29d. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H29d). zenon_intro zenon_H133. zenon_intro zenon_H29f. % 0.71/0.92 exact (zenon_H133 zenon_H2f). % 0.71/0.92 apply (zenon_notand_s _ _ zenon_H29a); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a0 ]. % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H2a1). zenon_intro zenon_Hb6. zenon_intro zenon_H2a2. % 0.71/0.92 exact (zenon_Hb6 zenon_H3b). % 0.71/0.92 apply (zenon_notor_s _ _ zenon_H2a0). zenon_intro zenon_Hed. zenon_intro zenon_H2a3. % 0.71/0.92 exact (zenon_Hed zenon_H1b). % 0.71/0.92 Qed. % 0.71/0.92 % SZS output end Proof % 0.71/0.92 (* END-PROOF *) % 0.71/0.92 nodes searched: 2197 % 0.71/0.92 max branch formulas: 146 % 0.71/0.92 proof nodes created: 282 % 0.71/0.92 formulas created: 8353 % 0.71/0.92 %------------------------------------------------------------------------------