%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG092+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n018.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 1.16s 1.37s % Output : Proof 1.16s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG092+1 : TPTP v8.1.0. Released v2.7.0. % 0.13/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n018.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 8 23:06:52 EDT 2022 % 0.13/0.34 % CPUTime : % 1.16/1.37 (* PROOF-FOUND *) % 1.16/1.37 % SZS status Theorem % 1.16/1.37 (* BEGIN-PROOF *) % 1.16/1.37 % SZS output start Proof % 1.16/1.37 Theorem co1 : ((((~((op (e0) (op (e0) (e0))) = (e0)))/\((op (e0) (op (e0) (e0))) = (e0)))\/(((~((op (e1) (op (e1) (e0))) = (e0)))/\((op (e0) (op (e1) (e0))) = (e1)))\/(((~((op (e2) (op (e2) (e0))) = (e0)))/\((op (e0) (op (e2) (e0))) = (e2)))\/(((~((op (e3) (op (e3) (e0))) = (e0)))/\((op (e0) (op (e3) (e0))) = (e3)))\/((~((op (e4) (op (e4) (e0))) = (e0)))/\((op (e0) (op (e4) (e0))) = (e4)))))))/\((((~((op (e0) (op (e0) (e1))) = (e1)))/\((op (e1) (op (e0) (e1))) = (e0)))\/(((~((op (e1) (op (e1) (e1))) = (e1)))/\((op (e1) (op (e1) (e1))) = (e1)))\/(((~((op (e2) (op (e2) (e1))) = (e1)))/\((op (e1) (op (e2) (e1))) = (e2)))\/(((~((op (e3) (op (e3) (e1))) = (e1)))/\((op (e1) (op (e3) (e1))) = (e3)))\/((~((op (e4) (op (e4) (e1))) = (e1)))/\((op (e1) (op (e4) (e1))) = (e4)))))))/\((((~((op (e0) (op (e0) (e2))) = (e2)))/\((op (e2) (op (e0) (e2))) = (e0)))\/(((~((op (e1) (op (e1) (e2))) = (e2)))/\((op (e2) (op (e1) (e2))) = (e1)))\/(((~((op (e2) (op (e2) (e2))) = (e2)))/\((op (e2) (op (e2) (e2))) = (e2)))\/(((~((op (e3) (op (e3) (e2))) = (e2)))/\((op (e2) (op (e3) (e2))) = (e3)))\/((~((op (e4) (op (e4) (e2))) = (e2)))/\((op (e2) (op (e4) (e2))) = (e4)))))))/\((((~((op (e0) (op (e0) (e3))) = (e3)))/\((op (e3) (op (e0) (e3))) = (e0)))\/(((~((op (e1) (op (e1) (e3))) = (e3)))/\((op (e3) (op (e1) (e3))) = (e1)))\/(((~((op (e2) (op (e2) (e3))) = (e3)))/\((op (e3) (op (e2) (e3))) = (e2)))\/(((~((op (e3) (op (e3) (e3))) = (e3)))/\((op (e3) (op (e3) (e3))) = (e3)))\/((~((op (e4) (op (e4) (e3))) = (e3)))/\((op (e3) (op (e4) (e3))) = (e4)))))))/\((((~((op (e0) (op (e0) (e4))) = (e4)))/\((op (e4) (op (e0) (e4))) = (e0)))\/(((~((op (e1) (op (e1) (e4))) = (e4)))/\((op (e4) (op (e1) (e4))) = (e1)))\/(((~((op (e2) (op (e2) (e4))) = (e4)))/\((op (e4) (op (e2) (e4))) = (e2)))\/(((~((op (e3) (op (e3) (e4))) = (e4)))/\((op (e4) (op (e3) (e4))) = (e3)))\/((~((op (e4) (op (e4) (e4))) = (e4)))/\((op (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)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 1.16/1.37 Proof. % 1.16/1.37 assert (zenon_L1_ : (~((e3) = (e3))) -> False). % 1.16/1.37 do 0 intro. intros zenon_H4. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 (* end of lemma zenon_L1_ *) % 1.16/1.37 assert (zenon_L2_ : (~((e0) = (e0))) -> False). % 1.16/1.37 do 0 intro. intros zenon_H5. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 (* end of lemma zenon_L2_ *) % 1.16/1.37 assert (zenon_L3_ : (~((e4) = (e4))) -> False). % 1.16/1.37 do 0 intro. intros zenon_H6. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 (* end of lemma zenon_L3_ *) % 1.16/1.37 assert (zenon_L4_ : (~((e1) = (e1))) -> False). % 1.16/1.37 do 0 intro. intros zenon_H7. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 (* end of lemma zenon_L4_ *) % 1.16/1.37 assert (zenon_L5_ : (~((e2) = (e2))) -> False). % 1.16/1.37 do 0 intro. intros zenon_H8. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 (* end of lemma zenon_L5_ *) % 1.16/1.37 assert (zenon_L6_ : (~((unit) = (e0))) -> False). % 1.16/1.37 do 0 intro. intros zenon_H9. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 (* end of lemma zenon_L6_ *) % 1.16/1.37 apply NNPP. intro zenon_G. % 1.16/1.37 apply (zenon_and_s _ _ ax1). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 1.16/1.37 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 1.16/1.37 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 1.16/1.37 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 1.16/1.37 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 1.16/1.37 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H4d | zenon_intro zenon_H4c ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H4d). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H52). zenon_intro zenon_H55. zenon_intro zenon_H54. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H55); [ zenon_intro zenon_H57 | zenon_intro zenon_H56 ]. % 1.16/1.37 apply zenon_H57. zenon_intro zenon_H58. % 1.16/1.37 cut (((op (e3) (e3)) = (e4)) = ((e0) = (e4))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H11. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H41. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((e0) = (e0))); [ zenon_intro zenon_H5a | zenon_intro zenon_H5 ]. % 1.16/1.37 cut (((e0) = (e0)) = ((op (e3) (e3)) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H59. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H5a. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((e0) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ]. % 1.16/1.37 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((e0) = (op (e3) (e3)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H5b. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H5c. % 1.16/1.37 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 1.16/1.37 cut (((op (e3) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H59]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (op (e3) (e0))) = (e0)) = ((op (e3) (e3)) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H59. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H58. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((op (e3) (op (e3) (e0))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5e]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (e3)) = (op (e3) (e3)))); [ zenon_intro zenon_H5c | zenon_intro zenon_H5d ]. % 1.16/1.37 cut (((op (e3) (e3)) = (op (e3) (e3))) = ((op (e3) (op (e3) (e0))) = (op (e3) (e3)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H5e. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H5c. % 1.16/1.37 cut (((op (e3) (e3)) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H5d]. % 1.16/1.37 cut (((op (e3) (e3)) = (op (e3) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H5f]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e3) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_H60. apply sym_equal. exact zenon_H3b. % 1.16/1.37 apply zenon_H5d. apply refl_equal. % 1.16/1.37 apply zenon_H5d. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H5d. apply refl_equal. % 1.16/1.37 apply zenon_H5d. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 cut (((op (e0) (e3)) = (e3)) = ((op (e0) (op (e3) (e0))) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H56. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H23. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((op (e0) (e3)) = (op (e0) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e0) (op (e3) (e0))) = (op (e0) (op (e3) (e0))))); [ zenon_intro zenon_H62 | zenon_intro zenon_H63 ]. % 1.16/1.37 cut (((op (e0) (op (e3) (e0))) = (op (e0) (op (e3) (e0)))) = ((op (e0) (e3)) = (op (e0) (op (e3) (e0))))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H61. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H62. % 1.16/1.37 cut (((op (e0) (op (e3) (e0))) = (op (e0) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H63]. % 1.16/1.37 cut (((op (e0) (op (e3) (e0))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H64]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 exact (zenon_H65 zenon_H3b). % 1.16/1.37 apply zenon_H63. apply refl_equal. % 1.16/1.37 apply zenon_H63. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H4c); [ zenon_intro zenon_H67 | zenon_intro zenon_H66 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H67). zenon_intro zenon_H69. zenon_intro zenon_H68. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H68). zenon_intro zenon_H6b. zenon_intro zenon_H6a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H6a). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H6f); [ zenon_intro zenon_H71 | zenon_intro zenon_H70 ]. % 1.16/1.37 apply zenon_H71. zenon_intro zenon_H72. % 1.16/1.37 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H73 | zenon_intro zenon_H7 ]. % 1.16/1.37 cut (((e1) = (e1)) = ((e0) = (e1))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hb. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H73. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H74]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (e2)) = (e0)) = ((e1) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H74. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H3f. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H73 | zenon_intro zenon_H7 ]. % 1.16/1.37 cut (((e1) = (e1)) = ((op (e3) (e2)) = (e1))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H75. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H73. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((e1) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H76]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H77 | zenon_intro zenon_H78 ]. % 1.16/1.37 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((e1) = (op (e3) (e2)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H76. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H77. % 1.16/1.37 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 1.16/1.37 cut (((op (e3) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H75]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (op (e3) (e1))) = (e1)) = ((op (e3) (e2)) = (e1))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H75. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H72. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((op (e3) (op (e3) (e1))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H79]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (e2)) = (op (e3) (e2)))); [ zenon_intro zenon_H77 | zenon_intro zenon_H78 ]. % 1.16/1.37 cut (((op (e3) (e2)) = (op (e3) (e2))) = ((op (e3) (op (e3) (e1))) = (op (e3) (e2)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H79. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H77. % 1.16/1.37 cut (((op (e3) (e2)) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 1.16/1.37 cut (((op (e3) (e2)) = (op (e3) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7a]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e2) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_H7b. apply sym_equal. exact zenon_H3d. % 1.16/1.37 apply zenon_H78. apply refl_equal. % 1.16/1.37 apply zenon_H78. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply zenon_H78. apply refl_equal. % 1.16/1.37 apply zenon_H78. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 cut (((op (e1) (e2)) = (e3)) = ((op (e1) (op (e3) (e1))) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H70. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H2b. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((op (e1) (e2)) = (op (e1) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7c]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e1) (op (e3) (e1))) = (op (e1) (op (e3) (e1))))); [ zenon_intro zenon_H7d | zenon_intro zenon_H7e ]. % 1.16/1.37 cut (((op (e1) (op (e3) (e1))) = (op (e1) (op (e3) (e1)))) = ((op (e1) (e2)) = (op (e1) (op (e3) (e1))))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H7c. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H7d. % 1.16/1.37 cut (((op (e1) (op (e3) (e1))) = (op (e1) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H7e]. % 1.16/1.37 cut (((op (e1) (op (e3) (e1))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H80]. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 exact (zenon_H80 zenon_H3d). % 1.16/1.37 apply zenon_H7e. apply refl_equal. % 1.16/1.37 apply zenon_H7e. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H66); [ zenon_intro zenon_H82 | zenon_intro zenon_H81 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H84. zenon_intro zenon_H83. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H83). zenon_intro zenon_H86. zenon_intro zenon_H85. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 1.16/1.37 apply zenon_H88. zenon_intro zenon_H89. % 1.16/1.37 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8 ]. % 1.16/1.37 cut (((e2) = (e2)) = ((e0) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hd. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H8a. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((e2) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H8b]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e1) (e3)) = (e0)) = ((e2) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H8b. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H2d. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H8a | zenon_intro zenon_H8 ]. % 1.16/1.37 cut (((e2) = (e2)) = ((op (e1) (e3)) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H8c. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H8a. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((e2) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H8d]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 1.16/1.37 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((e2) = (op (e1) (e3)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H8d. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H8e. % 1.16/1.37 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 1.16/1.37 cut (((op (e1) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8c]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e1) (op (e1) (e2))) = (e2)) = ((op (e1) (e3)) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H8c. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H89. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((op (e1) (op (e1) (e2))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H90]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e1) (e3)) = (op (e1) (e3)))); [ zenon_intro zenon_H8e | zenon_intro zenon_H8f ]. % 1.16/1.37 cut (((op (e1) (e3)) = (op (e1) (e3))) = ((op (e1) (op (e1) (e2))) = (op (e1) (e3)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H90. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H8e. % 1.16/1.37 cut (((op (e1) (e3)) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 1.16/1.37 cut (((op (e1) (e3)) = (op (e1) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H91]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e3) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H92]. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply zenon_H92. apply sym_equal. exact zenon_H2b. % 1.16/1.37 apply zenon_H8f. apply refl_equal. % 1.16/1.37 apply zenon_H8f. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_H8f. apply refl_equal. % 1.16/1.37 apply zenon_H8f. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 cut (((op (e2) (e3)) = (e1)) = ((op (e2) (op (e1) (e2))) = (e1))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H87. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H37. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((op (e2) (e3)) = (op (e2) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e2) (op (e1) (e2))) = (op (e2) (op (e1) (e2))))); [ zenon_intro zenon_H94 | zenon_intro zenon_H95 ]. % 1.16/1.37 cut (((op (e2) (op (e1) (e2))) = (op (e2) (op (e1) (e2)))) = ((op (e2) (e3)) = (op (e2) (op (e1) (e2))))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H93. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H94. % 1.16/1.37 cut (((op (e2) (op (e1) (e2))) = (op (e2) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 1.16/1.37 cut (((op (e2) (op (e1) (e2))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H96]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e1) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H97]. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 exact (zenon_H97 zenon_H2b). % 1.16/1.37 apply zenon_H95. apply refl_equal. % 1.16/1.37 apply zenon_H95. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H81); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9b. zenon_intro zenon_H9a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H9a). zenon_intro zenon_H9d. zenon_intro zenon_H9c. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H9c). zenon_intro zenon_H9f. zenon_intro zenon_H9e. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H9f); [ zenon_intro zenon_Ha1 | zenon_intro zenon_Ha0 ]. % 1.16/1.37 apply zenon_Ha1. zenon_intro zenon_Ha2. % 1.16/1.37 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H4 ]. % 1.16/1.37 cut (((e3) = (e3)) = ((e0) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hf. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Ha3. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((e3) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Ha4]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e2) (e1)) = (e0)) = ((e3) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Ha4. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H33. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((e3) = (e3))); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H4 ]. % 1.16/1.37 cut (((e3) = (e3)) = ((op (e2) (e1)) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Ha5. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Ha3. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((e3) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha6]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 1.16/1.37 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((e3) = (op (e2) (e1)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Ha6. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Ha7. % 1.16/1.37 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 1.16/1.37 cut (((op (e2) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha5]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e2) (op (e2) (e3))) = (e3)) = ((op (e2) (e1)) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Ha5. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Ha2. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((op (e2) (op (e2) (e3))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha9]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e2) (e1)) = (op (e2) (e1)))); [ zenon_intro zenon_Ha7 | zenon_intro zenon_Ha8 ]. % 1.16/1.37 cut (((op (e2) (e1)) = (op (e2) (e1))) = ((op (e2) (op (e2) (e3))) = (op (e2) (e1)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Ha9. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Ha7. % 1.16/1.37 cut (((op (e2) (e1)) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Ha8]. % 1.16/1.37 cut (((op (e2) (e1)) = (op (e2) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Haa]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e1) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_Hab. apply sym_equal. exact zenon_H37. % 1.16/1.37 apply zenon_Ha8. apply refl_equal. % 1.16/1.37 apply zenon_Ha8. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_Ha8. apply refl_equal. % 1.16/1.37 apply zenon_Ha8. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 cut (((op (e3) (e1)) = (e2)) = ((op (e3) (op (e2) (e3))) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Ha0. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H3d. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((op (e3) (e1)) = (op (e3) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Hac]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (op (e2) (e3))) = (op (e3) (op (e2) (e3))))); [ zenon_intro zenon_Had | zenon_intro zenon_Hae ]. % 1.16/1.37 cut (((op (e3) (op (e2) (e3))) = (op (e3) (op (e2) (e3)))) = ((op (e3) (e1)) = (op (e3) (op (e2) (e3))))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hac. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Had. % 1.16/1.37 cut (((op (e3) (op (e2) (e3))) = (op (e3) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_Hae]. % 1.16/1.37 cut (((op (e3) (op (e2) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Haf]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb0]. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 exact (zenon_Hb0 zenon_H37). % 1.16/1.37 apply zenon_Hae. apply refl_equal. % 1.16/1.37 apply zenon_Hae. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H98); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb4. zenon_intro zenon_Hb3. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hb3). zenon_intro zenon_Hb6. zenon_intro zenon_Hb5. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hb5). zenon_intro zenon_Hb8. zenon_intro zenon_Hb7. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hb7). zenon_intro zenon_Hba. zenon_intro zenon_Hb9. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hba); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 1.16/1.37 apply zenon_Hbc. zenon_intro zenon_Hbd. % 1.16/1.37 elim (classic ((e4) = (e4))); [ zenon_intro zenon_Hbe | zenon_intro zenon_H6 ]. % 1.16/1.37 cut (((e4) = (e4)) = ((e2) = (e4))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1b. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Hbe. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((e4) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hbf]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (e1)) = (e2)) = ((e4) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hbf. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H3d. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((op (e3) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((e4) = (e4))); [ zenon_intro zenon_Hbe | zenon_intro zenon_H6 ]. % 1.16/1.37 cut (((e4) = (e4)) = ((op (e3) (e1)) = (e4))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hc0. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Hbe. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((e4) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc1]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc3 ]. % 1.16/1.37 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((e4) = (op (e3) (e1)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hc1. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Hc2. % 1.16/1.37 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 1.16/1.37 cut (((op (e3) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hc0]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (op (e3) (e4))) = (e4)) = ((op (e3) (e1)) = (e4))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hc0. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Hbd. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((op (e3) (op (e3) (e4))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (e1)) = (op (e3) (e1)))); [ zenon_intro zenon_Hc2 | zenon_intro zenon_Hc3 ]. % 1.16/1.37 cut (((op (e3) (e1)) = (op (e3) (e1))) = ((op (e3) (op (e3) (e4))) = (op (e3) (e1)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hc4. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Hc2. % 1.16/1.37 cut (((op (e3) (e1)) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hc3]. % 1.16/1.37 cut (((op (e3) (e1)) = (op (e3) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_Hc5]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e1) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_Hc6]. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_Hc6. apply sym_equal. exact zenon_H43. % 1.16/1.37 apply zenon_Hc3. apply refl_equal. % 1.16/1.37 apply zenon_Hc3. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply zenon_Hc3. apply refl_equal. % 1.16/1.37 apply zenon_Hc3. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 cut (((op (e4) (e1)) = (e3)) = ((op (e4) (op (e3) (e4))) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hbb. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H47. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((op (e4) (e1)) = (op (e4) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_Hc7]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e4) (op (e3) (e4))) = (op (e4) (op (e3) (e4))))); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc9 ]. % 1.16/1.37 cut (((op (e4) (op (e3) (e4))) = (op (e4) (op (e3) (e4)))) = ((op (e4) (e1)) = (op (e4) (op (e3) (e4))))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_Hc7. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_Hc8. % 1.16/1.37 cut (((op (e4) (op (e3) (e4))) = (op (e4) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 1.16/1.37 cut (((op (e4) (op (e3) (e4))) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_Hca]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hcb]. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 exact (zenon_Hcb zenon_H43). % 1.16/1.37 apply zenon_Hc9. apply refl_equal. % 1.16/1.37 apply zenon_Hc9. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hb1); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hcc ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hcd). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 1.16/1.37 exact (zenon_Hcf zenon_H1d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hcc); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hd2). zenon_intro zenon_Hd5. zenon_intro zenon_Hd4. % 1.16/1.37 exact (zenon_Hd5 zenon_H1f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hd7). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hd8). zenon_intro zenon_Hdb. zenon_intro zenon_Hda. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hda). zenon_intro zenon_Hdd. zenon_intro zenon_Hdc. % 1.16/1.37 exact (zenon_Hdd zenon_H21). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hd6); [ zenon_intro zenon_Hdf | zenon_intro zenon_Hde ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hdf). zenon_intro zenon_He1. zenon_intro zenon_He0. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_He0). zenon_intro zenon_He3. zenon_intro zenon_He2. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_He2). zenon_intro zenon_He5. zenon_intro zenon_He4. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_He4). zenon_intro zenon_He7. zenon_intro zenon_He6. % 1.16/1.37 exact (zenon_He7 zenon_H23). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hde); [ zenon_intro zenon_He9 | zenon_intro zenon_He8 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_He9). zenon_intro zenon_Heb. zenon_intro zenon_Hea. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hea). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 1.16/1.37 exact (zenon_Hf0 zenon_H25). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_He8); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf2 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hf3). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hf4). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 1.16/1.37 exact (zenon_Hf7 zenon_H27). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hf2); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hf9). zenon_intro zenon_Hfb. zenon_intro zenon_Hfa. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hfa). zenon_intro zenon_Hfd. zenon_intro zenon_Hfc. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hfc). zenon_intro zenon_Hff. zenon_intro zenon_Hfe. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_Hfe). zenon_intro zenon_H101. zenon_intro zenon_H100. % 1.16/1.37 exact (zenon_H100 zenon_H29). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_Hf8); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H103). zenon_intro zenon_H105. zenon_intro zenon_H104. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H104). zenon_intro zenon_H107. zenon_intro zenon_H106. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H106). zenon_intro zenon_H109. zenon_intro zenon_H108. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H108). zenon_intro zenon_H97. zenon_intro zenon_H10a. % 1.16/1.37 exact (zenon_H97 zenon_H2b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H102); [ zenon_intro zenon_H10c | zenon_intro zenon_H10b ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H10c). zenon_intro zenon_H10e. zenon_intro zenon_H10d. % 1.16/1.37 exact (zenon_H10e zenon_H2d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H10b); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H110). zenon_intro zenon_H112. zenon_intro zenon_H111. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H111). zenon_intro zenon_H114. zenon_intro zenon_H113. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H113). zenon_intro zenon_H116. zenon_intro zenon_H115. % 1.16/1.37 exact (zenon_H116 zenon_H2f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H10f); [ zenon_intro zenon_H118 | zenon_intro zenon_H117 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H118). zenon_intro zenon_H11a. zenon_intro zenon_H119. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H119). zenon_intro zenon_H11c. zenon_intro zenon_H11b. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H11b). zenon_intro zenon_H11e. zenon_intro zenon_H11d. % 1.16/1.37 exact (zenon_H11e zenon_H31). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H117); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H120). zenon_intro zenon_H122. zenon_intro zenon_H121. % 1.16/1.37 exact (zenon_H122 zenon_H33). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H11f); [ zenon_intro zenon_H124 | zenon_intro zenon_H123 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H124). zenon_intro zenon_H126. zenon_intro zenon_H125. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H125). zenon_intro zenon_H128. zenon_intro zenon_H127. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H12a. zenon_intro zenon_H129. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H129). zenon_intro zenon_H12c. zenon_intro zenon_H12b. % 1.16/1.37 exact (zenon_H12b zenon_H35). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H123); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H12e). zenon_intro zenon_H130. zenon_intro zenon_H12f. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_Hb0. zenon_intro zenon_H131. % 1.16/1.37 exact (zenon_Hb0 zenon_H37). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H12d); [ zenon_intro zenon_H133 | zenon_intro zenon_H132 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H133). zenon_intro zenon_H135. zenon_intro zenon_H134. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H134). zenon_intro zenon_H137. zenon_intro zenon_H136. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H136). zenon_intro zenon_H139. zenon_intro zenon_H138. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H138). zenon_intro zenon_H13b. zenon_intro zenon_H13a. % 1.16/1.37 exact (zenon_H13b zenon_H39). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H132); [ zenon_intro zenon_H13d | zenon_intro zenon_H13c ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H13d). zenon_intro zenon_H13f. zenon_intro zenon_H13e. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H13e). zenon_intro zenon_H141. zenon_intro zenon_H140. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H140). zenon_intro zenon_H143. zenon_intro zenon_H142. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H142). zenon_intro zenon_H65. zenon_intro zenon_H144. % 1.16/1.37 exact (zenon_H65 zenon_H3b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H13c); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H146). zenon_intro zenon_H148. zenon_intro zenon_H147. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H147). zenon_intro zenon_H14a. zenon_intro zenon_H149. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H149). zenon_intro zenon_H80. zenon_intro zenon_H14b. % 1.16/1.37 exact (zenon_H80 zenon_H3d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H145); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H14d). zenon_intro zenon_H14f. zenon_intro zenon_H14e. % 1.16/1.37 exact (zenon_H14f zenon_H3f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H14c); [ zenon_intro zenon_H151 | zenon_intro zenon_H150 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H151). zenon_intro zenon_H59. zenon_intro zenon_H152. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H152). zenon_intro zenon_H154. zenon_intro zenon_H153. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H153). zenon_intro zenon_H156. zenon_intro zenon_H155. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H155). zenon_intro zenon_H158. zenon_intro zenon_H157. % 1.16/1.37 exact (zenon_H157 zenon_H41). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H150); [ zenon_intro zenon_H15a | zenon_intro zenon_H159 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H15a). zenon_intro zenon_H15c. zenon_intro zenon_H15b. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H15b). zenon_intro zenon_Hcb. zenon_intro zenon_H15d. % 1.16/1.37 exact (zenon_Hcb zenon_H43). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H159); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H15f). zenon_intro zenon_H161. zenon_intro zenon_H160. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H160). zenon_intro zenon_H163. zenon_intro zenon_H162. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H162). zenon_intro zenon_H165. zenon_intro zenon_H164. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H164). zenon_intro zenon_H167. zenon_intro zenon_H166. % 1.16/1.37 exact (zenon_H166 zenon_H45). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H15e); [ zenon_intro zenon_H169 | zenon_intro zenon_H168 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H169). zenon_intro zenon_H16b. zenon_intro zenon_H16a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H16a). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H16e). zenon_intro zenon_H171. zenon_intro zenon_H170. % 1.16/1.37 exact (zenon_H171 zenon_H47). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H168); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H173). zenon_intro zenon_H175. zenon_intro zenon_H174. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H174). zenon_intro zenon_H177. zenon_intro zenon_H176. % 1.16/1.37 exact (zenon_H177 zenon_H49). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H172); [ zenon_intro zenon_H179 | zenon_intro zenon_H178 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H179). zenon_intro zenon_H17b. zenon_intro zenon_H17a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H17a). zenon_intro zenon_H17d. zenon_intro zenon_H17c. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H17c). zenon_intro zenon_H17f. zenon_intro zenon_H17e. % 1.16/1.37 exact (zenon_H17f zenon_H4b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H178); [ zenon_intro zenon_H181 | zenon_intro zenon_H180 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H181). zenon_intro zenon_H183. zenon_intro zenon_H182. % 1.16/1.37 exact (zenon_H183 zenon_H4a). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H180); [ zenon_intro zenon_H185 | zenon_intro zenon_H184 ]. % 1.16/1.37 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H185. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1d. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H186]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_H187 | zenon_intro zenon_H188 ]. % 1.16/1.37 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H186. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H187. % 1.16/1.37 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H188]. % 1.16/1.37 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H189]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 congruence. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply zenon_H188. apply refl_equal. % 1.16/1.37 apply zenon_H188. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H184); [ zenon_intro zenon_H18b | zenon_intro zenon_H18a ]. % 1.16/1.37 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H18b. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1d. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H18c]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_H18d | zenon_intro zenon_H18e ]. % 1.16/1.37 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H18c. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H18d. % 1.16/1.37 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 1.16/1.37 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18f]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H18e. apply refl_equal. % 1.16/1.37 apply zenon_H18e. apply refl_equal. % 1.16/1.37 apply zenon_H5. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H18a); [ zenon_intro zenon_H191 | zenon_intro zenon_H190 ]. % 1.16/1.37 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H191. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1f. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H192]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_H193 | zenon_intro zenon_H194 ]. % 1.16/1.37 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H192. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H193. % 1.16/1.37 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H194]. % 1.16/1.37 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H195]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 congruence. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply zenon_H194. apply refl_equal. % 1.16/1.37 apply zenon_H194. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H190); [ zenon_intro zenon_H197 | zenon_intro zenon_H196 ]. % 1.16/1.37 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H197. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H27. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H198]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_H199 | zenon_intro zenon_H19a ]. % 1.16/1.37 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H198. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H199. % 1.16/1.37 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 1.16/1.37 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H19b]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H19a. apply refl_equal. % 1.16/1.37 apply zenon_H19a. apply refl_equal. % 1.16/1.37 apply zenon_H7. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H196); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ]. % 1.16/1.37 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H19d. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H21. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H19e]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_H19f | zenon_intro zenon_H1a0 ]. % 1.16/1.37 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H19e. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H19f. % 1.16/1.37 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a0]. % 1.16/1.37 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a1]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 congruence. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply zenon_H1a0. apply refl_equal. % 1.16/1.37 apply zenon_H1a0. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H19c); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1a2 ]. % 1.16/1.37 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1a3. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H31. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1a4]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a6 ]. % 1.16/1.37 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1a4. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1a5. % 1.16/1.37 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 1.16/1.37 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a7]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H1a6. apply refl_equal. % 1.16/1.37 apply zenon_H1a6. apply refl_equal. % 1.16/1.37 apply zenon_H8. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1a2); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1a8 ]. % 1.16/1.37 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1a9. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H23. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1aa]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1ac ]. % 1.16/1.37 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1aa. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1ab. % 1.16/1.37 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 1.16/1.37 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1ad]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 congruence. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply zenon_H1ac. apply refl_equal. % 1.16/1.37 apply zenon_H1ac. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1a8); [ zenon_intro zenon_H1af | zenon_intro zenon_H1ae ]. % 1.16/1.37 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1af. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H3b. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1b0]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b2 ]. % 1.16/1.37 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1b0. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1b1. % 1.16/1.37 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 1.16/1.37 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1b3]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H1b2. apply refl_equal. % 1.16/1.37 apply zenon_H1b2. apply refl_equal. % 1.16/1.37 apply zenon_H4. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1ae); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 1.16/1.37 cut (((op (e0) (e4)) = (e4)) = ((op (unit) (e4)) = (e4))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1b5. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H25. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((op (e0) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1b6]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (unit) (e4)) = (op (unit) (e4)))); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b8 ]. % 1.16/1.37 cut (((op (unit) (e4)) = (op (unit) (e4))) = ((op (e0) (e4)) = (op (unit) (e4)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1b6. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1b7. % 1.16/1.37 cut (((op (unit) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 1.16/1.37 cut (((op (unit) (e4)) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1b9]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 congruence. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply zenon_H1b8. apply refl_equal. % 1.16/1.37 apply zenon_H1b8. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1b4); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 1.16/1.37 cut (((op (e4) (e0)) = (e4)) = ((op (e4) (unit)) = (e4))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1bb. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H45. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1bc]. % 1.16/1.37 congruence. % 1.16/1.37 elim (classic ((op (e4) (unit)) = (op (e4) (unit)))); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1be ]. % 1.16/1.37 cut (((op (e4) (unit)) = (op (e4) (unit))) = ((op (e4) (e0)) = (op (e4) (unit)))). % 1.16/1.37 intro zenon_D_pnotp. % 1.16/1.37 apply zenon_H1bc. % 1.16/1.37 rewrite <- zenon_D_pnotp. % 1.16/1.37 exact zenon_H1bd. % 1.16/1.37 cut (((op (e4) (unit)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 1.16/1.37 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bf]. % 1.16/1.37 congruence. % 1.16/1.37 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 1.16/1.37 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 1.16/1.37 congruence. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply zenon_H1be. apply refl_equal. % 1.16/1.37 apply zenon_H1be. apply refl_equal. % 1.16/1.37 apply zenon_H6. apply refl_equal. % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1ba); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1c1). zenon_intro zenon_H9. zenon_intro zenon_H1c2. % 1.16/1.37 exact (zenon_H9 ax3). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1c3 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1c4). zenon_intro zenon_Hcf. zenon_intro zenon_H1c5. % 1.16/1.37 exact (zenon_Hcf zenon_H1d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1c3); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H1c6 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1c7). zenon_intro zenon_Hcf. zenon_intro zenon_H1c8. % 1.16/1.37 exact (zenon_Hcf zenon_H1d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1c6); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1ca). zenon_intro zenon_H1cc. zenon_intro zenon_H1cb. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1cb). zenon_intro zenon_Hd5. zenon_intro zenon_H1cd. % 1.16/1.37 exact (zenon_Hd5 zenon_H1f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1c9); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1cf). zenon_intro zenon_H1cc. zenon_intro zenon_H1d0. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1d0). zenon_intro zenon_Hf7. zenon_intro zenon_H1d1. % 1.16/1.37 exact (zenon_Hf7 zenon_H27). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1d3). zenon_intro zenon_H1d5. zenon_intro zenon_H1d4. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1d4). zenon_intro zenon_H1d7. zenon_intro zenon_H1d6. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1d6). zenon_intro zenon_Hdd. zenon_intro zenon_H1d8. % 1.16/1.37 exact (zenon_Hdd zenon_H21). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1d2); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_H1d5. zenon_intro zenon_H1db. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1db). zenon_intro zenon_H1dd. zenon_intro zenon_H1dc. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1dc). zenon_intro zenon_H11e. zenon_intro zenon_H1de. % 1.16/1.37 exact (zenon_H11e zenon_H31). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1d9); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1e0). zenon_intro zenon_H1e2. zenon_intro zenon_H1e1. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_H1e4. zenon_intro zenon_H1e3. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1e3). zenon_intro zenon_H1e6. zenon_intro zenon_H1e5. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1e5). zenon_intro zenon_He7. zenon_intro zenon_Hf1. % 1.16/1.37 exact (zenon_He7 zenon_H23). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1df); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1e7 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1e8). zenon_intro zenon_H1e2. zenon_intro zenon_H1e9. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1e9). zenon_intro zenon_H1eb. zenon_intro zenon_H1ea. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1ea). zenon_intro zenon_H1ed. zenon_intro zenon_H1ec. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1ec). zenon_intro zenon_H65. zenon_intro zenon_H167. % 1.16/1.37 exact (zenon_H65 zenon_H3b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1e7); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1ef). zenon_intro zenon_H1f1. zenon_intro zenon_H1f0. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1f0). zenon_intro zenon_H1f3. zenon_intro zenon_H1f2. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1f2). zenon_intro zenon_H1f5. zenon_intro zenon_H1f4. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1f4). zenon_intro zenon_He6. zenon_intro zenon_Hf0. % 1.16/1.37 exact (zenon_Hf0 zenon_H25). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f6 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_H1f1. zenon_intro zenon_H1f8. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1f8). zenon_intro zenon_H1fa. zenon_intro zenon_H1f9. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1f9). zenon_intro zenon_H1fc. zenon_intro zenon_H1fb. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1fb). zenon_intro zenon_H144. zenon_intro zenon_H166. % 1.16/1.37 exact (zenon_H166 zenon_H45). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1f6); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1fe). zenon_intro zenon_Hf5. zenon_intro zenon_H1ff. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H1ff). zenon_intro zenon_Hfb. zenon_intro zenon_H200. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H200). zenon_intro zenon_H105. zenon_intro zenon_H201. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H201). zenon_intro zenon_H10e. zenon_intro zenon_H112. % 1.16/1.37 exact (zenon_H10e zenon_H2d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H1fd); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H203). zenon_intro zenon_Hd3. zenon_intro zenon_H204. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H204). zenon_intro zenon_Hfb. zenon_intro zenon_H205. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H205). zenon_intro zenon_H122. zenon_intro zenon_H206. % 1.16/1.37 exact (zenon_H122 zenon_H33). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H202); [ zenon_intro zenon_H208 | zenon_intro zenon_H207 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H208). zenon_intro zenon_Hf7. zenon_intro zenon_H209. % 1.16/1.37 exact (zenon_Hf7 zenon_H27). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H207); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H20b). zenon_intro zenon_Hd5. zenon_intro zenon_H20c. % 1.16/1.37 exact (zenon_Hd5 zenon_H1f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H20a); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H20e). zenon_intro zenon_H1dd. zenon_intro zenon_H20f. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H20f). zenon_intro zenon_Hff. zenon_intro zenon_H210. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H210). zenon_intro zenon_H109. zenon_intro zenon_H211. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H211). zenon_intro zenon_H8c. zenon_intro zenon_H116. % 1.16/1.37 exact (zenon_H116 zenon_H2f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H20d); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H213). zenon_intro zenon_H1d7. zenon_intro zenon_H214. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H214). zenon_intro zenon_Hff. zenon_intro zenon_H215. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H215). zenon_intro zenon_H217. zenon_intro zenon_H216. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H216). zenon_intro zenon_H80. zenon_intro zenon_H16f. % 1.16/1.37 exact (zenon_H80 zenon_H3d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H212); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H219). zenon_intro zenon_H1eb. zenon_intro zenon_H21a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H21a). zenon_intro zenon_H101. zenon_intro zenon_H21b. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H21b). zenon_intro zenon_H97. zenon_intro zenon_H21c. % 1.16/1.37 exact (zenon_H97 zenon_H2b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H218); [ zenon_intro zenon_H21e | zenon_intro zenon_H21d ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H21e). zenon_intro zenon_H1e4. zenon_intro zenon_H21f. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H101. zenon_intro zenon_H220. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_Ha5. zenon_intro zenon_H221. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H221). zenon_intro zenon_H222. zenon_intro zenon_H171. % 1.16/1.37 exact (zenon_H171 zenon_H47). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H21d); [ zenon_intro zenon_H224 | zenon_intro zenon_H223 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H224). zenon_intro zenon_H1fa. zenon_intro zenon_H225. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H225). zenon_intro zenon_H100. zenon_intro zenon_H226. % 1.16/1.37 exact (zenon_H100 zenon_H29). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H223); [ zenon_intro zenon_H228 | zenon_intro zenon_H227 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H228). zenon_intro zenon_H1f3. zenon_intro zenon_H229. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H229). zenon_intro zenon_H100. zenon_intro zenon_H22a. % 1.16/1.37 exact (zenon_H100 zenon_H29). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H227); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H22c). zenon_intro zenon_H11a. zenon_intro zenon_H22d. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H22d). zenon_intro zenon_H122. zenon_intro zenon_H22e. % 1.16/1.37 exact (zenon_H122 zenon_H33). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H22b); [ zenon_intro zenon_H230 | zenon_intro zenon_H22f ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H230). zenon_intro zenon_Hd9. zenon_intro zenon_H231. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H231). zenon_intro zenon_H105. zenon_intro zenon_H232. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H232). zenon_intro zenon_H126. zenon_intro zenon_H233. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H233). zenon_intro zenon_H14f. zenon_intro zenon_H175. % 1.16/1.37 exact (zenon_H14f zenon_H3f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H22f); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H235). zenon_intro zenon_H11c. zenon_intro zenon_H236. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H236). zenon_intro zenon_H238. zenon_intro zenon_H237. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H237). zenon_intro zenon_H128. zenon_intro zenon_H239. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H239). zenon_intro zenon_Hb0. zenon_intro zenon_H137. % 1.16/1.37 exact (zenon_Hb0 zenon_H37). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H234); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H23b). zenon_intro zenon_Hdb. zenon_intro zenon_H23c. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H23c). zenon_intro zenon_H107. zenon_intro zenon_H23d. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H23d). zenon_intro zenon_H128. zenon_intro zenon_H23e. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H23e). zenon_intro zenon_H75. zenon_intro zenon_H177. % 1.16/1.37 exact (zenon_H177 zenon_H49). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H23a); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H240). zenon_intro zenon_H11e. zenon_intro zenon_H241. % 1.16/1.37 exact (zenon_H11e zenon_H31). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H23f); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H243). zenon_intro zenon_Hdd. zenon_intro zenon_H244. % 1.16/1.37 exact (zenon_Hdd zenon_H21). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H242); [ zenon_intro zenon_H246 | zenon_intro zenon_H245 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H246). zenon_intro zenon_H1ed. zenon_intro zenon_H247. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H247). zenon_intro zenon_Ha5. zenon_intro zenon_H248. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H248). zenon_intro zenon_H12c. zenon_intro zenon_H249. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H249). zenon_intro zenon_H24a. zenon_intro zenon_H13b. % 1.16/1.37 exact (zenon_H13b zenon_H39). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H245); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H24c). zenon_intro zenon_H1e6. zenon_intro zenon_H24d. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H24d). zenon_intro zenon_H97. zenon_intro zenon_H24e. % 1.16/1.37 exact (zenon_H97 zenon_H2b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H24b); [ zenon_intro zenon_H250 | zenon_intro zenon_H24f ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H250). zenon_intro zenon_H1fc. zenon_intro zenon_H251. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H251). zenon_intro zenon_H253. zenon_intro zenon_H252. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H252). zenon_intro zenon_H12b. zenon_intro zenon_H254. % 1.16/1.37 exact (zenon_H12b zenon_H35). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H24f); [ zenon_intro zenon_H256 | zenon_intro zenon_H255 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H256). zenon_intro zenon_H1f5. zenon_intro zenon_H257. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H257). zenon_intro zenon_H10a. zenon_intro zenon_H258. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H258). zenon_intro zenon_H12b. zenon_intro zenon_H259. % 1.16/1.37 exact (zenon_H12b zenon_H35). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H255); [ zenon_intro zenon_H25b | zenon_intro zenon_H25a ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H25b). zenon_intro zenon_H13f. zenon_intro zenon_H25c. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H25c). zenon_intro zenon_H148. zenon_intro zenon_H25d. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H25d). zenon_intro zenon_H14f. zenon_intro zenon_H25e. % 1.16/1.37 exact (zenon_H14f zenon_H3f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H25a); [ zenon_intro zenon_H260 | zenon_intro zenon_H25f ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H260). zenon_intro zenon_He1. zenon_intro zenon_H261. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H261). zenon_intro zenon_H10e. zenon_intro zenon_H262. % 1.16/1.37 exact (zenon_H10e zenon_H2d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H25f); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H264). zenon_intro zenon_H141. zenon_intro zenon_H265. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H265). zenon_intro zenon_H14a. zenon_intro zenon_H266. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H266). zenon_intro zenon_H75. zenon_intro zenon_H267. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H267). zenon_intro zenon_H154. zenon_intro zenon_Hcb. % 1.16/1.37 exact (zenon_Hcb zenon_H43). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H263); [ zenon_intro zenon_H269 | zenon_intro zenon_H268 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H269). zenon_intro zenon_He3. zenon_intro zenon_H26a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H26a). zenon_intro zenon_H26c. zenon_intro zenon_H26b. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H26b). zenon_intro zenon_Hb0. zenon_intro zenon_H26d. % 1.16/1.37 exact (zenon_Hb0 zenon_H37). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H268); [ zenon_intro zenon_H26f | zenon_intro zenon_H26e ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H26f). zenon_intro zenon_H143. zenon_intro zenon_H270. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H270). zenon_intro zenon_H80. zenon_intro zenon_H271. % 1.16/1.37 exact (zenon_H80 zenon_H3d). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H26e); [ zenon_intro zenon_H273 | zenon_intro zenon_H272 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H273). zenon_intro zenon_He5. zenon_intro zenon_H274. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H274). zenon_intro zenon_H8c. zenon_intro zenon_H275. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H275). zenon_intro zenon_H277. zenon_intro zenon_H276. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H276). zenon_intro zenon_H156. zenon_intro zenon_H17f. % 1.16/1.37 exact (zenon_H17f zenon_H4b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H272); [ zenon_intro zenon_H279 | zenon_intro zenon_H278 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H279). zenon_intro zenon_H65. zenon_intro zenon_H27a. % 1.16/1.37 exact (zenon_H65 zenon_H3b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H278); [ zenon_intro zenon_H27c | zenon_intro zenon_H27b ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H27c). zenon_intro zenon_He7. zenon_intro zenon_H27d. % 1.16/1.37 exact (zenon_He7 zenon_H23). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H27b); [ zenon_intro zenon_H27f | zenon_intro zenon_H27e ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H27f). zenon_intro zenon_H144. zenon_intro zenon_H280. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H280). zenon_intro zenon_Hc0. zenon_intro zenon_H281. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H281). zenon_intro zenon_H283. zenon_intro zenon_H282. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H282). zenon_intro zenon_H157. zenon_intro zenon_H284. % 1.16/1.37 exact (zenon_H157 zenon_H41). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H27e); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H286). zenon_intro zenon_He6. zenon_intro zenon_H287. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H287). zenon_intro zenon_H289. zenon_intro zenon_H288. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H288). zenon_intro zenon_H28b. zenon_intro zenon_H28a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H28a). zenon_intro zenon_H157. zenon_intro zenon_H28c. % 1.16/1.37 exact (zenon_H157 zenon_H41). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H285); [ zenon_intro zenon_H28e | zenon_intro zenon_H28d ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H28e). zenon_intro zenon_H161. zenon_intro zenon_H28f. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H28f). zenon_intro zenon_H16b. zenon_intro zenon_H290. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H290). zenon_intro zenon_H175. zenon_intro zenon_H291. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H291). zenon_intro zenon_H17b. zenon_intro zenon_H183. % 1.16/1.37 exact (zenon_H183 zenon_H4a). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H28d); [ zenon_intro zenon_H293 | zenon_intro zenon_H292 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H293). zenon_intro zenon_Heb. zenon_intro zenon_H294. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H294). zenon_intro zenon_H112. zenon_intro zenon_H295. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H295). zenon_intro zenon_H135. zenon_intro zenon_H296. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H296). zenon_intro zenon_H15c. zenon_intro zenon_H183. % 1.16/1.37 exact (zenon_H183 zenon_H4a). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H292); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H298). zenon_intro zenon_H163. zenon_intro zenon_H299. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H299). zenon_intro zenon_H16d. zenon_intro zenon_H29a. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H29a). zenon_intro zenon_H177. zenon_intro zenon_H29b. % 1.16/1.37 exact (zenon_H177 zenon_H49). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H297); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H29d). zenon_intro zenon_Hed. zenon_intro zenon_H29e. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H29e). zenon_intro zenon_H114. zenon_intro zenon_H29f. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H29f). zenon_intro zenon_H137. zenon_intro zenon_H2a0. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2a0). zenon_intro zenon_Hcb. zenon_intro zenon_H2a1. % 1.16/1.37 exact (zenon_Hcb zenon_H43). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H29c); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2a2 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2a3). zenon_intro zenon_H165. zenon_intro zenon_H2a4. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2a4). zenon_intro zenon_H16f. zenon_intro zenon_H2a5. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2a5). zenon_intro zenon_H2a7. zenon_intro zenon_H2a6. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2a6). zenon_intro zenon_H17f. zenon_intro zenon_H2a8. % 1.16/1.37 exact (zenon_H17f zenon_H4b). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H2a2); [ zenon_intro zenon_H2aa | zenon_intro zenon_H2a9 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2aa). zenon_intro zenon_Hef. zenon_intro zenon_H2ab. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2ab). zenon_intro zenon_H116. zenon_intro zenon_H2ac. % 1.16/1.37 exact (zenon_H116 zenon_H2f). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H2a9); [ zenon_intro zenon_H2ae | zenon_intro zenon_H2ad ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2ae). zenon_intro zenon_H167. zenon_intro zenon_H2af. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2af). zenon_intro zenon_H171. zenon_intro zenon_H2b0. % 1.16/1.37 exact (zenon_H171 zenon_H47). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H2ad); [ zenon_intro zenon_H2b2 | zenon_intro zenon_H2b1 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2b2). zenon_intro zenon_Hf1. zenon_intro zenon_H2b3. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2b3). zenon_intro zenon_H2b5. zenon_intro zenon_H2b4. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2b4). zenon_intro zenon_H13b. zenon_intro zenon_H2b6. % 1.16/1.37 exact (zenon_H13b zenon_H39). % 1.16/1.37 apply (zenon_notand_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b8 | zenon_intro zenon_H2b7 ]. % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2b8). zenon_intro zenon_H166. zenon_intro zenon_H2b9. % 1.16/1.37 exact (zenon_H166 zenon_H45). % 1.16/1.37 apply (zenon_notor_s _ _ zenon_H2b7). zenon_intro zenon_Hf0. zenon_intro zenon_H2ba. % 1.16/1.37 exact (zenon_Hf0 zenon_H25). % 1.16/1.37 Qed. % 1.16/1.37 % SZS output end Proof % 1.16/1.37 (* END-PROOF *) % 1.16/1.37 nodes searched: 11662 % 1.16/1.37 max branch formulas: 409 % 1.16/1.37 proof nodes created: 254 % 1.16/1.37 formulas created: 18416 % 1.16/1.37 %------------------------------------------------------------------------------