%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG093+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n032.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:29:13 EDT 2022 % Result : Theorem 0.59s 0.79s % Output : Proof 0.59s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.09 % Problem : ALG093+1 : TPTP v8.1.0. Released v2.7.0. % 0.00/0.10 % Command : run_zenon %s %d % 0.09/0.28 % Computer : n032.cluster.edu % 0.09/0.28 % Model : x86_64 x86_64 % 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.09/0.28 % Memory : 8042.1875MB % 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64 % 0.09/0.28 % CPULimit : 300 % 0.09/0.28 % WCLimit : 600 % 0.09/0.28 % DateTime : Thu Jun 9 04:17:37 EDT 2022 % 0.09/0.29 % CPUTime : % 0.59/0.79 (* PROOF-FOUND *) % 0.59/0.79 % SZS status Theorem % 0.59/0.79 (* BEGIN-PROOF *) % 0.59/0.79 % SZS output start Proof % 0.59/0.79 Theorem co1 : (((((~((op (e0) (e0)) = (e0)))\/(((op (e0) (e0)) = (e0))/\(~((e0) = (unit)))))/\(((~((op (e0) (e1)) = (e0)))\/(((op (e0) (e0)) = (e1))/\(~((e0) = (unit)))))/\(((~((op (e0) (e2)) = (e0)))\/(((op (e0) (e0)) = (e2))/\(~((e0) = (unit)))))/\(((~((op (e0) (e3)) = (e0)))\/(((op (e0) (e0)) = (e3))/\(~((e0) = (unit)))))/\(((~((op (e0) (e4)) = (e0)))\/(((op (e0) (e0)) = (e4))/\(~((e0) = (unit)))))/\(((~((op (e1) (e0)) = (e0)))\/(((op (e1) (e0)) = (e0))/\(~((e0) = (unit)))))/\(((~((op (e1) (e1)) = (e0)))\/(((op (e1) (e0)) = (e1))/\(~((e0) = (unit)))))/\(((~((op (e1) (e2)) = (e0)))\/(((op (e1) (e0)) = (e2))/\(~((e0) = (unit)))))/\(((~((op (e1) (e3)) = (e0)))\/(((op (e1) (e0)) = (e3))/\(~((e0) = (unit)))))/\(((~((op (e1) (e4)) = (e0)))\/(((op (e1) (e0)) = (e4))/\(~((e0) = (unit)))))/\(((~((op (e2) (e0)) = (e0)))\/(((op (e2) (e0)) = (e0))/\(~((e0) = (unit)))))/\(((~((op (e2) (e1)) = (e0)))\/(((op (e2) (e0)) = (e1))/\(~((e0) = (unit)))))/\(((~((op (e2) (e2)) = (e0)))\/(((op (e2) (e0)) = (e2))/\(~((e0) = (unit)))))/\(((~((op (e2) (e3)) = (e0)))\/(((op (e2) (e0)) = (e3))/\(~((e0) = (unit)))))/\(((~((op (e2) (e4)) = (e0)))\/(((op (e2) (e0)) = (e4))/\(~((e0) = (unit)))))/\(((~((op (e3) (e0)) = (e0)))\/(((op (e3) (e0)) = (e0))/\(~((e0) = (unit)))))/\(((~((op (e3) (e1)) = (e0)))\/(((op (e3) (e0)) = (e1))/\(~((e0) = (unit)))))/\(((~((op (e3) (e2)) = (e0)))\/(((op (e3) (e0)) = (e2))/\(~((e0) = (unit)))))/\(((~((op (e3) (e3)) = (e0)))\/(((op (e3) (e0)) = (e3))/\(~((e0) = (unit)))))/\(((~((op (e3) (e4)) = (e0)))\/(((op (e3) (e0)) = (e4))/\(~((e0) = (unit)))))/\(((~((op (e4) (e0)) = (e0)))\/(((op (e4) (e0)) = (e0))/\(~((e0) = (unit)))))/\(((~((op (e4) (e1)) = (e0)))\/(((op (e4) (e0)) = (e1))/\(~((e0) = (unit)))))/\(((~((op (e4) (e2)) = (e0)))\/(((op (e4) (e0)) = (e2))/\(~((e0) = (unit)))))/\(((~((op (e4) (e3)) = (e0)))\/(((op (e4) (e0)) = (e3))/\(~((e0) = (unit)))))/\((~((op (e4) (e4)) = (e0)))\/(((op (e4) (e0)) = (e4))/\(~((e0) = (unit)))))))))))))))))))))))))))))\/((((~((op (e0) (e0)) = (e1)))\/(((op (e0) (e1)) = (e0))/\(~((e1) = (unit)))))/\(((~((op (e0) (e1)) = (e1)))\/(((op (e0) (e1)) = (e1))/\(~((e1) = (unit)))))/\(((~((op (e0) (e2)) = (e1)))\/(((op (e0) (e1)) = (e2))/\(~((e1) = (unit)))))/\(((~((op (e0) (e3)) = (e1)))\/(((op (e0) (e1)) = (e3))/\(~((e1) = (unit)))))/\(((~((op (e0) (e4)) = (e1)))\/(((op (e0) (e1)) = (e4))/\(~((e1) = (unit)))))/\(((~((op (e1) (e0)) = (e1)))\/(((op (e1) (e1)) = (e0))/\(~((e1) = (unit)))))/\(((~((op (e1) (e1)) = (e1)))\/(((op (e1) (e1)) = (e1))/\(~((e1) = (unit)))))/\(((~((op (e1) (e2)) = (e1)))\/(((op (e1) (e1)) = (e2))/\(~((e1) = (unit)))))/\(((~((op (e1) (e3)) = (e1)))\/(((op (e1) (e1)) = (e3))/\(~((e1) = (unit)))))/\(((~((op (e1) (e4)) = (e1)))\/(((op (e1) (e1)) = (e4))/\(~((e1) = (unit)))))/\(((~((op (e2) (e0)) = (e1)))\/(((op (e2) (e1)) = (e0))/\(~((e1) = (unit)))))/\(((~((op (e2) (e1)) = (e1)))\/(((op (e2) (e1)) = (e1))/\(~((e1) = (unit)))))/\(((~((op (e2) (e2)) = (e1)))\/(((op (e2) (e1)) = (e2))/\(~((e1) = (unit)))))/\(((~((op (e2) (e3)) = (e1)))\/(((op (e2) (e1)) = (e3))/\(~((e1) = (unit)))))/\(((~((op (e2) (e4)) = (e1)))\/(((op (e2) (e1)) = (e4))/\(~((e1) = (unit)))))/\(((~((op (e3) (e0)) = (e1)))\/(((op (e3) (e1)) = (e0))/\(~((e1) = (unit)))))/\(((~((op (e3) (e1)) = (e1)))\/(((op (e3) (e1)) = (e1))/\(~((e1) = (unit)))))/\(((~((op (e3) (e2)) = (e1)))\/(((op (e3) (e1)) = (e2))/\(~((e1) = (unit)))))/\(((~((op (e3) (e3)) = (e1)))\/(((op 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(unit)))))/\(((~((op (e1) (e1)) = (e2)))\/(((op (e1) (e2)) = (e1))/\(~((e2) = (unit)))))/\(((~((op (e1) (e2)) = (e2)))\/(((op (e1) (e2)) = (e2))/\(~((e2) = (unit)))))/\(((~((op (e1) (e3)) = (e2)))\/(((op (e1) (e2)) = (e3))/\(~((e2) = (unit)))))/\(((~((op (e1) (e4)) = (e2)))\/(((op (e1) (e2)) = (e4))/\(~((e2) = (unit)))))/\(((~((op (e2) (e0)) = (e2)))\/(((op (e2) (e2)) = (e0))/\(~((e2) = (unit)))))/\(((~((op (e2) (e1)) = (e2)))\/(((op (e2) (e2)) = (e1))/\(~((e2) = (unit)))))/\(((~((op (e2) (e2)) = (e2)))\/(((op (e2) (e2)) = (e2))/\(~((e2) = (unit)))))/\(((~((op (e2) (e3)) = (e2)))\/(((op (e2) (e2)) = (e3))/\(~((e2) = (unit)))))/\(((~((op (e2) (e4)) = (e2)))\/(((op (e2) (e2)) = (e4))/\(~((e2) = (unit)))))/\(((~((op (e3) (e0)) = (e2)))\/(((op (e3) (e2)) = (e0))/\(~((e2) = (unit)))))/\(((~((op (e3) (e1)) = (e2)))\/(((op (e3) (e2)) = (e1))/\(~((e2) = (unit)))))/\(((~((op (e3) (e2)) = (e2)))\/(((op (e3) (e2)) = (e2))/\(~((e2) = (unit)))))/\(((~((op (e3) (e3)) = (e2)))\/(((op (e3) (e2)) = 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(unit)))))/\(((~((op (e3) (e4)) = (e3)))\/(((op (e3) (e3)) = (e4))/\(~((e3) = (unit)))))/\(((~((op (e4) (e0)) = (e3)))\/(((op (e4) (e3)) = (e0))/\(~((e3) = (unit)))))/\(((~((op (e4) (e1)) = (e3)))\/(((op (e4) (e3)) = (e1))/\(~((e3) = (unit)))))/\(((~((op (e4) (e2)) = (e3)))\/(((op (e4) (e3)) = (e2))/\(~((e3) = (unit)))))/\(((~((op (e4) (e3)) = (e3)))\/(((op (e4) (e3)) = (e3))/\(~((e3) = (unit)))))/\((~((op (e4) (e4)) = (e3)))\/(((op (e4) (e3)) = (e4))/\(~((e3) = (unit)))))))))))))))))))))))))))))\/(((~((op (e0) (e0)) = (e4)))\/(((op (e0) (e4)) = (e0))/\(~((e4) = (unit)))))/\(((~((op (e0) (e1)) = (e4)))\/(((op (e0) (e4)) = (e1))/\(~((e4) = (unit)))))/\(((~((op (e0) (e2)) = (e4)))\/(((op (e0) (e4)) = (e2))/\(~((e4) = (unit)))))/\(((~((op (e0) (e3)) = (e4)))\/(((op (e0) (e4)) = (e3))/\(~((e4) = (unit)))))/\(((~((op (e0) (e4)) = (e4)))\/(((op (e0) (e4)) = (e4))/\(~((e4) = (unit)))))/\(((~((op (e1) (e0)) = (e4)))\/(((op (e1) (e4)) = (e0))/\(~((e4) = (unit)))))/\(((~((op (e1) (e1)) = 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(e0) (e3)) = (e4))))))/\((((op (e0) (e4)) = (e0))\/(((op (e0) (e4)) = (e1))\/(((op (e0) (e4)) = (e2))\/(((op (e0) (e4)) = (e3))\/((op (e0) (e4)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/(((op (e1) (e0)) = (e3))\/((op (e1) (e0)) = (e4))))))/\((((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e1)) = (e3))\/((op (e1) (e1)) = (e4))))))/\((((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e2)) = (e4))))))/\((((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e3)) = (e4))))))/\((((op (e1) (e4)) = (e0))\/(((op (e1) (e4)) = (e1))\/(((op (e1) (e4)) = (e2))\/(((op (e1) (e4)) = (e3))\/((op (e1) (e4)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/(((op (e2) (e0)) = (e3))\/((op (e2) (e0)) = (e4))))))/\((((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e1)) = (e3))\/((op (e2) (e1)) = (e4))))))/\((((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4))))))/\((((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e3)) = (e4))))))/\((((op (e2) (e4)) = (e0))\/(((op (e2) (e4)) = (e1))\/(((op (e2) (e4)) = (e2))\/(((op (e2) (e4)) = (e3))\/((op (e2) (e4)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/(((op (e3) (e0)) = (e3))\/((op (e3) (e0)) = (e4))))))/\((((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e1)) = (e3))\/((op (e3) (e1)) = (e4))))))/\((((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e2)) = (e4))))))/\((((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4))))))/\((((op (e3) (e4)) = (e0))\/(((op (e3) (e4)) = (e1))\/(((op (e3) (e4)) = (e2))\/(((op (e3) (e4)) = (e3))\/((op (e3) (e4)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e0)) = (e1))\/(((op (e4) (e0)) = (e2))\/(((op (e4) (e0)) = (e3))\/((op (e4) (e0)) = (e4))))))/\((((op (e4) (e1)) = (e0))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e1)) = (e3))\/((op (e4) (e1)) = (e4))))))/\((((op (e4) (e2)) = (e0))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e2)) = (e3))\/((op (e4) (e2)) = (e4))))))/\((((op (e4) (e3)) = (e0))\/(((op (e4) (e3)) = (e1))\/(((op (e4) (e3)) = (e2))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4))))))/\(((op (unit) (e0)) = (e0))/\(((op (e0) (unit)) = (e0))/\(((op (unit) (e1)) = (e1))/\(((op (e1) (unit)) = (e1))/\(((op (unit) (e2)) = (e2))/\(((op (e2) (unit)) = (e2))/\(((op (unit) (e3)) = (e3))/\(((op (e3) (unit)) = (e3))/\(((op (unit) (e4)) = (e4))/\(((op (e4) (unit)) = (e4))/\((((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/(((op (e0) (e3)) = (e0))\/((op (e0) (e4)) = (e0))))))/\((((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/(((op (e3) (e0)) = (e0))\/((op (e4) (e0)) = (e0))))))/\((((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e3)) = (e1))\/((op (e0) (e4)) = (e1))))))/\((((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/(((op (e3) (e0)) = (e1))\/((op (e4) (e0)) = (e1))))))/\((((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e4)) = (e2))))))/\((((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/(((op (e3) (e0)) = (e2))\/((op (e4) (e0)) = (e2))))))/\((((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e4)) = (e3))))))/\((((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/(((op (e3) (e0)) = (e3))\/((op (e4) (e0)) = (e3))))))/\((((op (e0) (e0)) = (e4))\/(((op (e0) (e1)) = (e4))\/(((op (e0) (e2)) = (e4))\/(((op (e0) (e3)) = (e4))\/((op (e0) (e4)) = (e4))))))/\((((op (e0) (e0)) = (e4))\/(((op (e1) (e0)) = (e4))\/(((op (e2) (e0)) = (e4))\/(((op (e3) (e0)) = (e4))\/((op (e4) (e0)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e1) (e3)) = (e0))\/((op (e1) (e4)) = (e0))))))/\((((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0))))))/\((((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1))))))/\((((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e3) (e1)) = (e1))\/((op (e4) (e1)) = (e1))))))/\((((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e4)) = (e2))))))/\((((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e3) (e1)) = (e2))\/((op (e4) (e1)) = (e2))))))/\((((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e4)) = (e3))))))/\((((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3))))))/\((((op (e1) (e0)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e1) (e3)) = (e4))\/((op (e1) (e4)) = (e4))))))/\((((op (e0) (e1)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e3) (e1)) = (e4))\/((op (e4) (e1)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e2) (e4)) = (e0))))))/\((((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0))))))/\((((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e2) (e4)) = (e1))))))/\((((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e4) (e2)) = (e1))))))/\((((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2))))))/\((((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e4) (e2)) = (e2))))))/\((((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e4)) = (e3))))))/\((((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e4) (e2)) = (e3))))))/\((((op (e2) (e0)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e2) (e3)) = (e4))\/((op (e2) (e4)) = (e4))))))/\((((op (e0) (e2)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e3) (e2)) = (e4))\/((op (e4) (e2)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e3) (e4)) = (e0))))))/\((((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e4) (e3)) = (e0))))))/\((((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e3) (e4)) = (e1))))))/\((((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e4) (e3)) = (e1))))))/\((((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e4)) = (e2))))))/\((((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2))))))/\((((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3))))))/\((((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e4) (e3)) = (e3))))))/\((((op (e3) (e0)) = (e4))\/(((op (e3) (e1)) = (e4))\/(((op (e3) (e2)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e3) (e4)) = (e4))))))/\((((op (e0) (e3)) = (e4))\/(((op (e1) (e3)) = (e4))\/(((op (e2) (e3)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e1)) = (e0))\/(((op (e4) (e2)) = (e0))\/(((op (e4) (e3)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e4) (e0)) = (e1))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e3)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e4) (e0)) = (e2))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e3)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e4) (e0)) = (e3))\/(((op (e4) (e1)) = (e3))\/(((op (e4) (e2)) = (e3))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e0) (e4)) = (e3))\/(((op (e1) (e4)) = (e3))\/(((op (e2) (e4)) = (e3))\/(((op (e3) (e4)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4))))))/\(((op (e0) (e4)) = (e4))\/(((op (e1) (e4)) = (e4))\/(((op (e2) (e4)) = (e4))\/(((op (e3) (e4)) = (e4))\/((op (e4) (e4)) = (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.59/0.79 Proof. % 0.59/0.79 assert (zenon_L1_ : (~((e0) = (e0))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H4. % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 (* end of lemma zenon_L1_ *) % 0.59/0.79 assert (zenon_L2_ : (~(~((e1) = (unit)))) -> (~((e0) = (e1))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H5 zenon_H6. % 0.59/0.79 apply zenon_H5. zenon_intro zenon_H7. % 0.59/0.79 apply (zenon_congruence_lr_s _ (fun zenon_Vg : _ => ((e1) = zenon_Vg)) _ _ zenon_H7 ax3). zenon_intro zenon_H8. % 0.59/0.79 apply zenon_H6. apply sym_equal. exact zenon_H8. % 0.59/0.79 (* end of lemma zenon_L2_ *) % 0.59/0.79 assert (zenon_L3_ : (~((e2) = (e2))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H9. % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 (* end of lemma zenon_L3_ *) % 0.59/0.79 assert (zenon_L4_ : (~((e3) = (e3))) -> False). % 0.59/0.79 do 0 intro. intros zenon_Ha. % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 (* end of lemma zenon_L4_ *) % 0.59/0.79 assert (zenon_L5_ : (~((e4) = (e4))) -> False). % 0.59/0.79 do 0 intro. intros zenon_Hb. % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 (* end of lemma zenon_L5_ *) % 0.59/0.79 assert (zenon_L6_ : (~((~((op (e4) (e3)) = (e1)))\/(((op (e4) (e1)) = (e3))/\(~((e1) = (unit)))))) -> ((op (e4) (e1)) = (e3)) -> (~((e0) = (e1))) -> False). % 0.59/0.79 do 0 intro. intros zenon_Hc zenon_Hd zenon_H6. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_He); [ zenon_intro zenon_H10 | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_H10 zenon_Hd). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 (* end of lemma zenon_L6_ *) % 0.59/0.79 assert (zenon_L7_ : (~((~((op (e4) (e4)) = (e1)))\/(((op (e4) (e1)) = (e4))/\(~((e1) = (unit)))))) -> (~((e1) = (e2))) -> ((op (e4) (e4)) = (e2)) -> False). % 0.59/0.79 do 0 intro. intros zenon_H11 zenon_H12 zenon_H13. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H11). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.59/0.79 apply zenon_H15. zenon_intro zenon_H16. % 0.59/0.79 cut (((op (e4) (e4)) = (e2)) = ((e1) = (e2))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H12. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H13. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((op (e4) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H17]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H17 zenon_H16). % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 (* end of lemma zenon_L7_ *) % 0.59/0.79 assert (zenon_L8_ : (~((unit) = (e0))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H18. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 (* end of lemma zenon_L8_ *) % 0.59/0.79 assert (zenon_L9_ : (~((e1) = (e1))) -> False). % 0.59/0.79 do 0 intro. intros zenon_H19. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 (* end of lemma zenon_L9_ *) % 0.59/0.79 apply NNPP. intro zenon_G. % 0.59/0.79 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H6. zenon_intro zenon_H1a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1c. zenon_intro zenon_H1b. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1b). zenon_intro zenon_H1e. zenon_intro zenon_H1d. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1d). zenon_intro zenon_H20. zenon_intro zenon_H1f. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H1f). zenon_intro zenon_H12. zenon_intro zenon_H21. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H21). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.59/0.79 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H48). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Hd. zenon_intro zenon_H50. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H52. zenon_intro zenon_H51. % 0.59/0.79 apply (zenon_and_s _ _ zenon_H51). zenon_intro zenon_H53. zenon_intro zenon_H13. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H55). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H59); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H5b). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.59/0.79 apply zenon_H5d. zenon_intro zenon_H5e. % 0.59/0.79 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H19 ]. % 0.59/0.79 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H6. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H5f. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((op (e0) (e0)) = (e0)) = ((e1) = (e0))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H60. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H27. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((op (e0) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H61 zenon_H5e). % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H63). zenon_intro zenon_H65. zenon_intro zenon_H64. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_H66 zenon_H29). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H62); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H68). zenon_intro zenon_H6a. zenon_intro zenon_H69. % 0.59/0.79 apply zenon_H6a. zenon_intro zenon_H6b. % 0.59/0.79 cut (((op (e0) (e2)) = (e2)) = ((e1) = (e2))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H12. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H2b. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((op (e0) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6c]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H6c zenon_H6b). % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H67); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H70. zenon_intro zenon_H6f. % 0.59/0.79 apply zenon_H70. zenon_intro zenon_H71. % 0.59/0.79 cut (((op (e0) (e3)) = (e3)) = ((e1) = (e3))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H23. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H2d. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H72 zenon_H71). % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H6d); [ zenon_intro zenon_H74 | zenon_intro zenon_H73 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H74). zenon_intro zenon_H76. zenon_intro zenon_H75. % 0.59/0.79 apply zenon_H76. zenon_intro zenon_H77. % 0.59/0.79 cut (((op (e0) (e4)) = (e4)) = ((e1) = (e4))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H25. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H2f. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((op (e0) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H78]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H78 zenon_H77). % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H73); [ zenon_intro zenon_H7a | zenon_intro zenon_H79 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H7a). zenon_intro zenon_H7c. zenon_intro zenon_H7b. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_H7d | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_H7d zenon_H33). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H79); [ zenon_intro zenon_H7f | zenon_intro zenon_H7e ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H81. zenon_intro zenon_H80. % 0.59/0.79 apply zenon_H81. zenon_intro zenon_H82. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H83 | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_H83 zenon_H82). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H7e); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H85). zenon_intro zenon_H87. zenon_intro zenon_H86. % 0.59/0.79 apply zenon_H87. zenon_intro zenon_H88. % 0.59/0.79 cut (((op (e1) (e2)) = (e4)) = ((e1) = (e4))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H25. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H35. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((op (e1) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H89]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H89 zenon_H88). % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H84); [ zenon_intro zenon_H8b | zenon_intro zenon_H8a ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H8b). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.59/0.79 apply zenon_H8d. zenon_intro zenon_H8e. % 0.59/0.79 cut (((op (e1) (e3)) = (e2)) = ((e1) = (e2))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H12. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H37. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((op (e1) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H8f zenon_H8e). % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H8a); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H91). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.59/0.79 apply zenon_H93. zenon_intro zenon_H94. % 0.59/0.79 cut (((op (e1) (e4)) = (e3)) = ((e1) = (e3))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H23. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H39. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((op (e1) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H95]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H95 zenon_H94). % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H90); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H99. zenon_intro zenon_H98. % 0.59/0.79 apply zenon_H99. zenon_intro zenon_H9a. % 0.59/0.79 cut (((op (e2) (e0)) = (e2)) = ((e1) = (e2))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H12. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H3b. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H9b]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H9b zenon_H9a). % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H96); [ zenon_intro zenon_H9d | zenon_intro zenon_H9c ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H9d). zenon_intro zenon_H9f. zenon_intro zenon_H9e. % 0.59/0.79 apply zenon_H9f. zenon_intro zenon_Ha0. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H9e); [ zenon_intro zenon_Ha1 | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_Ha1 zenon_Ha0). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H9c); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Ha3). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.59/0.79 apply zenon_Ha5. zenon_intro zenon_Ha6. % 0.59/0.79 cut (((op (e2) (e2)) = (e3)) = ((e1) = (e3))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H23. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H3f. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((op (e2) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Ha7]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_Ha7 zenon_Ha6). % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Ha2); [ zenon_intro zenon_Ha9 | zenon_intro zenon_Ha8 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Ha9). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.59/0.79 apply zenon_Hab. zenon_intro zenon_Hac. % 0.59/0.79 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H19 ]. % 0.59/0.79 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H6. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H5f. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((op (e2) (e3)) = (e0)) = ((e1) = (e0))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H60. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H41. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((op (e2) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Had]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_Had zenon_Hac). % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Ha8); [ zenon_intro zenon_Haf | zenon_intro zenon_Hae ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Haf). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hb0); [ zenon_intro zenon_Hb2 | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_Hb2 zenon_H3d). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hae); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_Hb5. % 0.59/0.79 apply zenon_Hb6. zenon_intro zenon_Hb7. % 0.59/0.79 cut (((op (e3) (e0)) = (e3)) = ((e1) = (e3))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H23. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H45. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((op (e3) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hb8]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_Hb8 zenon_Hb7). % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hb3); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hba). zenon_intro zenon_Hbc. zenon_intro zenon_Hbb. % 0.59/0.79 apply zenon_Hbc. zenon_intro zenon_Hbd. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hbb); [ zenon_intro zenon_Hbe | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_Hbe zenon_Hbd). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hb9); [ zenon_intro zenon_Hc0 | zenon_intro zenon_Hbf ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hc0). zenon_intro zenon_Hc2. zenon_intro zenon_Hc1. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hc1); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_Hc3 zenon_H47). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hbf); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hc5). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.59/0.79 apply zenon_Hc7. zenon_intro zenon_Hc8. % 0.59/0.79 cut (((op (e3) (e3)) = (e4)) = ((e1) = (e4))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H25. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H4b. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((op (e3) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hc9]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_Hc9 zenon_Hc8). % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hcb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcc. % 0.59/0.79 apply zenon_Hcd. zenon_intro zenon_Hce. % 0.59/0.79 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H19 ]. % 0.59/0.79 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H6. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H5f. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((op (e3) (e4)) = (e0)) = ((e1) = (e0))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H60. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H4d. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_Hcf zenon_Hce). % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hca); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2. % 0.59/0.79 apply zenon_Hd3. zenon_intro zenon_Hd4. % 0.59/0.79 cut (((op (e4) (e0)) = (e4)) = ((e1) = (e4))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H25. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H4f. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((op (e4) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hd5]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_Hd5 zenon_Hd4). % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd6 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hd7). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.59/0.79 apply zenon_Hd9. zenon_intro zenon_Hda. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hd8); [ zenon_intro zenon_Hdb | zenon_intro zenon_H5 ]. % 0.59/0.79 exact (zenon_Hdb zenon_Hda). % 0.59/0.79 apply (zenon_L2_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hd6); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hdd). zenon_intro zenon_Hdf. zenon_intro zenon_Hde. % 0.59/0.79 apply zenon_Hdf. zenon_intro zenon_He0. % 0.59/0.79 elim (classic ((e1) = (e1))); [ zenon_intro zenon_H5f | zenon_intro zenon_H19 ]. % 0.59/0.79 cut (((e1) = (e1)) = ((e0) = (e1))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H6. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H5f. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((e1) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((op (e4) (e2)) = (e0)) = ((e1) = (e0))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H60. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H52. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_He1]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_He1 zenon_He0). % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hdc); [ zenon_intro zenon_Hc | zenon_intro zenon_H11 ]. % 0.59/0.79 apply (zenon_L6_); trivial. % 0.59/0.79 apply (zenon_L7_); trivial. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_He3). zenon_intro zenon_He5. zenon_intro zenon_He4. % 0.59/0.79 exact (zenon_He5 zenon_H27). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_He2); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_He7). zenon_intro zenon_He9. zenon_intro zenon_He8. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_He8). zenon_intro zenon_H66. zenon_intro zenon_Hea. % 0.59/0.79 exact (zenon_H66 zenon_H29). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_He6); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_Hee. zenon_intro zenon_Hed. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hed). zenon_intro zenon_H6c. zenon_intro zenon_Hef. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hef). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 0.59/0.79 exact (zenon_Hf1 zenon_H2b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Heb); [ zenon_intro zenon_Hf3 | zenon_intro zenon_Hf2 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hf3). zenon_intro zenon_Hf5. zenon_intro zenon_Hf4. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hf4). zenon_intro zenon_H72. zenon_intro zenon_Hf6. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hf6). zenon_intro zenon_Hf8. zenon_intro zenon_Hf7. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hf7). zenon_intro zenon_Hfa. zenon_intro zenon_Hf9. % 0.59/0.79 exact (zenon_Hfa zenon_H2d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hf2); [ zenon_intro zenon_Hfc | zenon_intro zenon_Hfb ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hfc). zenon_intro zenon_Hfe. zenon_intro zenon_Hfd. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_H78. zenon_intro zenon_Hff. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_Hff). zenon_intro zenon_H101. zenon_intro zenon_H100. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H100). zenon_intro zenon_H103. zenon_intro zenon_H102. % 0.59/0.79 exact (zenon_H102 zenon_H2f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_Hfb); [ zenon_intro zenon_H105 | zenon_intro zenon_H104 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H107. zenon_intro zenon_H106. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H106). zenon_intro zenon_H109. zenon_intro zenon_H108. % 0.59/0.79 exact (zenon_H109 zenon_H31). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H104); [ zenon_intro zenon_H10b | zenon_intro zenon_H10a ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H10b). zenon_intro zenon_H7d. zenon_intro zenon_H10c. % 0.59/0.79 exact (zenon_H7d zenon_H33). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H10a); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H10e). zenon_intro zenon_H110. zenon_intro zenon_H10f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H10f). zenon_intro zenon_H89. zenon_intro zenon_H111. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H111). zenon_intro zenon_H113. zenon_intro zenon_H112. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H112). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.59/0.79 exact (zenon_H114 zenon_H35). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H10d); [ zenon_intro zenon_H117 | zenon_intro zenon_H116 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H117). zenon_intro zenon_H119. zenon_intro zenon_H118. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H118). zenon_intro zenon_H8f. zenon_intro zenon_H11a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H11a). zenon_intro zenon_H11c. zenon_intro zenon_H11b. % 0.59/0.79 exact (zenon_H11c zenon_H37). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H116); [ zenon_intro zenon_H11e | zenon_intro zenon_H11d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H11e). zenon_intro zenon_H120. zenon_intro zenon_H11f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H11f). zenon_intro zenon_H95. zenon_intro zenon_H121. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H121). zenon_intro zenon_H123. zenon_intro zenon_H122. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H125. zenon_intro zenon_H124. % 0.59/0.79 exact (zenon_H125 zenon_H39). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H11d); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H129. zenon_intro zenon_H128. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H128). zenon_intro zenon_H9b. zenon_intro zenon_H12a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H12a). zenon_intro zenon_H12c. zenon_intro zenon_H12b. % 0.59/0.79 exact (zenon_H12c zenon_H3b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H126); [ zenon_intro zenon_H12e | zenon_intro zenon_H12d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H12e). zenon_intro zenon_H130. zenon_intro zenon_H12f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_Ha1. zenon_intro zenon_H131. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H131). zenon_intro zenon_H133. zenon_intro zenon_H132. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H132). zenon_intro zenon_H134. zenon_intro zenon_Hb2. % 0.59/0.79 exact (zenon_Hb2 zenon_H3d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H12d); [ zenon_intro zenon_H136 | zenon_intro zenon_H135 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H136). zenon_intro zenon_H138. zenon_intro zenon_H137. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H137). zenon_intro zenon_Ha7. zenon_intro zenon_H139. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H139). zenon_intro zenon_H13b. zenon_intro zenon_H13a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H13a). zenon_intro zenon_H13d. zenon_intro zenon_H13c. % 0.59/0.79 exact (zenon_H13d zenon_H3f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H135); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H13f). zenon_intro zenon_H141. zenon_intro zenon_H140. % 0.59/0.79 exact (zenon_H141 zenon_H41). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H13e); [ zenon_intro zenon_H143 | zenon_intro zenon_H142 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H143). zenon_intro zenon_H145. zenon_intro zenon_H144. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H144). zenon_intro zenon_H147. zenon_intro zenon_H146. % 0.59/0.79 exact (zenon_H147 zenon_H43). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H142); [ zenon_intro zenon_H149 | zenon_intro zenon_H148 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H149). zenon_intro zenon_H14b. zenon_intro zenon_H14a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H14a). zenon_intro zenon_Hb8. zenon_intro zenon_H14c. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H14c). zenon_intro zenon_H14e. zenon_intro zenon_H14d. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H14d). zenon_intro zenon_H150. zenon_intro zenon_H14f. % 0.59/0.79 exact (zenon_H150 zenon_H45). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H148); [ zenon_intro zenon_H152 | zenon_intro zenon_H151 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H152). zenon_intro zenon_H154. zenon_intro zenon_H153. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H153). zenon_intro zenon_Hbe. zenon_intro zenon_H155. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H155). zenon_intro zenon_Hc3. zenon_intro zenon_H156. % 0.59/0.79 exact (zenon_Hc3 zenon_H47). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H151); [ zenon_intro zenon_H158 | zenon_intro zenon_H157 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H158). zenon_intro zenon_H15a. zenon_intro zenon_H159. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H159). zenon_intro zenon_H15c. zenon_intro zenon_H15b. % 0.59/0.79 exact (zenon_H15c zenon_H49). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H157); [ zenon_intro zenon_H15e | zenon_intro zenon_H15d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H15e). zenon_intro zenon_H160. zenon_intro zenon_H15f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H15f). zenon_intro zenon_Hc9. zenon_intro zenon_H161. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H161). zenon_intro zenon_H163. zenon_intro zenon_H162. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H162). zenon_intro zenon_H165. zenon_intro zenon_H164. % 0.59/0.79 exact (zenon_H164 zenon_H4b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H15d); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H167). zenon_intro zenon_H169. zenon_intro zenon_H168. % 0.59/0.79 exact (zenon_H169 zenon_H4d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H166); [ zenon_intro zenon_H16b | zenon_intro zenon_H16a ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H16b). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_Hd5. zenon_intro zenon_H16e. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H16e). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 0.59/0.79 exact (zenon_H171 zenon_H4f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H16a); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H174). zenon_intro zenon_H176. zenon_intro zenon_H175. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H175). zenon_intro zenon_Hdb. zenon_intro zenon_H177. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H177). zenon_intro zenon_H179. zenon_intro zenon_H178. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H178). zenon_intro zenon_H10. zenon_intro zenon_H17a. % 0.59/0.79 exact (zenon_H10 zenon_Hd). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H173); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H17c). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 0.59/0.79 exact (zenon_H17e zenon_H52). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H17b); [ zenon_intro zenon_H180 | zenon_intro zenon_H17f ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H180). zenon_intro zenon_H182. zenon_intro zenon_H181. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H181). zenon_intro zenon_H184. zenon_intro zenon_H183. % 0.59/0.79 exact (zenon_H184 zenon_H53). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H17f); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H186). zenon_intro zenon_H188. zenon_intro zenon_H187. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H187). zenon_intro zenon_H17. zenon_intro zenon_H189. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H189). zenon_intro zenon_H18b. zenon_intro zenon_H18a. % 0.59/0.79 exact (zenon_H18b zenon_H13). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H185); [ zenon_intro zenon_H18d | zenon_intro zenon_H18c ]. % 0.59/0.79 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H18d. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H27. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H18e]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_H18f | zenon_intro zenon_H190 ]. % 0.59/0.79 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H18e. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H18f. % 0.59/0.79 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H190]. % 0.59/0.79 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H191]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply zenon_H190. apply refl_equal. % 0.59/0.79 apply zenon_H190. apply refl_equal. % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H18c); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ]. % 0.59/0.79 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H193. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H27. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H194]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_H195 | zenon_intro zenon_H196 ]. % 0.59/0.79 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H194. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H195. % 0.59/0.79 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H196]. % 0.59/0.79 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H197]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.59/0.79 congruence. % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H196. apply refl_equal. % 0.59/0.79 apply zenon_H196. apply refl_equal. % 0.59/0.79 apply zenon_H4. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H192); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.59/0.79 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H199. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H29. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19a]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_H19b | zenon_intro zenon_H19c ]. % 0.59/0.79 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H19a. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H19b. % 0.59/0.79 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19c]. % 0.59/0.79 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H19d]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply zenon_H19c. apply refl_equal. % 0.59/0.79 apply zenon_H19c. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H198); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.59/0.79 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H19f. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H31. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1a0]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H1a2 ]. % 0.59/0.79 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1a0. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1a1. % 0.59/0.79 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1a2]. % 0.59/0.79 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1a3]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H19]. % 0.59/0.79 congruence. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H1a2. apply refl_equal. % 0.59/0.79 apply zenon_H1a2. apply refl_equal. % 0.59/0.79 apply zenon_H19. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.59/0.79 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1a5. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H2b. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a6]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1a8 ]. % 0.59/0.79 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1a6. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1a7. % 0.59/0.79 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a8]. % 0.59/0.79 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H1a9]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 apply zenon_H1a8. apply refl_equal. % 0.59/0.79 apply zenon_H1a8. apply refl_equal. % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1a4); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.59/0.79 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1ab. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H3b. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1ac]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ae ]. % 0.59/0.79 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1ac. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1ad. % 0.59/0.79 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1ae]. % 0.59/0.79 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1af]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.59/0.79 congruence. % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H1ae. apply refl_equal. % 0.59/0.79 apply zenon_H1ae. apply refl_equal. % 0.59/0.79 apply zenon_H9. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1aa); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 0.59/0.79 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1b1. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H2d. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b2]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b4 ]. % 0.59/0.79 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1b2. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1b3. % 0.59/0.79 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b4]. % 0.59/0.79 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H1b5]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply zenon_H1b4. apply refl_equal. % 0.59/0.79 apply zenon_H1b4. apply refl_equal. % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1b0); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ]. % 0.59/0.79 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1b7. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H45. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1b8]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_H1b9 | zenon_intro zenon_H1ba ]. % 0.59/0.79 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1b8. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1b9. % 0.59/0.79 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1ba]. % 0.59/0.79 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1bb]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Ha]. % 0.59/0.79 congruence. % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H1ba. apply refl_equal. % 0.59/0.79 apply zenon_H1ba. apply refl_equal. % 0.59/0.79 apply zenon_Ha. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1b6); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 0.59/0.79 cut (((op (e0) (e4)) = (e4)) = ((op (unit) (e4)) = (e4))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1bd. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H2f. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((op (e0) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1be]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (unit) (e4)) = (op (unit) (e4)))); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1c0 ]. % 0.59/0.79 cut (((op (unit) (e4)) = (op (unit) (e4))) = ((op (e0) (e4)) = (op (unit) (e4)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1be. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1bf. % 0.59/0.79 cut (((op (unit) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1c0]. % 0.59/0.79 cut (((op (unit) (e4)) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H1c1]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 congruence. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply zenon_H1c0. apply refl_equal. % 0.59/0.79 apply zenon_H1c0. apply refl_equal. % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1bc); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.59/0.79 cut (((op (e4) (e0)) = (e4)) = ((op (e4) (unit)) = (e4))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1c3. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H4f. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1c4]. % 0.59/0.79 congruence. % 0.59/0.79 elim (classic ((op (e4) (unit)) = (op (e4) (unit)))); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c6 ]. % 0.59/0.79 cut (((op (e4) (unit)) = (op (e4) (unit))) = ((op (e4) (e0)) = (op (e4) (unit)))). % 0.59/0.79 intro zenon_D_pnotp. % 0.59/0.79 apply zenon_H1c4. % 0.59/0.79 rewrite <- zenon_D_pnotp. % 0.59/0.79 exact zenon_H1c5. % 0.59/0.79 cut (((op (e4) (unit)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H1c6]. % 0.59/0.79 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H1c7]. % 0.59/0.79 congruence. % 0.59/0.79 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H18]. % 0.59/0.79 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb]. % 0.59/0.79 congruence. % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply zenon_H1c6. apply refl_equal. % 0.59/0.79 apply zenon_H1c6. apply refl_equal. % 0.59/0.79 apply zenon_Hb. apply refl_equal. % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1c8 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1c9). zenon_intro zenon_H18. zenon_intro zenon_H1ca. % 0.59/0.79 exact (zenon_H18 ax3). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1cb ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1cc). zenon_intro zenon_He5. zenon_intro zenon_H1cd. % 0.59/0.79 exact (zenon_He5 zenon_H27). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1cb); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1cf). zenon_intro zenon_He5. zenon_intro zenon_H1d0. % 0.59/0.79 exact (zenon_He5 zenon_H27). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d1 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1d2). zenon_intro zenon_H61. zenon_intro zenon_H1d3. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1d3). zenon_intro zenon_H66. zenon_intro zenon_H1d4. % 0.59/0.79 exact (zenon_H66 zenon_H29). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1d1); [ zenon_intro zenon_H1d6 | zenon_intro zenon_H1d5 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1d6). zenon_intro zenon_H61. zenon_intro zenon_H1d7. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1d7). zenon_intro zenon_H109. zenon_intro zenon_H1d8. % 0.59/0.79 exact (zenon_H109 zenon_H31). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1d5); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_H1dc. zenon_intro zenon_H1db. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1db). zenon_intro zenon_H1de. zenon_intro zenon_H1dd. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1dd). zenon_intro zenon_Hf1. zenon_intro zenon_H1df. % 0.59/0.79 exact (zenon_Hf1 zenon_H2b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1d9); [ zenon_intro zenon_H1e1 | zenon_intro zenon_H1e0 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_H1dc. zenon_intro zenon_H1e2. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1e2). zenon_intro zenon_H1e4. zenon_intro zenon_H1e3. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1e3). zenon_intro zenon_H12c. zenon_intro zenon_H1e5. % 0.59/0.79 exact (zenon_H12c zenon_H3b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1e0); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1e7). zenon_intro zenon_H1e9. zenon_intro zenon_H1e8. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1e8). zenon_intro zenon_H1eb. zenon_intro zenon_H1ea. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1ea). zenon_intro zenon_H1ed. zenon_intro zenon_H1ec. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1ec). zenon_intro zenon_Hfa. zenon_intro zenon_H103. % 0.59/0.79 exact (zenon_Hfa zenon_H2d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1e6); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1ef). zenon_intro zenon_H1e9. zenon_intro zenon_H1f0. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1f0). zenon_intro zenon_H1f2. zenon_intro zenon_H1f1. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1f1). zenon_intro zenon_H1f4. zenon_intro zenon_H1f3. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1f3). zenon_intro zenon_H150. zenon_intro zenon_H172. % 0.59/0.79 exact (zenon_H150 zenon_H45). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1ee); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1f6). zenon_intro zenon_H1f8. zenon_intro zenon_H1f7. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_H1fa. zenon_intro zenon_H1f9. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1f9). zenon_intro zenon_H1fc. zenon_intro zenon_H1fb. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1fb). zenon_intro zenon_Hf9. zenon_intro zenon_H102. % 0.59/0.79 exact (zenon_H102 zenon_H2f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1f5); [ zenon_intro zenon_H1fe | zenon_intro zenon_H1fd ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1fe). zenon_intro zenon_H1f8. zenon_intro zenon_H1ff. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H1ff). zenon_intro zenon_H201. zenon_intro zenon_H200. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H200). zenon_intro zenon_H203. zenon_intro zenon_H202. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H202). zenon_intro zenon_H14f. zenon_intro zenon_H171. % 0.59/0.79 exact (zenon_H171 zenon_H4f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H1fd); [ zenon_intro zenon_H205 | zenon_intro zenon_H204 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H205). zenon_intro zenon_H107. zenon_intro zenon_H206. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H206). zenon_intro zenon_H7d. zenon_intro zenon_H207. % 0.59/0.79 exact (zenon_H7d zenon_H33). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H204); [ zenon_intro zenon_H209 | zenon_intro zenon_H208 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H209). zenon_intro zenon_He9. zenon_intro zenon_H20a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H20a). zenon_intro zenon_H7d. zenon_intro zenon_H20b. % 0.59/0.79 exact (zenon_H7d zenon_H33). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H208); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H20d). zenon_intro zenon_H109. zenon_intro zenon_H20e. % 0.59/0.79 exact (zenon_H109 zenon_H31). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H20c); [ zenon_intro zenon_H210 | zenon_intro zenon_H20f ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H210). zenon_intro zenon_H66. zenon_intro zenon_H211. % 0.59/0.79 exact (zenon_H66 zenon_H29). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H20f); [ zenon_intro zenon_H213 | zenon_intro zenon_H212 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H213). zenon_intro zenon_H1e4. zenon_intro zenon_H214. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H214). zenon_intro zenon_H216. zenon_intro zenon_H215. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H215). zenon_intro zenon_H113. zenon_intro zenon_H217. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H217). zenon_intro zenon_H11c. zenon_intro zenon_H123. % 0.59/0.79 exact (zenon_H11c zenon_H37). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H212); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H219). zenon_intro zenon_H1de. zenon_intro zenon_H21a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H21a). zenon_intro zenon_H216. zenon_intro zenon_H21b. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H21b). zenon_intro zenon_H133. zenon_intro zenon_H21c. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H21c). zenon_intro zenon_Hc3. zenon_intro zenon_H179. % 0.59/0.79 exact (zenon_Hc3 zenon_H47). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H218); [ zenon_intro zenon_H21e | zenon_intro zenon_H21d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H21e). zenon_intro zenon_H1f2. zenon_intro zenon_H21f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H221. zenon_intro zenon_H220. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_H115. zenon_intro zenon_H222. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H222). zenon_intro zenon_H223. zenon_intro zenon_H125. % 0.59/0.79 exact (zenon_H125 zenon_H39). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H21d); [ zenon_intro zenon_H225 | zenon_intro zenon_H224 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H225). zenon_intro zenon_H1eb. zenon_intro zenon_H226. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H226). zenon_intro zenon_H221. zenon_intro zenon_H227. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H227). zenon_intro zenon_H134. zenon_intro zenon_H228. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H228). zenon_intro zenon_H229. zenon_intro zenon_H10. % 0.59/0.79 exact (zenon_H10 zenon_Hd). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H224); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H22b). zenon_intro zenon_H201. zenon_intro zenon_H22c. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H22c). zenon_intro zenon_H22e. zenon_intro zenon_H22d. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H22d). zenon_intro zenon_H114. zenon_intro zenon_H22f. % 0.59/0.79 exact (zenon_H114 zenon_H35). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H22a); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H231). zenon_intro zenon_H1fa. zenon_intro zenon_H232. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H232). zenon_intro zenon_H22e. zenon_intro zenon_H233. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H233). zenon_intro zenon_Hb2. zenon_intro zenon_H234. % 0.59/0.79 exact (zenon_Hb2 zenon_H3d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H230); [ zenon_intro zenon_H236 | zenon_intro zenon_H235 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H236). zenon_intro zenon_H129. zenon_intro zenon_H237. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H237). zenon_intro zenon_H130. zenon_intro zenon_H238. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H238). zenon_intro zenon_H138. zenon_intro zenon_H239. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H239). zenon_intro zenon_H141. zenon_intro zenon_H145. % 0.59/0.79 exact (zenon_H141 zenon_H41). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H235); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H23b). zenon_intro zenon_Hee. zenon_intro zenon_H23c. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H23c). zenon_intro zenon_H110. zenon_intro zenon_H23d. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H23d). zenon_intro zenon_H138. zenon_intro zenon_H23e. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H23e). zenon_intro zenon_H15a. zenon_intro zenon_H17e. % 0.59/0.79 exact (zenon_H17e zenon_H52). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H23a); [ zenon_intro zenon_H240 | zenon_intro zenon_H23f ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H240). zenon_intro zenon_H9b. zenon_intro zenon_H241. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H241). zenon_intro zenon_Ha1. zenon_intro zenon_H242. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H242). zenon_intro zenon_Ha7. zenon_intro zenon_H243. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H243). zenon_intro zenon_Had. zenon_intro zenon_H147. % 0.59/0.79 exact (zenon_H147 zenon_H43). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H23f); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H245). zenon_intro zenon_H6c. zenon_intro zenon_H246. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H246). zenon_intro zenon_H89. zenon_intro zenon_H247. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H247). zenon_intro zenon_Ha7. zenon_intro zenon_H248. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H248). zenon_intro zenon_H15c. zenon_intro zenon_He1. % 0.59/0.79 exact (zenon_H15c zenon_H49). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H244); [ zenon_intro zenon_H24a | zenon_intro zenon_H249 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H24a). zenon_intro zenon_H12c. zenon_intro zenon_H24b. % 0.59/0.79 exact (zenon_H12c zenon_H3b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H249); [ zenon_intro zenon_H24d | zenon_intro zenon_H24c ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H24d). zenon_intro zenon_Hf1. zenon_intro zenon_H24e. % 0.59/0.79 exact (zenon_Hf1 zenon_H2b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H24c); [ zenon_intro zenon_H250 | zenon_intro zenon_H24f ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H250). zenon_intro zenon_H1f4. zenon_intro zenon_H251. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H251). zenon_intro zenon_H134. zenon_intro zenon_H252. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H252). zenon_intro zenon_H13d. zenon_intro zenon_H253. % 0.59/0.79 exact (zenon_H13d zenon_H3f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H24f); [ zenon_intro zenon_H255 | zenon_intro zenon_H254 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H255). zenon_intro zenon_H1ed. zenon_intro zenon_H256. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H256). zenon_intro zenon_H115. zenon_intro zenon_H257. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H257). zenon_intro zenon_H13d. zenon_intro zenon_H258. % 0.59/0.79 exact (zenon_H13d zenon_H3f). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H254); [ zenon_intro zenon_H25a | zenon_intro zenon_H259 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H25a). zenon_intro zenon_H203. zenon_intro zenon_H25b. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H25b). zenon_intro zenon_Hb2. zenon_intro zenon_H25c. % 0.59/0.79 exact (zenon_Hb2 zenon_H3d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H259); [ zenon_intro zenon_H25e | zenon_intro zenon_H25d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H25e). zenon_intro zenon_H1fc. zenon_intro zenon_H25f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H25f). zenon_intro zenon_H114. zenon_intro zenon_H260. % 0.59/0.79 exact (zenon_H114 zenon_H35). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H25d); [ zenon_intro zenon_H262 | zenon_intro zenon_H261 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H262). zenon_intro zenon_H14b. zenon_intro zenon_H263. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H263). zenon_intro zenon_H154. zenon_intro zenon_H264. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H264). zenon_intro zenon_H15a. zenon_intro zenon_H265. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H265). zenon_intro zenon_H160. zenon_intro zenon_H169. % 0.59/0.79 exact (zenon_H169 zenon_H4d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H261); [ zenon_intro zenon_H267 | zenon_intro zenon_H266 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H267). zenon_intro zenon_Hf5. zenon_intro zenon_H268. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H268). zenon_intro zenon_H119. zenon_intro zenon_H269. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H269). zenon_intro zenon_H141. zenon_intro zenon_H26a. % 0.59/0.79 exact (zenon_H141 zenon_H41). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H266); [ zenon_intro zenon_H26c | zenon_intro zenon_H26b ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H26c). zenon_intro zenon_Hb8. zenon_intro zenon_H26d. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H26d). zenon_intro zenon_Hbe. zenon_intro zenon_H26e. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H26e). zenon_intro zenon_H15c. zenon_intro zenon_H26f. % 0.59/0.79 exact (zenon_H15c zenon_H49). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H26b); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H271). zenon_intro zenon_H72. zenon_intro zenon_H272. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H272). zenon_intro zenon_H8f. zenon_intro zenon_H273. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H273). zenon_intro zenon_Had. zenon_intro zenon_H274. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H274). zenon_intro zenon_Hc9. zenon_intro zenon_H184. % 0.59/0.79 exact (zenon_H184 zenon_H53). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H270); [ zenon_intro zenon_H276 | zenon_intro zenon_H275 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H276). zenon_intro zenon_H14e. zenon_intro zenon_H277. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H277). zenon_intro zenon_Hc3. zenon_intro zenon_H278. % 0.59/0.79 exact (zenon_Hc3 zenon_H47). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H275); [ zenon_intro zenon_H27a | zenon_intro zenon_H279 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H27a). zenon_intro zenon_Hf8. zenon_intro zenon_H27b. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H27b). zenon_intro zenon_H11c. zenon_intro zenon_H27c. % 0.59/0.79 exact (zenon_H11c zenon_H37). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H279); [ zenon_intro zenon_H27e | zenon_intro zenon_H27d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H27e). zenon_intro zenon_H150. zenon_intro zenon_H27f. % 0.59/0.79 exact (zenon_H150 zenon_H45). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H27d); [ zenon_intro zenon_H281 | zenon_intro zenon_H280 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H281). zenon_intro zenon_Hfa. zenon_intro zenon_H282. % 0.59/0.79 exact (zenon_Hfa zenon_H2d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H280); [ zenon_intro zenon_H284 | zenon_intro zenon_H283 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H284). zenon_intro zenon_H14f. zenon_intro zenon_H285. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H285). zenon_intro zenon_H287. zenon_intro zenon_H286. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H286). zenon_intro zenon_H289. zenon_intro zenon_H288. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H288). zenon_intro zenon_H164. zenon_intro zenon_H28a. % 0.59/0.79 exact (zenon_H164 zenon_H4b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H283); [ zenon_intro zenon_H28c | zenon_intro zenon_H28b ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H28c). zenon_intro zenon_Hf9. zenon_intro zenon_H28d. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H28d). zenon_intro zenon_H28f. zenon_intro zenon_H28e. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H28e). zenon_intro zenon_H291. zenon_intro zenon_H290. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H290). zenon_intro zenon_H164. zenon_intro zenon_H292. % 0.59/0.79 exact (zenon_H164 zenon_H4b). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H28b); [ zenon_intro zenon_H294 | zenon_intro zenon_H293 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H294). zenon_intro zenon_H16d. zenon_intro zenon_H295. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H295). zenon_intro zenon_H176. zenon_intro zenon_H296. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H296). zenon_intro zenon_H17e. zenon_intro zenon_H297. % 0.59/0.79 exact (zenon_H17e zenon_H52). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H293); [ zenon_intro zenon_H299 | zenon_intro zenon_H298 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H299). zenon_intro zenon_Hfe. zenon_intro zenon_H29a. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H29a). zenon_intro zenon_H120. zenon_intro zenon_H29b. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H29b). zenon_intro zenon_H145. zenon_intro zenon_H29c. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H29c). zenon_intro zenon_H169. zenon_intro zenon_H188. % 0.59/0.79 exact (zenon_H169 zenon_H4d). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H298); [ zenon_intro zenon_H29e | zenon_intro zenon_H29d ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H29e). zenon_intro zenon_Hd5. zenon_intro zenon_H29f. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H29f). zenon_intro zenon_Hdb. zenon_intro zenon_H2a0. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a0). zenon_intro zenon_He1. zenon_intro zenon_H2a1. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a1). zenon_intro zenon_H184. zenon_intro zenon_H17. % 0.59/0.79 exact (zenon_H184 zenon_H53). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H29d); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2a2 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a3). zenon_intro zenon_H78. zenon_intro zenon_H2a4. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a4). zenon_intro zenon_H95. zenon_intro zenon_H2a5. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a5). zenon_intro zenon_H147. zenon_intro zenon_H2a6. % 0.59/0.79 exact (zenon_H147 zenon_H43). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a7 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a8). zenon_intro zenon_H170. zenon_intro zenon_H2a9. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2a9). zenon_intro zenon_H179. zenon_intro zenon_H2aa. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2aa). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2ab). zenon_intro zenon_H2ad. zenon_intro zenon_H18b. % 0.59/0.79 exact (zenon_H18b zenon_H13). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H2a7); [ zenon_intro zenon_H2af | zenon_intro zenon_H2ae ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2af). zenon_intro zenon_H101. zenon_intro zenon_H2b0. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2b0). zenon_intro zenon_H123. zenon_intro zenon_H2b1. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2b1). zenon_intro zenon_H2b3. zenon_intro zenon_H2b2. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2b2). zenon_intro zenon_H2b4. zenon_intro zenon_H18b. % 0.59/0.79 exact (zenon_H18b zenon_H13). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H2ae); [ zenon_intro zenon_H2b6 | zenon_intro zenon_H2b5 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2b6). zenon_intro zenon_H172. zenon_intro zenon_H2b7. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2b7). zenon_intro zenon_H10. zenon_intro zenon_H2b8. % 0.59/0.79 exact (zenon_H10 zenon_Hd). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H2b5); [ zenon_intro zenon_H2ba | zenon_intro zenon_H2b9 ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2ba). zenon_intro zenon_H103. zenon_intro zenon_H2bb. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2bb). zenon_intro zenon_H125. zenon_intro zenon_H2bc. % 0.59/0.79 exact (zenon_H125 zenon_H39). % 0.59/0.79 apply (zenon_notand_s _ _ zenon_H2b9); [ zenon_intro zenon_H2be | zenon_intro zenon_H2bd ]. % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2be). zenon_intro zenon_H171. zenon_intro zenon_H2bf. % 0.59/0.79 exact (zenon_H171 zenon_H4f). % 0.59/0.79 apply (zenon_notor_s _ _ zenon_H2bd). zenon_intro zenon_H102. zenon_intro zenon_H2c0. % 0.59/0.79 exact (zenon_H102 zenon_H2f). % 0.59/0.79 Qed. % 0.59/0.79 % SZS output end Proof % 0.59/0.79 (* END-PROOF *) % 0.59/0.79 nodes searched: 2674 % 0.59/0.79 max branch formulas: 160 % 0.59/0.79 proof nodes created: 384 % 0.59/0.79 formulas created: 8967 % 0.59/0.79 %------------------------------------------------------------------------------