%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG187+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n028.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 18:31:03 EDT 2022 % Result : Theorem 0.76s 0.98s % Output : Proof 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ALG187+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : run_zenon %s %d % 0.11/0.33 % Computer : n028.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Wed Jun 8 07:31:16 EDT 2022 % 0.11/0.33 % CPUTime : % 0.76/0.98 (* PROOF-FOUND *) % 0.76/0.98 % SZS status Theorem % 0.76/0.98 (* BEGIN-PROOF *) % 0.76/0.98 % SZS output start Proof % 0.76/0.98 Theorem co1 : ((((~((op (e0) (e0)) = (e0)))/\((~((op (e0) (e1)) = (e1)))/\((~((op (e0) (e2)) = (e2)))/\((~((op (e0) (e3)) = (e3)))/\(~((op (e0) (e4)) = (e4)))))))\/(((~((op (e1) (e0)) = (e0)))/\((~((op (e1) (e1)) = (e1)))/\((~((op (e1) (e2)) = (e2)))/\((~((op (e1) (e3)) = (e3)))/\(~((op (e1) (e4)) = (e4)))))))\/(((~((op (e2) (e0)) = (e0)))/\((~((op (e2) (e1)) = (e1)))/\((~((op (e2) (e2)) = (e2)))/\((~((op (e2) (e3)) = (e3)))/\(~((op (e2) (e4)) = (e4)))))))\/(((~((op (e3) (e0)) = (e0)))/\((~((op (e3) (e1)) = (e1)))/\((~((op (e3) (e2)) = (e2)))/\((~((op (e3) (e3)) = (e3)))/\(~((op (e3) (e4)) = (e4)))))))\/((~((op (e4) (e0)) = (e0)))/\((~((op (e4) (e1)) = (e1)))/\((~((op (e4) (e2)) = (e2)))/\((~((op (e4) (e3)) = (e3)))/\(~((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 (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))))))/\(((op (op (e0) (e0)) (op (e0) (e0))) = (e0))/\(((op (op (e1) (e0)) (op (e0) (e1))) = (e0))/\(((op (op (e2) (e0)) (op (e0) (e2))) = (e0))/\(((op (op (e3) (e0)) (op (e0) (e3))) = (e0))/\(((op (op (e4) (e0)) (op (e0) (e4))) = (e0))/\(((op (op (e0) (e1)) (op (e1) (e0))) = (e1))/\(((op (op (e1) (e1)) (op (e1) (e1))) = (e1))/\(((op (op (e2) (e1)) (op (e1) (e2))) = (e1))/\(((op (op (e3) (e1)) (op (e1) (e3))) = (e1))/\(((op (op (e4) (e1)) (op (e1) (e4))) = (e1))/\(((op (op (e0) (e2)) (op (e2) (e0))) = (e2))/\(((op (op (e1) (e2)) (op (e2) (e1))) = (e2))/\(((op (op (e2) (e2)) (op (e2) (e2))) = (e2))/\(((op (op (e3) (e2)) (op (e2) (e3))) = (e2))/\(((op (op (e4) (e2)) (op (e2) (e4))) = (e2))/\(((op (op (e0) (e3)) (op (e3) (e0))) = (e3))/\(((op (op (e1) (e3)) (op (e3) (e1))) = (e3))/\(((op (op (e2) (e3)) (op (e3) (e2))) = (e3))/\(((op (op (e3) (e3)) (op (e3) (e3))) = (e3))/\(((op (op (e4) (e3)) (op (e3) (e4))) = (e3))/\(((op (op (e0) (e4)) (op (e4) (e0))) = (e4))/\(((op (op (e1) (e4)) (op (e4) (e1))) = (e4))/\(((op (op (e2) (e4)) (op (e4) (e2))) = (e4))/\(((op (op (e3) (e4)) (op (e4) (e3))) = (e4))/\((op (op (e4) (e4)) (op (e4) (e4))) = (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.76/0.98 Proof. % 0.76/0.98 assert (zenon_L1_ : (~((e2) = (e2))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H3. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 (* end of lemma zenon_L1_ *) % 0.76/0.98 assert (zenon_L2_ : (~((e3) = (e3))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H4. % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 (* end of lemma zenon_L2_ *) % 0.76/0.98 assert (zenon_L3_ : (~((e1) = (e1))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H5. % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 (* end of lemma zenon_L3_ *) % 0.76/0.98 assert (zenon_L4_ : (~((e4) = (e4))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H6. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 (* end of lemma zenon_L4_ *) % 0.76/0.98 assert (zenon_L5_ : (~((e0) = (e0))) -> False). % 0.76/0.98 do 0 intro. intros zenon_H7. % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 (* end of lemma zenon_L5_ *) % 0.76/0.98 apply NNPP. intro zenon_G. % 0.76/0.98 apply (zenon_and_s _ _ ax1). zenon_intro zenon_H9. zenon_intro zenon_H8. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H8). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.76/0.98 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.76/0.98 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.76/0.98 apply (zenon_and_s _ _ ax2). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H38). zenon_intro zenon_H3b. zenon_intro zenon_H3a. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H3a). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H3c). zenon_intro zenon_H3f. zenon_intro zenon_H3e. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H3e). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.76/0.98 apply (zenon_and_s _ _ zenon_H46). zenon_intro zenon_H49. zenon_intro zenon_H48. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H4b | zenon_intro zenon_H4a ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H4b). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H50). zenon_intro zenon_H53. zenon_intro zenon_H52. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H52); [ zenon_intro zenon_H55 | zenon_intro zenon_H54 ]. % 0.76/0.98 apply zenon_H55. zenon_intro zenon_H56. % 0.76/0.98 cut (((op (e4) (e0)) = (e2)) = ((e0) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_Hb. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H43. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((op (e4) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H57]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H57 zenon_H56). % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H54); [ zenon_intro zenon_H59 | zenon_intro zenon_H58 ]. % 0.76/0.98 apply zenon_H59. zenon_intro zenon_H5a. % 0.76/0.98 cut (((op (e4) (e1)) = (e3)) = ((e1) = (e3))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H13. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H45. % 0.76/0.98 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.76/0.98 cut (((op (e4) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5b]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H5b zenon_H5a). % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H58); [ zenon_intro zenon_H5d | zenon_intro zenon_H5c ]. % 0.76/0.98 apply zenon_H5d. zenon_intro zenon_H5e. % 0.76/0.98 elim (classic ((e2) = (e2))); [ zenon_intro zenon_H5f | zenon_intro zenon_H3 ]. % 0.76/0.98 cut (((e2) = (e2)) = ((e1) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H11. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H5f. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((e2) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H60]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e2)) = (e1)) = ((e2) = (e1))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H60. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H47. % 0.76/0.98 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.76/0.98 cut (((op (e4) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H61]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H61 zenon_H5e). % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H5c); [ zenon_intro zenon_H63 | zenon_intro zenon_H62 ]. % 0.76/0.98 apply zenon_H63. zenon_intro zenon_H64. % 0.76/0.98 cut (((op (e4) (e3)) = (e4)) = ((e3) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H18. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H49. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((op (e4) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H65]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H65 zenon_H64). % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 apply zenon_H62. zenon_intro zenon_H66. % 0.76/0.98 elim (classic ((e4) = (e4))); [ zenon_intro zenon_H67 | zenon_intro zenon_H6 ]. % 0.76/0.98 cut (((e4) = (e4)) = ((e0) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_Hf. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H67. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((e4) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H68]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e4)) = (e0)) = ((e4) = (e0))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H68. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H48. % 0.76/0.98 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.76/0.98 cut (((op (e4) (e4)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H69]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H69 zenon_H66). % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H4a); [ zenon_intro zenon_H6b | zenon_intro zenon_H6a ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H6b). zenon_intro zenon_H6d. zenon_intro zenon_H6c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H6c). zenon_intro zenon_H6f. zenon_intro zenon_H6e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H6e). zenon_intro zenon_H71. zenon_intro zenon_H70. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H70). zenon_intro zenon_H73. zenon_intro zenon_H72. % 0.76/0.98 exact (zenon_H72 zenon_H1b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H6a); [ zenon_intro zenon_H75 | zenon_intro zenon_H74 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H77. zenon_intro zenon_H76. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H76). zenon_intro zenon_H79. zenon_intro zenon_H78. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H78). zenon_intro zenon_H7b. zenon_intro zenon_H7a. % 0.76/0.98 exact (zenon_H7b zenon_H1d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H74); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H7d). zenon_intro zenon_H7f. zenon_intro zenon_H7e. % 0.76/0.98 exact (zenon_H7f zenon_H1f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H7c); [ zenon_intro zenon_H81 | zenon_intro zenon_H80 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H81). zenon_intro zenon_H83. zenon_intro zenon_H82. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H82). zenon_intro zenon_H85. zenon_intro zenon_H84. % 0.76/0.98 exact (zenon_H85 zenon_H21). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H80); [ zenon_intro zenon_H87 | zenon_intro zenon_H86 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H87). zenon_intro zenon_H89. zenon_intro zenon_H88. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H88). zenon_intro zenon_H8b. zenon_intro zenon_H8a. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H8a). zenon_intro zenon_H8d. zenon_intro zenon_H8c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H8f. zenon_intro zenon_H8e. % 0.76/0.98 exact (zenon_H8f zenon_H23). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H86); [ zenon_intro zenon_H91 | zenon_intro zenon_H90 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H91). zenon_intro zenon_H93. zenon_intro zenon_H92. % 0.76/0.98 exact (zenon_H93 zenon_H25). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H90); [ zenon_intro zenon_H95 | zenon_intro zenon_H94 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H95). zenon_intro zenon_H97. zenon_intro zenon_H96. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H96). zenon_intro zenon_H99. zenon_intro zenon_H98. % 0.76/0.98 exact (zenon_H99 zenon_H27). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H94); [ zenon_intro zenon_H9b | zenon_intro zenon_H9a ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H9b). zenon_intro zenon_H9d. zenon_intro zenon_H9c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H9c). zenon_intro zenon_H9f. zenon_intro zenon_H9e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H9e). zenon_intro zenon_Ha1. zenon_intro zenon_Ha0. % 0.76/0.98 exact (zenon_Ha1 zenon_H29). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H9a); [ zenon_intro zenon_Ha3 | zenon_intro zenon_Ha2 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Ha3). zenon_intro zenon_Ha5. zenon_intro zenon_Ha4. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Ha4). zenon_intro zenon_Ha7. zenon_intro zenon_Ha6. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Ha6). zenon_intro zenon_Ha9. zenon_intro zenon_Ha8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Hab. zenon_intro zenon_Haa. % 0.76/0.98 exact (zenon_Hab zenon_H2b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Ha2); [ zenon_intro zenon_Had | zenon_intro zenon_Hac ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Had). zenon_intro zenon_Haf. zenon_intro zenon_Hae. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hae). zenon_intro zenon_Hb1. zenon_intro zenon_Hb0. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb3. zenon_intro zenon_Hb2. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hb2). zenon_intro zenon_Hb5. zenon_intro zenon_Hb4. % 0.76/0.98 exact (zenon_Hb4 zenon_H2d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hac); [ zenon_intro zenon_Hb7 | zenon_intro zenon_Hb6 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hb7). zenon_intro zenon_Hb9. zenon_intro zenon_Hb8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_Hbb. zenon_intro zenon_Hba. % 0.76/0.98 exact (zenon_Hbb zenon_H2f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hb6); [ zenon_intro zenon_Hbd | zenon_intro zenon_Hbc ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hbd). zenon_intro zenon_Hbf. zenon_intro zenon_Hbe. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hbe). zenon_intro zenon_Hc1. zenon_intro zenon_Hc0. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hc0). zenon_intro zenon_Hc3. zenon_intro zenon_Hc2. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hc2). zenon_intro zenon_Hc5. zenon_intro zenon_Hc4. % 0.76/0.98 exact (zenon_Hc4 zenon_H31). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hbc); [ zenon_intro zenon_Hc7 | zenon_intro zenon_Hc6 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hc7). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hc8). zenon_intro zenon_Hcb. zenon_intro zenon_Hca. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hca). zenon_intro zenon_Hcd. zenon_intro zenon_Hcc. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hcc). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 0.76/0.98 exact (zenon_Hcf zenon_H33). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hc6); [ zenon_intro zenon_Hd1 | zenon_intro zenon_Hd0 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hd1). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2. % 0.76/0.98 exact (zenon_Hd3 zenon_H35). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hd0); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hd5). zenon_intro zenon_Hd7. zenon_intro zenon_Hd6. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hd6). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hd8). zenon_intro zenon_Hdb. zenon_intro zenon_Hda. % 0.76/0.98 exact (zenon_Hdb zenon_H37). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hd4); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hdd). zenon_intro zenon_Hdf. zenon_intro zenon_Hde. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hde). zenon_intro zenon_He1. zenon_intro zenon_He0. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_He0). zenon_intro zenon_He3. zenon_intro zenon_He2. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_He2). zenon_intro zenon_He5. zenon_intro zenon_He4. % 0.76/0.98 exact (zenon_He5 zenon_H39). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hdc); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_He7). zenon_intro zenon_He9. zenon_intro zenon_He8. % 0.76/0.98 exact (zenon_He9 zenon_H3b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_He6); [ zenon_intro zenon_Heb | zenon_intro zenon_Hea ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Heb). zenon_intro zenon_Hed. zenon_intro zenon_Hec. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_Hef. zenon_intro zenon_Hee. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hee). zenon_intro zenon_Hf1. zenon_intro zenon_Hf0. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hf0). zenon_intro zenon_Hf3. zenon_intro zenon_Hf2. % 0.76/0.98 exact (zenon_Hf2 zenon_H3d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hea); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf4 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hf5). zenon_intro zenon_Hf7. zenon_intro zenon_Hf6. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hf6). zenon_intro zenon_Hf9. zenon_intro zenon_Hf8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hf8). zenon_intro zenon_Hfb. zenon_intro zenon_Hfa. % 0.76/0.98 exact (zenon_Hfb zenon_H3f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hf4); [ zenon_intro zenon_Hfd | zenon_intro zenon_Hfc ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_Hff. zenon_intro zenon_Hfe. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_Hfe). zenon_intro zenon_H101. zenon_intro zenon_H100. % 0.76/0.98 exact (zenon_H101 zenon_H41). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_Hfc); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H103). zenon_intro zenon_H57. zenon_intro zenon_H104. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H104). zenon_intro zenon_H106. zenon_intro zenon_H105. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 0.76/0.98 exact (zenon_H108 zenon_H43). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H102); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H10b). zenon_intro zenon_H5b. zenon_intro zenon_H10d. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H10d). zenon_intro zenon_H10f. zenon_intro zenon_H10e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H10e). zenon_intro zenon_H111. zenon_intro zenon_H110. % 0.76/0.98 exact (zenon_H111 zenon_H45). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H109); [ zenon_intro zenon_H113 | zenon_intro zenon_H112 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H113). zenon_intro zenon_H115. zenon_intro zenon_H114. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H114). zenon_intro zenon_H117. zenon_intro zenon_H116. % 0.76/0.98 exact (zenon_H117 zenon_H47). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H112); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H119). zenon_intro zenon_H11b. zenon_intro zenon_H11a. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H11a). zenon_intro zenon_H11d. zenon_intro zenon_H11c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H11c). zenon_intro zenon_H11f. zenon_intro zenon_H11e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H11e). zenon_intro zenon_H65. zenon_intro zenon_H120. % 0.76/0.98 exact (zenon_H120 zenon_H49). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H118); [ zenon_intro zenon_H122 | zenon_intro zenon_H121 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H122). zenon_intro zenon_H124. zenon_intro zenon_H123. % 0.76/0.98 exact (zenon_H124 zenon_H48). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H121); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H126). zenon_intro zenon_H6d. zenon_intro zenon_H127. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H127). zenon_intro zenon_H77. zenon_intro zenon_H128. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H128). zenon_intro zenon_H7f. zenon_intro zenon_H129. % 0.76/0.98 exact (zenon_H7f zenon_H1f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H125); [ zenon_intro zenon_H12b | zenon_intro zenon_H12a ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H12b). zenon_intro zenon_H6d. zenon_intro zenon_H12c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H12c). zenon_intro zenon_H93. zenon_intro zenon_H12d. % 0.76/0.98 exact (zenon_H93 zenon_H25). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H12a); [ zenon_intro zenon_H12f | zenon_intro zenon_H12e ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H12f). zenon_intro zenon_H6f. zenon_intro zenon_H130. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H130). zenon_intro zenon_H79. zenon_intro zenon_H131. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H131). zenon_intro zenon_H133. zenon_intro zenon_H132. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H132). zenon_intro zenon_H85. zenon_intro zenon_H8b. % 0.76/0.98 exact (zenon_H85 zenon_H21). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H12e); [ zenon_intro zenon_H135 | zenon_intro zenon_H134 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H135). zenon_intro zenon_H6f. zenon_intro zenon_H136. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H136). zenon_intro zenon_H138. zenon_intro zenon_H137. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H137). zenon_intro zenon_Hbb. zenon_intro zenon_H139. % 0.76/0.98 exact (zenon_Hbb zenon_H2f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H134); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H13b). zenon_intro zenon_H71. zenon_intro zenon_H13c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H13c). zenon_intro zenon_H7b. zenon_intro zenon_H13d. % 0.76/0.98 exact (zenon_H7b zenon_H1d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H13a); [ zenon_intro zenon_H13f | zenon_intro zenon_H13e ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H13f). zenon_intro zenon_H71. zenon_intro zenon_H140. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H140). zenon_intro zenon_H142. zenon_intro zenon_H141. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H141). zenon_intro zenon_H144. zenon_intro zenon_H143. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H143). zenon_intro zenon_He3. zenon_intro zenon_H108. % 0.76/0.98 exact (zenon_H108 zenon_H43). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H13e); [ zenon_intro zenon_H146 | zenon_intro zenon_H145 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H146). zenon_intro zenon_H73. zenon_intro zenon_H147. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H147). zenon_intro zenon_H149. zenon_intro zenon_H148. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H148). zenon_intro zenon_H14b. zenon_intro zenon_H14a. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H14a). zenon_intro zenon_H14c. zenon_intro zenon_H8f. % 0.76/0.98 exact (zenon_H8f zenon_H23). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H145); [ zenon_intro zenon_H14e | zenon_intro zenon_H14d ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H14e). zenon_intro zenon_H73. zenon_intro zenon_H14f. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H14f). zenon_intro zenon_H151. zenon_intro zenon_H150. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H150). zenon_intro zenon_H153. zenon_intro zenon_H152. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H152). zenon_intro zenon_He5. zenon_intro zenon_H154. % 0.76/0.98 exact (zenon_He5 zenon_H39). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H14d); [ zenon_intro zenon_H156 | zenon_intro zenon_H155 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H156). zenon_intro zenon_H72. zenon_intro zenon_H157. % 0.76/0.98 exact (zenon_H72 zenon_H1b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H155); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H159). zenon_intro zenon_H72. zenon_intro zenon_H15a. % 0.76/0.98 exact (zenon_H72 zenon_H1b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H158); [ zenon_intro zenon_H15c | zenon_intro zenon_H15b ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H15c). zenon_intro zenon_H93. zenon_intro zenon_H15d. % 0.76/0.98 exact (zenon_H93 zenon_H25). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H15b); [ zenon_intro zenon_H15f | zenon_intro zenon_H15e ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H15f). zenon_intro zenon_H77. zenon_intro zenon_H160. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H160). zenon_intro zenon_H97. zenon_intro zenon_H161. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H161). zenon_intro zenon_Hbf. zenon_intro zenon_H162. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H162). zenon_intro zenon_He9. zenon_intro zenon_H10c. % 0.76/0.98 exact (zenon_He9 zenon_H3b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H15e); [ zenon_intro zenon_H164 | zenon_intro zenon_H163 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H164). zenon_intro zenon_H138. zenon_intro zenon_H165. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H165). zenon_intro zenon_H99. zenon_intro zenon_H166. % 0.76/0.98 exact (zenon_H99 zenon_H27). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H163); [ zenon_intro zenon_H168 | zenon_intro zenon_H167 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H168). zenon_intro zenon_H79. zenon_intro zenon_H169. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H169). zenon_intro zenon_H99. zenon_intro zenon_H16a. % 0.76/0.98 exact (zenon_H99 zenon_H27). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H167); [ zenon_intro zenon_H16c | zenon_intro zenon_H16b ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H16c). zenon_intro zenon_H142. zenon_intro zenon_H16d. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H16d). zenon_intro zenon_H16f. zenon_intro zenon_H16e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H16e). zenon_intro zenon_Ha1. zenon_intro zenon_H170. % 0.76/0.98 exact (zenon_Ha1 zenon_H29). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H16b); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H172). zenon_intro zenon_H7b. zenon_intro zenon_H173. % 0.76/0.98 exact (zenon_H7b zenon_H1d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H171); [ zenon_intro zenon_H175 | zenon_intro zenon_H174 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H175). zenon_intro zenon_H151. zenon_intro zenon_H176. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H176). zenon_intro zenon_H178. zenon_intro zenon_H177. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H177). zenon_intro zenon_H17a. zenon_intro zenon_H179. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H179). zenon_intro zenon_Hab. zenon_intro zenon_Hb5. % 0.76/0.98 exact (zenon_Hab zenon_H2b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H174); [ zenon_intro zenon_H17c | zenon_intro zenon_H17b ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H17d. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H17d). zenon_intro zenon_H178. zenon_intro zenon_H17e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H17e). zenon_intro zenon_Hc5. zenon_intro zenon_H17f. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H17f). zenon_intro zenon_H180. zenon_intro zenon_H111. % 0.76/0.98 exact (zenon_H111 zenon_H45). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H17b); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H182). zenon_intro zenon_H184. zenon_intro zenon_H183. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H183). zenon_intro zenon_H186. zenon_intro zenon_H185. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H185). zenon_intro zenon_H188. zenon_intro zenon_H187. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H187). zenon_intro zenon_Haa. zenon_intro zenon_Hb4. % 0.76/0.98 exact (zenon_Hb4 zenon_H2d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H181); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H18a). zenon_intro zenon_H18c. zenon_intro zenon_H18b. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H18b). zenon_intro zenon_H186. zenon_intro zenon_H18d. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H18d). zenon_intro zenon_Hc4. zenon_intro zenon_H18e. % 0.76/0.98 exact (zenon_Hc4 zenon_H31). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H189); [ zenon_intro zenon_H190 | zenon_intro zenon_H18f ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H190). zenon_intro zenon_Hb9. zenon_intro zenon_H191. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H191). zenon_intro zenon_Hbf. zenon_intro zenon_H192. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H192). zenon_intro zenon_Hc9. zenon_intro zenon_H193. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H193). zenon_intro zenon_Hd3. zenon_intro zenon_Hd7. % 0.76/0.98 exact (zenon_Hd3 zenon_H35). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H18f); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H195). zenon_intro zenon_H7f. zenon_intro zenon_H196. % 0.76/0.98 exact (zenon_H7f zenon_H1f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H194); [ zenon_intro zenon_H198 | zenon_intro zenon_H197 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H198). zenon_intro zenon_Hbb. zenon_intro zenon_H199. % 0.76/0.98 exact (zenon_Hbb zenon_H2f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H197); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H19b). zenon_intro zenon_H133. zenon_intro zenon_H19c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H19c). zenon_intro zenon_H9f. zenon_intro zenon_H19d. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H19d). zenon_intro zenon_Hcb. zenon_intro zenon_H19e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H19e). zenon_intro zenon_Hef. zenon_intro zenon_H117. % 0.76/0.98 exact (zenon_H117 zenon_H47). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H19a); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H19f ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1a0). zenon_intro zenon_H144. zenon_intro zenon_H1a1. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1a1). zenon_intro zenon_Hc3. zenon_intro zenon_H1a2. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1a2). zenon_intro zenon_Hcd. zenon_intro zenon_H1a3. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1a3). zenon_intro zenon_H1a4. zenon_intro zenon_Hdb. % 0.76/0.98 exact (zenon_Hdb zenon_H37). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H19f); [ zenon_intro zenon_H1a6 | zenon_intro zenon_H1a5 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1a6). zenon_intro zenon_H1a8. zenon_intro zenon_H1a7. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1a7). zenon_intro zenon_Ha1. zenon_intro zenon_H1a9. % 0.76/0.98 exact (zenon_Ha1 zenon_H29). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1a5); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ab). zenon_intro zenon_H153. zenon_intro zenon_H1ac. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ac). zenon_intro zenon_Hc5. zenon_intro zenon_H1ad. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ad). zenon_intro zenon_Hcf. zenon_intro zenon_H1ae. % 0.76/0.98 exact (zenon_Hcf zenon_H33). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1aa); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1b0). zenon_intro zenon_H14b. zenon_intro zenon_H1b1. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1b1). zenon_intro zenon_H17a. zenon_intro zenon_H1b2. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1b2). zenon_intro zenon_Hcf. zenon_intro zenon_H1b3. % 0.76/0.98 exact (zenon_Hcf zenon_H33). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1af); [ zenon_intro zenon_H1b5 | zenon_intro zenon_H1b4 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1b5). zenon_intro zenon_H1b7. zenon_intro zenon_H1b6. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1b6). zenon_intro zenon_Hc4. zenon_intro zenon_H1b8. % 0.76/0.98 exact (zenon_Hc4 zenon_H31). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1b4); [ zenon_intro zenon_H1ba | zenon_intro zenon_H1b9 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ba). zenon_intro zenon_H1bc. zenon_intro zenon_H1bb. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1bb). zenon_intro zenon_H188. zenon_intro zenon_H1bd. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1bd). zenon_intro zenon_Hce. zenon_intro zenon_H1be. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1be). zenon_intro zenon_Hf2. zenon_intro zenon_H1bf. % 0.76/0.98 exact (zenon_Hf2 zenon_H3d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1b9); [ zenon_intro zenon_H1c1 | zenon_intro zenon_H1c0 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1c1). zenon_intro zenon_Hdf. zenon_intro zenon_H1c2. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1c2). zenon_intro zenon_He9. zenon_intro zenon_H1c3. % 0.76/0.98 exact (zenon_He9 zenon_H3b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1c0); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1c5). zenon_intro zenon_H83. zenon_intro zenon_H1c6. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1c6). zenon_intro zenon_Ha5. zenon_intro zenon_H1c7. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1c7). zenon_intro zenon_Hd3. zenon_intro zenon_H1c8. % 0.76/0.98 exact (zenon_Hd3 zenon_H35). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1c4); [ zenon_intro zenon_H1ca | zenon_intro zenon_H1c9 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ca). zenon_intro zenon_He1. zenon_intro zenon_H1cb. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1cb). zenon_intro zenon_H1cd. zenon_intro zenon_H1cc. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1cc). zenon_intro zenon_Hef. zenon_intro zenon_H1ce. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ce). zenon_intro zenon_Hf9. zenon_intro zenon_H101. % 0.76/0.98 exact (zenon_H101 zenon_H41). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1c9); [ zenon_intro zenon_H1d0 | zenon_intro zenon_H1cf ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1d0). zenon_intro zenon_H85. zenon_intro zenon_H1d1. % 0.76/0.98 exact (zenon_H85 zenon_H21). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d3 | zenon_intro zenon_H1d2 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1d3). zenon_intro zenon_He3. zenon_intro zenon_H1d4. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1d4). zenon_intro zenon_H1d6. zenon_intro zenon_H1d5. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1d5). zenon_intro zenon_Hf1. zenon_intro zenon_H1d7. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1d7). zenon_intro zenon_Hfb. zenon_intro zenon_H1d8. % 0.76/0.98 exact (zenon_Hfb zenon_H3f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1d2); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_H1dc. zenon_intro zenon_H1db. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1db). zenon_intro zenon_Ha9. zenon_intro zenon_H1dd. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1dd). zenon_intro zenon_H1a4. zenon_intro zenon_H1de. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1de). zenon_intro zenon_Hfb. zenon_intro zenon_H11f. % 0.76/0.98 exact (zenon_Hfb zenon_H3f). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1d9); [ zenon_intro zenon_H1e0 | zenon_intro zenon_H1df ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1e0). zenon_intro zenon_He5. zenon_intro zenon_H1e1. % 0.76/0.98 exact (zenon_He5 zenon_H39). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1df); [ zenon_intro zenon_H1e3 | zenon_intro zenon_H1e2 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1e3). zenon_intro zenon_H14c. zenon_intro zenon_H1e4. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1e4). zenon_intro zenon_Hab. zenon_intro zenon_H1e5. % 0.76/0.98 exact (zenon_Hab zenon_H2b). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1e2); [ zenon_intro zenon_H1e7 | zenon_intro zenon_H1e6 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1e7). zenon_intro zenon_He4. zenon_intro zenon_H1e8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1e8). zenon_intro zenon_H1ea. zenon_intro zenon_H1e9. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1e9). zenon_intro zenon_Hf2. zenon_intro zenon_H1eb. % 0.76/0.98 exact (zenon_Hf2 zenon_H3d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1e6); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ed). zenon_intro zenon_H1ef. zenon_intro zenon_H1ee. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ee). zenon_intro zenon_Haa. zenon_intro zenon_H1f0. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1f0). zenon_intro zenon_H1f2. zenon_intro zenon_H1f1. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1f1). zenon_intro zenon_H1f3. zenon_intro zenon_H120. % 0.76/0.98 exact (zenon_H120 zenon_H49). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1ec); [ zenon_intro zenon_H1f5 | zenon_intro zenon_H1f4 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1f5). zenon_intro zenon_H57. zenon_intro zenon_H1f6. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1f6). zenon_intro zenon_H10c. zenon_intro zenon_H1f7. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_H115. zenon_intro zenon_H1f8. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1f8). zenon_intro zenon_H11b. zenon_intro zenon_H124. % 0.76/0.98 exact (zenon_H124 zenon_H48). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1f4); [ zenon_intro zenon_H1fa | zenon_intro zenon_H1f9 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1fa). zenon_intro zenon_H89. zenon_intro zenon_H1fb. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1fb). zenon_intro zenon_Haf. zenon_intro zenon_H1fc. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1fc). zenon_intro zenon_Hd7. zenon_intro zenon_H1fd. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1fd). zenon_intro zenon_Hff. zenon_intro zenon_H124. % 0.76/0.98 exact (zenon_H124 zenon_H48). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1f9); [ zenon_intro zenon_H1ff | zenon_intro zenon_H1fe ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H1ff). zenon_intro zenon_H106. zenon_intro zenon_H200. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H200). zenon_intro zenon_H5b. zenon_intro zenon_H201. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H201). zenon_intro zenon_H117. zenon_intro zenon_H202. % 0.76/0.98 exact (zenon_H117 zenon_H47). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H1fe); [ zenon_intro zenon_H204 | zenon_intro zenon_H203 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H204). zenon_intro zenon_H8b. zenon_intro zenon_H205. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H205). zenon_intro zenon_Hb1. zenon_intro zenon_H206. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H206). zenon_intro zenon_Hd9. zenon_intro zenon_H207. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H207). zenon_intro zenon_H101. zenon_intro zenon_H208. % 0.76/0.98 exact (zenon_H101 zenon_H41). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H203); [ zenon_intro zenon_H20a | zenon_intro zenon_H209 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H20a). zenon_intro zenon_H108. zenon_intro zenon_H20b. % 0.76/0.98 exact (zenon_H108 zenon_H43). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H209); [ zenon_intro zenon_H20d | zenon_intro zenon_H20c ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H20d). zenon_intro zenon_H8d. zenon_intro zenon_H20e. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H20e). zenon_intro zenon_Hb3. zenon_intro zenon_H20f. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H20f). zenon_intro zenon_Hdb. zenon_intro zenon_H210. % 0.76/0.98 exact (zenon_Hdb zenon_H37). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H20c); [ zenon_intro zenon_H212 | zenon_intro zenon_H211 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H212). zenon_intro zenon_H154. zenon_intro zenon_H213. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H213). zenon_intro zenon_H111. zenon_intro zenon_H214. % 0.76/0.98 exact (zenon_H111 zenon_H45). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H211); [ zenon_intro zenon_H216 | zenon_intro zenon_H215 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H216). zenon_intro zenon_H8f. zenon_intro zenon_H217. % 0.76/0.98 exact (zenon_H8f zenon_H23). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H215); [ zenon_intro zenon_H219 | zenon_intro zenon_H218 ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H219). zenon_intro zenon_H21b. zenon_intro zenon_H21a. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H21a). zenon_intro zenon_H110. zenon_intro zenon_H21c. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H21c). zenon_intro zenon_H1bf. zenon_intro zenon_H21d. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H21d). zenon_intro zenon_H120. zenon_intro zenon_H69. % 0.76/0.98 exact (zenon_H120 zenon_H49). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H218); [ zenon_intro zenon_H21f | zenon_intro zenon_H21e ]. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H8e. zenon_intro zenon_H220. % 0.76/0.98 apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_Hb4. zenon_intro zenon_H221. % 0.76/0.98 exact (zenon_Hb4 zenon_H2d). % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H21e); [ zenon_intro zenon_H223 | zenon_intro zenon_H222 ]. % 0.76/0.98 cut (((op (e4) (e4)) = (e0)) = ((op (op (e0) (e0)) (op (e0) (e0))) = (e0))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H223. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H48. % 0.76/0.98 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.76/0.98 cut (((op (e4) (e4)) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H224]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [ zenon_intro zenon_H225 | zenon_intro zenon_H226 ]. % 0.76/0.98 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0)))) = ((op (e4) (e4)) = (op (op (e0) (e0)) (op (e0) (e0))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H224. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H225. % 0.76/0.98 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (op (e0) (e0)) (op (e0) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H226]. % 0.76/0.98 cut (((op (op (e0) (e0)) (op (e0) (e0))) = (op (e4) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H227]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e0) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 0.76/0.98 cut (((op (e0) (e0)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H72]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H72 zenon_H1b). % 0.76/0.98 exact (zenon_H72 zenon_H1b). % 0.76/0.98 apply zenon_H226. apply refl_equal. % 0.76/0.98 apply zenon_H226. apply refl_equal. % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H222); [ zenon_intro zenon_H229 | zenon_intro zenon_H228 ]. % 0.76/0.98 cut (((op (e0) (e2)) = (e0)) = ((op (op (e1) (e0)) (op (e0) (e1))) = (e0))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H229. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H1f. % 0.76/0.98 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.76/0.98 cut (((op (e0) (e2)) = (op (op (e1) (e0)) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H22a]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e1) (e0)) (op (e0) (e1))) = (op (op (e1) (e0)) (op (e0) (e1))))); [ zenon_intro zenon_H22b | zenon_intro zenon_H22c ]. % 0.76/0.98 cut (((op (op (e1) (e0)) (op (e0) (e1))) = (op (op (e1) (e0)) (op (e0) (e1)))) = ((op (e0) (e2)) = (op (op (e1) (e0)) (op (e0) (e1))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H22a. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H22b. % 0.76/0.98 cut (((op (op (e1) (e0)) (op (e0) (e1))) = (op (op (e1) (e0)) (op (e0) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H22c]. % 0.76/0.98 cut (((op (op (e1) (e0)) (op (e0) (e1))) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H22d]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 0.76/0.98 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H93 zenon_H25). % 0.76/0.98 exact (zenon_H7b zenon_H1d). % 0.76/0.98 apply zenon_H22c. apply refl_equal. % 0.76/0.98 apply zenon_H22c. apply refl_equal. % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H228); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.76/0.98 cut (((op (e1) (e0)) = (e0)) = ((op (op (e2) (e0)) (op (e0) (e2))) = (e0))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H22f. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H25. % 0.76/0.98 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.76/0.98 cut (((op (e1) (e0)) = (op (op (e2) (e0)) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H230]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e2) (e0)) (op (e0) (e2))) = (op (op (e2) (e0)) (op (e0) (e2))))); [ zenon_intro zenon_H231 | zenon_intro zenon_H232 ]. % 0.76/0.98 cut (((op (op (e2) (e0)) (op (e0) (e2))) = (op (op (e2) (e0)) (op (e0) (e2)))) = ((op (e1) (e0)) = (op (op (e2) (e0)) (op (e0) (e2))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H230. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H231. % 0.76/0.98 cut (((op (op (e2) (e0)) (op (e0) (e2))) = (op (op (e2) (e0)) (op (e0) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H232]. % 0.76/0.98 cut (((op (op (e2) (e0)) (op (e0) (e2))) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H233]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e0) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 0.76/0.98 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hbb zenon_H2f). % 0.76/0.98 exact (zenon_H7f zenon_H1f). % 0.76/0.98 apply zenon_H232. apply refl_equal. % 0.76/0.98 apply zenon_H232. apply refl_equal. % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H22e); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ]. % 0.76/0.98 cut (((op (e3) (e1)) = (e0)) = ((op (op (e3) (e0)) (op (e0) (e3))) = (e0))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H235. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H3b. % 0.76/0.98 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.76/0.98 cut (((op (e3) (e1)) = (op (op (e3) (e0)) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H236]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e3) (e0)) (op (e0) (e3))) = (op (op (e3) (e0)) (op (e0) (e3))))); [ zenon_intro zenon_H237 | zenon_intro zenon_H238 ]. % 0.76/0.98 cut (((op (op (e3) (e0)) (op (e0) (e3))) = (op (op (e3) (e0)) (op (e0) (e3)))) = ((op (e3) (e1)) = (op (op (e3) (e0)) (op (e0) (e3))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H236. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H237. % 0.76/0.98 cut (((op (op (e3) (e0)) (op (e0) (e3))) = (op (op (e3) (e0)) (op (e0) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H238]. % 0.76/0.98 cut (((op (op (e3) (e0)) (op (e0) (e3))) = (op (e3) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H239]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 0.76/0.98 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_He5 zenon_H39). % 0.76/0.98 exact (zenon_H85 zenon_H21). % 0.76/0.98 apply zenon_H238. apply refl_equal. % 0.76/0.98 apply zenon_H238. apply refl_equal. % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H234); [ zenon_intro zenon_H23b | zenon_intro zenon_H23a ]. % 0.76/0.98 cut (((op (e2) (e3)) = (e0)) = ((op (op (e4) (e0)) (op (e0) (e4))) = (e0))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H23b. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H35. % 0.76/0.98 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.76/0.98 cut (((op (e2) (e3)) = (op (op (e4) (e0)) (op (e0) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H23c]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e4) (e0)) (op (e0) (e4))) = (op (op (e4) (e0)) (op (e0) (e4))))); [ zenon_intro zenon_H23d | zenon_intro zenon_H23e ]. % 0.76/0.98 cut (((op (op (e4) (e0)) (op (e0) (e4))) = (op (op (e4) (e0)) (op (e0) (e4)))) = ((op (e2) (e3)) = (op (op (e4) (e0)) (op (e0) (e4))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H23c. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H23d. % 0.76/0.98 cut (((op (op (e4) (e0)) (op (e0) (e4))) = (op (op (e4) (e0)) (op (e0) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H23e]. % 0.76/0.98 cut (((op (op (e4) (e0)) (op (e0) (e4))) = (op (e2) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H23f]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e0) (e4)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 0.76/0.98 cut (((op (e4) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H108 zenon_H43). % 0.76/0.98 exact (zenon_H8f zenon_H23). % 0.76/0.98 apply zenon_H23e. apply refl_equal. % 0.76/0.98 apply zenon_H23e. apply refl_equal. % 0.76/0.98 apply zenon_H7. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H23a); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.76/0.98 cut (((op (e2) (e0)) = (e1)) = ((op (op (e0) (e1)) (op (e1) (e0))) = (e1))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H241. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2f. % 0.76/0.98 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.76/0.98 cut (((op (e2) (e0)) = (op (op (e0) (e1)) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H242]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e0) (e1)) (op (e1) (e0))) = (op (op (e0) (e1)) (op (e1) (e0))))); [ zenon_intro zenon_H243 | zenon_intro zenon_H244 ]. % 0.76/0.98 cut (((op (op (e0) (e1)) (op (e1) (e0))) = (op (op (e0) (e1)) (op (e1) (e0)))) = ((op (e2) (e0)) = (op (op (e0) (e1)) (op (e1) (e0))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H242. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H243. % 0.76/0.98 cut (((op (op (e0) (e1)) (op (e1) (e0))) = (op (op (e0) (e1)) (op (e1) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H244]. % 0.76/0.98 cut (((op (op (e0) (e1)) (op (e1) (e0))) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H245]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e1) (e0)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H93]. % 0.76/0.98 cut (((op (e0) (e1)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7b]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H7b zenon_H1d). % 0.76/0.98 exact (zenon_H93 zenon_H25). % 0.76/0.98 apply zenon_H244. apply refl_equal. % 0.76/0.98 apply zenon_H244. apply refl_equal. % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H240); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.76/0.98 cut (((op (e1) (e1)) = (e1)) = ((op (op (e1) (e1)) (op (e1) (e1))) = (e1))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H247. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H27. % 0.76/0.98 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.76/0.98 cut (((op (e1) (e1)) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H248]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [ zenon_intro zenon_H249 | zenon_intro zenon_H24a ]. % 0.76/0.98 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1)))) = ((op (e1) (e1)) = (op (op (e1) (e1)) (op (e1) (e1))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H248. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H249. % 0.76/0.98 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (op (e1) (e1)) (op (e1) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H24a]. % 0.76/0.98 cut (((op (op (e1) (e1)) (op (e1) (e1))) = (op (e1) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H24b]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 0.76/0.98 cut (((op (e1) (e1)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H99]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H99 zenon_H27). % 0.76/0.98 exact (zenon_H99 zenon_H27). % 0.76/0.98 apply zenon_H24a. apply refl_equal. % 0.76/0.98 apply zenon_H24a. apply refl_equal. % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H246); [ zenon_intro zenon_H24d | zenon_intro zenon_H24c ]. % 0.76/0.98 cut (((op (e4) (e2)) = (e1)) = ((op (op (e2) (e1)) (op (e1) (e2))) = (e1))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H24d. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H47. % 0.76/0.98 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.76/0.98 cut (((op (e4) (e2)) = (op (op (e2) (e1)) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H24e]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e2) (e1)) (op (e1) (e2))) = (op (op (e2) (e1)) (op (e1) (e2))))); [ zenon_intro zenon_H24f | zenon_intro zenon_H250 ]. % 0.76/0.98 cut (((op (op (e2) (e1)) (op (e1) (e2))) = (op (op (e2) (e1)) (op (e1) (e2)))) = ((op (e4) (e2)) = (op (op (e2) (e1)) (op (e1) (e2))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H24e. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H24f. % 0.76/0.98 cut (((op (op (e2) (e1)) (op (e1) (e2))) = (op (op (e2) (e1)) (op (e1) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H250]. % 0.76/0.98 cut (((op (op (e2) (e1)) (op (e1) (e2))) = (op (e4) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H251]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 0.76/0.98 cut (((op (e2) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hc4 zenon_H31). % 0.76/0.98 exact (zenon_Ha1 zenon_H29). % 0.76/0.98 apply zenon_H250. apply refl_equal. % 0.76/0.98 apply zenon_H250. apply refl_equal. % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H24c); [ zenon_intro zenon_H253 | zenon_intro zenon_H252 ]. % 0.76/0.98 cut (((op (e0) (e3)) = (e1)) = ((op (op (e3) (e1)) (op (e1) (e3))) = (e1))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H253. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H21. % 0.76/0.98 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.76/0.98 cut (((op (e0) (e3)) = (op (op (e3) (e1)) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H254]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e3) (e1)) (op (e1) (e3))) = (op (op (e3) (e1)) (op (e1) (e3))))); [ zenon_intro zenon_H255 | zenon_intro zenon_H256 ]. % 0.76/0.98 cut (((op (op (e3) (e1)) (op (e1) (e3))) = (op (op (e3) (e1)) (op (e1) (e3)))) = ((op (e0) (e3)) = (op (op (e3) (e1)) (op (e1) (e3))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H254. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H255. % 0.76/0.98 cut (((op (op (e3) (e1)) (op (e1) (e3))) = (op (op (e3) (e1)) (op (e1) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H256]. % 0.76/0.98 cut (((op (op (e3) (e1)) (op (e1) (e3))) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H257]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 0.76/0.98 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_He9 zenon_H3b). % 0.76/0.98 exact (zenon_Hab zenon_H2b). % 0.76/0.98 apply zenon_H256. apply refl_equal. % 0.76/0.98 apply zenon_H256. apply refl_equal. % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H252); [ zenon_intro zenon_H259 | zenon_intro zenon_H258 ]. % 0.76/0.98 cut (((op (e3) (e4)) = (e1)) = ((op (op (e4) (e1)) (op (e1) (e4))) = (e1))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H259. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H41. % 0.76/0.98 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.76/0.98 cut (((op (e3) (e4)) = (op (op (e4) (e1)) (op (e1) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H25a]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e4) (e1)) (op (e1) (e4))) = (op (op (e4) (e1)) (op (e1) (e4))))); [ zenon_intro zenon_H25b | zenon_intro zenon_H25c ]. % 0.76/0.98 cut (((op (op (e4) (e1)) (op (e1) (e4))) = (op (op (e4) (e1)) (op (e1) (e4)))) = ((op (e3) (e4)) = (op (op (e4) (e1)) (op (e1) (e4))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H25a. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H25b. % 0.76/0.98 cut (((op (op (e4) (e1)) (op (e1) (e4))) = (op (op (e4) (e1)) (op (e1) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H25c]. % 0.76/0.98 cut (((op (op (e4) (e1)) (op (e1) (e4))) = (op (e3) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H25d]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e1) (e4)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 0.76/0.98 cut (((op (e4) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H111 zenon_H45). % 0.76/0.98 exact (zenon_Hb4 zenon_H2d). % 0.76/0.98 apply zenon_H25c. apply refl_equal. % 0.76/0.98 apply zenon_H25c. apply refl_equal. % 0.76/0.98 apply zenon_H5. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H258); [ zenon_intro zenon_H25f | zenon_intro zenon_H25e ]. % 0.76/0.98 cut (((op (e0) (e1)) = (e2)) = ((op (op (e0) (e2)) (op (e2) (e0))) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H25f. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H1d. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((op (e0) (e1)) = (op (op (e0) (e2)) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H260]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e0) (e2)) (op (e2) (e0))) = (op (op (e0) (e2)) (op (e2) (e0))))); [ zenon_intro zenon_H261 | zenon_intro zenon_H262 ]. % 0.76/0.98 cut (((op (op (e0) (e2)) (op (e2) (e0))) = (op (op (e0) (e2)) (op (e2) (e0)))) = ((op (e0) (e1)) = (op (op (e0) (e2)) (op (e2) (e0))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H260. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H261. % 0.76/0.98 cut (((op (op (e0) (e2)) (op (e2) (e0))) = (op (op (e0) (e2)) (op (e2) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H262]. % 0.76/0.98 cut (((op (op (e0) (e2)) (op (e2) (e0))) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H263]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e2) (e0)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_Hbb]. % 0.76/0.98 cut (((op (e0) (e2)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H7f]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H7f zenon_H1f). % 0.76/0.98 exact (zenon_Hbb zenon_H2f). % 0.76/0.98 apply zenon_H262. apply refl_equal. % 0.76/0.98 apply zenon_H262. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H25e); [ zenon_intro zenon_H265 | zenon_intro zenon_H264 ]. % 0.76/0.98 cut (((op (e2) (e4)) = (e2)) = ((op (op (e1) (e2)) (op (e2) (e1))) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H265. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H37. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((op (e2) (e4)) = (op (op (e1) (e2)) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H266]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e1) (e2)) (op (e2) (e1))) = (op (op (e1) (e2)) (op (e2) (e1))))); [ zenon_intro zenon_H267 | zenon_intro zenon_H268 ]. % 0.76/0.98 cut (((op (op (e1) (e2)) (op (e2) (e1))) = (op (op (e1) (e2)) (op (e2) (e1)))) = ((op (e2) (e4)) = (op (op (e1) (e2)) (op (e2) (e1))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H266. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H267. % 0.76/0.98 cut (((op (op (e1) (e2)) (op (e2) (e1))) = (op (op (e1) (e2)) (op (e2) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H268]. % 0.76/0.98 cut (((op (op (e1) (e2)) (op (e2) (e1))) = (op (e2) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H269]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e2) (e1)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hc4]. % 0.76/0.98 cut (((op (e1) (e2)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Ha1]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Ha1 zenon_H29). % 0.76/0.98 exact (zenon_Hc4 zenon_H31). % 0.76/0.98 apply zenon_H268. apply refl_equal. % 0.76/0.98 apply zenon_H268. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H264); [ zenon_intro zenon_H26b | zenon_intro zenon_H26a ]. % 0.76/0.98 cut (((op (e3) (e3)) = (e2)) = ((op (op (e2) (e2)) (op (e2) (e2))) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H26b. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H3f. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((op (e3) (e3)) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H26c]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [ zenon_intro zenon_H26d | zenon_intro zenon_H26e ]. % 0.76/0.98 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2)))) = ((op (e3) (e3)) = (op (op (e2) (e2)) (op (e2) (e2))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H26c. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H26d. % 0.76/0.98 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (op (e2) (e2)) (op (e2) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H26e]. % 0.76/0.98 cut (((op (op (e2) (e2)) (op (e2) (e2))) = (op (e3) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H26f]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 0.76/0.98 cut (((op (e2) (e2)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hcf]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hcf zenon_H33). % 0.76/0.98 exact (zenon_Hcf zenon_H33). % 0.76/0.98 apply zenon_H26e. apply refl_equal. % 0.76/0.98 apply zenon_H26e. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H26a); [ zenon_intro zenon_H271 | zenon_intro zenon_H270 ]. % 0.76/0.98 cut (((op (e4) (e0)) = (e2)) = ((op (op (e3) (e2)) (op (e2) (e3))) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H271. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H43. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((op (e4) (e0)) = (op (op (e3) (e2)) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H272]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e3) (e2)) (op (e2) (e3))) = (op (op (e3) (e2)) (op (e2) (e3))))); [ zenon_intro zenon_H273 | zenon_intro zenon_H274 ]. % 0.76/0.98 cut (((op (op (e3) (e2)) (op (e2) (e3))) = (op (op (e3) (e2)) (op (e2) (e3)))) = ((op (e4) (e0)) = (op (op (e3) (e2)) (op (e2) (e3))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H272. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H273. % 0.76/0.98 cut (((op (op (e3) (e2)) (op (e2) (e3))) = (op (op (e3) (e2)) (op (e2) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H274]. % 0.76/0.98 cut (((op (op (e3) (e2)) (op (e2) (e3))) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H275]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 0.76/0.98 cut (((op (e3) (e2)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hf2 zenon_H3d). % 0.76/0.98 exact (zenon_Hd3 zenon_H35). % 0.76/0.98 apply zenon_H274. apply refl_equal. % 0.76/0.98 apply zenon_H274. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H270); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.76/0.98 cut (((op (e1) (e2)) = (e2)) = ((op (op (e4) (e2)) (op (e2) (e4))) = (e2))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H277. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H29. % 0.76/0.98 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H3]. % 0.76/0.98 cut (((op (e1) (e2)) = (op (op (e4) (e2)) (op (e2) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H278]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e4) (e2)) (op (e2) (e4))) = (op (op (e4) (e2)) (op (e2) (e4))))); [ zenon_intro zenon_H279 | zenon_intro zenon_H27a ]. % 0.76/0.98 cut (((op (op (e4) (e2)) (op (e2) (e4))) = (op (op (e4) (e2)) (op (e2) (e4)))) = ((op (e1) (e2)) = (op (op (e4) (e2)) (op (e2) (e4))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H278. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H279. % 0.76/0.98 cut (((op (op (e4) (e2)) (op (e2) (e4))) = (op (op (e4) (e2)) (op (e2) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H27a]. % 0.76/0.98 cut (((op (op (e4) (e2)) (op (e2) (e4))) = (op (e1) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H27b]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e2) (e4)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 0.76/0.98 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H117 zenon_H47). % 0.76/0.98 exact (zenon_Hdb zenon_H37). % 0.76/0.98 apply zenon_H27a. apply refl_equal. % 0.76/0.98 apply zenon_H27a. apply refl_equal. % 0.76/0.98 apply zenon_H3. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H276); [ zenon_intro zenon_H27d | zenon_intro zenon_H27c ]. % 0.76/0.98 cut (((op (e1) (e3)) = (e3)) = ((op (op (e0) (e3)) (op (e3) (e0))) = (e3))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H27d. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2b. % 0.76/0.98 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.76/0.98 cut (((op (e1) (e3)) = (op (op (e0) (e3)) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H27e]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e0) (e3)) (op (e3) (e0))) = (op (op (e0) (e3)) (op (e3) (e0))))); [ zenon_intro zenon_H27f | zenon_intro zenon_H280 ]. % 0.76/0.98 cut (((op (op (e0) (e3)) (op (e3) (e0))) = (op (op (e0) (e3)) (op (e3) (e0)))) = ((op (e1) (e3)) = (op (op (e0) (e3)) (op (e3) (e0))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H27e. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H27f. % 0.76/0.98 cut (((op (op (e0) (e3)) (op (e3) (e0))) = (op (op (e0) (e3)) (op (e3) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H280]. % 0.76/0.98 cut (((op (op (e0) (e3)) (op (e3) (e0))) = (op (e1) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H281]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e3) (e0)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_He5]. % 0.76/0.98 cut (((op (e0) (e3)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H85]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H85 zenon_H21). % 0.76/0.98 exact (zenon_He5 zenon_H39). % 0.76/0.98 apply zenon_H280. apply refl_equal. % 0.76/0.98 apply zenon_H280. apply refl_equal. % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H27c); [ zenon_intro zenon_H283 | zenon_intro zenon_H282 ]. % 0.76/0.98 cut (((op (e3) (e0)) = (e3)) = ((op (op (e1) (e3)) (op (e3) (e1))) = (e3))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H283. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H39. % 0.76/0.98 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.76/0.98 cut (((op (e3) (e0)) = (op (op (e1) (e3)) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H284]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e1) (e3)) (op (e3) (e1))) = (op (op (e1) (e3)) (op (e3) (e1))))); [ zenon_intro zenon_H285 | zenon_intro zenon_H286 ]. % 0.76/0.98 cut (((op (op (e1) (e3)) (op (e3) (e1))) = (op (op (e1) (e3)) (op (e3) (e1)))) = ((op (e3) (e0)) = (op (op (e1) (e3)) (op (e3) (e1))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H284. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H285. % 0.76/0.98 cut (((op (op (e1) (e3)) (op (e3) (e1))) = (op (op (e1) (e3)) (op (e3) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H286]. % 0.76/0.98 cut (((op (op (e1) (e3)) (op (e3) (e1))) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H287]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e3) (e1)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_He9]. % 0.76/0.98 cut (((op (e1) (e3)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_Hab]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hab zenon_H2b). % 0.76/0.98 exact (zenon_He9 zenon_H3b). % 0.76/0.98 apply zenon_H286. apply refl_equal. % 0.76/0.98 apply zenon_H286. apply refl_equal. % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H282); [ zenon_intro zenon_H289 | zenon_intro zenon_H288 ]. % 0.76/0.98 cut (((op (e0) (e4)) = (e3)) = ((op (op (e2) (e3)) (op (e3) (e2))) = (e3))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H289. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H23. % 0.76/0.98 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.76/0.98 cut (((op (e0) (e4)) = (op (op (e2) (e3)) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H28a]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e2) (e3)) (op (e3) (e2))) = (op (op (e2) (e3)) (op (e3) (e2))))); [ zenon_intro zenon_H28b | zenon_intro zenon_H28c ]. % 0.76/0.98 cut (((op (op (e2) (e3)) (op (e3) (e2))) = (op (op (e2) (e3)) (op (e3) (e2)))) = ((op (e0) (e4)) = (op (op (e2) (e3)) (op (e3) (e2))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H28a. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H28b. % 0.76/0.98 cut (((op (op (e2) (e3)) (op (e3) (e2))) = (op (op (e2) (e3)) (op (e3) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H28c]. % 0.76/0.98 cut (((op (op (e2) (e3)) (op (e3) (e2))) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H28d]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e3) (e2)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hf2]. % 0.76/0.98 cut (((op (e2) (e3)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_Hd3]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hd3 zenon_H35). % 0.76/0.98 exact (zenon_Hf2 zenon_H3d). % 0.76/0.98 apply zenon_H28c. apply refl_equal. % 0.76/0.98 apply zenon_H28c. apply refl_equal. % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H288); [ zenon_intro zenon_H28f | zenon_intro zenon_H28e ]. % 0.76/0.98 cut (((op (e2) (e2)) = (e3)) = ((op (op (e3) (e3)) (op (e3) (e3))) = (e3))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H28f. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H33. % 0.76/0.98 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.76/0.98 cut (((op (e2) (e2)) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H290]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [ zenon_intro zenon_H291 | zenon_intro zenon_H292 ]. % 0.76/0.98 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3)))) = ((op (e2) (e2)) = (op (op (e3) (e3)) (op (e3) (e3))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H290. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H291. % 0.76/0.98 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (op (e3) (e3)) (op (e3) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H292]. % 0.76/0.98 cut (((op (op (e3) (e3)) (op (e3) (e3))) = (op (e2) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H293]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 0.76/0.98 cut (((op (e3) (e3)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hfb]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hfb zenon_H3f). % 0.76/0.98 exact (zenon_Hfb zenon_H3f). % 0.76/0.98 apply zenon_H292. apply refl_equal. % 0.76/0.98 apply zenon_H292. apply refl_equal. % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H28e); [ zenon_intro zenon_H295 | zenon_intro zenon_H294 ]. % 0.76/0.98 cut (((op (e4) (e1)) = (e3)) = ((op (op (e4) (e3)) (op (e3) (e4))) = (e3))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H295. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H45. % 0.76/0.98 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.76/0.98 cut (((op (e4) (e1)) = (op (op (e4) (e3)) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H296]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e4) (e3)) (op (e3) (e4))) = (op (op (e4) (e3)) (op (e3) (e4))))); [ zenon_intro zenon_H297 | zenon_intro zenon_H298 ]. % 0.76/0.98 cut (((op (op (e4) (e3)) (op (e3) (e4))) = (op (op (e4) (e3)) (op (e3) (e4)))) = ((op (e4) (e1)) = (op (op (e4) (e3)) (op (e3) (e4))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H296. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H297. % 0.76/0.98 cut (((op (op (e4) (e3)) (op (e3) (e4))) = (op (op (e4) (e3)) (op (e3) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H298]. % 0.76/0.98 cut (((op (op (e4) (e3)) (op (e3) (e4))) = (op (e4) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H299]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 0.76/0.98 cut (((op (e4) (e3)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H120 zenon_H49). % 0.76/0.98 exact (zenon_H101 zenon_H41). % 0.76/0.98 apply zenon_H298. apply refl_equal. % 0.76/0.98 apply zenon_H298. apply refl_equal. % 0.76/0.98 apply zenon_H4. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H294); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.76/0.98 cut (((op (e3) (e2)) = (e4)) = ((op (op (e0) (e4)) (op (e4) (e0))) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H29b. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H3d. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((op (e3) (e2)) = (op (op (e0) (e4)) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H29c]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e0) (e4)) (op (e4) (e0))) = (op (op (e0) (e4)) (op (e4) (e0))))); [ zenon_intro zenon_H29d | zenon_intro zenon_H29e ]. % 0.76/0.98 cut (((op (op (e0) (e4)) (op (e4) (e0))) = (op (op (e0) (e4)) (op (e4) (e0)))) = ((op (e3) (e2)) = (op (op (e0) (e4)) (op (e4) (e0))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H29c. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H29d. % 0.76/0.98 cut (((op (op (e0) (e4)) (op (e4) (e0))) = (op (op (e0) (e4)) (op (e4) (e0))))); [idtac | apply NNPP; zenon_intro zenon_H29e]. % 0.76/0.98 cut (((op (op (e0) (e4)) (op (e4) (e0))) = (op (e3) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H29f]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e0)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H108]. % 0.76/0.98 cut (((op (e0) (e4)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8f]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H8f zenon_H23). % 0.76/0.98 exact (zenon_H108 zenon_H43). % 0.76/0.98 apply zenon_H29e. apply refl_equal. % 0.76/0.98 apply zenon_H29e. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H29a); [ zenon_intro zenon_H2a1 | zenon_intro zenon_H2a0 ]. % 0.76/0.98 cut (((op (e4) (e3)) = (e4)) = ((op (op (e1) (e4)) (op (e4) (e1))) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2a1. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H49. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((op (e4) (e3)) = (op (op (e1) (e4)) (op (e4) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2a2]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e1) (e4)) (op (e4) (e1))) = (op (op (e1) (e4)) (op (e4) (e1))))); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2a4 ]. % 0.76/0.98 cut (((op (op (e1) (e4)) (op (e4) (e1))) = (op (op (e1) (e4)) (op (e4) (e1)))) = ((op (e4) (e3)) = (op (op (e1) (e4)) (op (e4) (e1))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2a2. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2a3. % 0.76/0.98 cut (((op (op (e1) (e4)) (op (e4) (e1))) = (op (op (e1) (e4)) (op (e4) (e1))))); [idtac | apply NNPP; zenon_intro zenon_H2a4]. % 0.76/0.98 cut (((op (op (e1) (e4)) (op (e4) (e1))) = (op (e4) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H2a5]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e1)) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H111]. % 0.76/0.98 cut (((op (e1) (e4)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_Hb4]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hb4 zenon_H2d). % 0.76/0.98 exact (zenon_H111 zenon_H45). % 0.76/0.98 apply zenon_H2a4. apply refl_equal. % 0.76/0.98 apply zenon_H2a4. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H2a0); [ zenon_intro zenon_H2a7 | zenon_intro zenon_H2a6 ]. % 0.76/0.98 cut (((op (e2) (e1)) = (e4)) = ((op (op (e2) (e4)) (op (e4) (e2))) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2a7. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H31. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((op (e2) (e1)) = (op (op (e2) (e4)) (op (e4) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2a8]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e2) (e4)) (op (e4) (e2))) = (op (op (e2) (e4)) (op (e4) (e2))))); [ zenon_intro zenon_H2a9 | zenon_intro zenon_H2aa ]. % 0.76/0.98 cut (((op (op (e2) (e4)) (op (e4) (e2))) = (op (op (e2) (e4)) (op (e4) (e2)))) = ((op (e2) (e1)) = (op (op (e2) (e4)) (op (e4) (e2))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2a8. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2a9. % 0.76/0.98 cut (((op (op (e2) (e4)) (op (e4) (e2))) = (op (op (e2) (e4)) (op (e4) (e2))))); [idtac | apply NNPP; zenon_intro zenon_H2aa]. % 0.76/0.98 cut (((op (op (e2) (e4)) (op (e4) (e2))) = (op (e2) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H2ab]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e2)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 0.76/0.98 cut (((op (e2) (e4)) = (e2))); [idtac | apply NNPP; zenon_intro zenon_Hdb]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_Hdb zenon_H37). % 0.76/0.98 exact (zenon_H117 zenon_H47). % 0.76/0.98 apply zenon_H2aa. apply refl_equal. % 0.76/0.98 apply zenon_H2aa. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 apply (zenon_notand_s _ _ zenon_H2a6); [ zenon_intro zenon_H2ad | zenon_intro zenon_H2ac ]. % 0.76/0.98 cut (((op (e1) (e4)) = (e4)) = ((op (op (e3) (e4)) (op (e4) (e3))) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2ad. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2d. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((op (e1) (e4)) = (op (op (e3) (e4)) (op (e4) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2ae]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e3) (e4)) (op (e4) (e3))) = (op (op (e3) (e4)) (op (e4) (e3))))); [ zenon_intro zenon_H2af | zenon_intro zenon_H2b0 ]. % 0.76/0.98 cut (((op (op (e3) (e4)) (op (e4) (e3))) = (op (op (e3) (e4)) (op (e4) (e3)))) = ((op (e1) (e4)) = (op (op (e3) (e4)) (op (e4) (e3))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2ae. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2af. % 0.76/0.98 cut (((op (op (e3) (e4)) (op (e4) (e3))) = (op (op (e3) (e4)) (op (e4) (e3))))); [idtac | apply NNPP; zenon_intro zenon_H2b0]. % 0.76/0.98 cut (((op (op (e3) (e4)) (op (e4) (e3))) = (op (e1) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H2b1]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e3)) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H120]. % 0.76/0.98 cut (((op (e3) (e4)) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H101]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H101 zenon_H41). % 0.76/0.98 exact (zenon_H120 zenon_H49). % 0.76/0.98 apply zenon_H2b0. apply refl_equal. % 0.76/0.98 apply zenon_H2b0. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 cut (((op (e0) (e0)) = (e4)) = ((op (op (e4) (e4)) (op (e4) (e4))) = (e4))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2ac. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H1b. % 0.76/0.98 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.76/0.98 cut (((op (e0) (e0)) = (op (op (e4) (e4)) (op (e4) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2b2]. % 0.76/0.98 congruence. % 0.76/0.98 elim (classic ((op (op (e4) (e4)) (op (e4) (e4))) = (op (op (e4) (e4)) (op (e4) (e4))))); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b4 ]. % 0.76/0.98 cut (((op (op (e4) (e4)) (op (e4) (e4))) = (op (op (e4) (e4)) (op (e4) (e4)))) = ((op (e0) (e0)) = (op (op (e4) (e4)) (op (e4) (e4))))). % 0.76/0.98 intro zenon_D_pnotp. % 0.76/0.98 apply zenon_H2b2. % 0.76/0.98 rewrite <- zenon_D_pnotp. % 0.76/0.98 exact zenon_H2b3. % 0.76/0.98 cut (((op (op (e4) (e4)) (op (e4) (e4))) = (op (op (e4) (e4)) (op (e4) (e4))))); [idtac | apply NNPP; zenon_intro zenon_H2b4]. % 0.76/0.98 cut (((op (op (e4) (e4)) (op (e4) (e4))) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H2b5]. % 0.76/0.98 congruence. % 0.76/0.98 cut (((op (e4) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 0.76/0.98 cut (((op (e4) (e4)) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 0.76/0.98 congruence. % 0.76/0.98 exact (zenon_H124 zenon_H48). % 0.76/0.98 exact (zenon_H124 zenon_H48). % 0.76/0.98 apply zenon_H2b4. apply refl_equal. % 0.76/0.98 apply zenon_H2b4. apply refl_equal. % 0.76/0.98 apply zenon_H6. apply refl_equal. % 0.76/0.98 Qed. % 0.76/0.98 % SZS output end Proof % 0.76/0.98 (* END-PROOF *) % 0.76/0.98 nodes searched: 3179 % 0.76/0.98 max branch formulas: 145 % 0.76/0.98 proof nodes created: 275 % 0.76/0.98 formulas created: 11955 % 0.76/0.98 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