%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : ALG090+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 18:29:12 EDT 2022 % Result : Theorem 0.56s 0.75s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG090+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.12 % Command : run_zenon %s %d % 0.12/0.34 % Computer : n023.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 8 18:19:38 EDT 2022 % 0.12/0.34 % CPUTime : % 0.56/0.75 (* PROOF-FOUND *) % 0.56/0.75 % SZS status Theorem % 0.56/0.75 (* BEGIN-PROOF *) % 0.56/0.75 % SZS output start Proof % 0.56/0.75 Theorem co1 : ((((op (e0) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e0) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e0) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e0) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e0) (e0)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e4) (e4)) = (e4))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e0)) = (e1))\/(((op (e0) (e0)) = (e2))\/(((op (e0) (e0)) = (e3))\/((op (e0) (e0)) = (e4))))))/\((((op (e0) (e1)) = (e0))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e1)) = (e3))\/((op (e0) (e1)) = (e4))))))/\((((op (e0) (e2)) = (e0))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e2)) = (e3))\/((op (e0) (e2)) = (e4))))))/\((((op (e0) (e3)) = (e0))\/(((op (e0) (e3)) = (e1))\/(((op (e0) (e3)) = (e2))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e3)) = (e4))))))/\((((op (e0) (e4)) = (e0))\/(((op (e0) (e4)) = (e1))\/(((op (e0) (e4)) = (e2))\/(((op (e0) (e4)) = (e3))\/((op (e0) (e4)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e0)) = (e1))\/(((op (e1) (e0)) = (e2))\/(((op (e1) (e0)) = (e3))\/((op (e1) (e0)) = (e4))))))/\((((op (e1) (e1)) = (e0))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e1)) = (e3))\/((op (e1) (e1)) = (e4))))))/\((((op (e1) (e2)) = (e0))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e2)) = (e3))\/((op (e1) (e2)) = (e4))))))/\((((op (e1) (e3)) = (e0))\/(((op (e1) (e3)) = (e1))\/(((op (e1) (e3)) = (e2))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e3)) = (e4))))))/\((((op (e1) (e4)) = (e0))\/(((op (e1) (e4)) = (e1))\/(((op (e1) (e4)) = (e2))\/(((op (e1) (e4)) = (e3))\/((op (e1) (e4)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e0)) = (e1))\/(((op (e2) (e0)) = (e2))\/(((op (e2) (e0)) = (e3))\/((op (e2) (e0)) = (e4))))))/\((((op (e2) (e1)) = (e0))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e1)) = (e3))\/((op (e2) (e1)) = (e4))))))/\((((op (e2) (e2)) = (e0))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e2)) = (e3))\/((op (e2) (e2)) = (e4))))))/\((((op (e2) (e3)) = (e0))\/(((op (e2) (e3)) = (e1))\/(((op (e2) (e3)) = (e2))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e3)) = (e4))))))/\((((op (e2) (e4)) = (e0))\/(((op (e2) (e4)) = (e1))\/(((op (e2) (e4)) = (e2))\/(((op (e2) (e4)) = (e3))\/((op (e2) (e4)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e0)) = (e1))\/(((op (e3) (e0)) = (e2))\/(((op (e3) (e0)) = (e3))\/((op (e3) (e0)) = (e4))))))/\((((op (e3) (e1)) = (e0))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e1)) = (e3))\/((op (e3) (e1)) = (e4))))))/\((((op (e3) (e2)) = (e0))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e2)) = (e3))\/((op (e3) (e2)) = (e4))))))/\((((op (e3) (e3)) = (e0))\/(((op (e3) (e3)) = (e1))\/(((op (e3) (e3)) = (e2))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e3)) = (e4))))))/\((((op (e3) (e4)) = (e0))\/(((op (e3) (e4)) = (e1))\/(((op (e3) (e4)) = (e2))\/(((op (e3) (e4)) = (e3))\/((op (e3) (e4)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e0)) = (e1))\/(((op (e4) (e0)) = (e2))\/(((op (e4) (e0)) = (e3))\/((op (e4) (e0)) = (e4))))))/\((((op (e4) (e1)) = (e0))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e1)) = (e3))\/((op (e4) (e1)) = (e4))))))/\((((op (e4) (e2)) = (e0))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e2)) = (e3))\/((op (e4) (e2)) = (e4))))))/\((((op (e4) (e3)) = (e0))\/(((op (e4) (e3)) = (e1))\/(((op (e4) (e3)) = (e2))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e4)) = (e0))\/(((op (e4) (e4)) = (e1))\/(((op (e4) (e4)) = (e2))\/(((op (e4) (e4)) = (e3))\/((op (e4) (e4)) = (e4))))))/\(((op (unit) (e0)) = (e0))/\(((op (e0) (unit)) = (e0))/\(((op (unit) (e1)) = (e1))/\(((op (e1) (unit)) = (e1))/\(((op (unit) (e2)) = (e2))/\(((op (e2) (unit)) = (e2))/\(((op (unit) (e3)) = (e3))/\(((op (e3) (unit)) = (e3))/\(((op (unit) (e4)) = (e4))/\(((op (e4) (unit)) = (e4))/\((((unit) = (e0))\/(((unit) = (e1))\/(((unit) = (e2))\/(((unit) = (e3))\/((unit) = (e4))))))/\((((op (e0) (e0)) = (e0))\/(((op (e0) (e1)) = (e0))\/(((op (e0) (e2)) = (e0))\/(((op (e0) (e3)) = (e0))\/((op (e0) (e4)) = (e0))))))/\((((op (e0) (e0)) = (e0))\/(((op (e1) (e0)) = (e0))\/(((op (e2) (e0)) = (e0))\/(((op (e3) (e0)) = (e0))\/((op (e4) (e0)) = (e0))))))/\((((op (e0) (e0)) = (e1))\/(((op (e0) (e1)) = (e1))\/(((op (e0) (e2)) = (e1))\/(((op (e0) (e3)) = (e1))\/((op (e0) (e4)) = (e1))))))/\((((op (e0) (e0)) = (e1))\/(((op (e1) (e0)) = (e1))\/(((op (e2) (e0)) = (e1))\/(((op (e3) (e0)) = (e1))\/((op (e4) (e0)) = (e1))))))/\((((op (e0) (e0)) = (e2))\/(((op (e0) (e1)) = (e2))\/(((op (e0) (e2)) = (e2))\/(((op (e0) (e3)) = (e2))\/((op (e0) (e4)) = (e2))))))/\((((op (e0) (e0)) = (e2))\/(((op (e1) (e0)) = (e2))\/(((op (e2) (e0)) = (e2))\/(((op (e3) (e0)) = (e2))\/((op (e4) (e0)) = (e2))))))/\((((op (e0) (e0)) = (e3))\/(((op (e0) (e1)) = (e3))\/(((op (e0) (e2)) = (e3))\/(((op (e0) (e3)) = (e3))\/((op (e0) (e4)) = (e3))))))/\((((op (e0) (e0)) = (e3))\/(((op (e1) (e0)) = (e3))\/(((op (e2) (e0)) = (e3))\/(((op (e3) (e0)) = (e3))\/((op (e4) (e0)) = (e3))))))/\((((op (e0) (e0)) = (e4))\/(((op (e0) (e1)) = (e4))\/(((op (e0) (e2)) = (e4))\/(((op (e0) (e3)) = (e4))\/((op (e0) (e4)) = (e4))))))/\((((op (e0) (e0)) = (e4))\/(((op (e1) (e0)) = (e4))\/(((op (e2) (e0)) = (e4))\/(((op (e3) (e0)) = (e4))\/((op (e4) (e0)) = (e4))))))/\((((op (e1) (e0)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e1) (e3)) = (e0))\/((op (e1) (e4)) = (e0))))))/\((((op (e0) (e1)) = (e0))\/(((op (e1) (e1)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e3) (e1)) = (e0))\/((op (e4) (e1)) = (e0))))))/\((((op (e1) (e0)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e1) (e3)) = (e1))\/((op (e1) (e4)) = (e1))))))/\((((op (e0) (e1)) = (e1))\/(((op (e1) (e1)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e3) (e1)) = (e1))\/((op (e4) (e1)) = (e1))))))/\((((op (e1) (e0)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e1) (e3)) = (e2))\/((op (e1) (e4)) = (e2))))))/\((((op (e0) (e1)) = (e2))\/(((op (e1) (e1)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e3) (e1)) = (e2))\/((op (e4) (e1)) = (e2))))))/\((((op (e1) (e0)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e1) (e3)) = (e3))\/((op (e1) (e4)) = (e3))))))/\((((op (e0) (e1)) = (e3))\/(((op (e1) (e1)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e3) (e1)) = (e3))\/((op (e4) (e1)) = (e3))))))/\((((op (e1) (e0)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e1) (e3)) = (e4))\/((op (e1) (e4)) = (e4))))))/\((((op (e0) (e1)) = (e4))\/(((op (e1) (e1)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e3) (e1)) = (e4))\/((op (e4) (e1)) = (e4))))))/\((((op (e2) (e0)) = (e0))\/(((op (e2) (e1)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e2) (e3)) = (e0))\/((op (e2) (e4)) = (e0))))))/\((((op (e0) (e2)) = (e0))\/(((op (e1) (e2)) = (e0))\/(((op (e2) (e2)) = (e0))\/(((op (e3) (e2)) = (e0))\/((op (e4) (e2)) = (e0))))))/\((((op (e2) (e0)) = (e1))\/(((op (e2) (e1)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e2) (e3)) = (e1))\/((op (e2) (e4)) = (e1))))))/\((((op (e0) (e2)) = (e1))\/(((op (e1) (e2)) = (e1))\/(((op (e2) (e2)) = (e1))\/(((op (e3) (e2)) = (e1))\/((op (e4) (e2)) = (e1))))))/\((((op (e2) (e0)) = (e2))\/(((op (e2) (e1)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e2) (e3)) = (e2))\/((op (e2) (e4)) = (e2))))))/\((((op (e0) (e2)) = (e2))\/(((op (e1) (e2)) = (e2))\/(((op (e2) (e2)) = (e2))\/(((op (e3) (e2)) = (e2))\/((op (e4) (e2)) = (e2))))))/\((((op (e2) (e0)) = (e3))\/(((op (e2) (e1)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e2) (e3)) = (e3))\/((op (e2) (e4)) = (e3))))))/\((((op (e0) (e2)) = (e3))\/(((op (e1) (e2)) = (e3))\/(((op (e2) (e2)) = (e3))\/(((op (e3) (e2)) = (e3))\/((op (e4) (e2)) = (e3))))))/\((((op (e2) (e0)) = (e4))\/(((op (e2) (e1)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e2) (e3)) = (e4))\/((op (e2) (e4)) = (e4))))))/\((((op (e0) (e2)) = (e4))\/(((op (e1) (e2)) = (e4))\/(((op (e2) (e2)) = (e4))\/(((op (e3) (e2)) = (e4))\/((op (e4) (e2)) = (e4))))))/\((((op (e3) (e0)) = (e0))\/(((op (e3) (e1)) = (e0))\/(((op (e3) (e2)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e3) (e4)) = (e0))))))/\((((op (e0) (e3)) = (e0))\/(((op (e1) (e3)) = (e0))\/(((op (e2) (e3)) = (e0))\/(((op (e3) (e3)) = (e0))\/((op (e4) (e3)) = (e0))))))/\((((op (e3) (e0)) = (e1))\/(((op (e3) (e1)) = (e1))\/(((op (e3) (e2)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e3) (e4)) = (e1))))))/\((((op (e0) (e3)) = (e1))\/(((op (e1) (e3)) = (e1))\/(((op (e2) (e3)) = (e1))\/(((op (e3) (e3)) = (e1))\/((op (e4) (e3)) = (e1))))))/\((((op (e3) (e0)) = (e2))\/(((op (e3) (e1)) = (e2))\/(((op (e3) (e2)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e3) (e4)) = (e2))))))/\((((op (e0) (e3)) = (e2))\/(((op (e1) (e3)) = (e2))\/(((op (e2) (e3)) = (e2))\/(((op (e3) (e3)) = (e2))\/((op (e4) (e3)) = (e2))))))/\((((op (e3) (e0)) = (e3))\/(((op (e3) (e1)) = (e3))\/(((op (e3) (e2)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e3) (e4)) = (e3))))))/\((((op (e0) (e3)) = (e3))\/(((op (e1) (e3)) = (e3))\/(((op (e2) (e3)) = (e3))\/(((op (e3) (e3)) = (e3))\/((op (e4) (e3)) = (e3))))))/\((((op (e3) (e0)) = (e4))\/(((op (e3) (e1)) = (e4))\/(((op (e3) (e2)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e3) (e4)) = (e4))))))/\((((op (e0) (e3)) = (e4))\/(((op (e1) (e3)) = (e4))\/(((op (e2) (e3)) = (e4))\/(((op (e3) (e3)) = (e4))\/((op (e4) (e3)) = (e4))))))/\((((op (e4) (e0)) = (e0))\/(((op (e4) (e1)) = (e0))\/(((op (e4) (e2)) = (e0))\/(((op (e4) (e3)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e0) (e4)) = (e0))\/(((op (e1) (e4)) = (e0))\/(((op (e2) (e4)) = (e0))\/(((op (e3) (e4)) = (e0))\/((op (e4) (e4)) = (e0))))))/\((((op (e4) (e0)) = (e1))\/(((op (e4) (e1)) = (e1))\/(((op (e4) (e2)) = (e1))\/(((op (e4) (e3)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e0) (e4)) = (e1))\/(((op (e1) (e4)) = (e1))\/(((op (e2) (e4)) = (e1))\/(((op (e3) (e4)) = (e1))\/((op (e4) (e4)) = (e1))))))/\((((op (e4) (e0)) = (e2))\/(((op (e4) (e1)) = (e2))\/(((op (e4) (e2)) = (e2))\/(((op (e4) (e3)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e0) (e4)) = (e2))\/(((op (e1) (e4)) = (e2))\/(((op (e2) (e4)) = (e2))\/(((op (e3) (e4)) = (e2))\/((op (e4) (e4)) = (e2))))))/\((((op (e4) (e0)) = (e3))\/(((op (e4) (e1)) = (e3))\/(((op (e4) (e2)) = (e3))\/(((op (e4) (e3)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e0) (e4)) = (e3))\/(((op (e1) (e4)) = (e3))\/(((op (e2) (e4)) = (e3))\/(((op (e3) (e4)) = (e3))\/((op (e4) (e4)) = (e3))))))/\((((op (e4) (e0)) = (e4))\/(((op (e4) (e1)) = (e4))\/(((op (e4) (e2)) = (e4))\/(((op (e4) (e3)) = (e4))\/((op (e4) (e4)) = (e4))))))/\(((op (e0) (e4)) = (e4))\/(((op (e1) (e4)) = (e4))\/(((op (e2) (e4)) = (e4))\/(((op (e3) (e4)) = (e4))\/((op (e4) (e4)) = (e4)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.56/0.75 Proof. % 0.56/0.75 assert (zenon_L1_ : (~((unit) = (e0))) -> False). % 0.56/0.75 do 0 intro. intros zenon_H4. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 (* end of lemma zenon_L1_ *) % 0.56/0.75 assert (zenon_L2_ : (~((e0) = (e0))) -> False). % 0.56/0.75 do 0 intro. intros zenon_H5. % 0.56/0.75 apply zenon_H5. apply refl_equal. % 0.56/0.75 (* end of lemma zenon_L2_ *) % 0.56/0.75 assert (zenon_L3_ : (~((e1) = (e1))) -> False). % 0.56/0.75 do 0 intro. intros zenon_H6. % 0.56/0.75 apply zenon_H6. apply refl_equal. % 0.56/0.75 (* end of lemma zenon_L3_ *) % 0.56/0.75 assert (zenon_L4_ : (~((e2) = (e2))) -> False). % 0.56/0.75 do 0 intro. intros zenon_H7. % 0.56/0.75 apply zenon_H7. apply refl_equal. % 0.56/0.75 (* end of lemma zenon_L4_ *) % 0.56/0.75 assert (zenon_L5_ : (~((e3) = (e3))) -> False). % 0.56/0.75 do 0 intro. intros zenon_H8. % 0.56/0.75 apply zenon_H8. apply refl_equal. % 0.56/0.75 (* end of lemma zenon_L5_ *) % 0.56/0.75 assert (zenon_L6_ : (~((e4) = (e4))) -> False). % 0.56/0.75 do 0 intro. intros zenon_H9. % 0.56/0.75 apply zenon_H9. apply refl_equal. % 0.56/0.75 (* end of lemma zenon_L6_ *) % 0.56/0.75 apply NNPP. intro zenon_G. % 0.56/0.75 apply (zenon_and_s _ _ ax2). zenon_intro zenon_Hb. zenon_intro zenon_Ha. % 0.56/0.75 apply (zenon_and_s _ _ zenon_Ha). zenon_intro zenon_Hd. zenon_intro zenon_Hc. % 0.56/0.75 apply (zenon_and_s _ _ zenon_Hc). zenon_intro zenon_Hf. zenon_intro zenon_He. % 0.56/0.75 apply (zenon_and_s _ _ zenon_He). zenon_intro zenon_H11. zenon_intro zenon_H10. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H10). zenon_intro zenon_H13. zenon_intro zenon_H12. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H12). zenon_intro zenon_H15. zenon_intro zenon_H14. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H14). zenon_intro zenon_H17. zenon_intro zenon_H16. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H16). zenon_intro zenon_H19. zenon_intro zenon_H18. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H18). zenon_intro zenon_H1b. zenon_intro zenon_H1a. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H1a). zenon_intro zenon_H1d. zenon_intro zenon_H1c. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H1c). zenon_intro zenon_H1f. zenon_intro zenon_H1e. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H1e). zenon_intro zenon_H21. zenon_intro zenon_H20. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H20). zenon_intro zenon_H23. zenon_intro zenon_H22. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H22). zenon_intro zenon_H25. zenon_intro zenon_H24. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H24). zenon_intro zenon_H27. zenon_intro zenon_H26. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H26). zenon_intro zenon_H29. zenon_intro zenon_H28. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H28). zenon_intro zenon_H2b. zenon_intro zenon_H2a. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H2a). zenon_intro zenon_H2d. zenon_intro zenon_H2c. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H2c). zenon_intro zenon_H2f. zenon_intro zenon_H2e. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H2e). zenon_intro zenon_H31. zenon_intro zenon_H30. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_H33. zenon_intro zenon_H32. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H35. zenon_intro zenon_H34. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H37. zenon_intro zenon_H36. % 0.56/0.75 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H39. zenon_intro zenon_H38. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_G); [ zenon_intro zenon_H3b | zenon_intro zenon_H3a ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H3b). zenon_intro zenon_H3d. zenon_intro zenon_H3c. % 0.56/0.75 exact (zenon_H3d zenon_Hb). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H3a); [ zenon_intro zenon_H3f | zenon_intro zenon_H3e ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H3f). zenon_intro zenon_H41. zenon_intro zenon_H40. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H40). zenon_intro zenon_H43. zenon_intro zenon_H42. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H42). zenon_intro zenon_H45. zenon_intro zenon_H44. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H44). zenon_intro zenon_H47. zenon_intro zenon_H46. % 0.56/0.75 exact (zenon_H47 zenon_H2f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H3e); [ zenon_intro zenon_H49 | zenon_intro zenon_H48 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H49). zenon_intro zenon_H4b. zenon_intro zenon_H4a. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H4a). zenon_intro zenon_H4d. zenon_intro zenon_H4c. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H4c). zenon_intro zenon_H4f. zenon_intro zenon_H4e. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H4e). zenon_intro zenon_H51. zenon_intro zenon_H50. % 0.56/0.75 exact (zenon_H50 zenon_H38). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H48); [ zenon_intro zenon_H53 | zenon_intro zenon_H52 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H53). zenon_intro zenon_H55. zenon_intro zenon_H54. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H54). zenon_intro zenon_H57. zenon_intro zenon_H56. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H56). zenon_intro zenon_H59. zenon_intro zenon_H58. % 0.56/0.75 exact (zenon_H59 zenon_H23). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H52); [ zenon_intro zenon_H5b | zenon_intro zenon_H5a ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H5b). zenon_intro zenon_H5d. zenon_intro zenon_H5c. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H5c). zenon_intro zenon_H5f. zenon_intro zenon_H5e. % 0.56/0.75 exact (zenon_H5f zenon_H17). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H5a); [ zenon_intro zenon_H61 | zenon_intro zenon_H60 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H61). zenon_intro zenon_H3d. zenon_intro zenon_H62. % 0.56/0.75 exact (zenon_H3d zenon_Hb). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H60); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H64). zenon_intro zenon_H66. zenon_intro zenon_H65. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H65). zenon_intro zenon_H68. zenon_intro zenon_H67. % 0.56/0.75 exact (zenon_H68 zenon_Hd). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H63); [ zenon_intro zenon_H6a | zenon_intro zenon_H69 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H6a). zenon_intro zenon_H6c. zenon_intro zenon_H6b. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H6b). zenon_intro zenon_H6e. zenon_intro zenon_H6d. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H6d). zenon_intro zenon_H70. zenon_intro zenon_H6f. % 0.56/0.75 exact (zenon_H70 zenon_Hf). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H69); [ zenon_intro zenon_H72 | zenon_intro zenon_H71 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H72). zenon_intro zenon_H74. zenon_intro zenon_H73. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H73). zenon_intro zenon_H76. zenon_intro zenon_H75. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H75). zenon_intro zenon_H78. zenon_intro zenon_H77. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H77). zenon_intro zenon_H7a. zenon_intro zenon_H79. % 0.56/0.75 exact (zenon_H7a zenon_H11). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H71); [ zenon_intro zenon_H7c | zenon_intro zenon_H7b ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H7c). zenon_intro zenon_H7e. zenon_intro zenon_H7d. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H7d). zenon_intro zenon_H80. zenon_intro zenon_H7f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H7f). zenon_intro zenon_H82. zenon_intro zenon_H81. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H81). zenon_intro zenon_H84. zenon_intro zenon_H83. % 0.56/0.75 exact (zenon_H83 zenon_H13). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H7b); [ zenon_intro zenon_H86 | zenon_intro zenon_H85 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H86). zenon_intro zenon_H88. zenon_intro zenon_H87. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H87). zenon_intro zenon_H8a. zenon_intro zenon_H89. % 0.56/0.75 exact (zenon_H8a zenon_H15). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H85); [ zenon_intro zenon_H8c | zenon_intro zenon_H8b ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H8c). zenon_intro zenon_H8e. zenon_intro zenon_H8d. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H8d). zenon_intro zenon_H43. zenon_intro zenon_H8f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H8f). zenon_intro zenon_H4d. zenon_intro zenon_H90. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H90). zenon_intro zenon_H57. zenon_intro zenon_H5f. % 0.56/0.75 exact (zenon_H5f zenon_H17). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H8b); [ zenon_intro zenon_H92 | zenon_intro zenon_H91 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H92). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.56/0.75 exact (zenon_H94 zenon_H19). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H91); [ zenon_intro zenon_H96 | zenon_intro zenon_H95 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H96). zenon_intro zenon_H98. zenon_intro zenon_H97. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H97). zenon_intro zenon_H9a. zenon_intro zenon_H99. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H99). zenon_intro zenon_H9c. zenon_intro zenon_H9b. % 0.56/0.75 exact (zenon_H9c zenon_H1b). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H95); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H9e). zenon_intro zenon_Ha0. zenon_intro zenon_H9f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H9f). zenon_intro zenon_Ha2. zenon_intro zenon_Ha1. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Ha1). zenon_intro zenon_Ha4. zenon_intro zenon_Ha3. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Ha3). zenon_intro zenon_Ha6. zenon_intro zenon_Ha5. % 0.56/0.75 exact (zenon_Ha6 zenon_H1d). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H9d); [ zenon_intro zenon_Ha8 | zenon_intro zenon_Ha7 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Ha8). zenon_intro zenon_Haa. zenon_intro zenon_Ha9. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Ha9). zenon_intro zenon_Hac. zenon_intro zenon_Hab. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hab). zenon_intro zenon_Hae. zenon_intro zenon_Had. % 0.56/0.75 exact (zenon_Hae zenon_H1f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Ha7); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Haf ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hb0). zenon_intro zenon_Hb2. zenon_intro zenon_Hb1. % 0.56/0.75 exact (zenon_Hb2 zenon_H21). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Haf); [ zenon_intro zenon_Hb4 | zenon_intro zenon_Hb3 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hb4). zenon_intro zenon_Hb6. zenon_intro zenon_Hb5. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hb5). zenon_intro zenon_H45. zenon_intro zenon_Hb7. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hb7). zenon_intro zenon_H4f. zenon_intro zenon_Hb8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hb8). zenon_intro zenon_H59. zenon_intro zenon_Hb9. % 0.56/0.75 exact (zenon_H59 zenon_H23). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hb3); [ zenon_intro zenon_Hbb | zenon_intro zenon_Hba ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hbb). zenon_intro zenon_Hbd. zenon_intro zenon_Hbc. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hbc). zenon_intro zenon_Hbf. zenon_intro zenon_Hbe. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hbe). zenon_intro zenon_Hc1. zenon_intro zenon_Hc0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hc0). zenon_intro zenon_Hc3. zenon_intro zenon_Hc2. % 0.56/0.75 exact (zenon_Hc2 zenon_H25). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hba); [ zenon_intro zenon_Hc5 | zenon_intro zenon_Hc4 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hc5). zenon_intro zenon_Hc7. zenon_intro zenon_Hc6. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hc6). zenon_intro zenon_Hc9. zenon_intro zenon_Hc8. % 0.56/0.75 exact (zenon_Hc9 zenon_H27). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hc4); [ zenon_intro zenon_Hcb | zenon_intro zenon_Hca ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hcb). zenon_intro zenon_Hcd. zenon_intro zenon_Hcc. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hcc). zenon_intro zenon_Hcf. zenon_intro zenon_Hce. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hce). zenon_intro zenon_Hd1. zenon_intro zenon_Hd0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hd0). zenon_intro zenon_Hd3. zenon_intro zenon_Hd2. % 0.56/0.75 exact (zenon_Hd3 zenon_H29). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hca); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hd5). zenon_intro zenon_Hd7. zenon_intro zenon_Hd6. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hd6). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hd8). zenon_intro zenon_Hdb. zenon_intro zenon_Hda. % 0.56/0.75 exact (zenon_Hdb zenon_H2b). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hd4); [ zenon_intro zenon_Hdd | zenon_intro zenon_Hdc ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hdd). zenon_intro zenon_Hdf. zenon_intro zenon_Hde. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hde). zenon_intro zenon_He1. zenon_intro zenon_He0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_He0). zenon_intro zenon_He3. zenon_intro zenon_He2. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_He2). zenon_intro zenon_He5. zenon_intro zenon_He4. % 0.56/0.75 exact (zenon_He4 zenon_H2d). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hdc); [ zenon_intro zenon_He7 | zenon_intro zenon_He6 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_He7). zenon_intro zenon_He9. zenon_intro zenon_He8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_He8). zenon_intro zenon_H47. zenon_intro zenon_Hea. % 0.56/0.75 exact (zenon_H47 zenon_H2f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_He6); [ zenon_intro zenon_Hec | zenon_intro zenon_Heb ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hec). zenon_intro zenon_Hee. zenon_intro zenon_Hed. % 0.56/0.75 exact (zenon_Hee zenon_H31). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Heb); [ zenon_intro zenon_Hf0 | zenon_intro zenon_Hef ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hf0). zenon_intro zenon_Hf2. zenon_intro zenon_Hf1. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hf1). zenon_intro zenon_Hf4. zenon_intro zenon_Hf3. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hf3). zenon_intro zenon_Hf6. zenon_intro zenon_Hf5. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hf5). zenon_intro zenon_Hf8. zenon_intro zenon_Hf7. % 0.56/0.75 exact (zenon_Hf7 zenon_H33). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hef); [ zenon_intro zenon_Hfa | zenon_intro zenon_Hf9 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hfa). zenon_intro zenon_Hfc. zenon_intro zenon_Hfb. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hfb). zenon_intro zenon_Hfe. zenon_intro zenon_Hfd. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hfd). zenon_intro zenon_H100. zenon_intro zenon_Hff. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_Hff). zenon_intro zenon_H102. zenon_intro zenon_H101. % 0.56/0.75 exact (zenon_H102 zenon_H35). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_Hf9); [ zenon_intro zenon_H104 | zenon_intro zenon_H103 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H104). zenon_intro zenon_H106. zenon_intro zenon_H105. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H105). zenon_intro zenon_H108. zenon_intro zenon_H107. % 0.56/0.75 exact (zenon_H108 zenon_H37). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H103); [ zenon_intro zenon_H10a | zenon_intro zenon_H109 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H10a). zenon_intro zenon_H10c. zenon_intro zenon_H10b. % 0.56/0.75 exact (zenon_H10c zenon_H39). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H109); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H10e). zenon_intro zenon_H110. zenon_intro zenon_H10f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H10f). zenon_intro zenon_H46. zenon_intro zenon_H111. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H111). zenon_intro zenon_H50. zenon_intro zenon_H112. % 0.56/0.75 exact (zenon_H50 zenon_H38). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H10d); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 0.56/0.75 cut (((op (e0) (e0)) = (e0)) = ((op (unit) (e0)) = (e0))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H114. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_Hb. % 0.56/0.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.56/0.75 cut (((op (e0) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H115]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (unit) (e0)) = (op (unit) (e0)))); [ zenon_intro zenon_H116 | zenon_intro zenon_H117 ]. % 0.56/0.75 cut (((op (unit) (e0)) = (op (unit) (e0))) = ((op (e0) (e0)) = (op (unit) (e0)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H115. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H116. % 0.56/0.75 cut (((op (unit) (e0)) = (op (unit) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H117]. % 0.56/0.75 cut (((op (unit) (e0)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H118]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 congruence. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H5. apply refl_equal. % 0.56/0.75 apply zenon_H117. apply refl_equal. % 0.56/0.75 apply zenon_H117. apply refl_equal. % 0.56/0.75 apply zenon_H5. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H113); [ zenon_intro zenon_H11a | zenon_intro zenon_H119 ]. % 0.56/0.75 cut (((op (e0) (e0)) = (e0)) = ((op (e0) (unit)) = (e0))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H11a. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_Hb. % 0.56/0.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.56/0.75 cut (((op (e0) (e0)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H11b]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (e0) (unit)) = (op (e0) (unit)))); [ zenon_intro zenon_H11c | zenon_intro zenon_H11d ]. % 0.56/0.75 cut (((op (e0) (unit)) = (op (e0) (unit))) = ((op (e0) (e0)) = (op (e0) (unit)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H11b. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H11c. % 0.56/0.75 cut (((op (e0) (unit)) = (op (e0) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H11d]. % 0.56/0.75 cut (((op (e0) (unit)) = (op (e0) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H11e]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 cut (((e0) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H5]. % 0.56/0.75 congruence. % 0.56/0.75 apply zenon_H5. apply refl_equal. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H11d. apply refl_equal. % 0.56/0.75 apply zenon_H11d. apply refl_equal. % 0.56/0.75 apply zenon_H5. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H119); [ zenon_intro zenon_H120 | zenon_intro zenon_H11f ]. % 0.56/0.75 cut (((op (e0) (e1)) = (e1)) = ((op (unit) (e1)) = (e1))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H120. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_Hd. % 0.56/0.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.56/0.75 cut (((op (e0) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H121]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (unit) (e1)) = (op (unit) (e1)))); [ zenon_intro zenon_H122 | zenon_intro zenon_H123 ]. % 0.56/0.75 cut (((op (unit) (e1)) = (op (unit) (e1))) = ((op (e0) (e1)) = (op (unit) (e1)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H121. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H122. % 0.56/0.75 cut (((op (unit) (e1)) = (op (unit) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H123]. % 0.56/0.75 cut (((op (unit) (e1)) = (op (e0) (e1)))); [idtac | apply NNPP; zenon_intro zenon_H124]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 congruence. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H6. apply refl_equal. % 0.56/0.75 apply zenon_H123. apply refl_equal. % 0.56/0.75 apply zenon_H123. apply refl_equal. % 0.56/0.75 apply zenon_H6. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H11f); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.56/0.75 cut (((op (e1) (e0)) = (e1)) = ((op (e1) (unit)) = (e1))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H126. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H15. % 0.56/0.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.56/0.75 cut (((op (e1) (e0)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H127]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (e1) (unit)) = (op (e1) (unit)))); [ zenon_intro zenon_H128 | zenon_intro zenon_H129 ]. % 0.56/0.75 cut (((op (e1) (unit)) = (op (e1) (unit))) = ((op (e1) (e0)) = (op (e1) (unit)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H127. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H128. % 0.56/0.75 cut (((op (e1) (unit)) = (op (e1) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H129]. % 0.56/0.75 cut (((op (e1) (unit)) = (op (e1) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H12a]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 cut (((e1) = (e1))); [idtac | apply NNPP; zenon_intro zenon_H6]. % 0.56/0.75 congruence. % 0.56/0.75 apply zenon_H6. apply refl_equal. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H129. apply refl_equal. % 0.56/0.75 apply zenon_H129. apply refl_equal. % 0.56/0.75 apply zenon_H6. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H125); [ zenon_intro zenon_H12c | zenon_intro zenon_H12b ]. % 0.56/0.75 cut (((op (e0) (e2)) = (e2)) = ((op (unit) (e2)) = (e2))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H12c. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_Hf. % 0.56/0.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.56/0.75 cut (((op (e0) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12d]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (unit) (e2)) = (op (unit) (e2)))); [ zenon_intro zenon_H12e | zenon_intro zenon_H12f ]. % 0.56/0.75 cut (((op (unit) (e2)) = (op (unit) (e2))) = ((op (e0) (e2)) = (op (unit) (e2)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H12d. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H12e. % 0.56/0.75 cut (((op (unit) (e2)) = (op (unit) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H12f]. % 0.56/0.75 cut (((op (unit) (e2)) = (op (e0) (e2)))); [idtac | apply NNPP; zenon_intro zenon_H130]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 congruence. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H7. apply refl_equal. % 0.56/0.75 apply zenon_H12f. apply refl_equal. % 0.56/0.75 apply zenon_H12f. apply refl_equal. % 0.56/0.75 apply zenon_H7. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H12b); [ zenon_intro zenon_H132 | zenon_intro zenon_H131 ]. % 0.56/0.75 cut (((op (e2) (e0)) = (e2)) = ((op (e2) (unit)) = (e2))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H132. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H1f. % 0.56/0.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.56/0.75 cut (((op (e2) (e0)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H133]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (e2) (unit)) = (op (e2) (unit)))); [ zenon_intro zenon_H134 | zenon_intro zenon_H135 ]. % 0.56/0.75 cut (((op (e2) (unit)) = (op (e2) (unit))) = ((op (e2) (e0)) = (op (e2) (unit)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H133. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H134. % 0.56/0.75 cut (((op (e2) (unit)) = (op (e2) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H135]. % 0.56/0.75 cut (((op (e2) (unit)) = (op (e2) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H136]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 cut (((e2) = (e2))); [idtac | apply NNPP; zenon_intro zenon_H7]. % 0.56/0.75 congruence. % 0.56/0.75 apply zenon_H7. apply refl_equal. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H135. apply refl_equal. % 0.56/0.75 apply zenon_H135. apply refl_equal. % 0.56/0.75 apply zenon_H7. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H131); [ zenon_intro zenon_H138 | zenon_intro zenon_H137 ]. % 0.56/0.75 cut (((op (e0) (e3)) = (e3)) = ((op (unit) (e3)) = (e3))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H138. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H11. % 0.56/0.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.56/0.75 cut (((op (e0) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H139]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (unit) (e3)) = (op (unit) (e3)))); [ zenon_intro zenon_H13a | zenon_intro zenon_H13b ]. % 0.56/0.75 cut (((op (unit) (e3)) = (op (unit) (e3))) = ((op (e0) (e3)) = (op (unit) (e3)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H139. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H13a. % 0.56/0.75 cut (((op (unit) (e3)) = (op (unit) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13b]. % 0.56/0.75 cut (((op (unit) (e3)) = (op (e0) (e3)))); [idtac | apply NNPP; zenon_intro zenon_H13c]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 congruence. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H8. apply refl_equal. % 0.56/0.75 apply zenon_H13b. apply refl_equal. % 0.56/0.75 apply zenon_H13b. apply refl_equal. % 0.56/0.75 apply zenon_H8. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H137); [ zenon_intro zenon_H13e | zenon_intro zenon_H13d ]. % 0.56/0.75 cut (((op (e3) (e0)) = (e3)) = ((op (e3) (unit)) = (e3))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H13e. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H29. % 0.56/0.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.56/0.75 cut (((op (e3) (e0)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H13f]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (e3) (unit)) = (op (e3) (unit)))); [ zenon_intro zenon_H140 | zenon_intro zenon_H141 ]. % 0.56/0.75 cut (((op (e3) (unit)) = (op (e3) (unit))) = ((op (e3) (e0)) = (op (e3) (unit)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H13f. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H140. % 0.56/0.75 cut (((op (e3) (unit)) = (op (e3) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H141]. % 0.56/0.75 cut (((op (e3) (unit)) = (op (e3) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H142]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 cut (((e3) = (e3))); [idtac | apply NNPP; zenon_intro zenon_H8]. % 0.56/0.75 congruence. % 0.56/0.75 apply zenon_H8. apply refl_equal. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H141. apply refl_equal. % 0.56/0.75 apply zenon_H141. apply refl_equal. % 0.56/0.75 apply zenon_H8. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H13d); [ zenon_intro zenon_H144 | zenon_intro zenon_H143 ]. % 0.56/0.75 cut (((op (e0) (e4)) = (e4)) = ((op (unit) (e4)) = (e4))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H144. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H13. % 0.56/0.75 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.56/0.75 cut (((op (e0) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H145]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (unit) (e4)) = (op (unit) (e4)))); [ zenon_intro zenon_H146 | zenon_intro zenon_H147 ]. % 0.56/0.75 cut (((op (unit) (e4)) = (op (unit) (e4))) = ((op (e0) (e4)) = (op (unit) (e4)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H145. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H146. % 0.56/0.75 cut (((op (unit) (e4)) = (op (unit) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H147]. % 0.56/0.75 cut (((op (unit) (e4)) = (op (e0) (e4)))); [idtac | apply NNPP; zenon_intro zenon_H148]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 congruence. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H9. apply refl_equal. % 0.56/0.75 apply zenon_H147. apply refl_equal. % 0.56/0.75 apply zenon_H147. apply refl_equal. % 0.56/0.75 apply zenon_H9. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H143); [ zenon_intro zenon_H14a | zenon_intro zenon_H149 ]. % 0.56/0.75 cut (((op (e4) (e0)) = (e4)) = ((op (e4) (unit)) = (e4))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H14a. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H33. % 0.56/0.75 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.56/0.75 cut (((op (e4) (e0)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H14b]. % 0.56/0.75 congruence. % 0.56/0.75 elim (classic ((op (e4) (unit)) = (op (e4) (unit)))); [ zenon_intro zenon_H14c | zenon_intro zenon_H14d ]. % 0.56/0.75 cut (((op (e4) (unit)) = (op (e4) (unit))) = ((op (e4) (e0)) = (op (e4) (unit)))). % 0.56/0.75 intro zenon_D_pnotp. % 0.56/0.75 apply zenon_H14b. % 0.56/0.75 rewrite <- zenon_D_pnotp. % 0.56/0.75 exact zenon_H14c. % 0.56/0.75 cut (((op (e4) (unit)) = (op (e4) (unit)))); [idtac | apply NNPP; zenon_intro zenon_H14d]. % 0.56/0.75 cut (((op (e4) (unit)) = (op (e4) (e0)))); [idtac | apply NNPP; zenon_intro zenon_H14e]. % 0.56/0.75 congruence. % 0.56/0.75 cut (((unit) = (e0))); [idtac | apply NNPP; zenon_intro zenon_H4]. % 0.56/0.75 cut (((e4) = (e4))); [idtac | apply NNPP; zenon_intro zenon_H9]. % 0.56/0.75 congruence. % 0.56/0.75 apply zenon_H9. apply refl_equal. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply zenon_H14d. apply refl_equal. % 0.56/0.75 apply zenon_H14d. apply refl_equal. % 0.56/0.75 apply zenon_H9. apply refl_equal. % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H149); [ zenon_intro zenon_H150 | zenon_intro zenon_H14f ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H150). zenon_intro zenon_H4. zenon_intro zenon_H151. % 0.56/0.75 exact (zenon_H4 ax3). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H14f); [ zenon_intro zenon_H153 | zenon_intro zenon_H152 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H153). zenon_intro zenon_H3d. zenon_intro zenon_H154. % 0.56/0.75 exact (zenon_H3d zenon_Hb). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H152); [ zenon_intro zenon_H156 | zenon_intro zenon_H155 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H156). zenon_intro zenon_H3d. zenon_intro zenon_H157. % 0.56/0.75 exact (zenon_H3d zenon_Hb). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H155); [ zenon_intro zenon_H159 | zenon_intro zenon_H158 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H159). zenon_intro zenon_H41. zenon_intro zenon_H15a. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H15a). zenon_intro zenon_H68. zenon_intro zenon_H15b. % 0.56/0.75 exact (zenon_H68 zenon_Hd). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H158); [ zenon_intro zenon_H15d | zenon_intro zenon_H15c ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H15d). zenon_intro zenon_H41. zenon_intro zenon_H15e. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H15e). zenon_intro zenon_H8a. zenon_intro zenon_H15f. % 0.56/0.75 exact (zenon_H8a zenon_H15). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H15c); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H161). zenon_intro zenon_H4b. zenon_intro zenon_H162. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H162). zenon_intro zenon_H164. zenon_intro zenon_H163. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H163). zenon_intro zenon_H70. zenon_intro zenon_H165. % 0.56/0.75 exact (zenon_H70 zenon_Hf). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H160); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H167). zenon_intro zenon_H4b. zenon_intro zenon_H168. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H168). zenon_intro zenon_H16a. zenon_intro zenon_H169. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H169). zenon_intro zenon_Hae. zenon_intro zenon_H16b. % 0.56/0.75 exact (zenon_Hae zenon_H1f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H166); [ zenon_intro zenon_H16d | zenon_intro zenon_H16c ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H16d). zenon_intro zenon_H55. zenon_intro zenon_H16e. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H16e). zenon_intro zenon_H170. zenon_intro zenon_H16f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H16f). zenon_intro zenon_H172. zenon_intro zenon_H171. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H171). zenon_intro zenon_H7a. zenon_intro zenon_H84. % 0.56/0.75 exact (zenon_H7a zenon_H11). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H16c); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H174). zenon_intro zenon_H55. zenon_intro zenon_H175. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H175). zenon_intro zenon_H177. zenon_intro zenon_H176. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H176). zenon_intro zenon_H179. zenon_intro zenon_H178. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H178). zenon_intro zenon_Hd3. zenon_intro zenon_Hf8. % 0.56/0.75 exact (zenon_Hd3 zenon_H29). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H173); [ zenon_intro zenon_H17b | zenon_intro zenon_H17a ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H17b). zenon_intro zenon_H5d. zenon_intro zenon_H17c. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H17c). zenon_intro zenon_H17e. zenon_intro zenon_H17d. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H17d). zenon_intro zenon_H180. zenon_intro zenon_H17f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H17f). zenon_intro zenon_H79. zenon_intro zenon_H83. % 0.56/0.75 exact (zenon_H83 zenon_H13). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H17a); [ zenon_intro zenon_H182 | zenon_intro zenon_H181 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H182). zenon_intro zenon_H5d. zenon_intro zenon_H183. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H183). zenon_intro zenon_H185. zenon_intro zenon_H184. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H184). zenon_intro zenon_H187. zenon_intro zenon_H186. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H186). zenon_intro zenon_Hd2. zenon_intro zenon_Hf7. % 0.56/0.75 exact (zenon_Hf7 zenon_H33). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H181); [ zenon_intro zenon_H189 | zenon_intro zenon_H188 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H189). zenon_intro zenon_H88. zenon_intro zenon_H18a. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H18a). zenon_intro zenon_H8e. zenon_intro zenon_H18b. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H18b). zenon_intro zenon_H94. zenon_intro zenon_H18c. % 0.56/0.75 exact (zenon_H94 zenon_H19). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H188); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H18e). zenon_intro zenon_H66. zenon_intro zenon_H18f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H18f). zenon_intro zenon_H8e. zenon_intro zenon_H190. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H190). zenon_intro zenon_Hb2. zenon_intro zenon_H191. % 0.56/0.75 exact (zenon_Hb2 zenon_H21). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H18d); [ zenon_intro zenon_H193 | zenon_intro zenon_H192 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H193). zenon_intro zenon_H8a. zenon_intro zenon_H194. % 0.56/0.75 exact (zenon_H8a zenon_H15). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H192); [ zenon_intro zenon_H196 | zenon_intro zenon_H195 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H196). zenon_intro zenon_H68. zenon_intro zenon_H197. % 0.56/0.75 exact (zenon_H68 zenon_Hd). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H195); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H199). zenon_intro zenon_H16a. zenon_intro zenon_H19a. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H19a). zenon_intro zenon_H4d. zenon_intro zenon_H19b. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H19b). zenon_intro zenon_H19d. zenon_intro zenon_H19c. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H19c). zenon_intro zenon_H9c. zenon_intro zenon_Ha4. % 0.56/0.75 exact (zenon_H9c zenon_H1b). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H198); [ zenon_intro zenon_H19f | zenon_intro zenon_H19e ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H19f). zenon_intro zenon_H164. zenon_intro zenon_H1a0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a0). zenon_intro zenon_H4d. zenon_intro zenon_H1a1. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a1). zenon_intro zenon_H1a3. zenon_intro zenon_H1a2. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a2). zenon_intro zenon_Hdb. zenon_intro zenon_H100. % 0.56/0.75 exact (zenon_Hdb zenon_H2b). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H19e); [ zenon_intro zenon_H1a5 | zenon_intro zenon_H1a4 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a5). zenon_intro zenon_H177. zenon_intro zenon_H1a6. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a6). zenon_intro zenon_H57. zenon_intro zenon_H1a7. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a7). zenon_intro zenon_H1a9. zenon_intro zenon_H1a8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1a8). zenon_intro zenon_H1aa. zenon_intro zenon_Ha6. % 0.56/0.75 exact (zenon_Ha6 zenon_H1d). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1a4); [ zenon_intro zenon_H1ac | zenon_intro zenon_H1ab ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ac). zenon_intro zenon_H170. zenon_intro zenon_H1ad. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ad). zenon_intro zenon_H57. zenon_intro zenon_H1ae. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ae). zenon_intro zenon_H1b0. zenon_intro zenon_H1af. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1af). zenon_intro zenon_H1b1. zenon_intro zenon_H102. % 0.56/0.75 exact (zenon_H102 zenon_H35). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1ab); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1b2 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1b3). zenon_intro zenon_H185. zenon_intro zenon_H1b4. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1b4). zenon_intro zenon_H5f. zenon_intro zenon_H1b5. % 0.56/0.75 exact (zenon_H5f zenon_H17). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b7 | zenon_intro zenon_H1b6 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1b7). zenon_intro zenon_H17e. zenon_intro zenon_H1b8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1b8). zenon_intro zenon_H5f. zenon_intro zenon_H1b9. % 0.56/0.75 exact (zenon_H5f zenon_H17). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1b6); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1bb). zenon_intro zenon_Haa. zenon_intro zenon_H1bc. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1bc). zenon_intro zenon_Hb2. zenon_intro zenon_H1bd. % 0.56/0.75 exact (zenon_Hb2 zenon_H21). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bf | zenon_intro zenon_H1be ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1bf). zenon_intro zenon_H6c. zenon_intro zenon_H1c0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1c0). zenon_intro zenon_H94. zenon_intro zenon_H1c1. % 0.56/0.75 exact (zenon_H94 zenon_H19). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1be); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1c3). zenon_intro zenon_Hac. zenon_intro zenon_H1c4. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1c4). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1c5). zenon_intro zenon_H45. zenon_intro zenon_H1c7. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1c7). zenon_intro zenon_Hbf. zenon_intro zenon_Hc9. % 0.56/0.75 exact (zenon_Hc9 zenon_H27). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1c8 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1c9). zenon_intro zenon_H6e. zenon_intro zenon_H1ca. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ca). zenon_intro zenon_H1cc. zenon_intro zenon_H1cb. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1cb). zenon_intro zenon_H45. zenon_intro zenon_H1cd. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1cd). zenon_intro zenon_He1. zenon_intro zenon_H108. % 0.56/0.75 exact (zenon_H108 zenon_H37). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1c8); [ zenon_intro zenon_H1cf | zenon_intro zenon_H1ce ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1cf). zenon_intro zenon_Hae. zenon_intro zenon_H1d0. % 0.56/0.75 exact (zenon_Hae zenon_H1f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1ce); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d1 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1d2). zenon_intro zenon_H70. zenon_intro zenon_H1d3. % 0.56/0.75 exact (zenon_H70 zenon_Hf). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1d1); [ zenon_intro zenon_H1d5 | zenon_intro zenon_H1d4 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1d5). zenon_intro zenon_H179. zenon_intro zenon_H1d6. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1d6). zenon_intro zenon_H1b0. zenon_intro zenon_H1d7. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1d7). zenon_intro zenon_H59. zenon_intro zenon_H1d8. % 0.56/0.75 exact (zenon_H59 zenon_H23). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1d4); [ zenon_intro zenon_H1da | zenon_intro zenon_H1d9 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1da). zenon_intro zenon_H172. zenon_intro zenon_H1db. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1db). zenon_intro zenon_H1a9. zenon_intro zenon_H1dc. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1dc). zenon_intro zenon_H59. zenon_intro zenon_H1dd. % 0.56/0.75 exact (zenon_H59 zenon_H23). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1d9); [ zenon_intro zenon_H1df | zenon_intro zenon_H1de ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1df). zenon_intro zenon_H187. zenon_intro zenon_H1e0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1e0). zenon_intro zenon_H1e2. zenon_intro zenon_H1e1. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1e1). zenon_intro zenon_Hb9. zenon_intro zenon_H1e3. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1e3). zenon_intro zenon_Hc2. zenon_intro zenon_H1e4. % 0.56/0.75 exact (zenon_Hc2 zenon_H25). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1de); [ zenon_intro zenon_H1e6 | zenon_intro zenon_H1e5 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1e6). zenon_intro zenon_H180. zenon_intro zenon_H1e7. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1e7). zenon_intro zenon_H1e9. zenon_intro zenon_H1e8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1e8). zenon_intro zenon_Hb9. zenon_intro zenon_H1ea. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ea). zenon_intro zenon_He4. zenon_intro zenon_H1eb. % 0.56/0.75 exact (zenon_He4 zenon_H2d). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1e5); [ zenon_intro zenon_H1ed | zenon_intro zenon_H1ec ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ed). zenon_intro zenon_Hcd. zenon_intro zenon_H1ee. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ee). zenon_intro zenon_Hd7. zenon_intro zenon_H1ef. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ef). zenon_intro zenon_Hdf. zenon_intro zenon_H1f0. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f0). zenon_intro zenon_He9. zenon_intro zenon_Hee. % 0.56/0.75 exact (zenon_Hee zenon_H31). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1ec); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f2). zenon_intro zenon_H74. zenon_intro zenon_H1f3. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f3). zenon_intro zenon_H98. zenon_intro zenon_H1f4. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f4). zenon_intro zenon_Hbd. zenon_intro zenon_H1f5. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f5). zenon_intro zenon_He9. zenon_intro zenon_H10c. % 0.56/0.75 exact (zenon_H10c zenon_H39). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f7 | zenon_intro zenon_H1f6 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f7). zenon_intro zenon_Hcf. zenon_intro zenon_H1f8. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f8). zenon_intro zenon_Hd9. zenon_intro zenon_H1f9. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1f9). zenon_intro zenon_He1. zenon_intro zenon_H1fa. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1fa). zenon_intro zenon_H47. zenon_intro zenon_H1fb. % 0.56/0.75 exact (zenon_H47 zenon_H2f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1f6); [ zenon_intro zenon_H1fd | zenon_intro zenon_H1fc ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1fd). zenon_intro zenon_H76. zenon_intro zenon_H1fe. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1fe). zenon_intro zenon_H9a. zenon_intro zenon_H1ff. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H1ff). zenon_intro zenon_Hbf. zenon_intro zenon_H200. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H200). zenon_intro zenon_H47. zenon_intro zenon_H201. % 0.56/0.75 exact (zenon_H47 zenon_H2f). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H1fc); [ zenon_intro zenon_H203 | zenon_intro zenon_H202 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H203). zenon_intro zenon_Hd1. zenon_intro zenon_H204. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H204). zenon_intro zenon_Hdb. zenon_intro zenon_H205. % 0.56/0.75 exact (zenon_Hdb zenon_H2b). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H202); [ zenon_intro zenon_H207 | zenon_intro zenon_H206 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H207). zenon_intro zenon_H78. zenon_intro zenon_H208. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H208). zenon_intro zenon_H9c. zenon_intro zenon_H209. % 0.56/0.75 exact (zenon_H9c zenon_H1b). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H206); [ zenon_intro zenon_H20b | zenon_intro zenon_H20a ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H20b). zenon_intro zenon_Hd3. zenon_intro zenon_H20c. % 0.56/0.75 exact (zenon_Hd3 zenon_H29). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H20a); [ zenon_intro zenon_H20e | zenon_intro zenon_H20d ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H20e). zenon_intro zenon_H7a. zenon_intro zenon_H20f. % 0.56/0.75 exact (zenon_H7a zenon_H11). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H20d); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H211). zenon_intro zenon_Hd2. zenon_intro zenon_H212. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H212). zenon_intro zenon_H214. zenon_intro zenon_H213. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H213). zenon_intro zenon_He4. zenon_intro zenon_H215. % 0.56/0.75 exact (zenon_He4 zenon_H2d). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H210); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H217). zenon_intro zenon_H79. zenon_intro zenon_H218. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H218). zenon_intro zenon_H21a. zenon_intro zenon_H219. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H219). zenon_intro zenon_Hc2. zenon_intro zenon_H21b. % 0.56/0.75 exact (zenon_Hc2 zenon_H25). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H216); [ zenon_intro zenon_H21d | zenon_intro zenon_H21c ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H21d). zenon_intro zenon_Hf2. zenon_intro zenon_H21e. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H21e). zenon_intro zenon_Hfc. zenon_intro zenon_H21f. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H21f). zenon_intro zenon_H106. zenon_intro zenon_H220. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H220). zenon_intro zenon_H10c. zenon_intro zenon_H110. % 0.56/0.75 exact (zenon_H10c zenon_H39). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H21c); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H222). zenon_intro zenon_H7e. zenon_intro zenon_H223. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H223). zenon_intro zenon_Ha0. zenon_intro zenon_H224. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H224). zenon_intro zenon_Hc7. zenon_intro zenon_H225. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H225). zenon_intro zenon_Hee. zenon_intro zenon_H110. % 0.56/0.75 exact (zenon_Hee zenon_H31). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H221); [ zenon_intro zenon_H227 | zenon_intro zenon_H226 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H227). zenon_intro zenon_Hf4. zenon_intro zenon_H228. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H228). zenon_intro zenon_Hfe. zenon_intro zenon_H229. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H229). zenon_intro zenon_H108. zenon_intro zenon_H22a. % 0.56/0.75 exact (zenon_H108 zenon_H37). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H226); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H22c). zenon_intro zenon_H80. zenon_intro zenon_H22d. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H22d). zenon_intro zenon_Ha2. zenon_intro zenon_H22e. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H22e). zenon_intro zenon_Hc9. zenon_intro zenon_H22f. % 0.56/0.75 exact (zenon_Hc9 zenon_H27). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H22b); [ zenon_intro zenon_H231 | zenon_intro zenon_H230 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H231). zenon_intro zenon_Hf6. zenon_intro zenon_H232. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H232). zenon_intro zenon_H100. zenon_intro zenon_H233. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H233). zenon_intro zenon_H235. zenon_intro zenon_H234. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H234). zenon_intro zenon_H236. zenon_intro zenon_H50. % 0.56/0.75 exact (zenon_H50 zenon_H38). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H230); [ zenon_intro zenon_H238 | zenon_intro zenon_H237 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H238). zenon_intro zenon_H82. zenon_intro zenon_H239. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H239). zenon_intro zenon_Ha4. zenon_intro zenon_H23a. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H23a). zenon_intro zenon_H23c. zenon_intro zenon_H23b. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H23b). zenon_intro zenon_H23d. zenon_intro zenon_H50. % 0.56/0.75 exact (zenon_H50 zenon_H38). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H237); [ zenon_intro zenon_H23f | zenon_intro zenon_H23e ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H23f). zenon_intro zenon_Hf8. zenon_intro zenon_H240. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H240). zenon_intro zenon_H102. zenon_intro zenon_H241. % 0.56/0.75 exact (zenon_H102 zenon_H35). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H23e); [ zenon_intro zenon_H243 | zenon_intro zenon_H242 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H243). zenon_intro zenon_H84. zenon_intro zenon_H244. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H244). zenon_intro zenon_Ha6. zenon_intro zenon_H245. % 0.56/0.75 exact (zenon_Ha6 zenon_H1d). % 0.56/0.75 apply (zenon_notand_s _ _ zenon_H242); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H247). zenon_intro zenon_Hf7. zenon_intro zenon_H248. % 0.56/0.75 exact (zenon_Hf7 zenon_H33). % 0.56/0.75 apply (zenon_notor_s _ _ zenon_H246). zenon_intro zenon_H83. zenon_intro zenon_H249. % 0.56/0.75 exact (zenon_H83 zenon_H13). % 0.56/0.75 Qed. % 0.56/0.75 % SZS output end Proof % 0.56/0.75 (* END-PROOF *) % 0.56/0.75 nodes searched: 1260 % 0.56/0.75 max branch formulas: 146 % 0.56/0.75 proof nodes created: 189 % 0.56/0.75 formulas created: 7616 % 0.56/0.75 %------------------------------------------------------------------------------