%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN455+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n021.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 21 13:52:46 EDT 2022 % Result : Theorem 0.82s 1.00s % Output : Proof 0.92s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.14 % Problem : SYN455+1 : TPTP v8.1.0. Released v2.1.0. % 0.08/0.14 % Command : run_zenon %s %d % 0.14/0.36 % Computer : n021.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 600 % 0.14/0.36 % DateTime : Tue Jul 12 00:05:23 EDT 2022 % 0.14/0.36 % CPUTime : % 0.82/1.00 (* PROOF-FOUND *) % 0.82/1.00 % SZS status Theorem % 0.82/1.00 (* BEGIN-PROOF *) % 0.82/1.00 % SZS output start Proof % 0.82/1.00 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c0_1 (a901)))/\((~(c1_1 (a901)))/\(~(c3_1 (a901)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a902))/\((c2_1 (a902))/\(~(c1_1 (a902)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a903))/\((~(c2_1 (a903)))/\(~(c3_1 (a903)))))))/\(((~(hskp3))\/((ndr1_0)/\((c0_1 (a904))/\((~(c1_1 (a904)))/\(~(c2_1 (a904)))))))/\(((~(hskp4))\/((ndr1_0)/\((c3_1 (a905))/\((~(c0_1 (a905)))/\(~(c2_1 (a905)))))))/\(((~(hskp5))\/((ndr1_0)/\((c0_1 (a906))/\((c2_1 (a906))/\(~(c3_1 (a906)))))))/\(((~(hskp6))\/((ndr1_0)/\((c0_1 (a907))/\((c1_1 (a907))/\(~(c2_1 (a907)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))))/\(((~(hskp8))\/((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))))/\(((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))))/\(((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))))/\(((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))))/\(((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))))/\(((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))))/\(((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))))/\(((~(hskp22))\/((ndr1_0)/\((c2_1 (a949))/\((c3_1 (a949))/\(~(c1_1 (a949)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))))/\(((~(hskp24))\/((ndr1_0)/\((~(c0_1 (a959)))/\((~(c1_1 (a959)))/\(~(c2_1 (a959)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a979))/\((c1_1 (a979))/\(~(c3_1 (a979)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a942))/\((c1_1 (a942))/\(c2_1 (a942))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0)))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))))/\(((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5)))/\(((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9)))/\(((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((hskp6)\/(hskp11)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13)))/\(((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp15)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16)))/\(((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27)))/\(((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp27)\/(hskp9)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp15)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17)))/\(((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19)))/\(((forall X46 : zenon_U, ((ndr1_0)->((c1_1 X46)\/((c2_1 X46)\/(~(c3_1 X46))))))\/((hskp20)\/(hskp18)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((hskp30)\/(hskp7)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27)))/\(((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c1_1 X53))))))\/(hskp0)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1)))/\(((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/(hskp22)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp0)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))/\(((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))))/\(((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16)))/\(((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((hskp30)\/(hskp9)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c1_1 X53))))))\/((hskp30)\/(hskp24)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/(hskp25)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp1)\/(hskp10)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21)))/\(((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21)))/\(((forall X62 : zenon_U, ((ndr1_0)->((c3_1 X62)\/((~(c0_1 X62))\/(~(c1_1 X62))))))\/((hskp27)\/(hskp13)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/((hskp30)\/(hskp17)))/\(((forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7))))))\/((hskp20)\/(hskp8)))/\(((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15)))/\(((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12)))/\(((hskp26)\/((hskp5)\/(hskp21)))/\(((hskp20)\/((hskp14)\/(hskp4)))/\((hskp12)\/((hskp13)\/(hskp21)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.82/1.00 Proof. % 0.82/1.00 assert (zenon_L1_ : (~(hskp14)) -> (hskp14) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1 zenon_H2. % 0.82/1.00 exact (zenon_H1 zenon_H2). % 0.82/1.00 (* end of lemma zenon_L1_ *) % 0.82/1.00 assert (zenon_L2_ : (~(hskp4)) -> (hskp4) -> False). % 0.82/1.00 do 0 intro. intros zenon_H3 zenon_H4. % 0.82/1.00 exact (zenon_H3 zenon_H4). % 0.82/1.00 (* end of lemma zenon_L2_ *) % 0.82/1.00 assert (zenon_L3_ : ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp20)) -> (~(hskp14)) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5 zenon_H6 zenon_H1 zenon_H3. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H8 | zenon_intro zenon_H7 ]. % 0.82/1.00 exact (zenon_H6 zenon_H8). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.82/1.00 exact (zenon_H1 zenon_H2). % 0.82/1.00 exact (zenon_H3 zenon_H4). % 0.82/1.00 (* end of lemma zenon_L3_ *) % 0.82/1.00 assert (zenon_L4_ : (~(hskp12)) -> (hskp12) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9 zenon_Ha. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 (* end of lemma zenon_L4_ *) % 0.82/1.00 assert (zenon_L5_ : (~(hskp13)) -> (hskp13) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hb zenon_Hc. % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 (* end of lemma zenon_L5_ *) % 0.82/1.00 assert (zenon_L6_ : (~(hskp21)) -> (hskp21) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hd zenon_He. % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 (* end of lemma zenon_L6_ *) % 0.82/1.00 assert (zenon_L7_ : ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(hskp13)) -> (~(hskp21)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hf zenon_H9 zenon_Hb zenon_Hd. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf); [ zenon_intro zenon_Ha | zenon_intro zenon_H10 ]. % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_Hc | zenon_intro zenon_He ]. % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 (* end of lemma zenon_L7_ *) % 0.82/1.00 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11 zenon_H12. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 (* end of lemma zenon_L8_ *) % 0.82/1.00 assert (zenon_L9_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (ndr1_0) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H13 zenon_H12 zenon_H14 zenon_H15 zenon_H16. % 0.82/1.00 generalize (zenon_H13 (a946)). zenon_intro zenon_H17. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H17); [ zenon_intro zenon_H11 | zenon_intro zenon_H18 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H18); [ zenon_intro zenon_H1a | zenon_intro zenon_H19 ]. % 0.82/1.00 exact (zenon_H14 zenon_H1a). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.82/1.00 exact (zenon_H15 zenon_H1c). % 0.82/1.00 exact (zenon_H16 zenon_H1b). % 0.82/1.00 (* end of lemma zenon_L9_ *) % 0.82/1.00 assert (zenon_L10_ : (~(hskp27)) -> (hskp27) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1d zenon_H1e. % 0.82/1.00 exact (zenon_H1d zenon_H1e). % 0.82/1.00 (* end of lemma zenon_L10_ *) % 0.82/1.00 assert (zenon_L11_ : (~(hskp10)) -> (hskp10) -> False). % 0.82/1.00 do 0 intro. intros zenon_H1f zenon_H20. % 0.82/1.00 exact (zenon_H1f zenon_H20). % 0.82/1.00 (* end of lemma zenon_L11_ *) % 0.82/1.00 assert (zenon_L12_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp10)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H21 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_H1d zenon_H1f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H13 | zenon_intro zenon_H22 ]. % 0.82/1.00 apply (zenon_L9_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H22); [ zenon_intro zenon_H1e | zenon_intro zenon_H20 ]. % 0.82/1.00 exact (zenon_H1d zenon_H1e). % 0.82/1.00 exact (zenon_H1f zenon_H20). % 0.82/1.00 (* end of lemma zenon_L12_ *) % 0.82/1.00 assert (zenon_L13_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c1_1 (a900)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H23 zenon_H12 zenon_H24 zenon_H25 zenon_H26. % 0.82/1.00 generalize (zenon_H23 (a900)). zenon_intro zenon_H27. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H27); [ zenon_intro zenon_H11 | zenon_intro zenon_H28 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H28); [ zenon_intro zenon_H2a | zenon_intro zenon_H29 ]. % 0.82/1.00 exact (zenon_H2a zenon_H24). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.82/1.00 exact (zenon_H2c zenon_H25). % 0.82/1.00 exact (zenon_H2b zenon_H26). % 0.82/1.00 (* end of lemma zenon_L13_ *) % 0.82/1.00 assert (zenon_L14_ : (~(hskp11)) -> (hskp11) -> False). % 0.82/1.00 do 0 intro. intros zenon_H2d zenon_H2e. % 0.82/1.00 exact (zenon_H2d zenon_H2e). % 0.82/1.00 (* end of lemma zenon_L14_ *) % 0.82/1.00 assert (zenon_L15_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp12)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H2f zenon_H30 zenon_H2d zenon_H9. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.82/1.00 apply (zenon_L13_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2e | zenon_intro zenon_Ha ]. % 0.82/1.00 exact (zenon_H2d zenon_H2e). % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 (* end of lemma zenon_L15_ *) % 0.82/1.00 assert (zenon_L16_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H34 zenon_H35 zenon_H30 zenon_H9 zenon_H2d zenon_H1f zenon_H21. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.00 apply (zenon_L12_); trivial. % 0.82/1.00 apply (zenon_L15_); trivial. % 0.82/1.00 (* end of lemma zenon_L16_ *) % 0.82/1.00 assert (zenon_L17_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L7_); trivial. % 0.82/1.00 apply (zenon_L16_); trivial. % 0.82/1.00 (* end of lemma zenon_L17_ *) % 0.82/1.00 assert (zenon_L18_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H39 zenon_H12 zenon_H3a zenon_H3b zenon_H3c. % 0.82/1.00 generalize (zenon_H39 (a921)). zenon_intro zenon_H3d. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H11 | zenon_intro zenon_H3e ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.82/1.00 exact (zenon_H3a zenon_H40). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.82/1.00 exact (zenon_H3b zenon_H42). % 0.82/1.00 exact (zenon_H41 zenon_H3c). % 0.82/1.00 (* end of lemma zenon_L18_ *) % 0.82/1.00 assert (zenon_L19_ : (~(hskp2)) -> (hskp2) -> False). % 0.82/1.00 do 0 intro. intros zenon_H43 zenon_H44. % 0.82/1.00 exact (zenon_H43 zenon_H44). % 0.82/1.00 (* end of lemma zenon_L19_ *) % 0.82/1.00 assert (zenon_L20_ : (~(hskp0)) -> (hskp0) -> False). % 0.82/1.00 do 0 intro. intros zenon_H45 zenon_H46. % 0.82/1.00 exact (zenon_H45 zenon_H46). % 0.82/1.00 (* end of lemma zenon_L20_ *) % 0.82/1.00 assert (zenon_L21_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (ndr1_0) -> (~(hskp2)) -> (~(hskp0)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H47 zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H43 zenon_H45. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H39 | zenon_intro zenon_H48 ]. % 0.82/1.00 apply (zenon_L18_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H44 | zenon_intro zenon_H46 ]. % 0.82/1.00 exact (zenon_H43 zenon_H44). % 0.82/1.00 exact (zenon_H45 zenon_H46). % 0.82/1.00 (* end of lemma zenon_L21_ *) % 0.82/1.00 assert (zenon_L22_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp2)) -> (~(hskp0)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H49 zenon_H47 zenon_H43 zenon_H45. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.00 apply (zenon_L21_); trivial. % 0.82/1.00 (* end of lemma zenon_L22_ *) % 0.82/1.00 assert (zenon_L23_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L17_); trivial. % 0.82/1.00 apply (zenon_L22_); trivial. % 0.82/1.00 (* end of lemma zenon_L23_ *) % 0.82/1.00 assert (zenon_L24_ : (forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16)))))) -> (ndr1_0) -> (~(c0_1 (a923))) -> (~(c1_1 (a923))) -> (c3_1 (a923)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4d zenon_H12 zenon_H4e zenon_H4f zenon_H50. % 0.82/1.00 generalize (zenon_H4d (a923)). zenon_intro zenon_H51. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H51); [ zenon_intro zenon_H11 | zenon_intro zenon_H52 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H54 | zenon_intro zenon_H53 ]. % 0.82/1.00 exact (zenon_H4e zenon_H54). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H53); [ zenon_intro zenon_H56 | zenon_intro zenon_H55 ]. % 0.82/1.00 exact (zenon_H4f zenon_H56). % 0.82/1.00 exact (zenon_H55 zenon_H50). % 0.82/1.00 (* end of lemma zenon_L24_ *) % 0.82/1.00 assert (zenon_L25_ : (~(hskp6)) -> (hskp6) -> False). % 0.82/1.00 do 0 intro. intros zenon_H57 zenon_H58. % 0.82/1.00 exact (zenon_H57 zenon_H58). % 0.82/1.00 (* end of lemma zenon_L25_ *) % 0.82/1.00 assert (zenon_L26_ : (~(hskp7)) -> (hskp7) -> False). % 0.82/1.00 do 0 intro. intros zenon_H59 zenon_H5a. % 0.82/1.00 exact (zenon_H59 zenon_H5a). % 0.82/1.00 (* end of lemma zenon_L26_ *) % 0.82/1.00 assert (zenon_L27_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5b zenon_H50 zenon_H4f zenon_H4e zenon_H12 zenon_H57 zenon_H59. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H5b); [ zenon_intro zenon_H4d | zenon_intro zenon_H5c ]. % 0.82/1.00 apply (zenon_L24_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H5c); [ zenon_intro zenon_H58 | zenon_intro zenon_H5a ]. % 0.82/1.00 exact (zenon_H57 zenon_H58). % 0.82/1.00 exact (zenon_H59 zenon_H5a). % 0.82/1.00 (* end of lemma zenon_L27_ *) % 0.82/1.00 assert (zenon_L28_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5d zenon_H12 zenon_H5e zenon_H5f zenon_H60. % 0.82/1.00 generalize (zenon_H5d (a917)). zenon_intro zenon_H61. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H61); [ zenon_intro zenon_H11 | zenon_intro zenon_H62 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H62); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 0.82/1.00 exact (zenon_H5e zenon_H64). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H63); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ]. % 0.82/1.00 exact (zenon_H66 zenon_H5f). % 0.82/1.00 exact (zenon_H65 zenon_H60). % 0.82/1.00 (* end of lemma zenon_L28_ *) % 0.82/1.00 assert (zenon_L29_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp21)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H67 zenon_H60 zenon_H5f zenon_H5e zenon_H12 zenon_H1f zenon_Hd. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H5d | zenon_intro zenon_H68 ]. % 0.82/1.00 apply (zenon_L28_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H20 | zenon_intro zenon_He ]. % 0.82/1.00 exact (zenon_H1f zenon_H20). % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 (* end of lemma zenon_L29_ *) % 0.82/1.00 assert (zenon_L30_ : (~(hskp23)) -> (hskp23) -> False). % 0.82/1.00 do 0 intro. intros zenon_H69 zenon_H6a. % 0.82/1.00 exact (zenon_H69 zenon_H6a). % 0.82/1.00 (* end of lemma zenon_L30_ *) % 0.82/1.00 assert (zenon_L31_ : (~(hskp15)) -> (hskp15) -> False). % 0.82/1.00 do 0 intro. intros zenon_H6b zenon_H6c. % 0.82/1.00 exact (zenon_H6b zenon_H6c). % 0.82/1.00 (* end of lemma zenon_L31_ *) % 0.82/1.00 assert (zenon_L32_ : ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (c3_1 (a900)) -> (c2_1 (a900)) -> (c1_1 (a900)) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp15)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H6d zenon_H26 zenon_H25 zenon_H24 zenon_H6e zenon_H12 zenon_H69 zenon_H6b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.82/1.00 generalize (zenon_H70 (a900)). zenon_intro zenon_H71. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H71); [ zenon_intro zenon_H11 | zenon_intro zenon_H72 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H73 | zenon_intro zenon_H29 ]. % 0.82/1.00 generalize (zenon_H6e (a900)). zenon_intro zenon_H74. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_H11 | zenon_intro zenon_H75 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.82/1.00 exact (zenon_H73 zenon_H77). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ]. % 0.82/1.00 exact (zenon_H2a zenon_H24). % 0.82/1.00 exact (zenon_H2c zenon_H25). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H29); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.82/1.00 exact (zenon_H2c zenon_H25). % 0.82/1.00 exact (zenon_H2b zenon_H26). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H6a | zenon_intro zenon_H6c ]. % 0.82/1.00 exact (zenon_H69 zenon_H6a). % 0.82/1.00 exact (zenon_H6b zenon_H6c). % 0.82/1.00 (* end of lemma zenon_L32_ *) % 0.82/1.00 assert (zenon_L33_ : (~(hskp3)) -> (hskp3) -> False). % 0.82/1.00 do 0 intro. intros zenon_H78 zenon_H79. % 0.82/1.00 exact (zenon_H78 zenon_H79). % 0.82/1.00 (* end of lemma zenon_L33_ *) % 0.82/1.00 assert (zenon_L34_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> (~(hskp23)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H35 zenon_H7a zenon_Hb zenon_H78 zenon_H69 zenon_H6b zenon_H6d zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.00 apply (zenon_L12_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 0.82/1.00 apply (zenon_L32_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.82/1.00 exact (zenon_H78 zenon_H79). % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 (* end of lemma zenon_L34_ *) % 0.82/1.00 assert (zenon_L35_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a954))) -> (c1_1 (a954)) -> (c3_1 (a954)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H7c zenon_H12 zenon_H7d zenon_H7e zenon_H7f. % 0.82/1.00 generalize (zenon_H7c (a954)). zenon_intro zenon_H80. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H80); [ zenon_intro zenon_H11 | zenon_intro zenon_H81 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ]. % 0.82/1.00 exact (zenon_H7d zenon_H83). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.82/1.00 exact (zenon_H85 zenon_H7e). % 0.82/1.00 exact (zenon_H84 zenon_H7f). % 0.82/1.00 (* end of lemma zenon_L35_ *) % 0.82/1.00 assert (zenon_L36_ : (~(hskp8)) -> (hskp8) -> False). % 0.82/1.00 do 0 intro. intros zenon_H86 zenon_H87. % 0.82/1.00 exact (zenon_H86 zenon_H87). % 0.82/1.00 (* end of lemma zenon_L36_ *) % 0.82/1.00 assert (zenon_L37_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (~(hskp8)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H88 zenon_H89 zenon_H16 zenon_H15 zenon_H14 zenon_H86. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H13 | zenon_intro zenon_H8c ]. % 0.82/1.00 apply (zenon_L9_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H87 ]. % 0.82/1.00 apply (zenon_L35_); trivial. % 0.82/1.00 exact (zenon_H86 zenon_H87). % 0.82/1.00 (* end of lemma zenon_L37_ *) % 0.82/1.00 assert (zenon_L38_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H1f zenon_H6d zenon_H6b zenon_H78 zenon_Hb zenon_H7a zenon_H35. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.00 apply (zenon_L34_); trivial. % 0.82/1.00 apply (zenon_L37_); trivial. % 0.82/1.00 (* end of lemma zenon_L38_ *) % 0.82/1.00 assert (zenon_L39_ : ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (c2_1 (a924)) -> (~(c1_1 (a924))) -> (~(c0_1 (a924))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H8e zenon_H8f zenon_H90 zenon_H91 zenon_H12 zenon_H78 zenon_H3. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H93 | zenon_intro zenon_H92 ]. % 0.82/1.00 generalize (zenon_H93 (a924)). zenon_intro zenon_H94. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H94); [ zenon_intro zenon_H11 | zenon_intro zenon_H95 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H95); [ zenon_intro zenon_H97 | zenon_intro zenon_H96 ]. % 0.82/1.00 exact (zenon_H91 zenon_H97). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H99 | zenon_intro zenon_H98 ]. % 0.82/1.00 exact (zenon_H90 zenon_H99). % 0.82/1.00 exact (zenon_H98 zenon_H8f). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H92); [ zenon_intro zenon_H79 | zenon_intro zenon_H4 ]. % 0.82/1.00 exact (zenon_H78 zenon_H79). % 0.82/1.00 exact (zenon_H3 zenon_H4). % 0.82/1.00 (* end of lemma zenon_L39_ *) % 0.82/1.00 assert (zenon_L40_ : ((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> (~(hskp4)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9a zenon_H8e zenon_H78 zenon_H3. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H9a). zenon_intro zenon_H12. zenon_intro zenon_H9b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H9b). zenon_intro zenon_H8f. zenon_intro zenon_H9c. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H9c). zenon_intro zenon_H91. zenon_intro zenon_H90. % 0.82/1.00 apply (zenon_L39_); trivial. % 0.82/1.00 (* end of lemma zenon_L40_ *) % 0.82/1.00 assert (zenon_L41_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9d zenon_H8e zenon_H3 zenon_H67 zenon_H1f zenon_H60 zenon_H5f zenon_H5e zenon_H12 zenon_H35 zenon_H7a zenon_Hb zenon_H78 zenon_H6d zenon_H21 zenon_H86 zenon_H89 zenon_H8d zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L29_); trivial. % 0.82/1.00 apply (zenon_L38_); trivial. % 0.82/1.00 apply (zenon_L40_); trivial. % 0.82/1.00 (* end of lemma zenon_L41_ *) % 0.82/1.00 assert (zenon_L42_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (c1_1 (a946)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9e zenon_H12 zenon_H15 zenon_H16 zenon_H9f. % 0.82/1.00 generalize (zenon_H9e (a946)). zenon_intro zenon_Ha0. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Ha0); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha1 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H1c | zenon_intro zenon_Ha2 ]. % 0.82/1.00 exact (zenon_H15 zenon_H1c). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha2); [ zenon_intro zenon_H1b | zenon_intro zenon_Ha3 ]. % 0.82/1.00 exact (zenon_H16 zenon_H1b). % 0.82/1.00 exact (zenon_Ha3 zenon_H9f). % 0.82/1.00 (* end of lemma zenon_L42_ *) % 0.82/1.00 assert (zenon_L43_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a946))) -> (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha4 zenon_H12 zenon_H14 zenon_H9e zenon_H15 zenon_H16. % 0.82/1.00 generalize (zenon_Ha4 (a946)). zenon_intro zenon_Ha5. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Ha5); [ zenon_intro zenon_H11 | zenon_intro zenon_Ha6 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H1a | zenon_intro zenon_Ha7 ]. % 0.82/1.00 exact (zenon_H14 zenon_H1a). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H9f | zenon_intro zenon_H1c ]. % 0.82/1.00 apply (zenon_L42_); trivial. % 0.82/1.00 exact (zenon_H15 zenon_H1c). % 0.82/1.00 (* end of lemma zenon_L43_ *) % 0.82/1.00 assert (zenon_L44_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha8 zenon_H60 zenon_H5f zenon_H5e zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_Ha4. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.00 apply (zenon_L43_); trivial. % 0.82/1.00 apply (zenon_L28_); trivial. % 0.82/1.00 (* end of lemma zenon_L44_ *) % 0.82/1.00 assert (zenon_L45_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha9 zenon_H12 zenon_Haa zenon_Hab zenon_Hac. % 0.82/1.00 generalize (zenon_Ha9 (a939)). zenon_intro zenon_Had. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Had); [ zenon_intro zenon_H11 | zenon_intro zenon_Hae ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_Hb0 | zenon_intro zenon_Haf ]. % 0.82/1.00 exact (zenon_Haa zenon_Hb0). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Haf); [ zenon_intro zenon_Hb2 | zenon_intro zenon_Hb1 ]. % 0.82/1.00 exact (zenon_Hab zenon_Hb2). % 0.82/1.00 exact (zenon_Hb1 zenon_Hac). % 0.82/1.00 (* end of lemma zenon_L45_ *) % 0.82/1.00 assert (zenon_L46_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H34 zenon_Hb3 zenon_H5e zenon_H5f zenon_H60 zenon_Ha8 zenon_H3c zenon_H3b zenon_H3a zenon_Haa zenon_Hab zenon_Hac. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.00 apply (zenon_L44_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.00 apply (zenon_L18_); trivial. % 0.82/1.00 apply (zenon_L45_); trivial. % 0.82/1.00 (* end of lemma zenon_L46_ *) % 0.82/1.00 assert (zenon_L47_ : ((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hb5 zenon_H38 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_Ha8 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L29_); trivial. % 0.82/1.00 apply (zenon_L46_); trivial. % 0.82/1.00 (* end of lemma zenon_L47_ *) % 0.82/1.00 assert (zenon_L48_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_Ha8 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67 zenon_H1 zenon_H3 zenon_H5. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.00 apply (zenon_L3_); trivial. % 0.82/1.00 apply (zenon_L47_); trivial. % 0.82/1.00 (* end of lemma zenon_L48_ *) % 0.82/1.00 assert (zenon_L49_ : (~(hskp5)) -> (hskp5) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hb9 zenon_Hba. % 0.82/1.00 exact (zenon_Hb9 zenon_Hba). % 0.82/1.00 (* end of lemma zenon_L49_ *) % 0.82/1.00 assert (zenon_L50_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> (~(hskp5)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H2f zenon_Hbb zenon_H50 zenon_H4f zenon_H4e zenon_Hb9. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H4d | zenon_intro zenon_Hbc ]. % 0.82/1.00 apply (zenon_L24_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H23 | zenon_intro zenon_Hba ]. % 0.82/1.00 apply (zenon_L13_); trivial. % 0.82/1.00 exact (zenon_Hb9 zenon_Hba). % 0.82/1.00 (* end of lemma zenon_L50_ *) % 0.82/1.00 assert (zenon_L51_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H34 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H1f zenon_H21. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.00 apply (zenon_L12_); trivial. % 0.82/1.00 apply (zenon_L50_); trivial. % 0.82/1.00 (* end of lemma zenon_L51_ *) % 0.82/1.00 assert (zenon_L52_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hbd zenon_H38 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H21 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L29_); trivial. % 0.82/1.00 apply (zenon_L51_); trivial. % 0.82/1.00 (* end of lemma zenon_L52_ *) % 0.82/1.00 assert (zenon_L53_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H21 zenon_H5 zenon_H3 zenon_H67 zenon_H1f zenon_H60 zenon_H5f zenon_H5e zenon_Ha8 zenon_Hb3 zenon_H38 zenon_Hb8. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.00 apply (zenon_L48_); trivial. % 0.82/1.00 apply (zenon_L52_); trivial. % 0.82/1.00 (* end of lemma zenon_L53_ *) % 0.82/1.00 assert (zenon_L54_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (ndr1_0) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H5 zenon_Ha8 zenon_Hb3 zenon_Hb8 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H12 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L41_); trivial. % 0.82/1.00 apply (zenon_L53_); trivial. % 0.82/1.00 (* end of lemma zenon_L54_ *) % 0.82/1.00 assert (zenon_L55_ : (forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4)))))) -> (ndr1_0) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hc1 zenon_H12 zenon_Hc2 zenon_Hc3 zenon_Hc4. % 0.82/1.00 generalize (zenon_Hc1 (a914)). zenon_intro zenon_Hc5. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Hc5); [ zenon_intro zenon_H11 | zenon_intro zenon_Hc6 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hc6); [ zenon_intro zenon_Hc8 | zenon_intro zenon_Hc7 ]. % 0.82/1.00 exact (zenon_Hc2 zenon_Hc8). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 0.82/1.00 exact (zenon_Hca zenon_Hc3). % 0.82/1.00 exact (zenon_Hc9 zenon_Hc4). % 0.82/1.00 (* end of lemma zenon_L55_ *) % 0.82/1.00 assert (zenon_L56_ : ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp7)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hcb zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12 zenon_Hb9 zenon_H59. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hc1 | zenon_intro zenon_Hcc ]. % 0.82/1.00 apply (zenon_L55_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hcc); [ zenon_intro zenon_Hba | zenon_intro zenon_H5a ]. % 0.82/1.00 exact (zenon_Hb9 zenon_Hba). % 0.82/1.00 exact (zenon_H59 zenon_H5a). % 0.82/1.00 (* end of lemma zenon_L56_ *) % 0.82/1.00 assert (zenon_L57_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H6e zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf. % 0.82/1.00 generalize (zenon_H6e (a912)). zenon_intro zenon_Hd0. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Hd0); [ zenon_intro zenon_H11 | zenon_intro zenon_Hd1 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hd3 | zenon_intro zenon_Hd2 ]. % 0.82/1.00 exact (zenon_Hcd zenon_Hd3). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hd2); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hd4 ]. % 0.82/1.00 exact (zenon_Hd5 zenon_Hce). % 0.82/1.00 exact (zenon_Hd4 zenon_Hcf). % 0.82/1.00 (* end of lemma zenon_L57_ *) % 0.82/1.00 assert (zenon_L58_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H7a zenon_Hcf zenon_Hce zenon_Hcd zenon_H12 zenon_H78 zenon_Hb. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 0.82/1.00 apply (zenon_L57_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.82/1.00 exact (zenon_H78 zenon_H79). % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 (* end of lemma zenon_L58_ *) % 0.82/1.00 assert (zenon_L59_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L58_); trivial. % 0.82/1.00 apply (zenon_L22_); trivial. % 0.82/1.00 (* end of lemma zenon_L59_ *) % 0.82/1.00 assert (zenon_L60_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9e zenon_H12 zenon_H6e zenon_Hd6 zenon_Hd7 zenon_Hd8. % 0.82/1.00 generalize (zenon_H9e (a909)). zenon_intro zenon_Hd9. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_H11 | zenon_intro zenon_Hda ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.82/1.00 generalize (zenon_H6e (a909)). zenon_intro zenon_Hdd. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Hdd); [ zenon_intro zenon_H11 | zenon_intro zenon_Hde ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hde); [ zenon_intro zenon_He0 | zenon_intro zenon_Hdf ]. % 0.82/1.00 exact (zenon_Hd6 zenon_He0). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hdf); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ]. % 0.82/1.00 exact (zenon_He2 zenon_Hd7). % 0.82/1.00 exact (zenon_He1 zenon_Hdc). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_He3 | zenon_intro zenon_He2 ]. % 0.82/1.00 exact (zenon_Hd8 zenon_He3). % 0.82/1.00 exact (zenon_He2 zenon_Hd7). % 0.82/1.00 (* end of lemma zenon_L60_ *) % 0.82/1.00 assert (zenon_L61_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (~(c0_1 (a954))) -> (c1_1 (a954)) -> (c3_1 (a954)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5d zenon_H12 zenon_H6e zenon_H7d zenon_H7e zenon_H7f. % 0.82/1.00 generalize (zenon_H5d (a954)). zenon_intro zenon_He4. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H11 | zenon_intro zenon_He5 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He6 | zenon_intro zenon_H82 ]. % 0.82/1.00 generalize (zenon_H6e (a954)). zenon_intro zenon_He7. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_He7); [ zenon_intro zenon_H11 | zenon_intro zenon_He8 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_He8); [ zenon_intro zenon_H83 | zenon_intro zenon_He9 ]. % 0.82/1.00 exact (zenon_H7d zenon_H83). % 0.82/1.00 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H85 | zenon_intro zenon_Hea ]. % 0.82/1.00 exact (zenon_H85 zenon_H7e). % 0.82/1.00 exact (zenon_Hea zenon_He6). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.82/1.00 exact (zenon_H85 zenon_H7e). % 0.82/1.00 exact (zenon_H84 zenon_H7f). % 0.82/1.00 (* end of lemma zenon_L61_ *) % 0.82/1.00 assert (zenon_L62_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a954)) -> (c1_1 (a954)) -> (~(c0_1 (a954))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha8 zenon_H7f zenon_H7e zenon_H7d zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H6e zenon_H12. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.00 apply (zenon_L60_); trivial. % 0.82/1.00 apply (zenon_L61_); trivial. % 0.82/1.00 (* end of lemma zenon_L62_ *) % 0.82/1.00 assert (zenon_L63_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H88 zenon_H7a zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H78 zenon_Hb. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 0.82/1.00 apply (zenon_L62_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.82/1.00 exact (zenon_H78 zenon_H79). % 0.82/1.00 exact (zenon_Hb zenon_Hc). % 0.82/1.00 (* end of lemma zenon_L63_ *) % 0.82/1.00 assert (zenon_L64_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H34 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H1f zenon_H6d zenon_H6b zenon_H78 zenon_Hb zenon_H7a zenon_H35. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.00 apply (zenon_L34_); trivial. % 0.82/1.00 apply (zenon_L63_); trivial. % 0.82/1.00 (* end of lemma zenon_L64_ *) % 0.82/1.00 assert (zenon_L65_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_Hb zenon_H9 zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H1f zenon_H21 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H8d zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L7_); trivial. % 0.82/1.00 apply (zenon_L64_); trivial. % 0.82/1.00 apply (zenon_L40_); trivial. % 0.82/1.00 (* end of lemma zenon_L65_ *) % 0.82/1.00 assert (zenon_L66_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H38 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H1f zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H9 zenon_Hf zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L65_); trivial. % 0.82/1.00 apply (zenon_L22_); trivial. % 0.82/1.00 (* end of lemma zenon_L66_ *) % 0.82/1.00 assert (zenon_L67_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (ndr1_0) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp13)) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9d zenon_H8e zenon_H3 zenon_H67 zenon_H1f zenon_H60 zenon_H5f zenon_H5e zenon_H12 zenon_H35 zenon_H7a zenon_Hb zenon_H78 zenon_H6d zenon_H21 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H8d zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L29_); trivial. % 0.82/1.00 apply (zenon_L64_); trivial. % 0.82/1.00 apply (zenon_L40_); trivial. % 0.82/1.00 (* end of lemma zenon_L67_ *) % 0.82/1.00 assert (zenon_L68_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H5 zenon_Hb3 zenon_Hb8 zenon_H38 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L67_); trivial. % 0.82/1.00 apply (zenon_L53_); trivial. % 0.82/1.00 (* end of lemma zenon_L68_ *) % 0.82/1.00 assert (zenon_L69_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hee zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H78 zenon_H7a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.00 apply (zenon_L59_); trivial. % 0.82/1.00 (* end of lemma zenon_L69_ *) % 0.82/1.00 assert (zenon_L70_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hf1 zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H38 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_Hf zenon_H3 zenon_H8e zenon_H9d zenon_H67 zenon_Hb8 zenon_Hb3 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L66_); trivial. % 0.82/1.00 apply (zenon_L68_); trivial. % 0.82/1.00 apply (zenon_L69_); trivial. % 0.82/1.00 (* end of lemma zenon_L70_ *) % 0.82/1.00 assert (zenon_L71_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp13)) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_Hb zenon_H9 zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H1f zenon_H21 zenon_H86 zenon_H89 zenon_H8d zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L7_); trivial. % 0.82/1.00 apply (zenon_L38_); trivial. % 0.82/1.00 apply (zenon_L40_); trivial. % 0.82/1.00 (* end of lemma zenon_L71_ *) % 0.82/1.00 assert (zenon_L72_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H1f zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H9 zenon_Hf zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L71_); trivial. % 0.82/1.00 apply (zenon_L22_); trivial. % 0.82/1.00 (* end of lemma zenon_L72_ *) % 0.82/1.00 assert (zenon_L73_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H9e zenon_H12 zenon_Hf3 zenon_Hf4 zenon_Hf5. % 0.82/1.00 generalize (zenon_H9e (a908)). zenon_intro zenon_Hf6. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_Hf6); [ zenon_intro zenon_H11 | zenon_intro zenon_Hf7 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf7); [ zenon_intro zenon_Hf9 | zenon_intro zenon_Hf8 ]. % 0.82/1.00 exact (zenon_Hf3 zenon_Hf9). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hfb | zenon_intro zenon_Hfa ]. % 0.82/1.00 exact (zenon_Hf4 zenon_Hfb). % 0.82/1.00 exact (zenon_Hfa zenon_Hf5). % 0.82/1.00 (* end of lemma zenon_L73_ *) % 0.82/1.00 assert (zenon_L74_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Heb zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.00 apply (zenon_L73_); trivial. % 0.82/1.00 apply (zenon_L28_); trivial. % 0.82/1.00 (* end of lemma zenon_L74_ *) % 0.82/1.00 assert (zenon_L75_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hfc zenon_Hf1 zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H38 zenon_H8d zenon_Ha8 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_Hf zenon_H3 zenon_H8e zenon_H9d zenon_H67 zenon_Hb8 zenon_Hb3 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.00 apply (zenon_L70_); trivial. % 0.82/1.00 (* end of lemma zenon_L75_ *) % 0.82/1.00 assert (zenon_L76_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hff zenon_H67 zenon_Hb8 zenon_Hb3 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H21 zenon_H89 zenon_H8d zenon_H38 zenon_H43 zenon_H45 zenon_H47 zenon_H4c zenon_Hf1. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L72_); trivial. % 0.82/1.00 apply (zenon_L74_); trivial. % 0.82/1.00 apply (zenon_L69_); trivial. % 0.82/1.00 apply (zenon_L75_); trivial. % 0.82/1.00 (* end of lemma zenon_L76_ *) % 0.82/1.00 assert (zenon_L77_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H5 zenon_Ha8 zenon_Hb3 zenon_Hb8 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.00 apply (zenon_L54_); trivial. % 0.82/1.00 (* end of lemma zenon_L77_ *) % 0.82/1.00 assert (zenon_L78_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp5)) -> (~(hskp7)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H100 zenon_Hcb zenon_Hb9 zenon_H59. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.00 apply (zenon_L56_); trivial. % 0.82/1.00 (* end of lemma zenon_L78_ *) % 0.82/1.00 assert (zenon_L79_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H59 zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H9d zenon_H8e zenon_H3 zenon_H67 zenon_H7a zenon_H78 zenon_H6d zenon_H86 zenon_H89 zenon_H8d zenon_Hb8 zenon_Hb3 zenon_Ha8 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L23_); trivial. % 0.82/1.00 apply (zenon_L77_); trivial. % 0.82/1.00 apply (zenon_L78_); trivial. % 0.82/1.00 (* end of lemma zenon_L79_ *) % 0.82/1.00 assert (zenon_L80_ : ((~(hskp8))\/((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hff zenon_H103 zenon_Hcb zenon_H59 zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_Hf zenon_H21 zenon_H30 zenon_H35 zenon_H38 zenon_H9d zenon_H8e zenon_H3 zenon_H67 zenon_H7a zenon_H78 zenon_H6d zenon_H89 zenon_H8d zenon_Hb8 zenon_Hb3 zenon_Ha8 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2 zenon_Hf1. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.00 apply (zenon_L79_); trivial. % 0.82/1.00 apply (zenon_L69_); trivial. % 0.82/1.00 apply (zenon_L75_); trivial. % 0.82/1.00 (* end of lemma zenon_L80_ *) % 0.82/1.00 assert (zenon_L81_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H104 zenon_Hff zenon_H67 zenon_Hb8 zenon_Hb3 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2 zenon_Ha8 zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H21 zenon_H89 zenon_H8d zenon_H38 zenon_H43 zenon_H45 zenon_H47 zenon_H4c zenon_Hf1. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.82/1.00 apply (zenon_L76_); trivial. % 0.82/1.00 (* end of lemma zenon_L81_ *) % 0.82/1.00 assert (zenon_L82_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H107 zenon_H12 zenon_H108 zenon_H109 zenon_H10a. % 0.82/1.00 generalize (zenon_H107 (a906)). zenon_intro zenon_H10b. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H10b); [ zenon_intro zenon_H11 | zenon_intro zenon_H10c ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_H10e | zenon_intro zenon_H10d ]. % 0.82/1.00 exact (zenon_H108 zenon_H10e). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H110 | zenon_intro zenon_H10f ]. % 0.82/1.00 exact (zenon_H110 zenon_H109). % 0.82/1.00 exact (zenon_H10f zenon_H10a). % 0.82/1.00 (* end of lemma zenon_L82_ *) % 0.82/1.00 assert (zenon_L83_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha9 zenon_H12 zenon_H111 zenon_H108 zenon_H10a zenon_H109. % 0.82/1.00 generalize (zenon_Ha9 (a906)). zenon_intro zenon_H112. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H112); [ zenon_intro zenon_H11 | zenon_intro zenon_H113 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H115 | zenon_intro zenon_H114 ]. % 0.82/1.00 generalize (zenon_H111 (a906)). zenon_intro zenon_H116. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H116); [ zenon_intro zenon_H11 | zenon_intro zenon_H117 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H10e | zenon_intro zenon_H118 ]. % 0.82/1.00 exact (zenon_H108 zenon_H10e). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H119 | zenon_intro zenon_H10f ]. % 0.82/1.00 exact (zenon_H119 zenon_H115). % 0.82/1.00 exact (zenon_H10f zenon_H10a). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H114); [ zenon_intro zenon_H10e | zenon_intro zenon_H110 ]. % 0.82/1.00 exact (zenon_H108 zenon_H10e). % 0.82/1.00 exact (zenon_H110 zenon_H109). % 0.82/1.00 (* end of lemma zenon_L83_ *) % 0.82/1.00 assert (zenon_L84_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11a zenon_H14 zenon_H15 zenon_H16 zenon_H5e zenon_H5f zenon_H60 zenon_Ha8 zenon_Ha9 zenon_H12 zenon_H108 zenon_H10a zenon_H109. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.82/1.00 apply (zenon_L44_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.82/1.00 apply (zenon_L82_); trivial. % 0.82/1.00 apply (zenon_L83_); trivial. % 0.82/1.00 (* end of lemma zenon_L84_ *) % 0.82/1.00 assert (zenon_L85_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H34 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H5e zenon_H5f zenon_H60 zenon_Ha8 zenon_H108 zenon_H10a zenon_H109. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.00 apply (zenon_L44_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.00 apply (zenon_L18_); trivial. % 0.82/1.00 apply (zenon_L84_); trivial. % 0.82/1.00 (* end of lemma zenon_L85_ *) % 0.82/1.00 assert (zenon_L86_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H49 zenon_H38 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L29_); trivial. % 0.82/1.00 apply (zenon_L85_); trivial. % 0.82/1.00 (* end of lemma zenon_L86_ *) % 0.82/1.00 assert (zenon_L87_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L41_); trivial. % 0.82/1.00 apply (zenon_L86_); trivial. % 0.82/1.00 (* end of lemma zenon_L87_ *) % 0.82/1.00 assert (zenon_L88_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H67 zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H1f zenon_H21 zenon_H86 zenon_H89 zenon_H8d zenon_H38 zenon_H43 zenon_H45 zenon_H47 zenon_H4c. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L72_); trivial. % 0.82/1.00 apply (zenon_L87_); trivial. % 0.82/1.00 (* end of lemma zenon_L88_ *) % 0.82/1.00 assert (zenon_L89_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H38 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L67_); trivial. % 0.82/1.00 apply (zenon_L86_); trivial. % 0.82/1.00 (* end of lemma zenon_L89_ *) % 0.82/1.00 assert (zenon_L90_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H67 zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H1f zenon_H21 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H8d zenon_H38 zenon_H43 zenon_H45 zenon_H47 zenon_H4c. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L66_); trivial. % 0.82/1.00 apply (zenon_L89_); trivial. % 0.82/1.00 (* end of lemma zenon_L90_ *) % 0.82/1.00 assert (zenon_L91_ : (~(hskp28)) -> (hskp28) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11c zenon_H11d. % 0.82/1.00 exact (zenon_H11c zenon_H11d). % 0.82/1.00 (* end of lemma zenon_L91_ *) % 0.82/1.00 assert (zenon_L92_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp12)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H11e zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H11c zenon_H9. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H39 | zenon_intro zenon_H11f ]. % 0.82/1.00 apply (zenon_L18_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H11f); [ zenon_intro zenon_H11d | zenon_intro zenon_Ha ]. % 0.82/1.00 exact (zenon_H11c zenon_H11d). % 0.82/1.00 exact (zenon_H9 zenon_Ha). % 0.82/1.00 (* end of lemma zenon_L92_ *) % 0.82/1.00 assert (zenon_L93_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (~(c1_1 (a905))) -> (~(c2_1 (a905))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha4 zenon_H12 zenon_H120 zenon_H121 zenon_H122. % 0.82/1.00 generalize (zenon_Ha4 (a905)). zenon_intro zenon_H123. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H123); [ zenon_intro zenon_H11 | zenon_intro zenon_H124 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H124); [ zenon_intro zenon_H126 | zenon_intro zenon_H125 ]. % 0.82/1.00 exact (zenon_H120 zenon_H126). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H128 | zenon_intro zenon_H127 ]. % 0.82/1.00 exact (zenon_H121 zenon_H128). % 0.82/1.00 exact (zenon_H122 zenon_H127). % 0.82/1.00 (* end of lemma zenon_L93_ *) % 0.82/1.00 assert (zenon_L94_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5d zenon_H12 zenon_H122 zenon_Ha4 zenon_H120 zenon_H129. % 0.82/1.00 generalize (zenon_H5d (a905)). zenon_intro zenon_H12a. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H12a); [ zenon_intro zenon_H11 | zenon_intro zenon_H12b ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H127 | zenon_intro zenon_H12c ]. % 0.82/1.00 exact (zenon_H122 zenon_H127). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H121 | zenon_intro zenon_H12d ]. % 0.82/1.00 apply (zenon_L93_); trivial. % 0.82/1.00 exact (zenon_H12d zenon_H129). % 0.82/1.00 (* end of lemma zenon_L94_ *) % 0.82/1.00 assert (zenon_L95_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a905))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp21)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H67 zenon_H129 zenon_H120 zenon_Ha4 zenon_H122 zenon_H12 zenon_H1f zenon_Hd. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H5d | zenon_intro zenon_H68 ]. % 0.82/1.00 apply (zenon_L94_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H20 | zenon_intro zenon_He ]. % 0.82/1.00 exact (zenon_H1f zenon_H20). % 0.82/1.00 exact (zenon_Hd zenon_He). % 0.82/1.00 (* end of lemma zenon_L95_ *) % 0.82/1.00 assert (zenon_L96_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H12e zenon_H12 zenon_H120 zenon_H122 zenon_H129. % 0.82/1.00 generalize (zenon_H12e (a905)). zenon_intro zenon_H12f. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H11 | zenon_intro zenon_H130 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H126 | zenon_intro zenon_H131 ]. % 0.82/1.00 exact (zenon_H120 zenon_H126). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H131); [ zenon_intro zenon_H127 | zenon_intro zenon_H12d ]. % 0.82/1.00 exact (zenon_H122 zenon_H127). % 0.82/1.00 exact (zenon_H12d zenon_H129). % 0.82/1.00 (* end of lemma zenon_L96_ *) % 0.82/1.00 assert (zenon_L97_ : (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (c0_1 (a916)) -> (c1_1 (a916)) -> (c3_1 (a916)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H132 zenon_H12 zenon_H133 zenon_H134 zenon_H135. % 0.82/1.00 generalize (zenon_H132 (a916)). zenon_intro zenon_H136. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H136); [ zenon_intro zenon_H11 | zenon_intro zenon_H137 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.82/1.00 exact (zenon_H139 zenon_H133). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.82/1.00 exact (zenon_H13b zenon_H134). % 0.82/1.00 exact (zenon_H13a zenon_H135). % 0.82/1.00 (* end of lemma zenon_L97_ *) % 0.82/1.00 assert (zenon_L98_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp21)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H13c zenon_H13d zenon_Hd zenon_H1f zenon_H67 zenon_H129 zenon_H122 zenon_H120. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.00 apply (zenon_L95_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.00 apply (zenon_L96_); trivial. % 0.82/1.00 apply (zenon_L97_); trivial. % 0.82/1.00 (* end of lemma zenon_L98_ *) % 0.82/1.00 assert (zenon_L99_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H1f zenon_Hd zenon_H67 zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.00 apply (zenon_L92_); trivial. % 0.82/1.00 apply (zenon_L98_); trivial. % 0.82/1.00 (* end of lemma zenon_L99_ *) % 0.82/1.00 assert (zenon_L100_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.00 apply (zenon_L17_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L99_); trivial. % 0.82/1.00 apply (zenon_L16_); trivial. % 0.82/1.00 (* end of lemma zenon_L100_ *) % 0.82/1.00 assert (zenon_L101_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (c1_1 (a900)) -> (c3_1 (a900)) -> (c2_1 (a900)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H6e zenon_H12 zenon_H132 zenon_H24 zenon_H26 zenon_H25. % 0.82/1.00 generalize (zenon_H6e (a900)). zenon_intro zenon_H74. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H74); [ zenon_intro zenon_H11 | zenon_intro zenon_H75 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H77 | zenon_intro zenon_H76 ]. % 0.82/1.00 generalize (zenon_H132 (a900)). zenon_intro zenon_H142. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H142); [ zenon_intro zenon_H11 | zenon_intro zenon_H143 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H73 | zenon_intro zenon_H144 ]. % 0.82/1.00 exact (zenon_H73 zenon_H77). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H2a | zenon_intro zenon_H2b ]. % 0.82/1.00 exact (zenon_H2a zenon_H24). % 0.82/1.00 exact (zenon_H2b zenon_H26). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H2a | zenon_intro zenon_H2c ]. % 0.82/1.00 exact (zenon_H2a zenon_H24). % 0.82/1.00 exact (zenon_H2c zenon_H25). % 0.82/1.00 (* end of lemma zenon_L101_ *) % 0.82/1.00 assert (zenon_L102_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H145 zenon_H25 zenon_H26 zenon_H24 zenon_H132 zenon_H12 zenon_H59 zenon_H1. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.82/1.00 apply (zenon_L101_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.82/1.00 exact (zenon_H59 zenon_H5a). % 0.82/1.00 exact (zenon_H1 zenon_H2). % 0.82/1.00 (* end of lemma zenon_L102_ *) % 0.82/1.00 assert (zenon_L103_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H59 zenon_H145 zenon_Ha8 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L100_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.00 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.00 apply (zenon_L29_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.00 apply (zenon_L12_); trivial. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.00 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.00 apply (zenon_L44_); trivial. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.00 apply (zenon_L96_); trivial. % 0.82/1.00 apply (zenon_L102_); trivial. % 0.82/1.00 apply (zenon_L52_); trivial. % 0.82/1.00 apply (zenon_L78_); trivial. % 0.82/1.00 (* end of lemma zenon_L103_ *) % 0.82/1.00 assert (zenon_L104_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_Hf2 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.00 apply (zenon_L100_); trivial. % 0.82/1.00 apply (zenon_L74_); trivial. % 0.82/1.00 (* end of lemma zenon_L104_ *) % 0.82/1.00 assert (zenon_L105_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a914))) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> False). % 0.82/1.00 do 0 intro. intros zenon_H5d zenon_H12 zenon_Hc2 zenon_H147 zenon_Hc3 zenon_Hc4. % 0.82/1.00 generalize (zenon_H5d (a914)). zenon_intro zenon_H148. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H148); [ zenon_intro zenon_H11 | zenon_intro zenon_H149 ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H149); [ zenon_intro zenon_Hc8 | zenon_intro zenon_H14a ]. % 0.82/1.00 exact (zenon_Hc2 zenon_Hc8). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H14a); [ zenon_intro zenon_H14b | zenon_intro zenon_Hc9 ]. % 0.82/1.00 generalize (zenon_H147 (a914)). zenon_intro zenon_H14c. % 0.82/1.00 apply (zenon_imply_s _ _ zenon_H14c); [ zenon_intro zenon_H11 | zenon_intro zenon_H14d ]. % 0.82/1.00 exact (zenon_H11 zenon_H12). % 0.82/1.00 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H14e | zenon_intro zenon_Hc7 ]. % 0.82/1.00 exact (zenon_H14b zenon_H14e). % 0.82/1.00 apply (zenon_or_s _ _ zenon_Hc7); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 0.82/1.00 exact (zenon_Hca zenon_Hc3). % 0.82/1.00 exact (zenon_Hc9 zenon_Hc4). % 0.82/1.00 exact (zenon_Hc9 zenon_Hc4). % 0.82/1.00 (* end of lemma zenon_L105_ *) % 0.82/1.00 assert (zenon_L106_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_H147 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.00 apply (zenon_L73_); trivial. % 0.82/1.00 apply (zenon_L105_); trivial. % 0.82/1.00 (* end of lemma zenon_L106_ *) % 0.82/1.00 assert (zenon_L107_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> False). % 0.82/1.00 do 0 intro. intros zenon_H14f zenon_H11c zenon_H12 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8. % 0.82/1.00 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H147 | zenon_intro zenon_H11d ]. % 0.82/1.00 apply (zenon_L106_); trivial. % 0.82/1.00 exact (zenon_H11c zenon_H11d). % 0.82/1.00 (* end of lemma zenon_L107_ *) % 0.82/1.00 assert (zenon_L108_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a905))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (ndr1_0) -> False). % 0.82/1.00 do 0 intro. intros zenon_Ha8 zenon_H129 zenon_H120 zenon_Ha4 zenon_H122 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12. % 0.82/1.00 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.01 apply (zenon_L73_); trivial. % 0.82/1.01 apply (zenon_L94_); trivial. % 0.82/1.01 (* end of lemma zenon_L108_ *) % 0.82/1.01 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H13c zenon_H13d zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_H129 zenon_H122 zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.01 apply (zenon_L108_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L96_); trivial. % 0.82/1.01 apply (zenon_L97_); trivial. % 0.82/1.01 (* end of lemma zenon_L109_ *) % 0.82/1.01 assert (zenon_L110_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H100 zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H14f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L107_); trivial. % 0.82/1.01 apply (zenon_L109_); trivial. % 0.82/1.01 (* end of lemma zenon_L110_ *) % 0.82/1.01 assert (zenon_L111_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a916))) -> (c1_1 (a916)) -> (c3_1 (a916)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H5d zenon_H12 zenon_H150 zenon_H134 zenon_H135. % 0.82/1.01 generalize (zenon_H5d (a916)). zenon_intro zenon_H151. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H151); [ zenon_intro zenon_H11 | zenon_intro zenon_H152 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H153 | zenon_intro zenon_H138 ]. % 0.82/1.01 exact (zenon_H150 zenon_H153). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.82/1.01 exact (zenon_H13b zenon_H134). % 0.82/1.01 exact (zenon_H13a zenon_H135). % 0.82/1.01 (* end of lemma zenon_L111_ *) % 0.82/1.01 assert (zenon_L112_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c1_1 (a916)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c3_1 (a916)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H23 zenon_H12 zenon_H134 zenon_H5d zenon_H135. % 0.82/1.01 generalize (zenon_H23 (a916)). zenon_intro zenon_H154. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_H11 | zenon_intro zenon_H155 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H13b | zenon_intro zenon_H156 ]. % 0.82/1.01 exact (zenon_H13b zenon_H134). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H150 | zenon_intro zenon_H13a ]. % 0.82/1.01 apply (zenon_L111_); trivial. % 0.82/1.01 exact (zenon_H13a zenon_H135). % 0.82/1.01 (* end of lemma zenon_L112_ *) % 0.82/1.01 assert (zenon_L113_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c3_1 (a916)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a916)) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp12)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H30 zenon_H135 zenon_H5d zenon_H134 zenon_H12 zenon_H2d zenon_H9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.82/1.01 apply (zenon_L112_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2e | zenon_intro zenon_Ha ]. % 0.82/1.01 exact (zenon_H2d zenon_H2e). % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 (* end of lemma zenon_L113_ *) % 0.82/1.01 assert (zenon_L114_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H13c zenon_Ha8 zenon_H2d zenon_H9 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.01 apply (zenon_L73_); trivial. % 0.82/1.01 apply (zenon_L113_); trivial. % 0.82/1.01 (* end of lemma zenon_L114_ *) % 0.82/1.01 assert (zenon_L115_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H141 zenon_Ha8 zenon_H2d zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H9 zenon_H11e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L92_); trivial. % 0.82/1.01 apply (zenon_L114_); trivial. % 0.82/1.01 (* end of lemma zenon_L115_ *) % 0.82/1.01 assert (zenon_L116_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H4c zenon_H141 zenon_Ha8 zenon_H2d zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H9 zenon_H11e zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L58_); trivial. % 0.82/1.01 apply (zenon_L115_); trivial. % 0.82/1.01 (* end of lemma zenon_L116_ *) % 0.82/1.01 assert (zenon_L117_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (ndr1_0) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf2 zenon_H7a zenon_H78 zenon_Hcf zenon_Hce zenon_Hcd zenon_H12 zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H141 zenon_H4c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_L116_); trivial. % 0.82/1.01 apply (zenon_L74_); trivial. % 0.82/1.01 (* end of lemma zenon_L117_ *) % 0.82/1.01 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hee zenon_H103 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H14f zenon_H4c zenon_H141 zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_H78 zenon_H7a zenon_Hf2. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L117_); trivial. % 0.82/1.01 apply (zenon_L110_); trivial. % 0.82/1.01 (* end of lemma zenon_L118_ *) % 0.82/1.01 assert (zenon_L119_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H104 zenon_Hf1 zenon_H78 zenon_H7a zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H14f zenon_H103. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L104_); trivial. % 0.82/1.01 apply (zenon_L110_); trivial. % 0.82/1.01 apply (zenon_L118_); trivial. % 0.82/1.01 (* end of lemma zenon_L119_ *) % 0.82/1.01 assert (zenon_L120_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (ndr1_0) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H7a zenon_H25 zenon_H26 zenon_H24 zenon_H132 zenon_H12 zenon_H78 zenon_Hb. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 0.82/1.01 apply (zenon_L101_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.82/1.01 exact (zenon_H78 zenon_H79). % 0.82/1.01 exact (zenon_Hb zenon_Hc). % 0.82/1.01 (* end of lemma zenon_L120_ *) % 0.82/1.01 assert (zenon_L121_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H67 zenon_H1f zenon_H21 zenon_Ha8 zenon_H120 zenon_H122 zenon_H129 zenon_H7a zenon_H78 zenon_H13d zenon_H35 zenon_H38. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L29_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.01 apply (zenon_L12_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.01 apply (zenon_L44_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L96_); trivial. % 0.82/1.01 apply (zenon_L120_); trivial. % 0.82/1.01 apply (zenon_L86_); trivial. % 0.82/1.01 (* end of lemma zenon_L121_ *) % 0.82/1.01 assert (zenon_L122_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H7a zenon_H78 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_L100_); trivial. % 0.82/1.01 apply (zenon_L121_); trivial. % 0.82/1.01 (* end of lemma zenon_L122_ *) % 0.82/1.01 assert (zenon_L123_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H7c zenon_H12 zenon_H120 zenon_Ha4 zenon_H122 zenon_H129. % 0.82/1.01 generalize (zenon_H7c (a905)). zenon_intro zenon_H157. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H157); [ zenon_intro zenon_H11 | zenon_intro zenon_H158 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H126 | zenon_intro zenon_H12c ]. % 0.82/1.01 exact (zenon_H120 zenon_H126). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H12c); [ zenon_intro zenon_H121 | zenon_intro zenon_H12d ]. % 0.82/1.01 apply (zenon_L93_); trivial. % 0.82/1.01 exact (zenon_H12d zenon_H129). % 0.82/1.01 (* end of lemma zenon_L123_ *) % 0.82/1.01 assert (zenon_L124_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H89 zenon_H16 zenon_H15 zenon_H14 zenon_H129 zenon_H122 zenon_Ha4 zenon_H120 zenon_H12 zenon_H86. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H13 | zenon_intro zenon_H8c ]. % 0.82/1.01 apply (zenon_L9_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H87 ]. % 0.82/1.01 apply (zenon_L123_); trivial. % 0.82/1.01 exact (zenon_H86 zenon_H87). % 0.82/1.01 (* end of lemma zenon_L124_ *) % 0.82/1.01 assert (zenon_L125_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H34 zenon_H35 zenon_H13d zenon_H78 zenon_Hb zenon_H7a zenon_H120 zenon_H122 zenon_H129 zenon_H86 zenon_H89 zenon_H1f zenon_H21. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.01 apply (zenon_L12_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.01 apply (zenon_L124_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L96_); trivial. % 0.82/1.01 apply (zenon_L120_); trivial. % 0.82/1.01 (* end of lemma zenon_L125_ *) % 0.82/1.01 assert (zenon_L126_ : (~(hskp25)) -> (hskp25) -> False). % 0.82/1.01 do 0 intro. intros zenon_H159 zenon_H15a. % 0.82/1.01 exact (zenon_H159 zenon_H15a). % 0.82/1.01 (* end of lemma zenon_L126_ *) % 0.82/1.01 assert (zenon_L127_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (~(c2_1 (a914))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp21)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H15b zenon_Hc4 zenon_Hc3 zenon_H147 zenon_Hc2 zenon_H12 zenon_H159 zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H5d | zenon_intro zenon_H15c ]. % 0.82/1.01 apply (zenon_L105_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15a | zenon_intro zenon_He ]. % 0.82/1.01 exact (zenon_H159 zenon_H15a). % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 (* end of lemma zenon_L127_ *) % 0.82/1.01 assert (zenon_L128_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> (~(hskp25)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H14f zenon_H11c zenon_H12 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H159 zenon_Hd zenon_H15b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H147 | zenon_intro zenon_H11d ]. % 0.82/1.01 apply (zenon_L127_); trivial. % 0.82/1.01 exact (zenon_H11c zenon_H11d). % 0.82/1.01 (* end of lemma zenon_L128_ *) % 0.82/1.01 assert (zenon_L129_ : (forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (~(c1_1 (a960))) -> (c0_1 (a960)) -> (c3_1 (a960)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H147 zenon_H12 zenon_H15d zenon_H15e zenon_H15f. % 0.82/1.01 generalize (zenon_H147 (a960)). zenon_intro zenon_H160. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H160); [ zenon_intro zenon_H11 | zenon_intro zenon_H161 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H161); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.82/1.01 exact (zenon_H15d zenon_H163). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H162); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.82/1.01 exact (zenon_H165 zenon_H15e). % 0.82/1.01 exact (zenon_H164 zenon_H15f). % 0.82/1.01 (* end of lemma zenon_L129_ *) % 0.82/1.01 assert (zenon_L130_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a960)) -> (c0_1 (a960)) -> (~(c1_1 (a960))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_H14f zenon_H11c zenon_H15f zenon_H15e zenon_H15d zenon_H12. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H147 | zenon_intro zenon_H11d ]. % 0.82/1.01 apply (zenon_L129_); trivial. % 0.82/1.01 exact (zenon_H11c zenon_H11d). % 0.82/1.01 (* end of lemma zenon_L130_ *) % 0.82/1.01 assert (zenon_L131_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H166 zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H1f zenon_Hd zenon_H67 zenon_H14f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_L98_); trivial. % 0.82/1.01 (* end of lemma zenon_L131_ *) % 0.82/1.01 assert (zenon_L132_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (ndr1_0) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H169 zenon_H14f zenon_H12 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Hd zenon_H15b zenon_H67 zenon_H1f zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L128_); trivial. % 0.82/1.01 apply (zenon_L98_); trivial. % 0.82/1.01 apply (zenon_L131_); trivial. % 0.82/1.01 (* end of lemma zenon_L132_ *) % 0.82/1.01 assert (zenon_L133_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp8)) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H13c zenon_H13d zenon_H86 zenon_H14 zenon_H15 zenon_H16 zenon_H89 zenon_H129 zenon_H122 zenon_H120. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.01 apply (zenon_L124_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L96_); trivial. % 0.82/1.01 apply (zenon_L97_); trivial. % 0.82/1.01 (* end of lemma zenon_L133_ *) % 0.82/1.01 assert (zenon_L134_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H34 zenon_H141 zenon_H13d zenon_H120 zenon_H122 zenon_H129 zenon_H86 zenon_H89 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L92_); trivial. % 0.82/1.01 apply (zenon_L133_); trivial. % 0.82/1.01 (* end of lemma zenon_L134_ *) % 0.82/1.01 assert (zenon_L135_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H38 zenon_H86 zenon_H89 zenon_H9 zenon_H11e zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H1f zenon_H67 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H14f zenon_H169. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L132_); trivial. % 0.82/1.01 apply (zenon_L134_); trivial. % 0.82/1.01 (* end of lemma zenon_L135_ *) % 0.82/1.01 assert (zenon_L136_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H103 zenon_H86 zenon_H89 zenon_H169 zenon_H14f zenon_H15b zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H78 zenon_H7a zenon_Ha8 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_Hf2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L122_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L7_); trivial. % 0.82/1.01 apply (zenon_L125_); trivial. % 0.82/1.01 apply (zenon_L135_); trivial. % 0.82/1.01 apply (zenon_L121_); trivial. % 0.82/1.01 (* end of lemma zenon_L136_ *) % 0.82/1.01 assert (zenon_L137_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H145 zenon_Hcf zenon_Hce zenon_Hcd zenon_H12 zenon_H59 zenon_H1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.82/1.01 apply (zenon_L57_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.82/1.01 exact (zenon_H59 zenon_H5a). % 0.82/1.01 exact (zenon_H1 zenon_H2). % 0.82/1.01 (* end of lemma zenon_L137_ *) % 0.82/1.01 assert (zenon_L138_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hbd zenon_H5b zenon_H57 zenon_H59. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.01 apply (zenon_L27_); trivial. % 0.82/1.01 (* end of lemma zenon_L138_ *) % 0.82/1.01 assert (zenon_L139_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hee zenon_Hc0 zenon_H5b zenon_H57 zenon_H59 zenon_H145. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.01 apply (zenon_L137_); trivial. % 0.82/1.01 apply (zenon_L138_); trivial. % 0.82/1.01 (* end of lemma zenon_L139_ *) % 0.82/1.01 assert (zenon_L140_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf1 zenon_Hc0 zenon_H5b zenon_H57 zenon_H59 zenon_H145 zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H7a zenon_H78 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H15b zenon_H14f zenon_H169 zenon_H89 zenon_H86 zenon_H103. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.01 apply (zenon_L136_); trivial. % 0.82/1.01 apply (zenon_L139_); trivial. % 0.82/1.01 (* end of lemma zenon_L140_ *) % 0.82/1.01 assert (zenon_L141_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha8 zenon_H129 zenon_H120 zenon_Ha4 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H6e zenon_H12. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.01 apply (zenon_L60_); trivial. % 0.82/1.01 apply (zenon_L94_); trivial. % 0.82/1.01 (* end of lemma zenon_L141_ *) % 0.82/1.01 assert (zenon_L142_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2f zenon_H13d zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H129 zenon_H122 zenon_H120 zenon_H7a zenon_H78 zenon_Hb. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 0.82/1.01 apply (zenon_L141_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.82/1.01 exact (zenon_H78 zenon_H79). % 0.82/1.01 exact (zenon_Hb zenon_Hc). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L96_); trivial. % 0.82/1.01 apply (zenon_L120_); trivial. % 0.82/1.01 (* end of lemma zenon_L142_ *) % 0.82/1.01 assert (zenon_L143_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(hskp3)) -> (~(hskp13)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H34 zenon_H35 zenon_H13d zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H78 zenon_Hb zenon_H7a zenon_H1f zenon_H21. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.01 apply (zenon_L12_); trivial. % 0.82/1.01 apply (zenon_L142_); trivial. % 0.82/1.01 (* end of lemma zenon_L143_ *) % 0.82/1.01 assert (zenon_L144_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H38 zenon_H35 zenon_H13d zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H78 zenon_H7a zenon_H1f zenon_H21 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L7_); trivial. % 0.82/1.01 apply (zenon_L143_); trivial. % 0.82/1.01 (* end of lemma zenon_L144_ *) % 0.82/1.01 assert (zenon_L145_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H13c zenon_H16a zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H10a zenon_H109 zenon_H108. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H9e | zenon_intro zenon_H16b ]. % 0.82/1.01 apply (zenon_L73_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H107 | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L82_); trivial. % 0.82/1.01 apply (zenon_L97_); trivial. % 0.82/1.01 (* end of lemma zenon_L145_ *) % 0.82/1.01 assert (zenon_L146_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H9 zenon_H11e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L92_); trivial. % 0.82/1.01 apply (zenon_L145_); trivial. % 0.82/1.01 (* end of lemma zenon_L146_ *) % 0.82/1.01 assert (zenon_L147_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H100 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H14f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L107_); trivial. % 0.82/1.01 apply (zenon_L145_); trivial. % 0.82/1.01 (* end of lemma zenon_L147_ *) % 0.82/1.01 assert (zenon_L148_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H103 zenon_H14f zenon_H4c zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Ha8 zenon_Hf2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L17_); trivial. % 0.82/1.01 apply (zenon_L146_); trivial. % 0.82/1.01 apply (zenon_L74_); trivial. % 0.82/1.01 apply (zenon_L147_); trivial. % 0.82/1.01 (* end of lemma zenon_L148_ *) % 0.82/1.01 assert (zenon_L149_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H104 zenon_Hf1 zenon_H78 zenon_H7a zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H141 zenon_H4c zenon_H14f zenon_H103. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.01 apply (zenon_L148_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L117_); trivial. % 0.82/1.01 apply (zenon_L147_); trivial. % 0.82/1.01 (* end of lemma zenon_L149_ *) % 0.82/1.01 assert (zenon_L150_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c3_1 (a907)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H5d zenon_H12 zenon_H16c zenon_H16d zenon_H16e. % 0.82/1.01 generalize (zenon_H5d (a907)). zenon_intro zenon_H16f. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H16f); [ zenon_intro zenon_H11 | zenon_intro zenon_H170 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H172 | zenon_intro zenon_H171 ]. % 0.82/1.01 exact (zenon_H16c zenon_H172). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H174 | zenon_intro zenon_H173 ]. % 0.82/1.01 exact (zenon_H174 zenon_H16d). % 0.82/1.01 exact (zenon_H173 zenon_H16e). % 0.82/1.01 (* end of lemma zenon_L150_ *) % 0.82/1.01 assert (zenon_L151_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a907)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H9e zenon_H12 zenon_H16c zenon_H5d zenon_H16d. % 0.82/1.01 generalize (zenon_H9e (a907)). zenon_intro zenon_H175. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_H11 | zenon_intro zenon_H176 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H172 | zenon_intro zenon_H177 ]. % 0.82/1.01 exact (zenon_H16c zenon_H172). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16e | zenon_intro zenon_H174 ]. % 0.82/1.01 apply (zenon_L150_); trivial. % 0.82/1.01 exact (zenon_H174 zenon_H16d). % 0.82/1.01 (* end of lemma zenon_L151_ *) % 0.82/1.01 assert (zenon_L152_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (ndr1_0) -> (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (~(hskp25)) -> (~(hskp21)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H15b zenon_H16d zenon_H16c zenon_H12 zenon_H9e zenon_H159 zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H5d | zenon_intro zenon_H15c ]. % 0.82/1.01 apply (zenon_L151_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15a | zenon_intro zenon_He ]. % 0.82/1.01 exact (zenon_H159 zenon_H15a). % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 (* end of lemma zenon_L152_ *) % 0.82/1.01 assert (zenon_L153_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H178 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H159 zenon_H12 zenon_H16c zenon_H16d zenon_H15b zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H147 | zenon_intro zenon_H179 ]. % 0.82/1.01 apply (zenon_L127_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H9e | zenon_intro zenon_He ]. % 0.82/1.01 apply (zenon_L152_); trivial. % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 (* end of lemma zenon_L153_ *) % 0.82/1.01 assert (zenon_L154_ : (~(hskp1)) -> (hskp1) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17a zenon_H17b. % 0.82/1.01 exact (zenon_H17a zenon_H17b). % 0.82/1.01 (* end of lemma zenon_L154_ *) % 0.82/1.01 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H166 zenon_H141 zenon_H17c zenon_H17a zenon_H14f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L130_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H147 | zenon_intro zenon_H17d ]. % 0.82/1.01 apply (zenon_L129_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H132 | zenon_intro zenon_H17b ]. % 0.82/1.01 apply (zenon_L97_); trivial. % 0.82/1.01 exact (zenon_H17a zenon_H17b). % 0.82/1.01 (* end of lemma zenon_L155_ *) % 0.82/1.01 assert (zenon_L156_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H169 zenon_H141 zenon_H17c zenon_H17a zenon_H14f zenon_H15b zenon_Hd zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12 zenon_H16d zenon_H16c zenon_H178. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.01 apply (zenon_L153_); trivial. % 0.82/1.01 apply (zenon_L155_); trivial. % 0.82/1.01 (* end of lemma zenon_L156_ *) % 0.82/1.01 assert (zenon_L157_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a916)) -> (c1_1 (a916)) -> (c0_1 (a916)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H17c zenon_Ha4 zenon_H14 zenon_H15 zenon_H16 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8 zenon_H135 zenon_H134 zenon_H133 zenon_H12 zenon_H17a. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H147 | zenon_intro zenon_H17d ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.01 apply (zenon_L43_); trivial. % 0.82/1.01 apply (zenon_L105_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H132 | zenon_intro zenon_H17b ]. % 0.82/1.01 apply (zenon_L97_); trivial. % 0.82/1.01 exact (zenon_H17a zenon_H17b). % 0.82/1.01 (* end of lemma zenon_L157_ *) % 0.82/1.01 assert (zenon_L158_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H34 zenon_H141 zenon_H17e zenon_H45 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H17a zenon_H17c zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.01 apply (zenon_L92_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H17f ]. % 0.82/1.01 apply (zenon_L157_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H46 ]. % 0.82/1.01 apply (zenon_L55_); trivial. % 0.82/1.01 exact (zenon_H45 zenon_H46). % 0.82/1.01 (* end of lemma zenon_L158_ *) % 0.82/1.01 assert (zenon_L159_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H38 zenon_H17e zenon_H45 zenon_Ha8 zenon_H9 zenon_H11e zenon_H178 zenon_H16c zenon_H16d zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L156_); trivial. % 0.82/1.01 apply (zenon_L158_); trivial. % 0.82/1.01 (* end of lemma zenon_L159_ *) % 0.82/1.01 assert (zenon_L160_ : (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22)))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H180 zenon_H12 zenon_H181 zenon_H182 zenon_H183. % 0.82/1.01 generalize (zenon_H180 (a904)). zenon_intro zenon_H184. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H184); [ zenon_intro zenon_H11 | zenon_intro zenon_H185 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H185); [ zenon_intro zenon_H187 | zenon_intro zenon_H186 ]. % 0.82/1.01 exact (zenon_H181 zenon_H187). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H189 | zenon_intro zenon_H188 ]. % 0.82/1.01 exact (zenon_H182 zenon_H189). % 0.82/1.01 exact (zenon_H188 zenon_H183). % 0.82/1.01 (* end of lemma zenon_L160_ *) % 0.82/1.01 assert (zenon_L161_ : (~(hskp17)) -> (hskp17) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18a zenon_H18b. % 0.82/1.01 exact (zenon_H18a zenon_H18b). % 0.82/1.01 (* end of lemma zenon_L161_ *) % 0.82/1.01 assert (zenon_L162_ : ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp17)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H9 zenon_H18a. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H180 | zenon_intro zenon_H18d ]. % 0.82/1.01 apply (zenon_L160_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_Ha | zenon_intro zenon_H18b ]. % 0.82/1.01 exact (zenon_H9 zenon_Ha). % 0.82/1.01 exact (zenon_H18a zenon_H18b). % 0.82/1.01 (* end of lemma zenon_L162_ *) % 0.82/1.01 assert (zenon_L163_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha4 zenon_H12 zenon_H18e zenon_H18f zenon_H190 zenon_H191. % 0.82/1.01 generalize (zenon_Ha4 (a936)). zenon_intro zenon_H192. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H192); [ zenon_intro zenon_H11 | zenon_intro zenon_H193 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.82/1.01 generalize (zenon_H18e (a936)). zenon_intro zenon_H196. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_H11 | zenon_intro zenon_H197 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_H199 | zenon_intro zenon_H198 ]. % 0.82/1.01 exact (zenon_H18f zenon_H199). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.82/1.01 exact (zenon_H190 zenon_H19b). % 0.82/1.01 exact (zenon_H19a zenon_H195). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H19c | zenon_intro zenon_H199 ]. % 0.82/1.01 exact (zenon_H191 zenon_H19c). % 0.82/1.01 exact (zenon_H18f zenon_H199). % 0.82/1.01 (* end of lemma zenon_L163_ *) % 0.82/1.01 assert (zenon_L164_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp6)) -> (~(hskp14)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H19d zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Ha4 zenon_H57 zenon_H1. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18e | zenon_intro zenon_H19e ]. % 0.82/1.01 apply (zenon_L163_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H58 | zenon_intro zenon_H2 ]. % 0.82/1.01 exact (zenon_H57 zenon_H58). % 0.82/1.01 exact (zenon_H1 zenon_H2). % 0.82/1.01 (* end of lemma zenon_L164_ *) % 0.82/1.01 assert (zenon_L165_ : ((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp14)) -> (~(hskp6)) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hb5 zenon_Hb3 zenon_H1 zenon_H57 zenon_H18f zenon_H190 zenon_H191 zenon_H19d zenon_H3c zenon_H3b zenon_H3a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.01 apply (zenon_L164_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.01 apply (zenon_L18_); trivial. % 0.82/1.01 apply (zenon_L45_); trivial. % 0.82/1.01 (* end of lemma zenon_L165_ *) % 0.82/1.01 assert (zenon_L166_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H19f zenon_Hb8 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H57 zenon_H19d zenon_H1 zenon_H3 zenon_H5. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.01 apply (zenon_L3_); trivial. % 0.82/1.01 apply (zenon_L165_); trivial. % 0.82/1.01 (* end of lemma zenon_L166_ *) % 0.82/1.01 assert (zenon_L167_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H57 zenon_H19d zenon_H1 zenon_H3 zenon_H5 zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.01 apply (zenon_L162_); trivial. % 0.82/1.01 apply (zenon_L166_); trivial. % 0.82/1.01 (* end of lemma zenon_L167_ *) % 0.82/1.01 assert (zenon_L168_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H5b zenon_H59 zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H5 zenon_H3 zenon_H19d zenon_H57 zenon_Hb3 zenon_Hb8 zenon_H1a2 zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L17_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.01 apply (zenon_L167_); trivial. % 0.82/1.01 apply (zenon_L138_); trivial. % 0.82/1.01 (* end of lemma zenon_L168_ *) % 0.82/1.01 assert (zenon_L169_ : (~(hskp9)) -> (hskp9) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1a3 zenon_H1a4. % 0.82/1.01 exact (zenon_H1a3 zenon_H1a4). % 0.82/1.01 (* end of lemma zenon_L169_ *) % 0.82/1.01 assert (zenon_L170_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp9)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H34 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_H1a3. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H13 | zenon_intro zenon_H1a6 ]. % 0.82/1.01 apply (zenon_L9_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H180 | zenon_intro zenon_H1a4 ]. % 0.82/1.01 apply (zenon_L160_); trivial. % 0.82/1.01 exact (zenon_H1a3 zenon_H1a4). % 0.82/1.01 (* end of lemma zenon_L170_ *) % 0.82/1.01 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Heb zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_H1f zenon_H67. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L29_); trivial. % 0.82/1.01 apply (zenon_L170_); trivial. % 0.82/1.01 (* end of lemma zenon_L171_ *) % 0.82/1.01 assert (zenon_L172_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf2 zenon_H1a5 zenon_H1a3 zenon_H67 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H57 zenon_H19d zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_L168_); trivial. % 0.82/1.01 apply (zenon_L171_); trivial. % 0.82/1.01 (* end of lemma zenon_L172_ *) % 0.82/1.01 assert (zenon_L173_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf1 zenon_H145 zenon_Hf2 zenon_H1a5 zenon_H1a3 zenon_H67 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H57 zenon_H19d zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c zenon_Hb9 zenon_Hcb zenon_H103. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L172_); trivial. % 0.82/1.01 apply (zenon_L78_); trivial. % 0.82/1.01 apply (zenon_L139_); trivial. % 0.82/1.01 (* end of lemma zenon_L173_ *) % 0.82/1.01 assert (zenon_L174_ : (~(hskp18)) -> (hskp18) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1a7 zenon_H1a8. % 0.82/1.01 exact (zenon_H1a7 zenon_H1a8). % 0.82/1.01 (* end of lemma zenon_L174_ *) % 0.82/1.01 assert (zenon_L175_ : (~(hskp19)) -> (hskp19) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1a9 zenon_H1aa. % 0.82/1.01 exact (zenon_H1a9 zenon_H1aa). % 0.82/1.01 (* end of lemma zenon_L175_ *) % 0.82/1.01 assert (zenon_L176_ : ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp19)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1a7 zenon_H1a9. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1ab); [ zenon_intro zenon_H180 | zenon_intro zenon_H1ac ]. % 0.82/1.01 apply (zenon_L160_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1a8 | zenon_intro zenon_H1aa ]. % 0.82/1.01 exact (zenon_H1a7 zenon_H1a8). % 0.82/1.01 exact (zenon_H1a9 zenon_H1aa). % 0.82/1.01 (* end of lemma zenon_L176_ *) % 0.82/1.01 assert (zenon_L177_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a938))) -> (c2_1 (a938)) -> (c3_1 (a938)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1ad zenon_H12 zenon_H1ae zenon_H1af zenon_H1b0. % 0.82/1.01 generalize (zenon_H1ad (a938)). zenon_intro zenon_H1b1. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H1b1); [ zenon_intro zenon_H11 | zenon_intro zenon_H1b2 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H1b3 ]. % 0.82/1.01 exact (zenon_H1ae zenon_H1b4). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1b3); [ zenon_intro zenon_H1b6 | zenon_intro zenon_H1b5 ]. % 0.82/1.01 exact (zenon_H1b6 zenon_H1af). % 0.82/1.01 exact (zenon_H1b5 zenon_H1b0). % 0.82/1.01 (* end of lemma zenon_L177_ *) % 0.82/1.01 assert (zenon_L178_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (c3_1 (a938)) -> (c2_1 (a938)) -> (~(c0_1 (a938))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp13)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1b7 zenon_H1b0 zenon_H1af zenon_H1ae zenon_H12 zenon_H59 zenon_Hb. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1b8 ]. % 0.82/1.01 apply (zenon_L177_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H5a | zenon_intro zenon_Hc ]. % 0.82/1.01 exact (zenon_H59 zenon_H5a). % 0.82/1.01 exact (zenon_Hb zenon_Hc). % 0.82/1.01 (* end of lemma zenon_L178_ *) % 0.82/1.01 assert (zenon_L179_ : ((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> (~(hskp13)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1b9 zenon_H1b7 zenon_H59 zenon_Hb. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1af. zenon_intro zenon_H1bb. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.82/1.01 apply (zenon_L178_); trivial. % 0.82/1.01 (* end of lemma zenon_L179_ *) % 0.82/1.01 assert (zenon_L180_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp13)) -> (~(hskp7)) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1bc zenon_H1b7 zenon_Hb zenon_H59 zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H1a7 zenon_H1ab. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1b9 ]. % 0.82/1.01 apply (zenon_L176_); trivial. % 0.82/1.01 apply (zenon_L179_); trivial. % 0.82/1.01 (* end of lemma zenon_L180_ *) % 0.82/1.01 assert (zenon_L181_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c2_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H9e zenon_H12 zenon_H1bd zenon_H12e zenon_H1be zenon_H1bf. % 0.82/1.01 generalize (zenon_H9e (a937)). zenon_intro zenon_H1c0. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c1 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.82/1.01 exact (zenon_H1bd zenon_H1c3). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ]. % 0.82/1.01 generalize (zenon_H12e (a937)). zenon_intro zenon_H1c6. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H1c6); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c7 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1c7); [ zenon_intro zenon_H1c9 | zenon_intro zenon_H1c8 ]. % 0.82/1.01 exact (zenon_H1be zenon_H1c9). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1c8); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1ca ]. % 0.82/1.01 exact (zenon_H1bd zenon_H1c3). % 0.82/1.01 exact (zenon_H1ca zenon_H1c5). % 0.82/1.01 exact (zenon_H1c4 zenon_H1bf). % 0.82/1.01 (* end of lemma zenon_L181_ *) % 0.82/1.01 assert (zenon_L182_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.82/1.01 do 0 intro. intros zenon_Ha8 zenon_H60 zenon_H5f zenon_H5e zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.01 apply (zenon_L181_); trivial. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 (* end of lemma zenon_L182_ *) % 0.82/1.01 assert (zenon_L183_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1cb zenon_H12 zenon_H1cc zenon_H1cd zenon_H1ce. % 0.82/1.01 generalize (zenon_H1cb (a910)). zenon_intro zenon_H1cf. % 0.82/1.01 apply (zenon_imply_s _ _ zenon_H1cf); [ zenon_intro zenon_H11 | zenon_intro zenon_H1d0 ]. % 0.82/1.01 exact (zenon_H11 zenon_H12). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1d2 | zenon_intro zenon_H1d1 ]. % 0.82/1.01 exact (zenon_H1cc zenon_H1d2). % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d1); [ zenon_intro zenon_H1d4 | zenon_intro zenon_H1d3 ]. % 0.82/1.01 exact (zenon_H1cd zenon_H1d4). % 0.82/1.01 exact (zenon_H1d3 zenon_H1ce). % 0.82/1.01 (* end of lemma zenon_L183_ *) % 0.82/1.01 assert (zenon_L184_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (ndr1_0) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1d5 zenon_H25 zenon_H26 zenon_H24 zenon_H132 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H12 zenon_H5e zenon_H5f zenon_H60. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.01 apply (zenon_L101_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.01 apply (zenon_L183_); trivial. % 0.82/1.01 apply (zenon_L28_); trivial. % 0.82/1.01 (* end of lemma zenon_L184_ *) % 0.82/1.01 assert (zenon_L185_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H2f zenon_H13d zenon_H14 zenon_H15 zenon_H16 zenon_H1bd zenon_H1be zenon_H1bf zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H5e zenon_H5f zenon_H60. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.01 apply (zenon_L44_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.01 apply (zenon_L182_); trivial. % 0.82/1.01 apply (zenon_L184_); trivial. % 0.82/1.01 (* end of lemma zenon_L185_ *) % 0.82/1.01 assert (zenon_L186_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H35 zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_Ha8 zenon_H21 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L29_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.01 apply (zenon_L12_); trivial. % 0.82/1.01 apply (zenon_L185_); trivial. % 0.82/1.01 (* end of lemma zenon_L186_ *) % 0.82/1.01 assert (zenon_L187_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1da zenon_H38 zenon_H35 zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_Ha8 zenon_H21 zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67 zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H59 zenon_Hb zenon_H1b7 zenon_H1bc. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.01 apply (zenon_L180_); trivial. % 0.82/1.01 apply (zenon_L186_); trivial. % 0.82/1.01 (* end of lemma zenon_L187_ *) % 0.82/1.01 assert (zenon_L188_ : ((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(hskp5)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1b9 zenon_H1db zenon_H3c zenon_H3b zenon_H3a zenon_Hb9. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1af. zenon_intro zenon_H1bb. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H39 | zenon_intro zenon_H1dc ]. % 0.82/1.01 apply (zenon_L18_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ad | zenon_intro zenon_Hba ]. % 0.82/1.01 apply (zenon_L177_); trivial. % 0.82/1.01 exact (zenon_Hb9 zenon_Hba). % 0.82/1.01 (* end of lemma zenon_L188_ *) % 0.82/1.01 assert (zenon_L189_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1bc zenon_H1db zenon_Hb9 zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H1a7 zenon_H1ab. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1b9 ]. % 0.82/1.01 apply (zenon_L176_); trivial. % 0.82/1.01 apply (zenon_L188_); trivial. % 0.82/1.01 (* end of lemma zenon_L189_ *) % 0.82/1.01 assert (zenon_L190_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hb9 zenon_H1db zenon_H1bc zenon_H1b7 zenon_H59 zenon_H181 zenon_H182 zenon_H183 zenon_H1ab zenon_H67 zenon_H1f zenon_H21 zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H35 zenon_H38 zenon_H1da. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.01 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L187_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.01 apply (zenon_L189_); trivial. % 0.82/1.01 apply (zenon_L186_); trivial. % 0.82/1.01 (* end of lemma zenon_L190_ *) % 0.82/1.01 assert (zenon_L191_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf2 zenon_Hb9 zenon_H1db zenon_H1bc zenon_H1b7 zenon_H1ab zenon_H67 zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H1da zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H57 zenon_H19d zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_L168_); trivial. % 0.82/1.01 apply (zenon_L190_); trivial. % 0.82/1.01 (* end of lemma zenon_L191_ *) % 0.82/1.01 assert (zenon_L192_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H145 zenon_Hf2 zenon_Hb9 zenon_H1db zenon_H1bc zenon_H1b7 zenon_H1ab zenon_H67 zenon_Ha8 zenon_H1d5 zenon_H13d zenon_H1da zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H57 zenon_H19d zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c zenon_Hcb zenon_H103. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L191_); trivial. % 0.82/1.01 apply (zenon_L78_); trivial. % 0.82/1.01 apply (zenon_L139_); trivial. % 0.82/1.01 (* end of lemma zenon_L192_ *) % 0.82/1.01 assert (zenon_L193_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L7_); trivial. % 0.82/1.01 apply (zenon_L170_); trivial. % 0.82/1.01 (* end of lemma zenon_L193_ *) % 0.82/1.01 assert (zenon_L194_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H4c zenon_H141 zenon_Ha8 zenon_H2d zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H9 zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L193_); trivial. % 0.82/1.01 apply (zenon_L115_); trivial. % 0.82/1.01 (* end of lemma zenon_L194_ *) % 0.82/1.01 assert (zenon_L195_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H141 zenon_H4c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_L194_); trivial. % 0.82/1.01 apply (zenon_L74_); trivial. % 0.82/1.01 (* end of lemma zenon_L195_ *) % 0.82/1.01 assert (zenon_L196_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (ndr1_0) -> (~(hskp21)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H178 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_Hd. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H147 | zenon_intro zenon_H179 ]. % 0.82/1.01 apply (zenon_L106_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H9e | zenon_intro zenon_He ]. % 0.82/1.01 apply (zenon_L73_); trivial. % 0.82/1.01 exact (zenon_Hd zenon_He). % 0.82/1.01 (* end of lemma zenon_L196_ *) % 0.82/1.01 assert (zenon_L197_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H103 zenon_H178 zenon_H4c zenon_H141 zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38 zenon_Hf2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.01 apply (zenon_L195_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L196_); trivial. % 0.82/1.01 apply (zenon_L170_); trivial. % 0.82/1.01 (* end of lemma zenon_L197_ *) % 0.82/1.01 assert (zenon_L198_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_H141 zenon_H4c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L17_); trivial. % 0.82/1.01 apply (zenon_L115_); trivial. % 0.82/1.01 apply (zenon_L74_); trivial. % 0.82/1.01 (* end of lemma zenon_L198_ *) % 0.82/1.01 assert (zenon_L199_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp1)) -> (~(hskp23)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1e0 zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_Ha4 zenon_H17a zenon_H69. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H18e | zenon_intro zenon_H1e1 ]. % 0.82/1.01 apply (zenon_L163_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H17b | zenon_intro zenon_H6a ]. % 0.82/1.01 exact (zenon_H17a zenon_H17b). % 0.82/1.01 exact (zenon_H69 zenon_H6a). % 0.82/1.01 (* end of lemma zenon_L199_ *) % 0.82/1.01 assert (zenon_L200_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp23)) -> (ndr1_0) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1e2 zenon_H69 zenon_H12 zenon_H18f zenon_H190 zenon_H191 zenon_H1e0 zenon_H17a zenon_H43. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H1e3 ]. % 0.82/1.01 apply (zenon_L199_); trivial. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H17b | zenon_intro zenon_H44 ]. % 0.82/1.01 exact (zenon_H17a zenon_H17b). % 0.82/1.01 exact (zenon_H43 zenon_H44). % 0.82/1.01 (* end of lemma zenon_L200_ *) % 0.82/1.01 assert (zenon_L201_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H191 zenon_H190 zenon_H18f zenon_H43 zenon_H1e2. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.01 apply (zenon_L200_); trivial. % 0.82/1.01 apply (zenon_L37_); trivial. % 0.82/1.01 (* end of lemma zenon_L201_ *) % 0.82/1.01 assert (zenon_L202_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H191 zenon_H190 zenon_H18f zenon_H43 zenon_H1e2 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L7_); trivial. % 0.82/1.01 apply (zenon_L201_); trivial. % 0.82/1.01 (* end of lemma zenon_L202_ *) % 0.82/1.01 assert (zenon_L203_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H1a2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_Hb zenon_Hf zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.01 apply (zenon_L162_); trivial. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.01 apply (zenon_L202_); trivial. % 0.82/1.01 (* end of lemma zenon_L203_ *) % 0.82/1.01 assert (zenon_L204_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H49 zenon_H38 zenon_H141 zenon_H17e zenon_H45 zenon_H17a zenon_H17c zenon_H9 zenon_H11e zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.01 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.01 apply (zenon_L196_); trivial. % 0.82/1.01 apply (zenon_L158_); trivial. % 0.82/1.01 (* end of lemma zenon_L204_ *) % 0.82/1.01 assert (zenon_L205_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H4c zenon_H141 zenon_H17e zenon_H45 zenon_H17c zenon_H11e zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_Hf zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H86 zenon_H89 zenon_H8d zenon_H38 zenon_H1a2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L203_); trivial. % 0.82/1.01 apply (zenon_L204_); trivial. % 0.82/1.01 (* end of lemma zenon_L205_ *) % 0.82/1.01 assert (zenon_L206_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.82/1.01 do 0 intro. intros zenon_H4c zenon_H141 zenon_Ha8 zenon_H2d zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_Hf zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H86 zenon_H89 zenon_H8d zenon_H38 zenon_H1a2. % 0.82/1.01 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.01 apply (zenon_L203_); trivial. % 0.82/1.01 apply (zenon_L115_); trivial. % 0.82/1.01 (* end of lemma zenon_L206_ *) % 0.82/1.01 assert (zenon_L207_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf2 zenon_H1a2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_Hf zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H141 zenon_H4c. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_L206_); trivial. % 0.82/1.02 apply (zenon_L74_); trivial. % 0.82/1.02 (* end of lemma zenon_L207_ *) % 0.82/1.02 assert (zenon_L208_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Heb zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L57_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L28_); trivial. % 0.82/1.02 (* end of lemma zenon_L208_ *) % 0.82/1.02 assert (zenon_L209_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H14f zenon_H11c zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12 zenon_H5d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H147 | zenon_intro zenon_H11d ]. % 0.82/1.02 apply (zenon_L105_); trivial. % 0.82/1.02 exact (zenon_H11c zenon_H11d). % 0.82/1.02 (* end of lemma zenon_L209_ *) % 0.82/1.02 assert (zenon_L210_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d5 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H14f zenon_H11c zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H147 | zenon_intro zenon_H11d ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L60_); trivial. % 0.82/1.02 apply (zenon_L105_); trivial. % 0.82/1.02 exact (zenon_H11c zenon_H11d). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L209_); trivial. % 0.82/1.02 (* end of lemma zenon_L210_ *) % 0.82/1.02 assert (zenon_L211_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H100 zenon_H141 zenon_H17c zenon_H17a zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.02 apply (zenon_L210_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H147 | zenon_intro zenon_H17d ]. % 0.82/1.02 apply (zenon_L106_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H132 | zenon_intro zenon_H17b ]. % 0.82/1.02 apply (zenon_L97_); trivial. % 0.82/1.02 exact (zenon_H17a zenon_H17b). % 0.82/1.02 (* end of lemma zenon_L211_ *) % 0.82/1.02 assert (zenon_L212_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H103 zenon_H17c zenon_H17a zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H4c zenon_H141 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L198_); trivial. % 0.82/1.02 apply (zenon_L211_); trivial. % 0.82/1.02 (* end of lemma zenon_L212_ *) % 0.82/1.02 assert (zenon_L213_ : (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a954))) -> (c1_1 (a954)) -> (c3_1 (a954)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H5d zenon_H12 zenon_Hea zenon_H7e zenon_H7f. % 0.82/1.02 generalize (zenon_H5d (a954)). zenon_intro zenon_He4. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_H11 | zenon_intro zenon_He5 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He6 | zenon_intro zenon_H82 ]. % 0.82/1.02 exact (zenon_Hea zenon_He6). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.82/1.02 exact (zenon_H85 zenon_H7e). % 0.82/1.02 exact (zenon_H84 zenon_H7f). % 0.82/1.02 (* end of lemma zenon_L213_ *) % 0.82/1.02 assert (zenon_L214_ : (forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (c1_1 (a954)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c3_1 (a954)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H23 zenon_H12 zenon_H7e zenon_H5d zenon_H7f. % 0.82/1.02 generalize (zenon_H23 (a954)). zenon_intro zenon_H1e4. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1e4); [ zenon_intro zenon_H11 | zenon_intro zenon_H1e5 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e5); [ zenon_intro zenon_H85 | zenon_intro zenon_H1e6 ]. % 0.82/1.02 exact (zenon_H85 zenon_H7e). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_Hea | zenon_intro zenon_H84 ]. % 0.82/1.02 apply (zenon_L213_); trivial. % 0.82/1.02 exact (zenon_H84 zenon_H7f). % 0.82/1.02 (* end of lemma zenon_L214_ *) % 0.82/1.02 assert (zenon_L215_ : ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c3_1 (a954)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a954)) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp12)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H30 zenon_H7f zenon_H5d zenon_H7e zenon_H12 zenon_H2d zenon_H9. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H30); [ zenon_intro zenon_H23 | zenon_intro zenon_H33 ]. % 0.82/1.02 apply (zenon_L214_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H2e | zenon_intro zenon_Ha ]. % 0.82/1.02 exact (zenon_H2d zenon_H2e). % 0.82/1.02 exact (zenon_H9 zenon_Ha). % 0.82/1.02 (* end of lemma zenon_L215_ *) % 0.82/1.02 assert (zenon_L216_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H88 zenon_Ha8 zenon_H2d zenon_H9 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L73_); trivial. % 0.82/1.02 apply (zenon_L215_); trivial. % 0.82/1.02 (* end of lemma zenon_L216_ *) % 0.82/1.02 assert (zenon_L217_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf2 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H8d zenon_H1a2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.02 apply (zenon_L200_); trivial. % 0.82/1.02 apply (zenon_L216_); trivial. % 0.82/1.02 apply (zenon_L208_); trivial. % 0.82/1.02 (* end of lemma zenon_L217_ *) % 0.82/1.02 assert (zenon_L218_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hfc zenon_H1e7 zenon_Hf1 zenon_H1a2 zenon_H8d zenon_H1e0 zenon_H43 zenon_H1e2 zenon_H18c zenon_H35 zenon_H21 zenon_H1d5 zenon_H14f zenon_H17a zenon_H17c zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H178 zenon_H103. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.02 apply (zenon_L197_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.02 apply (zenon_L212_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L217_); trivial. % 0.82/1.02 apply (zenon_L211_); trivial. % 0.82/1.02 (* end of lemma zenon_L218_ *) % 0.82/1.02 assert (zenon_L219_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp25)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Ha8 zenon_H60 zenon_H5f zenon_H5e zenon_H12 zenon_H16c zenon_H16d zenon_H159 zenon_Hd zenon_H15b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L152_); trivial. % 0.82/1.02 apply (zenon_L28_); trivial. % 0.82/1.02 (* end of lemma zenon_L219_ *) % 0.82/1.02 assert (zenon_L220_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (ndr1_0) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H169 zenon_H141 zenon_H17c zenon_H17a zenon_H14f zenon_H15b zenon_Hd zenon_H16d zenon_H16c zenon_H12 zenon_H5e zenon_H5f zenon_H60 zenon_Ha8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.02 apply (zenon_L219_); trivial. % 0.82/1.02 apply (zenon_L155_); trivial. % 0.82/1.02 (* end of lemma zenon_L220_ *) % 0.82/1.02 assert (zenon_L221_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Heb zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Ha8 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.02 apply (zenon_L220_); trivial. % 0.82/1.02 apply (zenon_L170_); trivial. % 0.82/1.02 (* end of lemma zenon_L221_ *) % 0.82/1.02 assert (zenon_L222_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf2 zenon_Ha8 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H43 zenon_H45 zenon_H47 zenon_H4c. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_L193_); trivial. % 0.82/1.02 apply (zenon_L22_); trivial. % 0.82/1.02 apply (zenon_L221_); trivial. % 0.82/1.02 (* end of lemma zenon_L222_ *) % 0.82/1.02 assert (zenon_L223_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H18e zenon_H12 zenon_H16c zenon_H5d zenon_H16d zenon_H1e8. % 0.82/1.02 generalize (zenon_H18e (a907)). zenon_intro zenon_H1e9. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1e9); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ea ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H172 | zenon_intro zenon_H1eb ]. % 0.82/1.02 exact (zenon_H16c zenon_H172). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H16e | zenon_intro zenon_H1ec ]. % 0.82/1.02 apply (zenon_L150_); trivial. % 0.82/1.02 exact (zenon_H1ec zenon_H1e8). % 0.82/1.02 (* end of lemma zenon_L223_ *) % 0.82/1.02 assert (zenon_L224_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H18e zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L57_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L223_); trivial. % 0.82/1.02 (* end of lemma zenon_L224_ *) % 0.82/1.02 assert (zenon_L225_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp1)) -> (~(hskp23)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e0 zenon_H1e8 zenon_H16d zenon_H16c zenon_H12 zenon_H1cc zenon_H1cd zenon_H1ce zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H17a zenon_H69. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H18e | zenon_intro zenon_H1e1 ]. % 0.82/1.02 apply (zenon_L224_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H17b | zenon_intro zenon_H6a ]. % 0.82/1.02 exact (zenon_H17a zenon_H17b). % 0.82/1.02 exact (zenon_H69 zenon_H6a). % 0.82/1.02 (* end of lemma zenon_L225_ *) % 0.82/1.02 assert (zenon_L226_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H17a zenon_H1e0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.02 apply (zenon_L225_); trivial. % 0.82/1.02 apply (zenon_L37_); trivial. % 0.82/1.02 (* end of lemma zenon_L226_ *) % 0.82/1.02 assert (zenon_L227_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H17a zenon_H1e0 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.02 apply (zenon_L7_); trivial. % 0.82/1.02 apply (zenon_L226_); trivial. % 0.82/1.02 (* end of lemma zenon_L227_ *) % 0.82/1.02 assert (zenon_L228_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp2)) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_H17a zenon_H1e0 zenon_Hf zenon_H43 zenon_H45 zenon_H47 zenon_H4c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_L227_); trivial. % 0.82/1.02 apply (zenon_L22_); trivial. % 0.82/1.02 apply (zenon_L208_); trivial. % 0.82/1.02 (* end of lemma zenon_L228_ *) % 0.82/1.02 assert (zenon_L229_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H18e zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H6e zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L60_); trivial. % 0.82/1.02 apply (zenon_L223_); trivial. % 0.82/1.02 (* end of lemma zenon_L229_ *) % 0.82/1.02 assert (zenon_L230_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H18e zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L229_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L223_); trivial. % 0.82/1.02 (* end of lemma zenon_L230_ *) % 0.82/1.02 assert (zenon_L231_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (ndr1_0) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp1)) -> (~(hskp23)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e0 zenon_H1e8 zenon_H16d zenon_H16c zenon_H12 zenon_H1cc zenon_H1cd zenon_H1ce zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H17a zenon_H69. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H18e | zenon_intro zenon_H1e1 ]. % 0.82/1.02 apply (zenon_L230_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H17b | zenon_intro zenon_H6a ]. % 0.82/1.02 exact (zenon_H17a zenon_H17b). % 0.82/1.02 exact (zenon_H69 zenon_H6a). % 0.82/1.02 (* end of lemma zenon_L231_ *) % 0.82/1.02 assert (zenon_L232_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_Ha8 zenon_H60 zenon_H5f zenon_H5e zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H6e zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L60_); trivial. % 0.82/1.02 apply (zenon_L28_); trivial. % 0.82/1.02 (* end of lemma zenon_L232_ *) % 0.82/1.02 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Heb zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L232_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L28_); trivial. % 0.82/1.02 (* end of lemma zenon_L233_ *) % 0.82/1.02 assert (zenon_L234_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (ndr1_0) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf2 zenon_H1e0 zenon_H17a zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H12 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H30 zenon_H2d zenon_H8d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.02 apply (zenon_L231_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L62_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L215_); trivial. % 0.82/1.02 apply (zenon_L233_); trivial. % 0.82/1.02 (* end of lemma zenon_L234_ *) % 0.82/1.02 assert (zenon_L235_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1dd zenon_H103 zenon_Hcb zenon_H59 zenon_Hb9 zenon_H8d zenon_H30 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_Hf2. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L234_); trivial. % 0.82/1.02 apply (zenon_L78_); trivial. % 0.82/1.02 (* end of lemma zenon_L235_ *) % 0.82/1.02 assert (zenon_L236_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H4c zenon_H17e zenon_H45 zenon_Ha8 zenon_H11e zenon_H178 zenon_H16c zenon_H16d zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_Hf zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H86 zenon_H89 zenon_H8d zenon_H38 zenon_H1a2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_L203_); trivial. % 0.82/1.02 apply (zenon_L159_); trivial. % 0.82/1.02 (* end of lemma zenon_L236_ *) % 0.82/1.02 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1a2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H169 zenon_H141 zenon_H17c zenon_H14f zenon_H15b zenon_H16d zenon_H16c zenon_H178 zenon_H11e zenon_Ha8 zenon_H45 zenon_H17e zenon_H4c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_L236_); trivial. % 0.82/1.02 apply (zenon_L74_); trivial. % 0.82/1.02 (* end of lemma zenon_L237_ *) % 0.82/1.02 assert (zenon_L238_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Ha4 zenon_H12 zenon_Ha9 zenon_H191 zenon_H190 zenon_H18f. % 0.82/1.02 generalize (zenon_Ha4 (a936)). zenon_intro zenon_H192. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H192); [ zenon_intro zenon_H11 | zenon_intro zenon_H193 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H195 | zenon_intro zenon_H194 ]. % 0.82/1.02 generalize (zenon_Ha9 (a936)). zenon_intro zenon_H1ed. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1ed); [ zenon_intro zenon_H11 | zenon_intro zenon_H1ee ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H19c | zenon_intro zenon_H198 ]. % 0.82/1.02 exact (zenon_H191 zenon_H19c). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H198); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.82/1.02 exact (zenon_H190 zenon_H19b). % 0.82/1.02 exact (zenon_H19a zenon_H195). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_H19c | zenon_intro zenon_H199 ]. % 0.82/1.02 exact (zenon_H191 zenon_H19c). % 0.82/1.02 exact (zenon_H18f zenon_H199). % 0.82/1.02 (* end of lemma zenon_L238_ *) % 0.82/1.02 assert (zenon_L239_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_Ha9 zenon_H12 zenon_H108 zenon_H10a zenon_H109. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.82/1.02 apply (zenon_L238_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.82/1.02 apply (zenon_L82_); trivial. % 0.82/1.02 apply (zenon_L83_); trivial. % 0.82/1.02 (* end of lemma zenon_L239_ *) % 0.82/1.02 assert (zenon_L240_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp14)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H19f zenon_Hb3 zenon_H1 zenon_H57 zenon_H19d zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H108 zenon_H10a zenon_H109. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.02 apply (zenon_L164_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.02 apply (zenon_L18_); trivial. % 0.82/1.02 apply (zenon_L239_); trivial. % 0.82/1.02 (* end of lemma zenon_L240_ *) % 0.82/1.02 assert (zenon_L241_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H5b zenon_H59 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H19d zenon_H57 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 apply (zenon_L240_); trivial. % 0.82/1.02 apply (zenon_L138_); trivial. % 0.82/1.02 (* end of lemma zenon_L241_ *) % 0.82/1.02 assert (zenon_L242_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H5b zenon_H59 zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H19d zenon_H57 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_L17_); trivial. % 0.82/1.02 apply (zenon_L241_); trivial. % 0.82/1.02 (* end of lemma zenon_L242_ *) % 0.82/1.02 assert (zenon_L243_ : (~(hskp29)) -> (hskp29) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1ef zenon_H1f0. % 0.82/1.02 exact (zenon_H1ef zenon_H1f0). % 0.82/1.02 (* end of lemma zenon_L243_ *) % 0.82/1.02 assert (zenon_L244_ : ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp21)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp29)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1f1 zenon_H183 zenon_H182 zenon_H181 zenon_Hd zenon_H159 zenon_H12 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H1ef. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H180 | zenon_intro zenon_H1f2 ]. % 0.82/1.02 apply (zenon_L160_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f0 ]. % 0.82/1.02 apply (zenon_L127_); trivial. % 0.82/1.02 exact (zenon_H1ef zenon_H1f0). % 0.82/1.02 (* end of lemma zenon_L244_ *) % 0.82/1.02 assert (zenon_L245_ : (forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48)))))) -> (ndr1_0) -> (c0_1 (a933)) -> (c2_1 (a933)) -> (c3_1 (a933)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H70 zenon_H12 zenon_H1f3 zenon_H1f4 zenon_H1f5. % 0.82/1.02 generalize (zenon_H70 (a933)). zenon_intro zenon_H1f6. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1f6); [ zenon_intro zenon_H11 | zenon_intro zenon_H1f7 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f7); [ zenon_intro zenon_H1f9 | zenon_intro zenon_H1f8 ]. % 0.82/1.02 exact (zenon_H1f9 zenon_H1f3). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1fb | zenon_intro zenon_H1fa ]. % 0.82/1.02 exact (zenon_H1fb zenon_H1f4). % 0.82/1.02 exact (zenon_H1fa zenon_H1f5). % 0.82/1.02 (* end of lemma zenon_L245_ *) % 0.82/1.02 assert (zenon_L246_ : ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a933)) -> (c2_1 (a933)) -> (c0_1 (a933)) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1fc zenon_H18f zenon_H190 zenon_H191 zenon_Ha4 zenon_H1f5 zenon_H1f4 zenon_H1f3 zenon_H12 zenon_H1a3. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_Ha9 | zenon_intro zenon_H1fd ]. % 0.82/1.02 apply (zenon_L238_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H70 | zenon_intro zenon_H1a4 ]. % 0.82/1.02 apply (zenon_L245_); trivial. % 0.82/1.02 exact (zenon_H1a3 zenon_H1a4). % 0.82/1.02 (* end of lemma zenon_L246_ *) % 0.82/1.02 assert (zenon_L247_ : ((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1fe zenon_Hb3 zenon_H1a3 zenon_H1fc zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H108 zenon_H10a zenon_H109. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H12. zenon_intro zenon_H1ff. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f3. zenon_intro zenon_H200. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.02 apply (zenon_L246_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.02 apply (zenon_L18_); trivial. % 0.82/1.02 apply (zenon_L239_); trivial. % 0.82/1.02 (* end of lemma zenon_L247_ *) % 0.82/1.02 assert (zenon_L248_ : ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (c3_1 (a960)) -> (c0_1 (a960)) -> (~(c1_1 (a960))) -> (ndr1_0) -> (~(hskp29)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1f1 zenon_H183 zenon_H182 zenon_H181 zenon_H15f zenon_H15e zenon_H15d zenon_H12 zenon_H1ef. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H180 | zenon_intro zenon_H1f2 ]. % 0.82/1.02 apply (zenon_L160_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f0 ]. % 0.82/1.02 apply (zenon_L129_); trivial. % 0.82/1.02 exact (zenon_H1ef zenon_H1f0). % 0.82/1.02 (* end of lemma zenon_L248_ *) % 0.82/1.02 assert (zenon_L249_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(hskp9)) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H166 zenon_H201 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H3c zenon_H3b zenon_H3a zenon_H191 zenon_H190 zenon_H18f zenon_H1a3 zenon_H1fc zenon_H181 zenon_H182 zenon_H183 zenon_H1f1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1fe ]. % 0.82/1.02 apply (zenon_L248_); trivial. % 0.82/1.02 apply (zenon_L247_); trivial. % 0.82/1.02 (* end of lemma zenon_L249_ *) % 0.82/1.02 assert (zenon_L250_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H4c zenon_H1a2 zenon_H201 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H1fc zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H1f1 zenon_H169 zenon_H18c zenon_Hf zenon_H9 zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_L193_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1fe ]. % 0.82/1.02 apply (zenon_L244_); trivial. % 0.82/1.02 apply (zenon_L247_); trivial. % 0.82/1.02 apply (zenon_L249_); trivial. % 0.82/1.02 apply (zenon_L170_); trivial. % 0.82/1.02 (* end of lemma zenon_L250_ *) % 0.82/1.02 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_H1f zenon_H67 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H18c zenon_H169 zenon_H1f1 zenon_H15b zenon_H1fc zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H201 zenon_H1a2 zenon_H4c. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_L250_); trivial. % 0.82/1.02 apply (zenon_L171_); trivial. % 0.82/1.02 (* end of lemma zenon_L251_ *) % 0.82/1.02 assert (zenon_L252_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H103 zenon_H169 zenon_H1f1 zenon_H15b zenon_H1fc zenon_H201 zenon_H4c zenon_Hc0 zenon_H5b zenon_H59 zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H19d zenon_H57 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H67 zenon_H1a3 zenon_H1a5 zenon_Hf2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_L242_); trivial. % 0.82/1.02 apply (zenon_L171_); trivial. % 0.82/1.02 apply (zenon_L251_); trivial. % 0.82/1.02 (* end of lemma zenon_L252_ *) % 0.82/1.02 assert (zenon_L253_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf1 zenon_H145 zenon_Hf2 zenon_H1a5 zenon_H1a3 zenon_H67 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H57 zenon_H19d zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c zenon_H201 zenon_H1fc zenon_H15b zenon_H1f1 zenon_H169 zenon_H103. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.02 apply (zenon_L252_); trivial. % 0.82/1.02 apply (zenon_L139_); trivial. % 0.82/1.02 (* end of lemma zenon_L253_ *) % 0.82/1.02 assert (zenon_L254_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H1bc zenon_H1b7 zenon_H59 zenon_H181 zenon_H182 zenon_H183 zenon_H1ab zenon_H67 zenon_H1f zenon_H21 zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H35 zenon_H38 zenon_H1da. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_L187_); trivial. % 0.82/1.02 apply (zenon_L86_); trivial. % 0.82/1.02 (* end of lemma zenon_L254_ *) % 0.82/1.02 assert (zenon_L255_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf2 zenon_H1bc zenon_H1b7 zenon_H1ab zenon_H67 zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H1da zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H57 zenon_H19d zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_L242_); trivial. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 (* end of lemma zenon_L255_ *) % 0.82/1.02 assert (zenon_L256_ : (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (ndr1_0) -> (~(c2_1 (a937))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a937)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H9e zenon_H12 zenon_H1bd zenon_H5d zenon_H1bf. % 0.82/1.02 generalize (zenon_H9e (a937)). zenon_intro zenon_H1c0. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H11 | zenon_intro zenon_H1c1 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.82/1.02 exact (zenon_H1bd zenon_H1c3). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ]. % 0.82/1.02 generalize (zenon_H5d (a937)). zenon_intro zenon_H202. % 0.82/1.02 apply (zenon_imply_s _ _ zenon_H202); [ zenon_intro zenon_H11 | zenon_intro zenon_H203 ]. % 0.82/1.02 exact (zenon_H11 zenon_H12). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H204 ]. % 0.82/1.02 exact (zenon_H1bd zenon_H1c3). % 0.82/1.02 apply (zenon_or_s _ _ zenon_H204); [ zenon_intro zenon_H1c4 | zenon_intro zenon_H1ca ]. % 0.82/1.02 exact (zenon_H1c4 zenon_H1bf). % 0.82/1.02 exact (zenon_H1ca zenon_H1c5). % 0.82/1.02 exact (zenon_H1c4 zenon_H1bf). % 0.82/1.02 (* end of lemma zenon_L256_ *) % 0.82/1.02 assert (zenon_L257_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> (ndr1_0) -> (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (~(hskp10)) -> (~(hskp21)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H67 zenon_H1bf zenon_H1bd zenon_H12 zenon_H9e zenon_H1f zenon_Hd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H5d | zenon_intro zenon_H68 ]. % 0.82/1.02 apply (zenon_L256_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H20 | zenon_intro zenon_He ]. % 0.82/1.02 exact (zenon_H1f zenon_H20). % 0.82/1.02 exact (zenon_Hd zenon_He). % 0.82/1.02 (* end of lemma zenon_L257_ *) % 0.82/1.02 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> (~(c2_1 (a937))) -> (c1_1 (a937)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp21)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H166 zenon_H178 zenon_H1f zenon_H1bd zenon_H1bf zenon_H67 zenon_Hd. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H147 | zenon_intro zenon_H179 ]. % 0.82/1.02 apply (zenon_L129_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H9e | zenon_intro zenon_He ]. % 0.82/1.02 apply (zenon_L257_); trivial. % 0.82/1.02 exact (zenon_Hd zenon_He). % 0.82/1.02 (* end of lemma zenon_L258_ *) % 0.82/1.02 assert (zenon_L259_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H169 zenon_H15b zenon_Hd zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12 zenon_H67 zenon_H1f zenon_H1bf zenon_H1bd zenon_H178. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H147 | zenon_intro zenon_H179 ]. % 0.82/1.02 apply (zenon_L127_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H9e | zenon_intro zenon_He ]. % 0.82/1.02 apply (zenon_L257_); trivial. % 0.82/1.02 exact (zenon_Hd zenon_He). % 0.82/1.02 apply (zenon_L258_); trivial. % 0.82/1.02 (* end of lemma zenon_L259_ *) % 0.82/1.02 assert (zenon_L260_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a937)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(c2_1 (a937))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (c1_1 (a900)) -> (c3_1 (a900)) -> (c2_1 (a900)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H16a zenon_H1bf zenon_H5d zenon_H1bd zenon_H10a zenon_H109 zenon_H108 zenon_H6e zenon_H12 zenon_H24 zenon_H26 zenon_H25. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H9e | zenon_intro zenon_H16b ]. % 0.82/1.02 apply (zenon_L256_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H107 | zenon_intro zenon_H132 ]. % 0.82/1.02 apply (zenon_L82_); trivial. % 0.82/1.02 apply (zenon_L101_); trivial. % 0.82/1.02 (* end of lemma zenon_L260_ *) % 0.82/1.02 assert (zenon_L261_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> (~(c2_1 (a937))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H145 zenon_H25 zenon_H26 zenon_H24 zenon_H12 zenon_H108 zenon_H109 zenon_H10a zenon_H1bd zenon_H5d zenon_H1bf zenon_H16a zenon_H59 zenon_H1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.82/1.02 apply (zenon_L260_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.82/1.02 exact (zenon_H59 zenon_H5a). % 0.82/1.02 exact (zenon_H1 zenon_H2). % 0.82/1.02 (* end of lemma zenon_L261_ *) % 0.82/1.02 assert (zenon_L262_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a937))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> (~(c2_1 (a937))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d5 zenon_H12e zenon_H1be zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H145 zenon_H25 zenon_H26 zenon_H24 zenon_H12 zenon_H108 zenon_H109 zenon_H10a zenon_H1bd zenon_H1bf zenon_H16a zenon_H59 zenon_H1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L181_); trivial. % 0.82/1.02 apply (zenon_L260_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L261_); trivial. % 0.82/1.02 (* end of lemma zenon_L262_ *) % 0.82/1.02 assert (zenon_L263_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp6)) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c0_1 (a937))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H2f zenon_H13d zenon_H57 zenon_H18f zenon_H190 zenon_H191 zenon_H19d zenon_H16a zenon_H1bf zenon_H1bd zenon_H10a zenon_H109 zenon_H108 zenon_H1cc zenon_H1cd zenon_H1ce zenon_Ha8 zenon_H1be zenon_H1d5 zenon_H145 zenon_H59 zenon_H1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.02 apply (zenon_L164_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.02 apply (zenon_L262_); trivial. % 0.82/1.02 apply (zenon_L102_); trivial. % 0.82/1.02 (* end of lemma zenon_L263_ *) % 0.82/1.02 assert (zenon_L264_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e7 zenon_H1bc zenon_H1b7 zenon_H1ab zenon_Ha8 zenon_H1d5 zenon_H13d zenon_H1da zenon_H16a zenon_H178 zenon_H103 zenon_H169 zenon_H1f1 zenon_H15b zenon_H1fc zenon_H201 zenon_H4c zenon_Hc0 zenon_H5b zenon_H59 zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H19d zenon_H57 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_Hf zenon_H21 zenon_H30 zenon_H35 zenon_H38 zenon_H67 zenon_H1a5 zenon_Hf2 zenon_H145 zenon_Hf1. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.02 apply (zenon_L253_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L255_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.02 apply (zenon_L162_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.02 apply (zenon_L180_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.02 apply (zenon_L259_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.02 apply (zenon_L12_); trivial. % 0.82/1.02 apply (zenon_L263_); trivial. % 0.82/1.02 apply (zenon_L138_); trivial. % 0.82/1.02 apply (zenon_L241_); trivial. % 0.82/1.02 apply (zenon_L254_); trivial. % 0.82/1.02 apply (zenon_L139_); trivial. % 0.82/1.02 (* end of lemma zenon_L264_ *) % 0.82/1.02 assert (zenon_L265_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hf2 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H1a2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_Hf zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H141 zenon_H4c. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.02 apply (zenon_L206_); trivial. % 0.82/1.02 apply (zenon_L208_); trivial. % 0.82/1.02 (* end of lemma zenon_L265_ *) % 0.82/1.02 assert (zenon_L266_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H14f zenon_H11c zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L57_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L209_); trivial. % 0.82/1.02 (* end of lemma zenon_L266_ *) % 0.82/1.02 assert (zenon_L267_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H100 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H14f zenon_H1d5. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.02 apply (zenon_L266_); trivial. % 0.82/1.02 apply (zenon_L145_); trivial. % 0.82/1.02 (* end of lemma zenon_L267_ *) % 0.82/1.02 assert (zenon_L268_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H86 zenon_H89 zenon_H8d zenon_H1a2 zenon_H1d5 zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H141 zenon_H4c zenon_H14f zenon_H103. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.02 apply (zenon_L148_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.02 apply (zenon_L265_); trivial. % 0.82/1.02 apply (zenon_L267_); trivial. % 0.82/1.02 (* end of lemma zenon_L268_ *) % 0.82/1.02 assert (zenon_L269_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1e7 zenon_Hf1 zenon_H18c zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H86 zenon_H89 zenon_H8d zenon_H1a2 zenon_H1d5 zenon_H35 zenon_H21 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H14f zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H178 zenon_H103. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.02 apply (zenon_L197_); trivial. % 0.82/1.02 apply (zenon_L268_); trivial. % 0.82/1.02 (* end of lemma zenon_L269_ *) % 0.82/1.02 assert (zenon_L270_ : ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (ndr1_0) -> (~(c2_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_H14f zenon_H11c zenon_H12 zenon_H1bd zenon_H12e zenon_H1be zenon_H1bf zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H14f); [ zenon_intro zenon_H147 | zenon_intro zenon_H11d ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L181_); trivial. % 0.82/1.02 apply (zenon_L105_); trivial. % 0.82/1.02 exact (zenon_H11c zenon_H11d). % 0.82/1.02 (* end of lemma zenon_L270_ *) % 0.82/1.02 assert (zenon_L271_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_H1d5 zenon_H25 zenon_H26 zenon_H24 zenon_H132 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H14f zenon_H11c zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.02 apply (zenon_L101_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L183_); trivial. % 0.82/1.02 apply (zenon_L209_); trivial. % 0.82/1.02 (* end of lemma zenon_L271_ *) % 0.82/1.02 assert (zenon_L272_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a907)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(c2_1 (a907))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (ndr1_0) -> (c0_1 (a916)) -> (c1_1 (a916)) -> (c3_1 (a916)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H16a zenon_H16d zenon_H5d zenon_H16c zenon_H10a zenon_H109 zenon_H108 zenon_H12 zenon_H133 zenon_H134 zenon_H135. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16a); [ zenon_intro zenon_H9e | zenon_intro zenon_H16b ]. % 0.82/1.02 apply (zenon_L151_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H107 | zenon_intro zenon_H132 ]. % 0.82/1.02 apply (zenon_L82_); trivial. % 0.82/1.02 apply (zenon_L97_); trivial. % 0.82/1.02 (* end of lemma zenon_L272_ *) % 0.82/1.02 assert (zenon_L273_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> (c0_1 (a916)) -> (c1_1 (a916)) -> (c3_1 (a916)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.82/1.02 do 0 intro. intros zenon_Ha8 zenon_H16c zenon_H16d zenon_H108 zenon_H109 zenon_H10a zenon_H133 zenon_H134 zenon_H135 zenon_H16a zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.02 apply (zenon_L181_); trivial. % 0.82/1.02 apply (zenon_L272_); trivial. % 0.82/1.02 (* end of lemma zenon_L273_ *) % 0.82/1.02 assert (zenon_L274_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H13c zenon_H13d zenon_H14 zenon_H15 zenon_H16 zenon_H1bd zenon_H1be zenon_H1bf zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8 zenon_H1d5 zenon_H25 zenon_H26 zenon_H24 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H5e zenon_H5f zenon_H60. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.02 apply (zenon_L44_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.02 apply (zenon_L273_); trivial. % 0.82/1.02 apply (zenon_L184_); trivial. % 0.82/1.02 (* end of lemma zenon_L274_ *) % 0.82/1.02 assert (zenon_L275_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> False). % 0.82/1.02 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hb3 zenon_H11a zenon_H1bc zenon_H1b7 zenon_H59 zenon_H181 zenon_H182 zenon_H183 zenon_H1ab zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H21 zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H14f zenon_Ha8 zenon_H16c zenon_H16d zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H141 zenon_H35 zenon_H38 zenon_H1da. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.02 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.02 apply (zenon_L180_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.02 apply (zenon_L259_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.02 apply (zenon_L12_); trivial. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.02 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.02 apply (zenon_L44_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.02 apply (zenon_L270_); trivial. % 0.82/1.02 apply (zenon_L271_); trivial. % 0.82/1.02 apply (zenon_L274_); trivial. % 0.82/1.02 apply (zenon_L86_); trivial. % 0.82/1.02 (* end of lemma zenon_L275_ *) % 0.82/1.02 assert (zenon_L276_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp23)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.82/1.02 do 0 intro. intros zenon_Hb3 zenon_H69 zenon_H17a zenon_H1e0 zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H12 zenon_H108 zenon_H10a zenon_H109. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.02 apply (zenon_L199_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.02 apply (zenon_L18_); trivial. % 0.82/1.02 apply (zenon_L239_); trivial. % 0.82/1.02 (* end of lemma zenon_L276_ *) % 0.82/1.02 assert (zenon_L277_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp12)) -> (~(hskp11)) -> (ndr1_0) -> (c1_1 (a954)) -> (c3_1 (a954)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp25)) -> (~(hskp21)) -> False). % 0.82/1.02 do 0 intro. intros zenon_H15b zenon_H9 zenon_H2d zenon_H12 zenon_H7e zenon_H7f zenon_H30 zenon_H159 zenon_Hd. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H5d | zenon_intro zenon_H15c ]. % 0.82/1.02 apply (zenon_L215_); trivial. % 0.82/1.02 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15a | zenon_intro zenon_He ]. % 0.82/1.02 exact (zenon_H159 zenon_H15a). % 0.82/1.02 exact (zenon_Hd zenon_He). % 0.82/1.02 (* end of lemma zenon_L277_ *) % 0.82/1.02 assert (zenon_L278_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H88 zenon_H169 zenon_H141 zenon_H17c zenon_H17a zenon_H14f zenon_H30 zenon_H9 zenon_H2d zenon_Hd zenon_H15b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.03 apply (zenon_L277_); trivial. % 0.82/1.03 apply (zenon_L155_); trivial. % 0.82/1.03 (* end of lemma zenon_L278_ *) % 0.82/1.03 assert (zenon_L279_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H8d zenon_H169 zenon_H141 zenon_H17c zenon_H14f zenon_H30 zenon_H9 zenon_H2d zenon_Hd zenon_H15b zenon_H1e0 zenon_H17a zenon_H191 zenon_H190 zenon_H18f zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.03 apply (zenon_L276_); trivial. % 0.82/1.03 apply (zenon_L278_); trivial. % 0.82/1.03 (* end of lemma zenon_L279_ *) % 0.82/1.03 assert (zenon_L280_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H49 zenon_H1a2 zenon_H38 zenon_H89 zenon_H86 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H17a zenon_H1e0 zenon_H15b zenon_H2d zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.03 apply (zenon_L162_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.03 apply (zenon_L279_); trivial. % 0.82/1.03 apply (zenon_L226_); trivial. % 0.82/1.03 (* end of lemma zenon_L280_ *) % 0.82/1.03 assert (zenon_L281_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H13c zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H16a zenon_H16d zenon_H16c zenon_H10a zenon_H109 zenon_H108. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L57_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L272_); trivial. % 0.82/1.03 (* end of lemma zenon_L281_ *) % 0.82/1.03 assert (zenon_L282_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H100 zenon_H141 zenon_H16c zenon_H16d zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H14f zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L266_); trivial. % 0.82/1.03 apply (zenon_L281_); trivial. % 0.82/1.03 (* end of lemma zenon_L282_ *) % 0.82/1.03 assert (zenon_L283_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H100 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_H178 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.03 apply (zenon_L156_); trivial. % 0.82/1.03 apply (zenon_L170_); trivial. % 0.82/1.03 (* end of lemma zenon_L283_ *) % 0.82/1.03 assert (zenon_L284_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_H178 zenon_H4c zenon_H1a2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H17a zenon_H1e0 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H18c zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38 zenon_H16d zenon_H16c zenon_Ha8 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.03 apply (zenon_L193_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.03 apply (zenon_L162_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.03 apply (zenon_L279_); trivial. % 0.82/1.03 apply (zenon_L170_); trivial. % 0.82/1.03 apply (zenon_L221_); trivial. % 0.82/1.03 apply (zenon_L283_); trivial. % 0.82/1.03 (* end of lemma zenon_L284_ *) % 0.82/1.03 assert (zenon_L285_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> (c0_1 (a916)) -> (c1_1 (a916)) -> (c3_1 (a916)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> False). % 0.82/1.03 do 0 intro. intros zenon_Ha8 zenon_H16c zenon_H16d zenon_H108 zenon_H109 zenon_H10a zenon_H133 zenon_H134 zenon_H135 zenon_H16a zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H6e zenon_H12. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L60_); trivial. % 0.82/1.03 apply (zenon_L272_); trivial. % 0.82/1.03 (* end of lemma zenon_L285_ *) % 0.82/1.03 assert (zenon_L286_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H13c zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H16a zenon_H16d zenon_H16c zenon_H10a zenon_H109 zenon_H108. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L285_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L272_); trivial. % 0.82/1.03 (* end of lemma zenon_L286_ *) % 0.82/1.03 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H100 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L210_); trivial. % 0.82/1.03 apply (zenon_L286_); trivial. % 0.82/1.03 (* end of lemma zenon_L287_ *) % 0.82/1.03 assert (zenon_L288_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1dd zenon_H103 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H14f zenon_H8d zenon_H30 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_Hf2. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L234_); trivial. % 0.82/1.03 apply (zenon_L287_); trivial. % 0.82/1.03 (* end of lemma zenon_L288_ *) % 0.82/1.03 assert (zenon_L289_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hfc zenon_H1e7 zenon_H16a zenon_H1d5 zenon_H1e8 zenon_Hf2 zenon_Ha8 zenon_H16c zenon_H16d zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H18c zenon_H8d zenon_H169 zenon_H141 zenon_H17c zenon_H14f zenon_H30 zenon_H15b zenon_H1e0 zenon_H17a zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_H4c zenon_H178 zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.03 apply (zenon_L284_); trivial. % 0.82/1.03 apply (zenon_L288_); trivial. % 0.82/1.03 (* end of lemma zenon_L289_ *) % 0.82/1.03 assert (zenon_L290_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H1f zenon_H67 zenon_H11e zenon_H4c. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.03 apply (zenon_L193_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.03 apply (zenon_L99_); trivial. % 0.82/1.03 apply (zenon_L170_); trivial. % 0.82/1.03 apply (zenon_L171_); trivial. % 0.82/1.03 (* end of lemma zenon_L290_ *) % 0.82/1.03 assert (zenon_L291_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hf1 zenon_Hc0 zenon_H5b zenon_H57 zenon_H59 zenon_H145 zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L290_); trivial. % 0.82/1.03 apply (zenon_L139_); trivial. % 0.82/1.03 (* end of lemma zenon_L291_ *) % 0.82/1.03 assert (zenon_L292_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Heb zenon_H38 zenon_H35 zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H120 zenon_H122 zenon_H129 zenon_H86 zenon_H89 zenon_H21 zenon_H1f zenon_H67. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.03 apply (zenon_L29_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.03 apply (zenon_L12_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.03 apply (zenon_L124_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.03 apply (zenon_L96_); trivial. % 0.82/1.03 apply (zenon_L184_); trivial. % 0.82/1.03 (* end of lemma zenon_L292_ *) % 0.82/1.03 assert (zenon_L293_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H34 zenon_H35 zenon_H141 zenon_H89 zenon_H86 zenon_H129 zenon_H122 zenon_H120 zenon_H1d5 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H14f zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H1f zenon_H21. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.03 apply (zenon_L12_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.03 apply (zenon_L124_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.03 apply (zenon_L96_); trivial. % 0.82/1.03 apply (zenon_L271_); trivial. % 0.82/1.03 apply (zenon_L133_); trivial. % 0.82/1.03 (* end of lemma zenon_L293_ *) % 0.82/1.03 assert (zenon_L294_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_H15b zenon_H14f zenon_H169 zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H89 zenon_H86 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_L100_); trivial. % 0.82/1.03 apply (zenon_L292_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.03 apply (zenon_L132_); trivial. % 0.82/1.03 apply (zenon_L293_); trivial. % 0.82/1.03 (* end of lemma zenon_L294_ *) % 0.82/1.03 assert (zenon_L295_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_Hc0 zenon_H5b zenon_H57 zenon_H59 zenon_H145 zenon_Hf2 zenon_H1d5 zenon_H86 zenon_H89 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H169 zenon_H14f zenon_H15b zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L294_); trivial. % 0.82/1.03 apply (zenon_L139_); trivial. % 0.82/1.03 (* end of lemma zenon_L295_ *) % 0.82/1.03 assert (zenon_L296_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H59 zenon_Hb9 zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_L100_); trivial. % 0.82/1.03 apply (zenon_L233_); trivial. % 0.82/1.03 apply (zenon_L78_); trivial. % 0.82/1.03 (* end of lemma zenon_L296_ *) % 0.82/1.03 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> (~(hskp5)) -> (~(hskp7)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_Hc0 zenon_H5b zenon_H57 zenon_H145 zenon_Hf2 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_Hb9 zenon_H59 zenon_Hcb zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L296_); trivial. % 0.82/1.03 apply (zenon_L139_); trivial. % 0.82/1.03 (* end of lemma zenon_L297_ *) % 0.82/1.03 assert (zenon_L298_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp5)) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hfc zenon_H1e7 zenon_H1d5 zenon_Ha8 zenon_H35 zenon_H30 zenon_H21 zenon_Hb9 zenon_Hcb zenon_H103 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H145 zenon_H59 zenon_H57 zenon_H5b zenon_Hc0 zenon_Hf1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.03 apply (zenon_L291_); trivial. % 0.82/1.03 apply (zenon_L297_); trivial. % 0.82/1.03 (* end of lemma zenon_L298_ *) % 0.82/1.03 assert (zenon_L299_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H14f zenon_H4c zenon_H141 zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L195_); trivial. % 0.82/1.03 apply (zenon_L110_); trivial. % 0.82/1.03 (* end of lemma zenon_L299_ *) % 0.82/1.03 assert (zenon_L300_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (ndr1_0) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H12 zenon_H122 zenon_Ha4 zenon_H120 zenon_H129. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L57_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L94_); trivial. % 0.82/1.03 (* end of lemma zenon_L300_ *) % 0.82/1.03 assert (zenon_L301_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H13c zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H129 zenon_H122 zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.03 apply (zenon_L300_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.03 apply (zenon_L96_); trivial. % 0.82/1.03 apply (zenon_L97_); trivial. % 0.82/1.03 (* end of lemma zenon_L301_ *) % 0.82/1.03 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H100 zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H14f zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L266_); trivial. % 0.82/1.03 apply (zenon_L301_); trivial. % 0.82/1.03 (* end of lemma zenon_L302_ *) % 0.82/1.03 assert (zenon_L303_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (ndr1_0) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H12 zenon_H122 zenon_Ha4 zenon_H120 zenon_H129. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L141_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L94_); trivial. % 0.82/1.03 (* end of lemma zenon_L303_ *) % 0.82/1.03 assert (zenon_L304_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H13c zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H129 zenon_H122 zenon_H120. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.03 apply (zenon_L303_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.03 apply (zenon_L96_); trivial. % 0.82/1.03 apply (zenon_L97_); trivial. % 0.82/1.03 (* end of lemma zenon_L304_ *) % 0.82/1.03 assert (zenon_L305_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H100 zenon_H141 zenon_H13d zenon_H129 zenon_H120 zenon_H122 zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L210_); trivial. % 0.82/1.03 apply (zenon_L304_); trivial. % 0.82/1.03 (* end of lemma zenon_L305_ *) % 0.82/1.03 assert (zenon_L306_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L104_); trivial. % 0.82/1.03 apply (zenon_L305_); trivial. % 0.82/1.03 (* end of lemma zenon_L306_ *) % 0.82/1.03 assert (zenon_L307_ : (~(hskp16)) -> (hskp16) -> False). % 0.82/1.03 do 0 intro. intros zenon_H205 zenon_H206. % 0.82/1.03 exact (zenon_H205 zenon_H206). % 0.82/1.03 (* end of lemma zenon_L307_ *) % 0.82/1.03 assert (zenon_L308_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> (c3_1 (a938)) -> (c2_1 (a938)) -> (~(c0_1 (a938))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp16)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H207 zenon_H1b0 zenon_H1af zenon_H1ae zenon_H12 zenon_H11c zenon_H205. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H1ad | zenon_intro zenon_H208 ]. % 0.82/1.03 apply (zenon_L177_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H11d | zenon_intro zenon_H206 ]. % 0.82/1.03 exact (zenon_H11c zenon_H11d). % 0.82/1.03 exact (zenon_H205 zenon_H206). % 0.82/1.03 (* end of lemma zenon_L308_ *) % 0.82/1.03 assert (zenon_L309_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (c3_1 (a916)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a916)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H135 zenon_H5d zenon_H134 zenon_H12 zenon_H205. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H9e | zenon_intro zenon_H20a ]. % 0.82/1.03 apply (zenon_L73_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H23 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_L112_); trivial. % 0.82/1.03 exact (zenon_H205 zenon_H206). % 0.82/1.03 (* end of lemma zenon_L309_ *) % 0.82/1.03 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(hskp16)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H13c zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H205. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L60_); trivial. % 0.82/1.03 apply (zenon_L309_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L309_); trivial. % 0.82/1.03 (* end of lemma zenon_L310_ *) % 0.82/1.03 assert (zenon_L311_ : ((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1b9 zenon_H141 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha8 zenon_H205 zenon_H207. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1af. zenon_intro zenon_H1bb. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L308_); trivial. % 0.82/1.03 apply (zenon_L310_); trivial. % 0.82/1.03 (* end of lemma zenon_L311_ *) % 0.82/1.03 assert (zenon_L312_ : ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp16)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp18)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1bc zenon_H141 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha8 zenon_H205 zenon_H207 zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H1a7 zenon_H1ab. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1b9 ]. % 0.82/1.03 apply (zenon_L176_); trivial. % 0.82/1.03 apply (zenon_L311_); trivial. % 0.82/1.03 (* end of lemma zenon_L312_ *) % 0.82/1.03 assert (zenon_L313_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> (c3_1 (a954)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a954)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H209 zenon_H1bf zenon_H1bd zenon_H7f zenon_H5d zenon_H7e zenon_H12 zenon_H205. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H9e | zenon_intro zenon_H20a ]. % 0.82/1.03 apply (zenon_L256_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H23 | zenon_intro zenon_H206 ]. % 0.82/1.03 apply (zenon_L214_); trivial. % 0.82/1.03 exact (zenon_H205 zenon_H206). % 0.82/1.03 (* end of lemma zenon_L313_ *) % 0.82/1.03 assert (zenon_L314_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> (~(hskp16)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H88 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H209 zenon_H1bf zenon_H1bd zenon_H205. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L62_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L313_); trivial. % 0.82/1.03 (* end of lemma zenon_L314_ *) % 0.82/1.03 assert (zenon_L315_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1a2 zenon_H1da zenon_H8d zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H1ab zenon_H207 zenon_H205 zenon_Ha8 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H209 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H141 zenon_H1bc zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.03 apply (zenon_L162_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.03 apply (zenon_L312_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.03 apply (zenon_L200_); trivial. % 0.82/1.03 apply (zenon_L314_); trivial. % 0.82/1.03 (* end of lemma zenon_L315_ *) % 0.82/1.03 assert (zenon_L316_ : (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (~(c3_1 (a926))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H6e zenon_H12 zenon_H107 zenon_H20b zenon_H20c zenon_H20d. % 0.82/1.03 generalize (zenon_H6e (a926)). zenon_intro zenon_H20e. % 0.82/1.03 apply (zenon_imply_s _ _ zenon_H20e); [ zenon_intro zenon_H11 | zenon_intro zenon_H20f ]. % 0.82/1.03 exact (zenon_H11 zenon_H12). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H211 | zenon_intro zenon_H210 ]. % 0.82/1.03 generalize (zenon_H107 (a926)). zenon_intro zenon_H212. % 0.82/1.03 apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_H11 | zenon_intro zenon_H213 ]. % 0.82/1.03 exact (zenon_H11 zenon_H12). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H215 | zenon_intro zenon_H214 ]. % 0.82/1.03 exact (zenon_H20b zenon_H215). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.82/1.03 exact (zenon_H217 zenon_H211). % 0.82/1.03 exact (zenon_H216 zenon_H20c). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H218 | zenon_intro zenon_H216 ]. % 0.82/1.03 exact (zenon_H218 zenon_H20d). % 0.82/1.03 exact (zenon_H216 zenon_H20c). % 0.82/1.03 (* end of lemma zenon_L316_ *) % 0.82/1.03 assert (zenon_L317_ : (forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))) -> (ndr1_0) -> (~(c3_1 (a926))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H111 zenon_H12 zenon_H20b zenon_H20d zenon_H20c. % 0.82/1.03 generalize (zenon_H111 (a926)). zenon_intro zenon_H219. % 0.82/1.03 apply (zenon_imply_s _ _ zenon_H219); [ zenon_intro zenon_H11 | zenon_intro zenon_H21a ]. % 0.82/1.03 exact (zenon_H11 zenon_H12). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H21a); [ zenon_intro zenon_H215 | zenon_intro zenon_H210 ]. % 0.82/1.03 exact (zenon_H20b zenon_H215). % 0.82/1.03 apply (zenon_or_s _ _ zenon_H210); [ zenon_intro zenon_H218 | zenon_intro zenon_H216 ]. % 0.82/1.03 exact (zenon_H218 zenon_H20d). % 0.82/1.03 exact (zenon_H216 zenon_H20c). % 0.82/1.03 (* end of lemma zenon_L317_ *) % 0.82/1.03 assert (zenon_L318_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a926))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H88 zenon_H11a zenon_H129 zenon_H120 zenon_H122 zenon_Hcd zenon_Hce zenon_Hcf zenon_H9 zenon_H2d zenon_H30 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H20b zenon_H20d zenon_H20c. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.82/1.03 apply (zenon_L300_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.03 apply (zenon_L316_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.03 apply (zenon_L183_); trivial. % 0.82/1.03 apply (zenon_L215_); trivial. % 0.82/1.03 apply (zenon_L317_); trivial. % 0.82/1.03 (* end of lemma zenon_L318_ *) % 0.82/1.03 assert (zenon_L319_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H21b zenon_H11a zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H1bc zenon_H209 zenon_H207 zenon_H1ab zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H8d zenon_H1da zenon_H1a2 zenon_Hf2 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H1d5 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H14f zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L306_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.82/1.03 apply (zenon_L315_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.03 apply (zenon_L162_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.03 apply (zenon_L200_); trivial. % 0.82/1.03 apply (zenon_L318_); trivial. % 0.82/1.03 apply (zenon_L208_); trivial. % 0.82/1.03 apply (zenon_L302_); trivial. % 0.82/1.03 (* end of lemma zenon_L319_ *) % 0.82/1.03 assert (zenon_L320_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H49 zenon_H141 zenon_H13d zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H122 zenon_H120 zenon_H129 zenon_H1d5 zenon_H9 zenon_H11e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L92_); trivial. % 0.82/1.03 apply (zenon_L301_); trivial. % 0.82/1.03 (* end of lemma zenon_L320_ *) % 0.82/1.03 assert (zenon_L321_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H8d zenon_H1e8 zenon_H16d zenon_H16c zenon_H17a zenon_H1e0 zenon_Hf2 zenon_H1d5 zenon_H86 zenon_H89 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H169 zenon_H14f zenon_H15b zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L294_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.03 apply (zenon_L227_); trivial. % 0.82/1.03 apply (zenon_L320_); trivial. % 0.82/1.03 apply (zenon_L208_); trivial. % 0.82/1.03 (* end of lemma zenon_L321_ *) % 0.82/1.03 assert (zenon_L322_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hf2 zenon_Hb9 zenon_H1db zenon_H1bc zenon_H1b7 zenon_H59 zenon_H181 zenon_H182 zenon_H183 zenon_H1ab zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H1da zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_L100_); trivial. % 0.82/1.03 apply (zenon_L190_); trivial. % 0.82/1.03 (* end of lemma zenon_L322_ *) % 0.82/1.03 assert (zenon_L323_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H1da zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_Ha8 zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_H59 zenon_H1b7 zenon_H1bc zenon_H1db zenon_Hb9 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L322_); trivial. % 0.82/1.03 apply (zenon_L305_); trivial. % 0.82/1.03 (* end of lemma zenon_L323_ *) % 0.82/1.03 assert (zenon_L324_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1d7 zenon_H8d zenon_H205 zenon_H209 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H17a zenon_H1e0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.03 apply (zenon_L231_); trivial. % 0.82/1.03 apply (zenon_L314_); trivial. % 0.82/1.03 (* end of lemma zenon_L324_ *) % 0.82/1.03 assert (zenon_L325_ : ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp13)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1da zenon_H8d zenon_H205 zenon_H209 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H59 zenon_Hb zenon_H1b7 zenon_H1bc. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.03 apply (zenon_L180_); trivial. % 0.82/1.03 apply (zenon_L324_); trivial. % 0.82/1.03 (* end of lemma zenon_L325_ *) % 0.82/1.03 assert (zenon_L326_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H49 zenon_H141 zenon_H13d zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H9 zenon_H11e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L92_); trivial. % 0.82/1.03 apply (zenon_L304_); trivial. % 0.82/1.03 (* end of lemma zenon_L326_ *) % 0.82/1.03 assert (zenon_L327_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H8d zenon_H209 zenon_H16c zenon_H16d zenon_H1e8 zenon_H17a zenon_H1e0 zenon_H11a zenon_H21b zenon_Hf2 zenon_Hb9 zenon_H1db zenon_H1bc zenon_H1b7 zenon_H59 zenon_H181 zenon_H182 zenon_H183 zenon_H1ab zenon_Ha8 zenon_H1d5 zenon_H1da zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H14f zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L323_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.82/1.03 apply (zenon_L325_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.03 apply (zenon_L231_); trivial. % 0.82/1.03 apply (zenon_L318_); trivial. % 0.82/1.03 apply (zenon_L326_); trivial. % 0.82/1.03 apply (zenon_L233_); trivial. % 0.82/1.03 apply (zenon_L302_); trivial. % 0.82/1.03 (* end of lemma zenon_L327_ *) % 0.82/1.03 assert (zenon_L328_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hf2 zenon_H1e0 zenon_H17a zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H8d. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.03 apply (zenon_L225_); trivial. % 0.82/1.03 apply (zenon_L216_); trivial. % 0.82/1.03 apply (zenon_L208_); trivial. % 0.82/1.03 (* end of lemma zenon_L328_ *) % 0.82/1.03 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hfc zenon_H1e7 zenon_Hf1 zenon_H8d zenon_H1e8 zenon_H16d zenon_H16c zenon_H17a zenon_H1e0 zenon_H35 zenon_H21 zenon_H67 zenon_H1d5 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H14f zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H103. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.03 apply (zenon_L299_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L306_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L328_); trivial. % 0.82/1.03 apply (zenon_L305_); trivial. % 0.82/1.03 (* end of lemma zenon_L329_ *) % 0.82/1.03 assert (zenon_L330_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H103 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H14f zenon_H4c zenon_H141 zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38 zenon_Hf2. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L195_); trivial. % 0.82/1.03 apply (zenon_L147_); trivial. % 0.82/1.03 (* end of lemma zenon_L330_ *) % 0.82/1.03 assert (zenon_L331_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2)))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (ndr1_0) -> (~(c3_1 (a926))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> False). % 0.82/1.03 do 0 intro. intros zenon_H11a zenon_H129 zenon_H122 zenon_H120 zenon_H7c zenon_H10a zenon_H109 zenon_H108 zenon_H12 zenon_H20b zenon_H20d zenon_H20c. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.82/1.03 apply (zenon_L123_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.82/1.03 apply (zenon_L82_); trivial. % 0.82/1.03 apply (zenon_L317_); trivial. % 0.82/1.03 (* end of lemma zenon_L331_ *) % 0.82/1.03 assert (zenon_L332_ : ((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H21c zenon_H35 zenon_H30 zenon_H9 zenon_H2d zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H122 zenon_H120 zenon_H129 zenon_Ha8 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_H21f. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.82/1.03 apply (zenon_L303_); trivial. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.82/1.03 apply (zenon_L331_); trivial. % 0.82/1.03 exact (zenon_H1d zenon_H1e). % 0.82/1.03 apply (zenon_L15_); trivial. % 0.82/1.03 (* end of lemma zenon_L332_ *) % 0.82/1.03 assert (zenon_L333_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H49 zenon_H141 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8 zenon_H9 zenon_H11e. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.03 apply (zenon_L92_); trivial. % 0.82/1.03 apply (zenon_L286_); trivial. % 0.82/1.03 (* end of lemma zenon_L333_ *) % 0.82/1.03 assert (zenon_L334_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_Hee zenon_H103 zenon_H141 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H14f zenon_H8d zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_H17a zenon_H1e0 zenon_Hf2. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_L328_); trivial. % 0.82/1.03 apply (zenon_L282_); trivial. % 0.82/1.03 (* end of lemma zenon_L334_ *) % 0.82/1.03 assert (zenon_L335_ : ((ndr1_0)/\((c0_1 (a907))/\((c1_1 (a907))/\(~(c2_1 (a907)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909))))))) -> False). % 0.82/1.03 do 0 intro. intros zenon_H221 zenon_H222 zenon_H207 zenon_H1e7 zenon_Hf1 zenon_H1d5 zenon_H89 zenon_H35 zenon_H21 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H18c zenon_H8d zenon_H169 zenon_H141 zenon_H17c zenon_H14f zenon_H30 zenon_H15b zenon_H1e0 zenon_H17a zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_H4c zenon_H178 zenon_H103 zenon_H21b zenon_H21f zenon_H1bc zenon_H1b7 zenon_H1ab zenon_H209 zenon_H1da zenon_H16a zenon_Hff. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.03 apply (zenon_L284_); trivial. % 0.82/1.03 apply (zenon_L321_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.03 apply (zenon_L284_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.82/1.03 apply (zenon_L325_); trivial. % 0.82/1.03 apply (zenon_L332_); trivial. % 0.82/1.03 apply (zenon_L333_); trivial. % 0.82/1.03 apply (zenon_L233_); trivial. % 0.82/1.03 apply (zenon_L287_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.82/1.03 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.03 apply (zenon_L299_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.03 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.03 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.03 apply (zenon_L294_); trivial. % 0.82/1.03 apply (zenon_L334_); trivial. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.03 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.82/1.04 apply (zenon_L299_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.04 apply (zenon_L148_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.04 apply (zenon_L312_); trivial. % 0.82/1.04 apply (zenon_L324_); trivial. % 0.82/1.04 apply (zenon_L332_); trivial. % 0.82/1.04 apply (zenon_L208_); trivial. % 0.82/1.04 apply (zenon_L282_); trivial. % 0.82/1.04 (* end of lemma zenon_L335_ *) % 0.82/1.04 assert (zenon_L336_ : (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H18e zenon_H12 zenon_H225 zenon_H226 zenon_H227. % 0.82/1.04 generalize (zenon_H18e (a903)). zenon_intro zenon_H228. % 0.82/1.04 apply (zenon_imply_s _ _ zenon_H228); [ zenon_intro zenon_H11 | zenon_intro zenon_H229 ]. % 0.82/1.04 exact (zenon_H11 zenon_H12). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22b | zenon_intro zenon_H22a ]. % 0.82/1.04 exact (zenon_H225 zenon_H22b). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H22a); [ zenon_intro zenon_H22d | zenon_intro zenon_H22c ]. % 0.82/1.04 exact (zenon_H226 zenon_H22d). % 0.82/1.04 exact (zenon_H22c zenon_H227). % 0.82/1.04 (* end of lemma zenon_L336_ *) % 0.82/1.04 assert (zenon_L337_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> (~(hskp6)) -> (~(hskp14)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H19d zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H57 zenon_H1. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H19d); [ zenon_intro zenon_H18e | zenon_intro zenon_H19e ]. % 0.82/1.04 apply (zenon_L336_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H58 | zenon_intro zenon_H2 ]. % 0.82/1.04 exact (zenon_H57 zenon_H58). % 0.82/1.04 exact (zenon_H1 zenon_H2). % 0.82/1.04 (* end of lemma zenon_L337_ *) % 0.82/1.04 assert (zenon_L338_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (ndr1_0) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hc0 zenon_H5b zenon_H59 zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_H57 zenon_H19d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.04 apply (zenon_L337_); trivial. % 0.82/1.04 apply (zenon_L138_); trivial. % 0.82/1.04 (* end of lemma zenon_L338_ *) % 0.82/1.04 assert (zenon_L339_ : ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp23)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H1e0 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H17a zenon_H69. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H18e | zenon_intro zenon_H1e1 ]. % 0.82/1.04 apply (zenon_L336_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H17b | zenon_intro zenon_H6a ]. % 0.82/1.04 exact (zenon_H17a zenon_H17b). % 0.82/1.04 exact (zenon_H69 zenon_H6a). % 0.82/1.04 (* end of lemma zenon_L339_ *) % 0.82/1.04 assert (zenon_L340_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.04 apply (zenon_L339_); trivial. % 0.82/1.04 apply (zenon_L37_); trivial. % 0.82/1.04 (* end of lemma zenon_L340_ *) % 0.82/1.04 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H100 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L196_); trivial. % 0.82/1.04 apply (zenon_L340_); trivial. % 0.82/1.04 (* end of lemma zenon_L341_ *) % 0.82/1.04 assert (zenon_L342_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H103 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0 zenon_H178 zenon_H4c zenon_H141 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L198_); trivial. % 0.82/1.04 apply (zenon_L341_); trivial. % 0.82/1.04 (* end of lemma zenon_L342_ *) % 0.82/1.04 assert (zenon_L343_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_H178 zenon_H17c zenon_H17a zenon_H45 zenon_H17e zenon_H38 zenon_H4c zenon_H141 zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_H78 zenon_H7a zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L117_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L58_); trivial. % 0.82/1.04 apply (zenon_L204_); trivial. % 0.82/1.04 apply (zenon_L74_); trivial. % 0.82/1.04 (* end of lemma zenon_L343_ *) % 0.82/1.04 assert (zenon_L344_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (ndr1_0) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H8d zenon_H169 zenon_H141 zenon_H17c zenon_H14f zenon_H30 zenon_H9 zenon_H2d zenon_Hd zenon_H15b zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.04 apply (zenon_L339_); trivial. % 0.82/1.04 apply (zenon_L278_); trivial. % 0.82/1.04 (* end of lemma zenon_L344_ *) % 0.82/1.04 assert (zenon_L345_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a954)) -> (c3_1 (a954)) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Ha8 zenon_H7e zenon_H7f zenon_H2d zenon_H9 zenon_H30 zenon_H16 zenon_H15 zenon_H14 zenon_H12 zenon_Ha4. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.04 apply (zenon_L43_); trivial. % 0.82/1.04 apply (zenon_L215_); trivial. % 0.82/1.04 (* end of lemma zenon_L345_ *) % 0.82/1.04 assert (zenon_L346_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H38 zenon_H35 zenon_Ha8 zenon_H21f zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15b zenon_H2d zenon_H9 zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L344_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.04 apply (zenon_L339_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.82/1.04 apply (zenon_L345_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.82/1.04 apply (zenon_L35_); trivial. % 0.82/1.04 exact (zenon_H1d zenon_H1e). % 0.82/1.04 apply (zenon_L15_); trivial. % 0.82/1.04 (* end of lemma zenon_L346_ *) % 0.82/1.04 assert (zenon_L347_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H100 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H1e0 zenon_H178 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L156_); trivial. % 0.82/1.04 apply (zenon_L340_); trivial. % 0.82/1.04 (* end of lemma zenon_L347_ *) % 0.82/1.04 assert (zenon_L348_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H103 zenon_H178 zenon_H16c zenon_H16d zenon_H38 zenon_H35 zenon_Ha8 zenon_H21f zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H9d zenon_H8e zenon_H3 zenon_H67 zenon_H1f zenon_H7a zenon_H78 zenon_H6d zenon_H21 zenon_H86 zenon_H89 zenon_Hb8 zenon_Hb3 zenon_H5 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_H4c zenon_Hf2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L346_); trivial. % 0.82/1.04 apply (zenon_L77_); trivial. % 0.82/1.04 apply (zenon_L347_); trivial. % 0.82/1.04 (* end of lemma zenon_L348_ *) % 0.82/1.04 assert (zenon_L349_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Heb zenon_Hc0 zenon_H38 zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H21f zenon_H225 zenon_H226 zenon_H227 zenon_H1e0 zenon_Ha8 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169 zenon_Hcd zenon_Hce zenon_Hcf zenon_H59 zenon_H145. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.04 apply (zenon_L137_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L220_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.04 apply (zenon_L339_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.82/1.04 apply (zenon_L44_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.82/1.04 apply (zenon_L35_); trivial. % 0.82/1.04 exact (zenon_H1d zenon_H1e). % 0.82/1.04 apply (zenon_L50_); trivial. % 0.82/1.04 (* end of lemma zenon_L349_ *) % 0.82/1.04 assert (zenon_L350_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_Hcb zenon_H38 zenon_H35 zenon_Ha8 zenon_H21f zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H145 zenon_H59 zenon_H16d zenon_H16c zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L346_); trivial. % 0.82/1.04 apply (zenon_L349_); trivial. % 0.82/1.04 apply (zenon_L78_); trivial. % 0.82/1.04 (* end of lemma zenon_L350_ *) % 0.82/1.04 assert (zenon_L351_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H4c zenon_H17e zenon_H45 zenon_H11e zenon_H178 zenon_H16c zenon_H16d zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169 zenon_H38 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H1f zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H9 zenon_Hf zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L65_); trivial. % 0.82/1.04 apply (zenon_L159_); trivial. % 0.82/1.04 (* end of lemma zenon_L351_ *) % 0.82/1.04 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H5 zenon_Hb3 zenon_Hb8 zenon_H67 zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H1f zenon_H21 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H8d zenon_H38 zenon_H169 zenon_H141 zenon_H17c zenon_H17a zenon_H14f zenon_H15b zenon_H16d zenon_H16c zenon_H178 zenon_H11e zenon_H45 zenon_H17e zenon_H4c. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L351_); trivial. % 0.82/1.04 apply (zenon_L68_); trivial. % 0.82/1.04 (* end of lemma zenon_L352_ *) % 0.82/1.04 assert (zenon_L353_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H103 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H1e0 zenon_H178 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H169 zenon_H4c zenon_H141 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L198_); trivial. % 0.82/1.04 apply (zenon_L347_); trivial. % 0.82/1.04 (* end of lemma zenon_L353_ *) % 0.82/1.04 assert (zenon_L354_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H4c zenon_H38 zenon_H17e zenon_H45 zenon_Ha8 zenon_H9 zenon_H11e zenon_H178 zenon_H16c zenon_H16d zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169 zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L58_); trivial. % 0.82/1.04 apply (zenon_L159_); trivial. % 0.82/1.04 (* end of lemma zenon_L354_ *) % 0.82/1.04 assert (zenon_L355_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_H169 zenon_H17c zenon_H17a zenon_H14f zenon_H15b zenon_H16d zenon_H16c zenon_H178 zenon_H45 zenon_H17e zenon_H38 zenon_H4c zenon_H141 zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_H78 zenon_H7a zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L117_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L354_); trivial. % 0.82/1.04 apply (zenon_L74_); trivial. % 0.82/1.04 (* end of lemma zenon_L355_ *) % 0.82/1.04 assert (zenon_L356_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H222 zenon_Hf1 zenon_H78 zenon_H7a zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H141 zenon_H4c zenon_H14f zenon_H103 zenon_H19d zenon_H57 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H5b zenon_Hc0. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.82/1.04 apply (zenon_L338_); trivial. % 0.82/1.04 apply (zenon_L149_); trivial. % 0.82/1.04 (* end of lemma zenon_L356_ *) % 0.82/1.04 assert (zenon_L357_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (ndr1_0) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hf2 zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H89 zenon_H86 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d zenon_H8d zenon_H169 zenon_H141 zenon_H17c zenon_H14f zenon_H30 zenon_H2d zenon_H15b zenon_H12 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0 zenon_H21f zenon_Ha8 zenon_H35 zenon_H38. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L346_); trivial. % 0.82/1.04 apply (zenon_L87_); trivial. % 0.82/1.04 (* end of lemma zenon_L357_ *) % 0.82/1.04 assert (zenon_L358_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (ndr1_0) -> (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (~(hskp10)) -> (~(hskp21)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H67 zenon_H16d zenon_H16c zenon_H12 zenon_H9e zenon_H1f zenon_Hd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H5d | zenon_intro zenon_H68 ]. % 0.82/1.04 apply (zenon_L151_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H20 | zenon_intro zenon_He ]. % 0.82/1.04 exact (zenon_H1f zenon_H20). % 0.82/1.04 exact (zenon_Hd zenon_He). % 0.82/1.04 (* end of lemma zenon_L358_ *) % 0.82/1.04 assert (zenon_L359_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp21)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H166 zenon_H178 zenon_H1f zenon_H16c zenon_H16d zenon_H67 zenon_Hd. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H147 | zenon_intro zenon_H179 ]. % 0.82/1.04 apply (zenon_L129_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H9e | zenon_intro zenon_He ]. % 0.82/1.04 apply (zenon_L358_); trivial. % 0.82/1.04 exact (zenon_Hd zenon_He). % 0.82/1.04 (* end of lemma zenon_L359_ *) % 0.82/1.04 assert (zenon_L360_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H169 zenon_H15b zenon_Hd zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12 zenon_H67 zenon_H1f zenon_H16d zenon_H16c zenon_H178. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H178); [ zenon_intro zenon_H147 | zenon_intro zenon_H179 ]. % 0.82/1.04 apply (zenon_L127_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H179); [ zenon_intro zenon_H9e | zenon_intro zenon_He ]. % 0.82/1.04 apply (zenon_L358_); trivial. % 0.82/1.04 exact (zenon_Hd zenon_He). % 0.82/1.04 apply (zenon_L359_); trivial. % 0.82/1.04 (* end of lemma zenon_L360_ *) % 0.82/1.04 assert (zenon_L361_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H100 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0 zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H15b zenon_H169. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L360_); trivial. % 0.82/1.04 apply (zenon_L340_); trivial. % 0.82/1.04 (* end of lemma zenon_L361_ *) % 0.82/1.04 assert (zenon_L362_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Heb zenon_H4c zenon_H38 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L58_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L220_); trivial. % 0.82/1.04 apply (zenon_L85_); trivial. % 0.82/1.04 (* end of lemma zenon_L362_ *) % 0.82/1.04 assert (zenon_L363_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Heb zenon_H4c zenon_H38 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H178 zenon_H16c zenon_H16d zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L58_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L156_); trivial. % 0.82/1.04 apply (zenon_L85_); trivial. % 0.82/1.04 (* end of lemma zenon_L363_ *) % 0.82/1.04 assert (zenon_L364_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_H178 zenon_H11e zenon_H45 zenon_H17e zenon_H38 zenon_H35 zenon_Ha8 zenon_H21f zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H7a zenon_H78 zenon_H16d zenon_H16c zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H4c zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L346_); trivial. % 0.82/1.04 apply (zenon_L362_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L354_); trivial. % 0.82/1.04 apply (zenon_L363_); trivial. % 0.82/1.04 (* end of lemma zenon_L364_ *) % 0.82/1.04 assert (zenon_L365_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H38 zenon_H35 zenon_H1f zenon_H21 zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15b zenon_H2d zenon_H9 zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L344_); trivial. % 0.82/1.04 apply (zenon_L16_); trivial. % 0.82/1.04 (* end of lemma zenon_L365_ *) % 0.82/1.04 assert (zenon_L366_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H4c zenon_H38 zenon_H13d zenon_H129 zenon_H122 zenon_H120 zenon_Ha8 zenon_H11e zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H15b zenon_H2d zenon_H9 zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L58_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L344_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.04 apply (zenon_L339_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.04 apply (zenon_L92_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.04 apply (zenon_L345_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.04 apply (zenon_L96_); trivial. % 0.82/1.04 apply (zenon_L97_); trivial. % 0.82/1.04 (* end of lemma zenon_L366_ *) % 0.82/1.04 assert (zenon_L367_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H49 zenon_H38 zenon_H13d zenon_H129 zenon_H122 zenon_H120 zenon_Ha8 zenon_H9 zenon_H11e zenon_H178 zenon_H16c zenon_H16d zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H14f zenon_H17a zenon_H17c zenon_H141 zenon_H169. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L156_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.04 apply (zenon_L92_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.04 apply (zenon_L157_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.04 apply (zenon_L96_); trivial. % 0.82/1.04 apply (zenon_L97_); trivial. % 0.82/1.04 (* end of lemma zenon_L367_ *) % 0.82/1.04 assert (zenon_L368_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_H178 zenon_H4c zenon_H38 zenon_H13d zenon_H129 zenon_H122 zenon_H120 zenon_Ha8 zenon_H11e zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H78 zenon_H7a zenon_H16d zenon_H16c zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L366_); trivial. % 0.82/1.04 apply (zenon_L362_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L58_); trivial. % 0.82/1.04 apply (zenon_L367_); trivial. % 0.82/1.04 apply (zenon_L363_); trivial. % 0.82/1.04 (* end of lemma zenon_L368_ *) % 0.82/1.04 assert (zenon_L369_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hf2 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H8d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.04 apply (zenon_L339_); trivial. % 0.82/1.04 apply (zenon_L216_); trivial. % 0.82/1.04 apply (zenon_L208_); trivial. % 0.82/1.04 (* end of lemma zenon_L369_ *) % 0.82/1.04 assert (zenon_L370_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H1d5 zenon_Hf2 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_H141 zenon_H4c zenon_H178 zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H86 zenon_H89 zenon_H8d zenon_H103. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.04 apply (zenon_L342_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L369_); trivial. % 0.82/1.04 apply (zenon_L341_); trivial. % 0.82/1.04 (* end of lemma zenon_L370_ *) % 0.82/1.04 assert (zenon_L371_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_H141 zenon_H17c zenon_H14f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H8d zenon_Ha8 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L369_); trivial. % 0.82/1.04 apply (zenon_L211_); trivial. % 0.82/1.04 (* end of lemma zenon_L371_ *) % 0.82/1.04 assert (zenon_L372_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H8d zenon_H225 zenon_H226 zenon_H227 zenon_H1e0 zenon_Hf2 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_H141 zenon_H4c zenon_H1d5 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H14f zenon_H17a zenon_H17c zenon_H103. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.04 apply (zenon_L212_); trivial. % 0.82/1.04 apply (zenon_L371_); trivial. % 0.82/1.04 (* end of lemma zenon_L372_ *) % 0.82/1.04 assert (zenon_L373_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H103 zenon_H178 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_H16d zenon_H16c zenon_Ha8 zenon_Hf2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L344_); trivial. % 0.82/1.04 apply (zenon_L170_); trivial. % 0.82/1.04 apply (zenon_L221_); trivial. % 0.82/1.04 apply (zenon_L283_); trivial. % 0.82/1.04 (* end of lemma zenon_L373_ *) % 0.82/1.04 assert (zenon_L374_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hee zenon_H103 zenon_Hcb zenon_H59 zenon_Hb9 zenon_H38 zenon_H89 zenon_H86 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_H1e0 zenon_H17a zenon_H227 zenon_H226 zenon_H225 zenon_H15b zenon_H30 zenon_H14f zenon_H17c zenon_H141 zenon_H169 zenon_H8d zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L344_); trivial. % 0.82/1.04 apply (zenon_L226_); trivial. % 0.82/1.04 apply (zenon_L208_); trivial. % 0.82/1.04 apply (zenon_L78_); trivial. % 0.82/1.04 (* end of lemma zenon_L374_ *) % 0.82/1.04 assert (zenon_L375_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H1d5 zenon_Hf2 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_H141 zenon_H4c zenon_H169 zenon_H17c zenon_H17a zenon_H14f zenon_H15b zenon_H16d zenon_H16c zenon_H178 zenon_H1e0 zenon_H227 zenon_H226 zenon_H225 zenon_H86 zenon_H89 zenon_H8d zenon_H103. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.04 apply (zenon_L353_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L369_); trivial. % 0.82/1.04 apply (zenon_L347_); trivial. % 0.82/1.04 (* end of lemma zenon_L375_ *) % 0.82/1.04 assert (zenon_L376_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W))))))\/(hskp1))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H1dd zenon_H103 zenon_H141 zenon_H17c zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H14f zenon_H8d zenon_H30 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_Hf2. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_L234_); trivial. % 0.82/1.04 apply (zenon_L211_); trivial. % 0.82/1.04 (* end of lemma zenon_L376_ *) % 0.82/1.04 assert (zenon_L377_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H225 zenon_H226 zenon_H227 zenon_H17a zenon_H1e0 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L7_); trivial. % 0.82/1.04 apply (zenon_L340_); trivial. % 0.82/1.04 (* end of lemma zenon_L377_ *) % 0.82/1.04 assert (zenon_L378_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H22e zenon_H12 zenon_H22f zenon_H230 zenon_H231. % 0.82/1.04 generalize (zenon_H22e (a902)). zenon_intro zenon_H232. % 0.82/1.04 apply (zenon_imply_s _ _ zenon_H232); [ zenon_intro zenon_H11 | zenon_intro zenon_H233 ]. % 0.82/1.04 exact (zenon_H11 zenon_H12). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ]. % 0.82/1.04 exact (zenon_H22f zenon_H235). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H237 | zenon_intro zenon_H236 ]. % 0.82/1.04 exact (zenon_H237 zenon_H230). % 0.82/1.04 exact (zenon_H236 zenon_H231). % 0.82/1.04 (* end of lemma zenon_L378_ *) % 0.82/1.04 assert (zenon_L379_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38))))) -> (ndr1_0) -> (forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51)))))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H238 zenon_H12 zenon_H9e zenon_H15 zenon_H16. % 0.82/1.04 generalize (zenon_H238 (a946)). zenon_intro zenon_H239. % 0.82/1.04 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_H11 | zenon_intro zenon_H23a ]. % 0.82/1.04 exact (zenon_H11 zenon_H12). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H9f | zenon_intro zenon_H19 ]. % 0.82/1.04 apply (zenon_L42_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_H1c | zenon_intro zenon_H1b ]. % 0.82/1.04 exact (zenon_H15 zenon_H1c). % 0.82/1.04 exact (zenon_H16 zenon_H1b). % 0.82/1.04 (* end of lemma zenon_L379_ *) % 0.82/1.04 assert (zenon_L380_ : ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (ndr1_0) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(hskp11)) -> (~(hskp27)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H23b zenon_H12 zenon_H15 zenon_H16 zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_H2d zenon_H1d. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H238 | zenon_intro zenon_H23d ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.82/1.04 apply (zenon_L378_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.82/1.04 apply (zenon_L379_); trivial. % 0.82/1.04 exact (zenon_H1d zenon_H1e). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H23d); [ zenon_intro zenon_H2e | zenon_intro zenon_H1e ]. % 0.82/1.04 exact (zenon_H2d zenon_H2e). % 0.82/1.04 exact (zenon_H1d zenon_H1e). % 0.82/1.04 (* end of lemma zenon_L380_ *) % 0.82/1.04 assert (zenon_L381_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H34 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H2d zenon_H23b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.04 apply (zenon_L380_); trivial. % 0.82/1.04 apply (zenon_L50_); trivial. % 0.82/1.04 (* end of lemma zenon_L381_ *) % 0.82/1.04 assert (zenon_L382_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hbd zenon_H38 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H2d zenon_H23b zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L29_); trivial. % 0.82/1.04 apply (zenon_L381_); trivial. % 0.82/1.04 (* end of lemma zenon_L382_ *) % 0.82/1.04 assert (zenon_L383_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Heb zenon_H4c zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H2d zenon_H23b zenon_H5 zenon_Ha8 zenon_Hb3 zenon_Hb8 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H1f zenon_H67 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.04 apply (zenon_L41_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.04 apply (zenon_L48_); trivial. % 0.82/1.04 apply (zenon_L382_); trivial. % 0.82/1.04 (* end of lemma zenon_L383_ *) % 0.82/1.04 assert (zenon_L384_ : (forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c1_1 X53)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H23f zenon_H12 zenon_H16c zenon_H1e8 zenon_H16d. % 0.82/1.04 generalize (zenon_H23f (a907)). zenon_intro zenon_H240. % 0.82/1.04 apply (zenon_imply_s _ _ zenon_H240); [ zenon_intro zenon_H11 | zenon_intro zenon_H241 ]. % 0.82/1.04 exact (zenon_H11 zenon_H12). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H172 | zenon_intro zenon_H242 ]. % 0.82/1.04 exact (zenon_H16c zenon_H172). % 0.82/1.04 apply (zenon_or_s _ _ zenon_H242); [ zenon_intro zenon_H1ec | zenon_intro zenon_H174 ]. % 0.82/1.04 exact (zenon_H1ec zenon_H1e8). % 0.82/1.04 exact (zenon_H174 zenon_H16d). % 0.82/1.04 (* end of lemma zenon_L384_ *) % 0.82/1.04 assert (zenon_L385_ : ((ndr1_0)/\((c0_1 (a907))/\((c1_1 (a907))/\(~(c2_1 (a907)))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X53 : zenon_U, ((ndr1_0)->((c2_1 X53)\/((~(c0_1 X53))\/(~(c1_1 X53))))))\/(hskp0))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp0)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H221 zenon_H243 zenon_H231 zenon_H230 zenon_H22f zenon_H45. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H22e | zenon_intro zenon_H244 ]. % 0.82/1.04 apply (zenon_L378_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H23f | zenon_intro zenon_H46 ]. % 0.82/1.04 apply (zenon_L384_); trivial. % 0.82/1.04 exact (zenon_H45 zenon_H46). % 0.82/1.04 (* end of lemma zenon_L385_ *) % 0.82/1.04 assert (zenon_L386_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp8)) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.04 do 0 intro. intros zenon_H2f zenon_H13d zenon_H86 zenon_H14 zenon_H15 zenon_H16 zenon_H89 zenon_H129 zenon_H122 zenon_H120 zenon_H145 zenon_H59 zenon_H1. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.82/1.04 apply (zenon_L124_); trivial. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.82/1.04 apply (zenon_L96_); trivial. % 0.82/1.04 apply (zenon_L102_); trivial. % 0.82/1.04 (* end of lemma zenon_L386_ *) % 0.82/1.04 assert (zenon_L387_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_H103 zenon_Hcb zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_H59 zenon_H145 zenon_H86 zenon_H89 zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H23b zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_Hf2. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.04 apply (zenon_L100_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.82/1.04 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.04 apply (zenon_L29_); trivial. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.04 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.04 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.04 apply (zenon_L380_); trivial. % 0.82/1.04 apply (zenon_L386_); trivial. % 0.82/1.04 apply (zenon_L382_); trivial. % 0.82/1.04 apply (zenon_L78_); trivial. % 0.82/1.04 (* end of lemma zenon_L387_ *) % 0.82/1.04 assert (zenon_L388_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.04 do 0 intro. intros zenon_Hf1 zenon_H5b zenon_H57 zenon_Hf2 zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H23b zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_H89 zenon_H86 zenon_H145 zenon_H59 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_Hcb zenon_H103. % 0.82/1.04 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.04 apply (zenon_L387_); trivial. % 0.82/1.04 apply (zenon_L139_); trivial. % 0.82/1.04 (* end of lemma zenon_L388_ *) % 0.82/1.04 assert (zenon_L389_ : ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H6e zenon_H12 zenon_H1d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.82/1.05 apply (zenon_L378_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.82/1.05 apply (zenon_L60_); trivial. % 0.82/1.05 exact (zenon_H1d zenon_H1e). % 0.82/1.05 (* end of lemma zenon_L389_ *) % 0.82/1.05 assert (zenon_L390_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H145 zenon_H1d zenon_H12 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_H59 zenon_H1. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.82/1.05 apply (zenon_L389_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.82/1.05 exact (zenon_H59 zenon_H5a). % 0.82/1.05 exact (zenon_H1 zenon_H2). % 0.82/1.05 (* end of lemma zenon_L390_ *) % 0.82/1.05 assert (zenon_L391_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp2)\/(hskp0))) -> (~(hskp0)) -> (~(hskp2)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hfc zenon_H4c zenon_H47 zenon_H45 zenon_H43 zenon_H35 zenon_H13d zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_H78 zenon_H7a zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H59 zenon_H145 zenon_H57 zenon_H5b zenon_Hc0. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_L390_); trivial. % 0.82/1.05 apply (zenon_L142_); trivial. % 0.82/1.05 apply (zenon_L138_); trivial. % 0.82/1.05 apply (zenon_L22_); trivial. % 0.82/1.05 (* end of lemma zenon_L391_ *) % 0.82/1.05 assert (zenon_L392_ : ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12 zenon_H1d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.82/1.05 apply (zenon_L378_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.82/1.05 apply (zenon_L73_); trivial. % 0.82/1.05 exact (zenon_H1d zenon_H1e). % 0.82/1.05 (* end of lemma zenon_L392_ *) % 0.82/1.05 assert (zenon_L393_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hf2 zenon_Ha8 zenon_H23c zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H2d zenon_H30 zenon_H35. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_L392_); trivial. % 0.82/1.05 apply (zenon_L15_); trivial. % 0.82/1.05 apply (zenon_L74_); trivial. % 0.82/1.05 (* end of lemma zenon_L393_ *) % 0.82/1.05 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H104 zenon_H103 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H14f zenon_H35 zenon_H30 zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_Ha8 zenon_Hf2. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.05 apply (zenon_L393_); trivial. % 0.82/1.05 apply (zenon_L147_); trivial. % 0.82/1.05 (* end of lemma zenon_L394_ *) % 0.82/1.05 assert (zenon_L395_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp21)) -> (~(hskp10)) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H35 zenon_H30 zenon_H9 zenon_H2d zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_H67 zenon_Hd zenon_H1f zenon_H1bf zenon_H1bd zenon_H23c. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.82/1.05 apply (zenon_L378_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.82/1.05 apply (zenon_L257_); trivial. % 0.82/1.05 exact (zenon_H1d zenon_H1e). % 0.82/1.05 apply (zenon_L15_); trivial. % 0.82/1.05 (* end of lemma zenon_L395_ *) % 0.82/1.05 assert (zenon_L396_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H21 zenon_H23c zenon_H1f zenon_H67 zenon_H231 zenon_H230 zenon_H22f zenon_H2d zenon_H9 zenon_H30 zenon_H35. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_L395_); trivial. % 0.82/1.05 apply (zenon_L16_); trivial. % 0.82/1.05 (* end of lemma zenon_L396_ *) % 0.82/1.05 assert (zenon_L397_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H4c zenon_H1da zenon_H23c zenon_H67 zenon_H231 zenon_H230 zenon_H22f zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_Hb9 zenon_H1db zenon_H1bc zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_L17_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.82/1.05 apply (zenon_L189_); trivial. % 0.82/1.05 apply (zenon_L396_); trivial. % 0.82/1.05 (* end of lemma zenon_L397_ *) % 0.82/1.05 assert (zenon_L398_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hf2 zenon_H1a5 zenon_H1a3 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H1bc zenon_H1db zenon_Hb9 zenon_H181 zenon_H182 zenon_H183 zenon_H1ab zenon_H22f zenon_H230 zenon_H231 zenon_H67 zenon_H23c zenon_H1da zenon_H4c. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.05 apply (zenon_L397_); trivial. % 0.82/1.05 apply (zenon_L171_); trivial. % 0.82/1.05 (* end of lemma zenon_L398_ *) % 0.82/1.05 assert (zenon_L399_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> (~(hskp14)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (~(hskp0)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H19f zenon_H17e zenon_H1 zenon_H57 zenon_H19d zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H45. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H17e); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H17f ]. % 0.82/1.05 apply (zenon_L164_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H17f); [ zenon_intro zenon_Hc1 | zenon_intro zenon_H46 ]. % 0.82/1.05 apply (zenon_L55_); trivial. % 0.82/1.05 exact (zenon_H45 zenon_H46). % 0.82/1.05 (* end of lemma zenon_L399_ *) % 0.82/1.05 assert (zenon_L400_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hbd zenon_H35 zenon_Hbb zenon_Hb9 zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_L392_); trivial. % 0.82/1.05 apply (zenon_L50_); trivial. % 0.82/1.05 (* end of lemma zenon_L400_ *) % 0.82/1.05 assert (zenon_L401_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> (~(hskp0)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hc0 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H19d zenon_H57 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H45 zenon_H17e zenon_H1a2. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.82/1.05 apply (zenon_L162_); trivial. % 0.82/1.05 apply (zenon_L399_); trivial. % 0.82/1.05 apply (zenon_L400_); trivial. % 0.82/1.05 (* end of lemma zenon_L401_ *) % 0.82/1.05 assert (zenon_L402_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H104 zenon_H103 zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H14f zenon_H35 zenon_H30 zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_Ha8 zenon_Hf2. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.05 apply (zenon_L393_); trivial. % 0.82/1.05 apply (zenon_L110_); trivial. % 0.82/1.05 (* end of lemma zenon_L402_ *) % 0.82/1.05 assert (zenon_L403_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hc0 zenon_H5b zenon_H57 zenon_H145 zenon_H59 zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H23c zenon_H2d zenon_H9 zenon_H30 zenon_H35. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_L390_); trivial. % 0.82/1.05 apply (zenon_L15_); trivial. % 0.82/1.05 apply (zenon_L138_); trivial. % 0.82/1.05 (* end of lemma zenon_L403_ *) % 0.82/1.05 assert (zenon_L404_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hf2 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Ha8 zenon_H35 zenon_H30 zenon_H2d zenon_H23c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H59 zenon_H145 zenon_H57 zenon_H5b zenon_Hc0. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.05 apply (zenon_L403_); trivial. % 0.82/1.05 apply (zenon_L233_); trivial. % 0.82/1.05 (* end of lemma zenon_L404_ *) % 0.82/1.05 assert (zenon_L405_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1dd zenon_H103 zenon_H141 zenon_H13d zenon_H129 zenon_H120 zenon_H122 zenon_H14f zenon_Hc0 zenon_H5b zenon_H57 zenon_H145 zenon_H59 zenon_H22f zenon_H230 zenon_H231 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H23c zenon_H30 zenon_H35 zenon_Ha8 zenon_H1d5 zenon_Hf2. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.05 apply (zenon_L404_); trivial. % 0.82/1.05 apply (zenon_L305_); trivial. % 0.82/1.05 (* end of lemma zenon_L405_ *) % 0.82/1.05 assert (zenon_L406_ : (forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48)))))) -> (ndr1_0) -> (c0_1 (a916)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a916)) -> (c3_1 (a916)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H70 zenon_H12 zenon_H133 zenon_H5d zenon_H134 zenon_H135. % 0.82/1.05 generalize (zenon_H70 (a916)). zenon_intro zenon_H245. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H245); [ zenon_intro zenon_H11 | zenon_intro zenon_H246 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H139 | zenon_intro zenon_H156 ]. % 0.82/1.05 exact (zenon_H139 zenon_H133). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H150 | zenon_intro zenon_H13a ]. % 0.82/1.05 apply (zenon_L111_); trivial. % 0.82/1.05 exact (zenon_H13a zenon_H135). % 0.82/1.05 (* end of lemma zenon_L406_ *) % 0.82/1.05 assert (zenon_L407_ : ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (c3_1 (a916)) -> (c1_1 (a916)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c0_1 (a916)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H6d zenon_H135 zenon_H134 zenon_H5d zenon_H133 zenon_H12 zenon_H69 zenon_H6b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.82/1.05 apply (zenon_L406_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H6a | zenon_intro zenon_H6c ]. % 0.82/1.05 exact (zenon_H69 zenon_H6a). % 0.82/1.05 exact (zenon_H6b zenon_H6c). % 0.82/1.05 (* end of lemma zenon_L407_ *) % 0.82/1.05 assert (zenon_L408_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp25)) -> (~(hskp21)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H13c zenon_H15b zenon_H6b zenon_H69 zenon_H6d zenon_H159 zenon_Hd. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H5d | zenon_intro zenon_H15c ]. % 0.82/1.05 apply (zenon_L407_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H15c); [ zenon_intro zenon_H15a | zenon_intro zenon_He ]. % 0.82/1.05 exact (zenon_H159 zenon_H15a). % 0.82/1.05 exact (zenon_Hd zenon_He). % 0.82/1.05 (* end of lemma zenon_L408_ *) % 0.82/1.05 assert (zenon_L409_ : (forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48)))))) -> (ndr1_0) -> (c0_1 (a960)) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22)))))) -> (~(c1_1 (a960))) -> (c3_1 (a960)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H70 zenon_H12 zenon_H15e zenon_H180 zenon_H15d zenon_H15f. % 0.82/1.05 generalize (zenon_H70 (a960)). zenon_intro zenon_H247. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H247); [ zenon_intro zenon_H11 | zenon_intro zenon_H248 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H248); [ zenon_intro zenon_H165 | zenon_intro zenon_H249 ]. % 0.82/1.05 exact (zenon_H165 zenon_H15e). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24a | zenon_intro zenon_H164 ]. % 0.82/1.05 generalize (zenon_H180 (a960)). zenon_intro zenon_H24b. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H24b); [ zenon_intro zenon_H11 | zenon_intro zenon_H24c ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H24c); [ zenon_intro zenon_H163 | zenon_intro zenon_H24d ]. % 0.82/1.05 exact (zenon_H15d zenon_H163). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H24e | zenon_intro zenon_H165 ]. % 0.82/1.05 exact (zenon_H24a zenon_H24e). % 0.82/1.05 exact (zenon_H165 zenon_H15e). % 0.82/1.05 exact (zenon_H164 zenon_H15f). % 0.82/1.05 (* end of lemma zenon_L409_ *) % 0.82/1.05 assert (zenon_L410_ : ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (c3_1 (a960)) -> (~(c1_1 (a960))) -> (forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22)))))) -> (c0_1 (a960)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H6d zenon_H15f zenon_H15d zenon_H180 zenon_H15e zenon_H12 zenon_H69 zenon_H6b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.82/1.05 apply (zenon_L409_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H6a | zenon_intro zenon_H6c ]. % 0.82/1.05 exact (zenon_H69 zenon_H6a). % 0.82/1.05 exact (zenon_H6b zenon_H6c). % 0.82/1.05 (* end of lemma zenon_L410_ *) % 0.82/1.05 assert (zenon_L411_ : ((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp23)) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1fe zenon_H6d zenon_H69 zenon_H6b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1fe). zenon_intro zenon_H12. zenon_intro zenon_H1ff. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H1ff). zenon_intro zenon_H1f3. zenon_intro zenon_H200. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H200). zenon_intro zenon_H1f4. zenon_intro zenon_H1f5. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H6d); [ zenon_intro zenon_H70 | zenon_intro zenon_H6f ]. % 0.82/1.05 apply (zenon_L245_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H6f); [ zenon_intro zenon_H6a | zenon_intro zenon_H6c ]. % 0.82/1.05 exact (zenon_H69 zenon_H6a). % 0.82/1.05 exact (zenon_H6b zenon_H6c). % 0.82/1.05 (* end of lemma zenon_L411_ *) % 0.82/1.05 assert (zenon_L412_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H166 zenon_H201 zenon_H6d zenon_H6b zenon_H69 zenon_H1f1. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H201); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1fe ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H180 | zenon_intro zenon_H1f2 ]. % 0.82/1.05 apply (zenon_L410_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1f2); [ zenon_intro zenon_H147 | zenon_intro zenon_H1f0 ]. % 0.82/1.05 apply (zenon_L129_); trivial. % 0.82/1.05 exact (zenon_H1ef zenon_H1f0). % 0.82/1.05 apply (zenon_L411_); trivial. % 0.82/1.05 (* end of lemma zenon_L412_ *) % 0.82/1.05 assert (zenon_L413_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (ndr1_0) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H169 zenon_H201 zenon_H1f1 zenon_H11e zenon_H9 zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H6d zenon_H6b zenon_H69 zenon_Hd zenon_H15b zenon_H141. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.05 apply (zenon_L92_); trivial. % 0.82/1.05 apply (zenon_L408_); trivial. % 0.82/1.05 apply (zenon_L412_); trivial. % 0.82/1.05 (* end of lemma zenon_L413_ *) % 0.82/1.05 assert (zenon_L414_ : ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a954)) -> (c1_1 (a954)) -> (~(c0_1 (a954))) -> (forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13)))))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp21)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H67 zenon_H7f zenon_H7e zenon_H7d zenon_H6e zenon_H12 zenon_H1f zenon_Hd. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H67); [ zenon_intro zenon_H5d | zenon_intro zenon_H68 ]. % 0.82/1.05 apply (zenon_L61_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H68); [ zenon_intro zenon_H20 | zenon_intro zenon_He ]. % 0.82/1.05 exact (zenon_H1f zenon_H20). % 0.82/1.05 exact (zenon_Hd zenon_He). % 0.82/1.05 (* end of lemma zenon_L414_ *) % 0.82/1.05 assert (zenon_L415_ : (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30)))))) -> (ndr1_0) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (c2_1 (a901)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1cb zenon_H12 zenon_H24f zenon_H250 zenon_H251. % 0.82/1.05 generalize (zenon_H1cb (a901)). zenon_intro zenon_H252. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H252); [ zenon_intro zenon_H11 | zenon_intro zenon_H253 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H255 | zenon_intro zenon_H254 ]. % 0.82/1.05 exact (zenon_H24f zenon_H255). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H257 | zenon_intro zenon_H256 ]. % 0.82/1.05 exact (zenon_H250 zenon_H257). % 0.82/1.05 exact (zenon_H256 zenon_H251). % 0.82/1.05 (* end of lemma zenon_L415_ *) % 0.82/1.05 assert (zenon_L416_ : (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (ndr1_0) -> (~(c0_1 (a901))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30)))))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H13 zenon_H12 zenon_H258 zenon_H1cb zenon_H24f zenon_H250. % 0.82/1.05 generalize (zenon_H13 (a901)). zenon_intro zenon_H259. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H259); [ zenon_intro zenon_H11 | zenon_intro zenon_H25a ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H25c | zenon_intro zenon_H25b ]. % 0.82/1.05 exact (zenon_H258 zenon_H25c). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H251 | zenon_intro zenon_H257 ]. % 0.82/1.05 apply (zenon_L415_); trivial. % 0.82/1.05 exact (zenon_H250 zenon_H257). % 0.82/1.05 (* end of lemma zenon_L416_ *) % 0.82/1.05 assert (zenon_L417_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (c3_1 (a954)) -> (c1_1 (a954)) -> (~(c0_1 (a954))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H145 zenon_H7f zenon_H7e zenon_H7d zenon_H12 zenon_H5d zenon_H59 zenon_H1. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.82/1.05 apply (zenon_L61_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.82/1.05 exact (zenon_H59 zenon_H5a). % 0.82/1.05 exact (zenon_H1 zenon_H2). % 0.82/1.05 (* end of lemma zenon_L417_ *) % 0.82/1.05 assert (zenon_L418_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp8)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H88 zenon_H89 zenon_H1 zenon_H59 zenon_H145 zenon_H258 zenon_H24f zenon_H250 zenon_H67 zenon_H1f zenon_Hd zenon_H1d5 zenon_H86. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H13 | zenon_intro zenon_H8c ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L414_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L416_); trivial. % 0.82/1.05 apply (zenon_L417_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H87 ]. % 0.82/1.05 apply (zenon_L35_); trivial. % 0.82/1.05 exact (zenon_H86 zenon_H87). % 0.82/1.05 (* end of lemma zenon_L418_ *) % 0.82/1.05 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H2f zenon_H145 zenon_H6b zenon_H69 zenon_H6d zenon_H59 zenon_H1. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.82/1.05 apply (zenon_L32_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.82/1.05 exact (zenon_H59 zenon_H5a). % 0.82/1.05 exact (zenon_H1 zenon_H2). % 0.82/1.05 (* end of lemma zenon_L419_ *) % 0.82/1.05 assert (zenon_L420_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp14)) -> (~(hskp7)) -> (~(hskp23)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H35 zenon_H145 zenon_H1 zenon_H59 zenon_H69 zenon_H6b zenon_H6d zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_L12_); trivial. % 0.82/1.05 apply (zenon_L419_); trivial. % 0.82/1.05 (* end of lemma zenon_L420_ *) % 0.82/1.05 assert (zenon_L421_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp7)) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H1f zenon_H6d zenon_H6b zenon_H59 zenon_H1 zenon_H145 zenon_H35. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L420_); trivial. % 0.82/1.05 apply (zenon_L37_); trivial. % 0.82/1.05 (* end of lemma zenon_L421_ *) % 0.82/1.05 assert (zenon_L422_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9d zenon_H8e zenon_H3 zenon_H78 zenon_H8d zenon_H89 zenon_H86 zenon_H67 zenon_H1f zenon_H258 zenon_H24f zenon_H250 zenon_H145 zenon_H1 zenon_H59 zenon_H1d5 zenon_H141 zenon_H15b zenon_H6d zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_H35 zenon_H21 zenon_H38. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L413_); trivial. % 0.82/1.05 apply (zenon_L418_); trivial. % 0.82/1.05 apply (zenon_L421_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 (* end of lemma zenon_L422_ *) % 0.82/1.05 assert (zenon_L423_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H5b zenon_H57 zenon_H169 zenon_H201 zenon_H1f1 zenon_H11e zenon_H6d zenon_H15b zenon_H141 zenon_H1d5 zenon_H59 zenon_H145 zenon_H250 zenon_H24f zenon_H258 zenon_H67 zenon_H86 zenon_H89 zenon_H8d zenon_H78 zenon_H3 zenon_H8e zenon_H9d zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_L17_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_L422_); trivial. % 0.82/1.05 apply (zenon_L138_); trivial. % 0.82/1.05 (* end of lemma zenon_L423_ *) % 0.82/1.05 assert (zenon_L424_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (ndr1_0) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H169 zenon_H201 zenon_H1f1 zenon_H14f zenon_H12 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Hd zenon_H15b zenon_H6d zenon_H6b zenon_H69 zenon_H141. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.05 apply (zenon_L128_); trivial. % 0.82/1.05 apply (zenon_L408_); trivial. % 0.82/1.05 apply (zenon_L412_); trivial. % 0.82/1.05 (* end of lemma zenon_L424_ *) % 0.82/1.05 assert (zenon_L425_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(hskp3)) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H100 zenon_Hc0 zenon_H5b zenon_H57 zenon_H38 zenon_H21 zenon_H35 zenon_H169 zenon_H201 zenon_H1f1 zenon_H14f zenon_H15b zenon_H6d zenon_H141 zenon_H1d5 zenon_H59 zenon_H145 zenon_H250 zenon_H24f zenon_H258 zenon_H1f zenon_H67 zenon_H86 zenon_H89 zenon_H8d zenon_H78 zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L424_); trivial. % 0.82/1.05 apply (zenon_L418_); trivial. % 0.82/1.05 apply (zenon_L421_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 apply (zenon_L138_); trivial. % 0.82/1.05 (* end of lemma zenon_L425_ *) % 0.82/1.05 assert (zenon_L426_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30)))))) -> (~(c3_1 (a901))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Ha4 zenon_H12 zenon_H258 zenon_H24f zenon_H1cb zenon_H250. % 0.82/1.05 generalize (zenon_Ha4 (a901)). zenon_intro zenon_H25d. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_H11 | zenon_intro zenon_H25e ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H25c | zenon_intro zenon_H25f ]. % 0.82/1.05 exact (zenon_H258 zenon_H25c). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H255 | zenon_intro zenon_H251 ]. % 0.82/1.05 exact (zenon_H24f zenon_H255). % 0.82/1.05 apply (zenon_L415_); trivial. % 0.82/1.05 (* end of lemma zenon_L426_ *) % 0.82/1.05 assert (zenon_L427_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (c3_1 (a954)) -> (c1_1 (a954)) -> (~(c0_1 (a954))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H145 zenon_H7f zenon_H7e zenon_H7d zenon_H12 zenon_H59 zenon_H1. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L62_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L426_); trivial. % 0.82/1.05 apply (zenon_L417_); trivial. % 0.82/1.05 (* end of lemma zenon_L427_ *) % 0.82/1.05 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H88 zenon_Hb3 zenon_H1 zenon_H59 zenon_H145 zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H3c zenon_H3b zenon_H3a zenon_Haa zenon_Hab zenon_Hac. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.05 apply (zenon_L427_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.05 apply (zenon_L18_); trivial. % 0.82/1.05 apply (zenon_L45_); trivial. % 0.82/1.05 (* end of lemma zenon_L428_ *) % 0.82/1.05 assert (zenon_L429_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c0_1 (a939)) -> (~(c3_1 (a939))) -> (~(c1_1 (a939))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp7)) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H34 zenon_H8d zenon_Hb3 zenon_Hac zenon_Hab zenon_Haa zenon_H3c zenon_H3b zenon_H3a zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H21 zenon_H1f zenon_H6d zenon_H6b zenon_H59 zenon_H1 zenon_H145 zenon_H35. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L420_); trivial. % 0.82/1.05 apply (zenon_L428_); trivial. % 0.82/1.05 (* end of lemma zenon_L429_ *) % 0.82/1.05 assert (zenon_L430_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H9d zenon_H8e zenon_H78 zenon_H5 zenon_H3 zenon_H1 zenon_H8d zenon_Hb3 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H145 zenon_H59 zenon_H1d5 zenon_H141 zenon_H15b zenon_H6d zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_H35 zenon_H1f zenon_H21 zenon_H38 zenon_Hb8. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.05 apply (zenon_L3_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L413_); trivial. % 0.82/1.05 apply (zenon_L428_); trivial. % 0.82/1.05 apply (zenon_L429_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 (* end of lemma zenon_L430_ *) % 0.82/1.05 assert (zenon_L431_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H5b zenon_H57 zenon_Hb8 zenon_H169 zenon_H201 zenon_H1f1 zenon_H11e zenon_H6d zenon_H15b zenon_H141 zenon_H1d5 zenon_H59 zenon_H145 zenon_H250 zenon_H24f zenon_H258 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_Hb3 zenon_H8d zenon_H3 zenon_H5 zenon_H78 zenon_H8e zenon_H9d zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_L17_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_L430_); trivial. % 0.82/1.05 apply (zenon_L138_); trivial. % 0.82/1.05 (* end of lemma zenon_L431_ *) % 0.82/1.05 assert (zenon_L432_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c1_1 (a900)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (c3_1 (a916)) -> (c1_1 (a916)) -> (c0_1 (a916)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d5 zenon_H24 zenon_H25 zenon_H26 zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H6d zenon_H135 zenon_H134 zenon_H133 zenon_H12 zenon_H69 zenon_H6b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L32_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L426_); trivial. % 0.82/1.05 apply (zenon_L407_); trivial. % 0.82/1.05 (* end of lemma zenon_L432_ *) % 0.82/1.05 assert (zenon_L433_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (c3_1 (a900)) -> (c2_1 (a900)) -> (c1_1 (a900)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H13c zenon_Hb3 zenon_H6b zenon_H69 zenon_H6d zenon_H258 zenon_H24f zenon_H250 zenon_H26 zenon_H25 zenon_H24 zenon_H1d5 zenon_H3c zenon_H3b zenon_H3a zenon_Haa zenon_Hab zenon_Hac. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.05 apply (zenon_L432_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.05 apply (zenon_L18_); trivial. % 0.82/1.05 apply (zenon_L45_); trivial. % 0.82/1.05 (* end of lemma zenon_L433_ *) % 0.82/1.05 assert (zenon_L434_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c0_1 (a939)) -> (~(c3_1 (a939))) -> (~(c1_1 (a939))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H2f zenon_H141 zenon_Hb3 zenon_Hac zenon_Hab zenon_Haa zenon_H6d zenon_H6b zenon_H69 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.05 apply (zenon_L92_); trivial. % 0.82/1.05 apply (zenon_L433_); trivial. % 0.82/1.05 (* end of lemma zenon_L434_ *) % 0.82/1.05 assert (zenon_L435_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c0_1 (a939)) -> (~(c3_1 (a939))) -> (~(c1_1 (a939))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H35 zenon_H141 zenon_Hb3 zenon_Hac zenon_Hab zenon_Haa zenon_H6d zenon_H6b zenon_H69 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H12 zenon_H14 zenon_H15 zenon_H16 zenon_H1f zenon_H21. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.05 apply (zenon_L12_); trivial. % 0.82/1.05 apply (zenon_L434_); trivial. % 0.82/1.05 (* end of lemma zenon_L435_ *) % 0.82/1.05 assert (zenon_L436_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H1f zenon_H11e zenon_H9 zenon_H3c zenon_H3b zenon_H3a zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H6b zenon_H6d zenon_Haa zenon_Hab zenon_Hac zenon_Hb3 zenon_H141 zenon_H35. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L435_); trivial. % 0.82/1.05 apply (zenon_L37_); trivial. % 0.82/1.05 (* end of lemma zenon_L436_ *) % 0.82/1.05 assert (zenon_L437_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hbd zenon_H38 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H1f zenon_H21 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_L196_); trivial. % 0.82/1.05 apply (zenon_L51_); trivial. % 0.82/1.05 (* end of lemma zenon_L437_ *) % 0.82/1.05 assert (zenon_L438_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H103 zenon_H67 zenon_H9d zenon_H8e zenon_H3 zenon_H7a zenon_H78 zenon_H6d zenon_H86 zenon_H89 zenon_H8d zenon_H5 zenon_H178 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hb8 zenon_Hb9 zenon_Hbb zenon_Hc0 zenon_H4c zenon_H141 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf2. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.05 apply (zenon_L198_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_L71_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.05 apply (zenon_L3_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_L196_); trivial. % 0.82/1.05 apply (zenon_L436_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 apply (zenon_L437_); trivial. % 0.82/1.05 apply (zenon_L77_); trivial. % 0.82/1.05 (* end of lemma zenon_L438_ *) % 0.82/1.05 assert (zenon_L439_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (c3_1 (a916)) -> (c1_1 (a916)) -> (c0_1 (a916)) -> (ndr1_0) -> (~(hskp23)) -> (~(hskp15)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H6d zenon_H135 zenon_H134 zenon_H133 zenon_H12 zenon_H69 zenon_H6b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L57_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L426_); trivial. % 0.82/1.05 apply (zenon_L407_); trivial. % 0.82/1.05 (* end of lemma zenon_L439_ *) % 0.82/1.05 assert (zenon_L440_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H13c zenon_Hb3 zenon_H6b zenon_H69 zenon_H6d zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H3c zenon_H3b zenon_H3a zenon_Haa zenon_Hab zenon_Hac. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.05 apply (zenon_L439_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.05 apply (zenon_L18_); trivial. % 0.82/1.05 apply (zenon_L45_); trivial. % 0.82/1.05 (* end of lemma zenon_L440_ *) % 0.82/1.05 assert (zenon_L441_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c0_1 (a939)) -> (~(c3_1 (a939))) -> (~(c1_1 (a939))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H141 zenon_Hb3 zenon_Hac zenon_Hab zenon_Haa zenon_Hcd zenon_Hce zenon_Hcf zenon_H258 zenon_H24f zenon_H250 zenon_H6d zenon_H6b zenon_H69 zenon_H1d5 zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.05 apply (zenon_L92_); trivial. % 0.82/1.05 apply (zenon_L440_); trivial. % 0.82/1.05 (* end of lemma zenon_L441_ *) % 0.82/1.05 assert (zenon_L442_ : ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> (c3_1 (a916)) -> (c1_1 (a916)) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp5)) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hbb zenon_H50 zenon_H4f zenon_H4e zenon_H135 zenon_H134 zenon_H12 zenon_Ha4 zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_Hb9. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_H4d | zenon_intro zenon_Hbc ]. % 0.82/1.05 apply (zenon_L24_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hbc); [ zenon_intro zenon_H23 | zenon_intro zenon_Hba ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L57_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L426_); trivial. % 0.82/1.05 apply (zenon_L112_); trivial. % 0.82/1.05 exact (zenon_Hb9 zenon_Hba). % 0.82/1.05 (* end of lemma zenon_L442_ *) % 0.82/1.05 assert (zenon_L443_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hbd zenon_H141 zenon_H1e2 zenon_H43 zenon_H17a zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_Hb9 zenon_Hbb zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.05 apply (zenon_L92_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H1e3 ]. % 0.82/1.05 apply (zenon_L442_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H17b | zenon_intro zenon_H44 ]. % 0.82/1.05 exact (zenon_H17a zenon_H17b). % 0.82/1.05 exact (zenon_H43 zenon_H44). % 0.82/1.05 (* end of lemma zenon_L443_ *) % 0.82/1.05 assert (zenon_L444_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H1e2 zenon_H43 zenon_H17a zenon_Hb9 zenon_Hbb zenon_Hb8 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H11e zenon_H9 zenon_H1d5 zenon_H6d zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_H141 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178 zenon_H3 zenon_H5 zenon_H8e zenon_H9d zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_L58_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.05 apply (zenon_L3_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_L196_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L441_); trivial. % 0.82/1.05 apply (zenon_L37_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 apply (zenon_L443_); trivial. % 0.82/1.05 (* end of lemma zenon_L444_ *) % 0.82/1.05 assert (zenon_L445_ : (forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26)))))) -> (ndr1_0) -> (~(c0_1 (a954))) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a954)) -> (c3_1 (a954)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1ad zenon_H12 zenon_H7d zenon_H5d zenon_H7e zenon_H7f. % 0.82/1.05 generalize (zenon_H1ad (a954)). zenon_intro zenon_H260. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H260); [ zenon_intro zenon_H11 | zenon_intro zenon_H261 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H261); [ zenon_intro zenon_H83 | zenon_intro zenon_H1e6 ]. % 0.82/1.05 exact (zenon_H7d zenon_H83). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_Hea | zenon_intro zenon_H84 ]. % 0.82/1.05 apply (zenon_L213_); trivial. % 0.82/1.05 exact (zenon_H84 zenon_H7f). % 0.82/1.05 (* end of lemma zenon_L445_ *) % 0.82/1.05 assert (zenon_L446_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (c3_1 (a954)) -> (c1_1 (a954)) -> (~(c0_1 (a954))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp5)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1db zenon_H3c zenon_H3b zenon_H3a zenon_H7f zenon_H7e zenon_H7d zenon_H12 zenon_Ha4 zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_Hb9. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H39 | zenon_intro zenon_H1dc ]. % 0.82/1.05 apply (zenon_L18_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1dc); [ zenon_intro zenon_H1ad | zenon_intro zenon_Hba ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L62_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L426_); trivial. % 0.82/1.05 apply (zenon_L445_); trivial. % 0.82/1.05 exact (zenon_Hb9 zenon_Hba). % 0.82/1.05 (* end of lemma zenon_L446_ *) % 0.82/1.05 assert (zenon_L447_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H88 zenon_Hb3 zenon_Hb9 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H1db zenon_H3c zenon_H3b zenon_H3a zenon_Haa zenon_Hab zenon_Hac. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.05 apply (zenon_L446_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.05 apply (zenon_L18_); trivial. % 0.82/1.05 apply (zenon_L45_); trivial. % 0.82/1.05 (* end of lemma zenon_L447_ *) % 0.82/1.05 assert (zenon_L448_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H34 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_Hb9 zenon_H1db zenon_H21 zenon_H1f zenon_H11e zenon_H9 zenon_H3c zenon_H3b zenon_H3a zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H6b zenon_H6d zenon_Haa zenon_Hab zenon_Hac zenon_Hb3 zenon_H141 zenon_H35. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L435_); trivial. % 0.82/1.05 apply (zenon_L447_); trivial. % 0.82/1.05 (* end of lemma zenon_L448_ *) % 0.82/1.05 assert (zenon_L449_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H103 zenon_H67 zenon_H9d zenon_H8e zenon_H3 zenon_H7a zenon_H78 zenon_H6d zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H8d zenon_H5 zenon_H178 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H1db zenon_Hb9 zenon_Hb8 zenon_Hbb zenon_Hc0 zenon_H4c zenon_H141 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf2. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.05 apply (zenon_L198_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.05 apply (zenon_L65_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.05 apply (zenon_L3_); trivial. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_L196_); trivial. % 0.82/1.05 apply (zenon_L448_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 apply (zenon_L437_); trivial. % 0.82/1.05 apply (zenon_L68_); trivial. % 0.82/1.05 (* end of lemma zenon_L449_ *) % 0.82/1.05 assert (zenon_L450_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H88 zenon_H169 zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H30 zenon_H9 zenon_H2d zenon_Hd zenon_H15b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.82/1.05 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.82/1.05 apply (zenon_L277_); trivial. % 0.82/1.05 apply (zenon_L359_); trivial. % 0.82/1.05 (* end of lemma zenon_L450_ *) % 0.82/1.05 assert (zenon_L451_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H8d zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H30 zenon_H2d zenon_H141 zenon_H15b zenon_Hd zenon_H6b zenon_H6d zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.05 apply (zenon_L413_); trivial. % 0.82/1.05 apply (zenon_L450_); trivial. % 0.82/1.05 (* end of lemma zenon_L451_ *) % 0.82/1.05 assert (zenon_L452_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hbd zenon_H9d zenon_H8e zenon_H3 zenon_H78 zenon_H8d zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H30 zenon_H2d zenon_H141 zenon_H15b zenon_H6d zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_H21 zenon_Hb9 zenon_Hbb zenon_H35 zenon_H38. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.05 apply (zenon_L451_); trivial. % 0.82/1.05 apply (zenon_L51_); trivial. % 0.82/1.05 apply (zenon_L40_); trivial. % 0.82/1.05 (* end of lemma zenon_L452_ *) % 0.82/1.05 assert (zenon_L453_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9))))) -> (ndr1_0) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> False). % 0.82/1.05 do 0 intro. intros zenon_H262 zenon_H12 zenon_H258 zenon_H24f zenon_H250. % 0.82/1.05 generalize (zenon_H262 (a901)). zenon_intro zenon_H263. % 0.82/1.05 apply (zenon_imply_s _ _ zenon_H263); [ zenon_intro zenon_H11 | zenon_intro zenon_H264 ]. % 0.82/1.05 exact (zenon_H11 zenon_H12). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H25c | zenon_intro zenon_H265 ]. % 0.82/1.05 exact (zenon_H258 zenon_H25c). % 0.82/1.05 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H255 | zenon_intro zenon_H257 ]. % 0.82/1.05 exact (zenon_H24f zenon_H255). % 0.82/1.05 exact (zenon_H250 zenon_H257). % 0.82/1.05 (* end of lemma zenon_L453_ *) % 0.82/1.05 assert (zenon_L454_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H18e zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.05 apply (zenon_L57_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.05 apply (zenon_L426_); trivial. % 0.82/1.05 apply (zenon_L223_); trivial. % 0.82/1.05 (* end of lemma zenon_L454_ *) % 0.82/1.05 assert (zenon_L455_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H266 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.82/1.05 apply (zenon_L453_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.82/1.05 apply (zenon_L57_); trivial. % 0.82/1.05 apply (zenon_L454_); trivial. % 0.82/1.05 (* end of lemma zenon_L455_ *) % 0.82/1.05 assert (zenon_L456_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.82/1.05 do 0 intro. intros zenon_Hee zenon_H1e2 zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H266 zenon_H17a zenon_H43. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.82/1.05 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H1e3 ]. % 0.82/1.05 apply (zenon_L455_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H17b | zenon_intro zenon_H44 ]. % 0.82/1.05 exact (zenon_H17a zenon_H17b). % 0.82/1.05 exact (zenon_H43 zenon_H44). % 0.82/1.05 (* end of lemma zenon_L456_ *) % 0.82/1.05 assert (zenon_L457_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H7a zenon_H12 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H18e zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H78 zenon_Hb. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H6e | zenon_intro zenon_H7b ]. % 0.82/1.05 apply (zenon_L229_); trivial. % 0.82/1.05 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H79 | zenon_intro zenon_Hc ]. % 0.82/1.05 exact (zenon_H78 zenon_H79). % 0.82/1.05 exact (zenon_Hb zenon_Hc). % 0.82/1.05 (* end of lemma zenon_L457_ *) % 0.82/1.05 assert (zenon_L458_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.82/1.05 do 0 intro. intros zenon_H34 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H7a zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H78 zenon_Hb. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.82/1.06 apply (zenon_L453_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.82/1.06 apply (zenon_L9_); trivial. % 0.82/1.06 apply (zenon_L457_); trivial. % 0.82/1.06 (* end of lemma zenon_L458_ *) % 0.82/1.06 assert (zenon_L459_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H38 zenon_H268 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H78 zenon_H7a zenon_H250 zenon_H24f zenon_H258 zenon_H9 zenon_Hb zenon_Hf. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.06 apply (zenon_L7_); trivial. % 0.82/1.06 apply (zenon_L458_); trivial. % 0.82/1.06 (* end of lemma zenon_L459_ *) % 0.82/1.06 assert (zenon_L460_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (ndr1_0) -> False). % 0.82/1.06 do 0 intro. intros zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H18e zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H12. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.82/1.06 apply (zenon_L73_); trivial. % 0.82/1.06 apply (zenon_L223_); trivial. % 0.82/1.06 (* end of lemma zenon_L460_ *) % 0.82/1.06 assert (zenon_L461_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H100 zenon_H38 zenon_H268 zenon_H16c zenon_H16d zenon_H1e8 zenon_H250 zenon_H24f zenon_H258 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.06 apply (zenon_L196_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.82/1.06 apply (zenon_L453_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.82/1.06 apply (zenon_L9_); trivial. % 0.82/1.06 apply (zenon_L460_); trivial. % 0.82/1.06 (* end of lemma zenon_L461_ *) % 0.82/1.06 assert (zenon_L462_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_Hf1 zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H7a zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H9d zenon_H8e zenon_H3 zenon_H78 zenon_H8d zenon_H89 zenon_H86 zenon_H67 zenon_H258 zenon_H24f zenon_H250 zenon_H145 zenon_H59 zenon_H1d5 zenon_H141 zenon_H15b zenon_H6d zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_H57 zenon_H5b zenon_Hc0 zenon_H4c zenon_H14f zenon_H103. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.06 apply (zenon_L423_); trivial. % 0.82/1.06 apply (zenon_L87_); trivial. % 0.82/1.06 apply (zenon_L425_); trivial. % 0.82/1.06 apply (zenon_L139_); trivial. % 0.82/1.06 (* end of lemma zenon_L462_ *) % 0.82/1.06 assert (zenon_L463_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> (~(hskp6)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_Hf2 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H7a zenon_H67 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H9d zenon_H8e zenon_H78 zenon_H5 zenon_H3 zenon_H8d zenon_Hb3 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H145 zenon_H59 zenon_H1d5 zenon_H141 zenon_H15b zenon_H6d zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_Hb8 zenon_H57 zenon_H5b zenon_Hc0 zenon_H4c. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.06 apply (zenon_L431_); trivial. % 0.82/1.06 apply (zenon_L89_); trivial. % 0.82/1.06 (* end of lemma zenon_L463_ *) % 0.82/1.06 assert (zenon_L464_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp6)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp12)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H5b zenon_H57 zenon_Hb8 zenon_H169 zenon_H201 zenon_H1f1 zenon_H14f zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H141 zenon_H1d5 zenon_H59 zenon_H145 zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_H5 zenon_H38 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H21 zenon_H1f zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_H9 zenon_Hf zenon_H3 zenon_H8e zenon_H9d. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.06 apply (zenon_L65_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.82/1.06 apply (zenon_L3_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.82/1.06 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.06 apply (zenon_L424_); trivial. % 0.82/1.06 apply (zenon_L428_); trivial. % 0.82/1.06 apply (zenon_L429_); trivial. % 0.82/1.06 apply (zenon_L40_); trivial. % 0.82/1.06 apply (zenon_L138_); trivial. % 0.82/1.06 (* end of lemma zenon_L464_ *) % 0.82/1.06 assert (zenon_L465_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp15)) -> (~(hskp23)) -> (c1_1 (a900)) -> (c2_1 (a900)) -> (c3_1 (a900)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (ndr1_0) -> (c0_1 (a916)) -> (c1_1 (a916)) -> (c3_1 (a916)) -> False). % 0.82/1.06 do 0 intro. intros zenon_H1d5 zenon_H6b zenon_H69 zenon_H24 zenon_H25 zenon_H26 zenon_H6d zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H16a zenon_H16d zenon_H16c zenon_H10a zenon_H109 zenon_H108 zenon_H12 zenon_H133 zenon_H134 zenon_H135. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.82/1.06 apply (zenon_L32_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.82/1.06 apply (zenon_L426_); trivial. % 0.82/1.06 apply (zenon_L272_); trivial. % 0.82/1.06 (* end of lemma zenon_L465_ *) % 0.82/1.06 assert (zenon_L466_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H34 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H1f zenon_H11e zenon_H9 zenon_H3c zenon_H3b zenon_H3a zenon_H1d5 zenon_H16c zenon_H16d zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H250 zenon_H24f zenon_H258 zenon_H6b zenon_H6d zenon_H11a zenon_Hb3 zenon_H141 zenon_H35. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.82/1.06 apply (zenon_L12_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.82/1.06 apply (zenon_L92_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.82/1.06 apply (zenon_L465_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.82/1.06 apply (zenon_L18_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.82/1.06 apply (zenon_L465_); trivial. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.82/1.06 apply (zenon_L82_); trivial. % 0.82/1.06 apply (zenon_L83_); trivial. % 0.82/1.06 apply (zenon_L37_); trivial. % 0.82/1.06 (* end of lemma zenon_L466_ *) % 0.82/1.06 assert (zenon_L467_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Ha8 zenon_H9d zenon_H8e zenon_H3 zenon_Hf zenon_H35 zenon_H7a zenon_H78 zenon_H6d zenon_H1f zenon_H21 zenon_H86 zenon_H89 zenon_H8d zenon_H38 zenon_H11e zenon_H1d5 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_Hb3 zenon_H141 zenon_H178 zenon_H16c zenon_H16d zenon_H67 zenon_H15b zenon_H169 zenon_H4c. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.06 apply (zenon_L71_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.06 apply (zenon_L360_); trivial. % 0.82/1.06 apply (zenon_L466_); trivial. % 0.82/1.06 apply (zenon_L40_); trivial. % 0.82/1.06 apply (zenon_L87_); trivial. % 0.82/1.06 (* end of lemma zenon_L467_ *) % 0.82/1.06 assert (zenon_L468_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp4)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.82/1.06 do 0 intro. intros zenon_H103 zenon_H4c zenon_H178 zenon_H16c zenon_H16d zenon_H67 zenon_H30 zenon_H141 zenon_H15b zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_Hb3 zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H1d5 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H21 zenon_H1f zenon_H6d zenon_H78 zenon_H7a zenon_H35 zenon_Hf zenon_H3 zenon_H8e zenon_H9d zenon_Ha8 zenon_Hf2. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.82/1.06 apply (zenon_L71_); trivial. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.82/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.82/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.82/1.06 apply (zenon_L451_); trivial. % 0.82/1.06 apply (zenon_L466_); trivial. % 0.82/1.06 apply (zenon_L40_); trivial. % 0.82/1.06 apply (zenon_L87_); trivial. % 0.82/1.06 apply (zenon_L467_); trivial. % 0.82/1.06 (* end of lemma zenon_L468_ *) % 0.82/1.06 assert (zenon_L469_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H49 zenon_Hb3 zenon_H11a zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H266 zenon_H108 zenon_H10a zenon_H109. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.06 apply (zenon_L455_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.06 apply (zenon_L18_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.06 apply (zenon_L455_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.06 apply (zenon_L82_); trivial. % 0.90/1.06 apply (zenon_L83_); trivial. % 0.90/1.06 (* end of lemma zenon_L469_ *) % 0.90/1.06 assert (zenon_L470_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hee zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H266 zenon_H78 zenon_H7a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_L58_); trivial. % 0.90/1.06 apply (zenon_L469_); trivial. % 0.90/1.06 (* end of lemma zenon_L470_ *) % 0.90/1.06 assert (zenon_L471_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (ndr1_0) -> (c0_1 (a916)) -> (c1_1 (a916)) -> (c3_1 (a916)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H13 zenon_H16a zenon_H16d zenon_H16c zenon_H10a zenon_H109 zenon_H108 zenon_H12 zenon_H133 zenon_H134 zenon_H135. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.06 apply (zenon_L285_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.06 apply (zenon_L416_); trivial. % 0.90/1.06 apply (zenon_L272_); trivial. % 0.90/1.06 (* end of lemma zenon_L471_ *) % 0.90/1.06 assert (zenon_L472_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H18e zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.06 apply (zenon_L229_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.06 apply (zenon_L426_); trivial. % 0.90/1.06 apply (zenon_L223_); trivial. % 0.90/1.06 (* end of lemma zenon_L472_ *) % 0.90/1.06 assert (zenon_L473_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c3_1 (a916)) -> (c1_1 (a916)) -> (c0_1 (a916)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H268 zenon_H135 zenon_H134 zenon_H133 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.06 apply (zenon_L453_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.06 apply (zenon_L471_); trivial. % 0.90/1.06 apply (zenon_L472_); trivial. % 0.90/1.06 (* end of lemma zenon_L473_ *) % 0.90/1.06 assert (zenon_L474_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H13c zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H16a zenon_H268 zenon_H108 zenon_H10a zenon_H109. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.06 apply (zenon_L473_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.06 apply (zenon_L18_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.06 apply (zenon_L473_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.06 apply (zenon_L82_); trivial. % 0.90/1.06 apply (zenon_L83_); trivial. % 0.90/1.06 (* end of lemma zenon_L474_ *) % 0.90/1.06 assert (zenon_L475_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H49 zenon_H141 zenon_Hb3 zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8 zenon_H1e8 zenon_H268 zenon_H9 zenon_H11e. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.06 apply (zenon_L92_); trivial. % 0.90/1.06 apply (zenon_L474_); trivial. % 0.90/1.06 (* end of lemma zenon_L475_ *) % 0.90/1.06 assert (zenon_L476_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (ndr1_0) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H13 zenon_H12 zenon_H5e zenon_H5f zenon_H60. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.06 apply (zenon_L232_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.06 apply (zenon_L416_); trivial. % 0.90/1.06 apply (zenon_L28_); trivial. % 0.90/1.06 (* end of lemma zenon_L476_ *) % 0.90/1.06 assert (zenon_L477_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp3)) -> (~(hskp13)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H268 zenon_H60 zenon_H5f zenon_H5e zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H7a zenon_H12 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H78 zenon_Hb. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.06 apply (zenon_L453_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.06 apply (zenon_L476_); trivial. % 0.90/1.06 apply (zenon_L457_); trivial. % 0.90/1.06 (* end of lemma zenon_L477_ *) % 0.90/1.06 assert (zenon_L478_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Heb zenon_H4c zenon_H38 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H1f zenon_H67 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H7a zenon_H78 zenon_H16c zenon_H16d zenon_H1e8 zenon_H268. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_L477_); trivial. % 0.90/1.06 apply (zenon_L86_); trivial. % 0.90/1.06 (* end of lemma zenon_L478_ *) % 0.90/1.06 assert (zenon_L479_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H4c zenon_H141 zenon_Hb3 zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8 zenon_H1e8 zenon_H268 zenon_H9 zenon_H11e zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_L58_); trivial. % 0.90/1.06 apply (zenon_L475_); trivial. % 0.90/1.06 (* end of lemma zenon_L479_ *) % 0.90/1.06 assert (zenon_L480_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (ndr1_0) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H13 zenon_H12 zenon_H5e zenon_H5f zenon_H60. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.06 apply (zenon_L57_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.06 apply (zenon_L416_); trivial. % 0.90/1.06 apply (zenon_L28_); trivial. % 0.90/1.06 (* end of lemma zenon_L480_ *) % 0.90/1.06 assert (zenon_L481_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H268 zenon_H60 zenon_H5f zenon_H5e zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.06 apply (zenon_L453_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.06 apply (zenon_L480_); trivial. % 0.90/1.06 apply (zenon_L472_); trivial. % 0.90/1.06 (* end of lemma zenon_L481_ *) % 0.90/1.06 assert (zenon_L482_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hfc zenon_Hf1 zenon_H4c zenon_H141 zenon_Hb3 zenon_H11a zenon_H1d5 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H11e zenon_Hf zenon_H258 zenon_H24f zenon_H250 zenon_H7a zenon_H78 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H268 zenon_H38 zenon_H67 zenon_Hf2. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_L459_); trivial. % 0.90/1.06 apply (zenon_L475_); trivial. % 0.90/1.06 apply (zenon_L478_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.06 apply (zenon_L479_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_L477_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.06 apply (zenon_L481_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.06 apply (zenon_L18_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.06 apply (zenon_L481_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.06 apply (zenon_L82_); trivial. % 0.90/1.06 apply (zenon_L83_); trivial. % 0.90/1.06 (* end of lemma zenon_L482_ *) % 0.90/1.06 assert (zenon_L483_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (ndr1_0) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H13 zenon_H12 zenon_H122 zenon_Ha4 zenon_H120 zenon_H129. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.06 apply (zenon_L57_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.06 apply (zenon_L416_); trivial. % 0.90/1.06 apply (zenon_L94_); trivial. % 0.90/1.06 (* end of lemma zenon_L483_ *) % 0.90/1.06 assert (zenon_L484_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H89 zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H129 zenon_H122 zenon_Ha4 zenon_H120 zenon_H12 zenon_H86. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H13 | zenon_intro zenon_H8c ]. % 0.90/1.06 apply (zenon_L483_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H87 ]. % 0.90/1.06 apply (zenon_L123_); trivial. % 0.90/1.06 exact (zenon_H86 zenon_H87). % 0.90/1.06 (* end of lemma zenon_L484_ *) % 0.90/1.06 assert (zenon_L485_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2)))))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1e2 zenon_H129 zenon_H122 zenon_H120 zenon_H12 zenon_H7c zenon_H17a zenon_H43. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H1e3 ]. % 0.90/1.06 apply (zenon_L123_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H17b | zenon_intro zenon_H44 ]. % 0.90/1.06 exact (zenon_H17a zenon_H17b). % 0.90/1.06 exact (zenon_H43 zenon_H44). % 0.90/1.06 (* end of lemma zenon_L485_ *) % 0.90/1.06 assert (zenon_L486_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hf1 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H1e2 zenon_H43 zenon_H17a zenon_H21f zenon_Hf2 zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H89 zenon_H86 zenon_H145 zenon_H59 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_Hcb zenon_H103. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.06 apply (zenon_L100_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.06 apply (zenon_L29_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.06 apply (zenon_L12_); trivial. % 0.90/1.06 apply (zenon_L386_); trivial. % 0.90/1.06 apply (zenon_L52_); trivial. % 0.90/1.06 apply (zenon_L78_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.06 apply (zenon_L137_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.90/1.06 apply (zenon_L484_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.90/1.06 apply (zenon_L485_); trivial. % 0.90/1.06 exact (zenon_H1d zenon_H1e). % 0.90/1.06 apply (zenon_L50_); trivial. % 0.90/1.06 (* end of lemma zenon_L486_ *) % 0.90/1.06 assert (zenon_L487_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (ndr1_0) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H12 zenon_H122 zenon_Ha4 zenon_H120 zenon_H129. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.06 apply (zenon_L141_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.06 apply (zenon_L426_); trivial. % 0.90/1.06 apply (zenon_L94_); trivial. % 0.90/1.06 (* end of lemma zenon_L487_ *) % 0.90/1.06 assert (zenon_L488_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H2f zenon_H13d zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H129 zenon_H122 zenon_H120 zenon_H145 zenon_H59 zenon_H1. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.06 apply (zenon_L487_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.06 apply (zenon_L96_); trivial. % 0.90/1.06 apply (zenon_L102_); trivial. % 0.90/1.06 (* end of lemma zenon_L488_ *) % 0.90/1.06 assert (zenon_L489_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hbd zenon_H35 zenon_Hbb zenon_Hb9 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H122 zenon_H120 zenon_H129 zenon_Ha8 zenon_H1e2 zenon_H43 zenon_H17a zenon_H21f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.90/1.06 apply (zenon_L487_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.90/1.06 apply (zenon_L485_); trivial. % 0.90/1.06 exact (zenon_H1d zenon_H1e). % 0.90/1.06 apply (zenon_L50_); trivial. % 0.90/1.06 (* end of lemma zenon_L489_ *) % 0.90/1.06 assert (zenon_L490_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (ndr1_0) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp7)) -> (~(hskp14)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H268 zenon_H60 zenon_H5f zenon_H5e zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H145 zenon_H12 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H59 zenon_H1. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.06 apply (zenon_L453_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.06 apply (zenon_L476_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H6e | zenon_intro zenon_H146 ]. % 0.90/1.06 apply (zenon_L229_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H146); [ zenon_intro zenon_H5a | zenon_intro zenon_H2 ]. % 0.90/1.06 exact (zenon_H59 zenon_H5a). % 0.90/1.06 exact (zenon_H1 zenon_H2). % 0.90/1.06 (* end of lemma zenon_L490_ *) % 0.90/1.06 assert (zenon_L491_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Heb zenon_Hc0 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H122 zenon_H120 zenon_H129 zenon_H1e2 zenon_H43 zenon_H17a zenon_H21f zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H145 zenon_H59 zenon_H16c zenon_H16d zenon_H1e8 zenon_H268. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.06 apply (zenon_L490_); trivial. % 0.90/1.06 apply (zenon_L489_); trivial. % 0.90/1.06 (* end of lemma zenon_L491_ *) % 0.90/1.06 assert (zenon_L492_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H13c zenon_H13d zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H129 zenon_H122 zenon_H120. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.06 apply (zenon_L487_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.06 apply (zenon_L96_); trivial. % 0.90/1.06 apply (zenon_L97_); trivial. % 0.90/1.06 (* end of lemma zenon_L492_ *) % 0.90/1.06 assert (zenon_L493_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H49 zenon_H141 zenon_H13d zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H9 zenon_H11e. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.06 apply (zenon_L92_); trivial. % 0.90/1.06 apply (zenon_L492_); trivial. % 0.90/1.06 (* end of lemma zenon_L493_ *) % 0.90/1.06 assert (zenon_L494_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hee zenon_H4c zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H1d5 zenon_H129 zenon_H120 zenon_H122 zenon_H250 zenon_H24f zenon_H258 zenon_H86 zenon_H89 zenon_H78 zenon_H7a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.06 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_L58_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.06 apply (zenon_L484_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.06 apply (zenon_L18_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.06 apply (zenon_L484_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.06 apply (zenon_L82_); trivial. % 0.90/1.06 apply (zenon_L83_); trivial. % 0.90/1.06 (* end of lemma zenon_L494_ *) % 0.90/1.06 assert (zenon_L495_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_Hf1 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_Ha8 zenon_H7a zenon_H78 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H15b zenon_H14f zenon_H169 zenon_H89 zenon_H86 zenon_H103. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.90/1.06 apply (zenon_L136_); trivial. % 0.90/1.06 apply (zenon_L494_); trivial. % 0.90/1.06 (* end of lemma zenon_L495_ *) % 0.90/1.06 assert (zenon_L496_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H38 zenon_H35 zenon_H78 zenon_H7a zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H21 zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H1f zenon_H67 zenon_H15b zenon_H14f zenon_H169 zenon_H11e zenon_H4c. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.06 apply (zenon_L132_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.06 apply (zenon_L12_); trivial. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.06 apply (zenon_L487_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.06 apply (zenon_L96_); trivial. % 0.90/1.06 apply (zenon_L120_); trivial. % 0.90/1.06 apply (zenon_L493_); trivial. % 0.90/1.06 apply (zenon_L121_); trivial. % 0.90/1.06 (* end of lemma zenon_L496_ *) % 0.90/1.06 assert (zenon_L497_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H103 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H14f zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_Ha8 zenon_Hf2. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.90/1.06 apply (zenon_L104_); trivial. % 0.90/1.06 apply (zenon_L147_); trivial. % 0.90/1.06 (* end of lemma zenon_L497_ *) % 0.90/1.06 assert (zenon_L498_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H104 zenon_Hf1 zenon_H78 zenon_H7a zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H14f zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H103. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.90/1.06 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.90/1.06 apply (zenon_L497_); trivial. % 0.90/1.06 apply (zenon_L118_); trivial. % 0.90/1.06 (* end of lemma zenon_L498_ *) % 0.90/1.06 assert (zenon_L499_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.90/1.06 do 0 intro. intros zenon_H13c zenon_H13d zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H268 zenon_H129 zenon_H122 zenon_H120. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.06 apply (zenon_L473_); trivial. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.06 apply (zenon_L96_); trivial. % 0.90/1.06 apply (zenon_L97_); trivial. % 0.90/1.06 (* end of lemma zenon_L499_ *) % 0.90/1.06 assert (zenon_L500_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.90/1.06 do 0 intro. intros zenon_H166 zenon_H141 zenon_H13d zenon_H129 zenon_H122 zenon_H120 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8 zenon_H1e8 zenon_H268 zenon_H14f. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.90/1.06 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.90/1.06 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.06 apply (zenon_L130_); trivial. % 0.90/1.06 apply (zenon_L499_); trivial. % 0.90/1.06 (* end of lemma zenon_L500_ *) % 0.90/1.07 assert (zenon_L501_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H169 zenon_H141 zenon_H13d zenon_H129 zenon_H122 zenon_H120 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_Ha8 zenon_H1e8 zenon_H268 zenon_H14f zenon_H15b zenon_Hd zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12 zenon_H16d zenon_H16c zenon_H178. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.90/1.07 apply (zenon_L153_); trivial. % 0.90/1.07 apply (zenon_L500_); trivial. % 0.90/1.07 (* end of lemma zenon_L501_ *) % 0.90/1.07 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hb3 zenon_H11a zenon_H38 zenon_H78 zenon_H7a zenon_H178 zenon_H16c zenon_H16d zenon_H15b zenon_H14f zenon_H268 zenon_H1e8 zenon_Ha8 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H120 zenon_H122 zenon_H129 zenon_H13d zenon_H141 zenon_H169 zenon_H11e zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L501_); trivial. % 0.90/1.07 apply (zenon_L458_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.07 apply (zenon_L92_); trivial. % 0.90/1.07 apply (zenon_L499_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L477_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L501_); trivial. % 0.90/1.07 apply (zenon_L85_); trivial. % 0.90/1.07 (* end of lemma zenon_L502_ *) % 0.90/1.07 assert (zenon_L503_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H268 zenon_H129 zenon_H120 zenon_H122 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_Ha4 zenon_H12 zenon_H16c zenon_H16d zenon_H1e8. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.07 apply (zenon_L453_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.07 apply (zenon_L483_); trivial. % 0.90/1.07 apply (zenon_L472_); trivial. % 0.90/1.07 (* end of lemma zenon_L503_ *) % 0.90/1.07 assert (zenon_L504_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (ndr1_0) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H11a zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H122 zenon_H120 zenon_H129 zenon_H268 zenon_Ha9 zenon_H12 zenon_H108 zenon_H10a zenon_H109. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.07 apply (zenon_L503_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.07 apply (zenon_L82_); trivial. % 0.90/1.07 apply (zenon_L83_); trivial. % 0.90/1.07 (* end of lemma zenon_L504_ *) % 0.90/1.07 assert (zenon_L505_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H49 zenon_Hb3 zenon_H11a zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H122 zenon_H120 zenon_H129 zenon_H268 zenon_H108 zenon_H10a zenon_H109. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.07 apply (zenon_L503_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.07 apply (zenon_L18_); trivial. % 0.90/1.07 apply (zenon_L504_); trivial. % 0.90/1.07 (* end of lemma zenon_L505_ *) % 0.90/1.07 assert (zenon_L506_ : ((ndr1_0)/\((c1_1 (a909))/\((~(c0_1 (a909)))/\(~(c3_1 (a909)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> (~(hskp3)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hfc zenon_Hf1 zenon_Hf2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Ha8 zenon_H7a zenon_H78 zenon_H16c zenon_H16d zenon_H1e8 zenon_H268 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H169 zenon_H16a zenon_H14f zenon_H15b zenon_H178 zenon_H103. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_L100_); trivial. % 0.90/1.07 apply (zenon_L478_); trivial. % 0.90/1.07 apply (zenon_L502_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L459_); trivial. % 0.90/1.07 apply (zenon_L505_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L477_); trivial. % 0.90/1.07 apply (zenon_L505_); trivial. % 0.90/1.07 (* end of lemma zenon_L506_ *) % 0.90/1.07 assert (zenon_L507_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H16 zenon_H15 zenon_H14 zenon_Ha4 zenon_H12 zenon_H18f zenon_H190 zenon_H191. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.07 apply (zenon_L453_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.07 apply (zenon_L9_); trivial. % 0.90/1.07 apply (zenon_L163_); trivial. % 0.90/1.07 (* end of lemma zenon_L507_ *) % 0.90/1.07 assert (zenon_L508_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H34 zenon_Hb3 zenon_H191 zenon_H190 zenon_H18f zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H3c zenon_H3b zenon_H3a zenon_Haa zenon_Hab zenon_Hac. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.07 apply (zenon_L507_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.07 apply (zenon_L18_); trivial. % 0.90/1.07 apply (zenon_L45_); trivial. % 0.90/1.07 (* end of lemma zenon_L508_ *) % 0.90/1.07 assert (zenon_L509_ : ((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a937))) -> (c1_1 (a937)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb5 zenon_H38 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H258 zenon_H24f zenon_H250 zenon_H18f zenon_H190 zenon_H191 zenon_H268 zenon_H178 zenon_H1bd zenon_H1bf zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L259_); trivial. % 0.90/1.07 apply (zenon_L508_); trivial. % 0.90/1.07 (* end of lemma zenon_L509_ *) % 0.90/1.07 assert (zenon_L510_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H1a2 zenon_H1da zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H178 zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169 zenon_H1 zenon_H3 zenon_H5 zenon_H1ab zenon_H3a zenon_H3b zenon_H3c zenon_Hb9 zenon_H1db zenon_H1bc zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.07 apply (zenon_L189_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.90/1.07 apply (zenon_L3_); trivial. % 0.90/1.07 apply (zenon_L509_); trivial. % 0.90/1.07 (* end of lemma zenon_L510_ *) % 0.90/1.07 assert (zenon_L511_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L259_); trivial. % 0.90/1.07 apply (zenon_L51_); trivial. % 0.90/1.07 (* end of lemma zenon_L511_ *) % 0.90/1.07 assert (zenon_L512_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H35 zenon_Hbb zenon_H21 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H5 zenon_H3 zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_H38 zenon_Hb8 zenon_H1da zenon_H1a2. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.07 apply (zenon_L510_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.07 apply (zenon_L189_); trivial. % 0.90/1.07 apply (zenon_L511_); trivial. % 0.90/1.07 (* end of lemma zenon_L512_ *) % 0.90/1.07 assert (zenon_L513_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H1a2 zenon_H1da zenon_Hb8 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H178 zenon_H1f zenon_H67 zenon_H15b zenon_H169 zenon_H3 zenon_H5 zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H18c zenon_H21 zenon_Hbb zenon_H35 zenon_Hc0 zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L193_); trivial. % 0.90/1.07 apply (zenon_L512_); trivial. % 0.90/1.07 apply (zenon_L171_); trivial. % 0.90/1.07 (* end of lemma zenon_L513_ *) % 0.90/1.07 assert (zenon_L514_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha4 zenon_H12 zenon_H18f zenon_H190 zenon_H191. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.90/1.07 apply (zenon_L453_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.90/1.07 apply (zenon_L57_); trivial. % 0.90/1.07 apply (zenon_L163_); trivial. % 0.90/1.07 (* end of lemma zenon_L514_ *) % 0.90/1.07 assert (zenon_L515_ : ((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb5 zenon_Hb3 zenon_H191 zenon_H190 zenon_H18f zenon_Hcd zenon_Hce zenon_Hcf zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H3c zenon_H3b zenon_H3a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.07 apply (zenon_L514_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.07 apply (zenon_L18_); trivial. % 0.90/1.07 apply (zenon_L45_); trivial. % 0.90/1.07 (* end of lemma zenon_L515_ *) % 0.90/1.07 assert (zenon_L516_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H19f zenon_Hb8 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H266 zenon_H1 zenon_H3 zenon_H5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.90/1.07 apply (zenon_L3_); trivial. % 0.90/1.07 apply (zenon_L515_); trivial. % 0.90/1.07 (* end of lemma zenon_L516_ *) % 0.90/1.07 assert (zenon_L517_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H3c zenon_H3b zenon_H3a zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H266 zenon_H1 zenon_H3 zenon_H5 zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_L516_); trivial. % 0.90/1.07 (* end of lemma zenon_L517_ *) % 0.90/1.07 assert (zenon_L518_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))) -> (c3_1 (a954)) -> (c1_1 (a954)) -> (~(c0_1 (a954))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H21f zenon_H18f zenon_H190 zenon_H191 zenon_Ha9 zenon_H7f zenon_H7e zenon_H7d zenon_H12 zenon_H1d. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.90/1.07 apply (zenon_L238_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.90/1.07 apply (zenon_L35_); trivial. % 0.90/1.07 exact (zenon_H1d zenon_H1e). % 0.90/1.07 (* end of lemma zenon_L518_ *) % 0.90/1.07 assert (zenon_L519_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H88 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H266 zenon_H191 zenon_H190 zenon_H18f zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H3a zenon_H3b zenon_H3c zenon_H21f zenon_Hb3. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.07 apply (zenon_L514_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.07 apply (zenon_L18_); trivial. % 0.90/1.07 apply (zenon_L518_); trivial. % 0.90/1.07 apply (zenon_L50_); trivial. % 0.90/1.07 (* end of lemma zenon_L519_ *) % 0.90/1.07 assert (zenon_L520_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H19f zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H3a zenon_H3b zenon_H3c zenon_H21f zenon_Hb3 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.90/1.07 apply (zenon_L200_); trivial. % 0.90/1.07 apply (zenon_L519_); trivial. % 0.90/1.07 (* end of lemma zenon_L520_ *) % 0.90/1.07 assert (zenon_L521_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hbd zenon_H1a2 zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H3a zenon_H3b zenon_H3c zenon_H21f zenon_Hb3 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_L520_); trivial. % 0.90/1.07 (* end of lemma zenon_L521_ *) % 0.90/1.07 assert (zenon_L522_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H21f zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H5 zenon_H3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_Hb8 zenon_H1a2. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.07 apply (zenon_L517_); trivial. % 0.90/1.07 apply (zenon_L521_); trivial. % 0.90/1.07 (* end of lemma zenon_L522_ *) % 0.90/1.07 assert (zenon_L523_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H21f zenon_H5 zenon_H3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_Hb8 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_Hf zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H86 zenon_H89 zenon_H8d zenon_H38 zenon_H1a2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L203_); trivial. % 0.90/1.07 apply (zenon_L522_); trivial. % 0.90/1.07 (* end of lemma zenon_L523_ *) % 0.90/1.07 assert (zenon_L524_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp9)) -> False). % 0.90/1.07 do 0 intro. intros zenon_Heb zenon_H1a5 zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H183 zenon_H182 zenon_H181 zenon_H1a3. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H13 | zenon_intro zenon_H1a6 ]. % 0.90/1.07 apply (zenon_L480_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H180 | zenon_intro zenon_H1a4 ]. % 0.90/1.07 apply (zenon_L160_); trivial. % 0.90/1.07 exact (zenon_H1a3 zenon_H1a4). % 0.90/1.07 (* end of lemma zenon_L524_ *) % 0.90/1.07 assert (zenon_L525_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H1a5 zenon_H1a3 zenon_H1d5 zenon_H1a2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_Hb8 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H3 zenon_H5 zenon_H21f zenon_Hb9 zenon_Hbb zenon_H35 zenon_Hc0 zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_L523_); trivial. % 0.90/1.07 apply (zenon_L524_); trivial. % 0.90/1.07 (* end of lemma zenon_L525_ *) % 0.90/1.07 assert (zenon_L526_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (~(c2_1 (a937))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a900)) -> (c3_1 (a900)) -> (c1_1 (a900)) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(hskp28)) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (ndr1_0) -> False). % 0.90/1.07 do 0 intro. intros zenon_H13d zenon_H191 zenon_H190 zenon_H18f zenon_H14 zenon_H15 zenon_H16 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_Ha8 zenon_H1bf zenon_H1be zenon_H1bd zenon_H1d5 zenon_H25 zenon_H26 zenon_H24 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H14f zenon_H11c zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H12. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.07 apply (zenon_L507_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.07 apply (zenon_L270_); trivial. % 0.90/1.07 apply (zenon_L271_); trivial. % 0.90/1.07 (* end of lemma zenon_L526_ *) % 0.90/1.07 assert (zenon_L527_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (c3_1 (a916)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (c1_1 (a916)) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H209 zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H135 zenon_H5d zenon_H134 zenon_H12 zenon_H205. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H9e | zenon_intro zenon_H20a ]. % 0.90/1.07 apply (zenon_L181_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H20a); [ zenon_intro zenon_H23 | zenon_intro zenon_H206 ]. % 0.90/1.07 apply (zenon_L112_); trivial. % 0.90/1.07 exact (zenon_H205 zenon_H206). % 0.90/1.07 (* end of lemma zenon_L527_ *) % 0.90/1.07 assert (zenon_L528_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a916)) -> (c3_1 (a916)) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.90/1.07 do 0 intro. intros zenon_Ha8 zenon_H134 zenon_H135 zenon_H205 zenon_H209 zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.90/1.07 apply (zenon_L181_); trivial. % 0.90/1.07 apply (zenon_L527_); trivial. % 0.90/1.07 (* end of lemma zenon_L528_ *) % 0.90/1.07 assert (zenon_L529_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(hskp16)) -> (~(hskp6)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H2f zenon_H141 zenon_H209 zenon_H205 zenon_H57 zenon_H1 zenon_H19d zenon_H268 zenon_H191 zenon_H190 zenon_H18f zenon_H16 zenon_H15 zenon_H14 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_H1bd zenon_H1be zenon_H1bf zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.07 apply (zenon_L526_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.07 apply (zenon_L164_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.07 apply (zenon_L528_); trivial. % 0.90/1.07 apply (zenon_L97_); trivial. % 0.90/1.07 (* end of lemma zenon_L529_ *) % 0.90/1.07 assert (zenon_L530_ : (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> (ndr1_0) -> (~(c3_1 (a926))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (c2_1 (a926)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H107 zenon_H12 zenon_H20b zenon_H39 zenon_H20c. % 0.90/1.07 generalize (zenon_H107 (a926)). zenon_intro zenon_H212. % 0.90/1.07 apply (zenon_imply_s _ _ zenon_H212); [ zenon_intro zenon_H11 | zenon_intro zenon_H213 ]. % 0.90/1.07 exact (zenon_H11 zenon_H12). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H215 | zenon_intro zenon_H214 ]. % 0.90/1.07 exact (zenon_H20b zenon_H215). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H217 | zenon_intro zenon_H216 ]. % 0.90/1.07 generalize (zenon_H39 (a926)). zenon_intro zenon_H26a. % 0.90/1.07 apply (zenon_imply_s _ _ zenon_H26a); [ zenon_intro zenon_H11 | zenon_intro zenon_H26b ]. % 0.90/1.07 exact (zenon_H11 zenon_H12). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H211 | zenon_intro zenon_H26c ]. % 0.90/1.07 exact (zenon_H217 zenon_H211). % 0.90/1.07 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H215 | zenon_intro zenon_H216 ]. % 0.90/1.07 exact (zenon_H20b zenon_H215). % 0.90/1.07 exact (zenon_H216 zenon_H20c). % 0.90/1.07 exact (zenon_H216 zenon_H20c). % 0.90/1.07 (* end of lemma zenon_L530_ *) % 0.90/1.07 assert (zenon_L531_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a926))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H11a zenon_H191 zenon_H190 zenon_H18f zenon_H14 zenon_H15 zenon_H16 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H39 zenon_H12 zenon_H20b zenon_H20d zenon_H20c. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.07 apply (zenon_L507_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.07 apply (zenon_L530_); trivial. % 0.90/1.07 apply (zenon_L317_); trivial. % 0.90/1.07 (* end of lemma zenon_L531_ *) % 0.90/1.07 assert (zenon_L532_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp14)) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> (~(c3_1 (a926))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H34 zenon_Hb3 zenon_H1 zenon_H57 zenon_H19d zenon_H20c zenon_H20d zenon_H20b zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H18f zenon_H190 zenon_H191 zenon_H11a zenon_Haa zenon_Hab zenon_Hac. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.07 apply (zenon_L164_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.07 apply (zenon_L531_); trivial. % 0.90/1.07 apply (zenon_L45_); trivial. % 0.90/1.07 (* end of lemma zenon_L532_ *) % 0.90/1.07 assert (zenon_L533_ : ((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c3_1 (a926))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(hskp6)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hb5 zenon_H38 zenon_Hb3 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H20b zenon_H20c zenon_H20d zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H57 zenon_H1 zenon_H19d zenon_H9 zenon_Hb zenon_Hf. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L7_); trivial. % 0.90/1.07 apply (zenon_L532_); trivial. % 0.90/1.07 (* end of lemma zenon_L533_ *) % 0.90/1.07 assert (zenon_L534_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c3_1 (a926))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H19f zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H20b zenon_H20c zenon_H20d zenon_H11a zenon_H57 zenon_H19d zenon_H9 zenon_Hb zenon_Hf zenon_H1 zenon_H3 zenon_H5. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.90/1.07 apply (zenon_L3_); trivial. % 0.90/1.07 apply (zenon_L533_); trivial. % 0.90/1.07 (* end of lemma zenon_L534_ *) % 0.90/1.07 assert (zenon_L535_ : ((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H21c zenon_H1a2 zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H57 zenon_H19d zenon_Hb zenon_Hf zenon_H1 zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_L534_); trivial. % 0.90/1.07 (* end of lemma zenon_L535_ *) % 0.90/1.07 assert (zenon_L536_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H5b zenon_H59 zenon_H57 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H5 zenon_H3 zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_H38 zenon_Hb8 zenon_H1da zenon_H1a2. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.07 apply (zenon_L510_); trivial. % 0.90/1.07 apply (zenon_L138_); trivial. % 0.90/1.07 (* end of lemma zenon_L536_ *) % 0.90/1.07 assert (zenon_L537_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Hc0 zenon_H5b zenon_H1a2 zenon_H1da zenon_H38 zenon_H35 zenon_H141 zenon_H209 zenon_H57 zenon_H19d zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_H15b zenon_H169 zenon_H1ab zenon_H59 zenon_H1b7 zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H5 zenon_H3 zenon_Hf zenon_H11a zenon_Hb3 zenon_Hb8 zenon_H21b zenon_Hb9 zenon_H1db zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.07 apply (zenon_L180_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L259_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.07 apply (zenon_L12_); trivial. % 0.90/1.07 apply (zenon_L529_); trivial. % 0.90/1.07 apply (zenon_L535_); trivial. % 0.90/1.07 apply (zenon_L138_); trivial. % 0.90/1.07 apply (zenon_L536_); trivial. % 0.90/1.07 apply (zenon_L190_); trivial. % 0.90/1.07 (* end of lemma zenon_L537_ *) % 0.90/1.07 assert (zenon_L538_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H1a2 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_Hb8 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H3 zenon_H5 zenon_H21f zenon_Hb9 zenon_Hbb zenon_H35 zenon_Hc0 zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_L523_); trivial. % 0.90/1.07 apply (zenon_L208_); trivial. % 0.90/1.07 (* end of lemma zenon_L538_ *) % 0.90/1.07 assert (zenon_L539_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp9)) -> False). % 0.90/1.07 do 0 intro. intros zenon_Heb zenon_H1a5 zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H183 zenon_H182 zenon_H181 zenon_H1a3. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H13 | zenon_intro zenon_H1a6 ]. % 0.90/1.07 apply (zenon_L476_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H180 | zenon_intro zenon_H1a4 ]. % 0.90/1.07 apply (zenon_L160_); trivial. % 0.90/1.07 exact (zenon_H1a3 zenon_H1a4). % 0.90/1.07 (* end of lemma zenon_L539_ *) % 0.90/1.07 assert (zenon_L540_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> (~(hskp6)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H5b zenon_H59 zenon_H57 zenon_H18c zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H5 zenon_H3 zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_Hb8 zenon_H1da zenon_H1a2 zenon_Hf zenon_H9 zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L193_); trivial. % 0.90/1.07 apply (zenon_L536_); trivial. % 0.90/1.07 (* end of lemma zenon_L540_ *) % 0.90/1.07 assert (zenon_L541_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp6)) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H1a2 zenon_H1da zenon_Hb8 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H178 zenon_H1f zenon_H67 zenon_H15b zenon_H169 zenon_H3 zenon_H5 zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H18c zenon_H57 zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_L540_); trivial. % 0.90/1.07 apply (zenon_L539_); trivial. % 0.90/1.07 (* end of lemma zenon_L541_ *) % 0.90/1.07 assert (zenon_L542_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H3 zenon_H5 zenon_H18c zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H21f zenon_Hb9 zenon_Hbb zenon_H35 zenon_H8d zenon_Hc0 zenon_H4c. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L193_); trivial. % 0.90/1.07 apply (zenon_L522_); trivial. % 0.90/1.07 apply (zenon_L539_); trivial. % 0.90/1.07 (* end of lemma zenon_L542_ *) % 0.90/1.07 assert (zenon_L543_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp7)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hf2 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H1f zenon_H21 zenon_Hf zenon_H1a2 zenon_Hb8 zenon_Hb3 zenon_H57 zenon_H19d zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H59 zenon_H5b zenon_Hc0 zenon_H4c. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_L168_); trivial. % 0.90/1.07 apply (zenon_L233_); trivial. % 0.90/1.07 (* end of lemma zenon_L543_ *) % 0.90/1.07 assert (zenon_L544_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H103 zenon_H1a2 zenon_H8d zenon_H89 zenon_H86 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H1da zenon_Hb8 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H178 zenon_H67 zenon_H15b zenon_H169 zenon_H3 zenon_H5 zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_Hbb zenon_Hc0 zenon_H4c zenon_H141 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H21 zenon_H1f zenon_H30 zenon_H35 zenon_H38 zenon_Hf2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.90/1.07 apply (zenon_L198_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.07 apply (zenon_L203_); trivial. % 0.90/1.07 apply (zenon_L512_); trivial. % 0.90/1.07 apply (zenon_L74_); trivial. % 0.90/1.07 (* end of lemma zenon_L544_ *) % 0.90/1.07 assert (zenon_L545_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp6)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H21b zenon_Hb8 zenon_Hb3 zenon_H11a zenon_H57 zenon_H19d zenon_Hb zenon_Hf zenon_H1 zenon_H3 zenon_H5 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1bc zenon_H141 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha8 zenon_H207 zenon_H1ab zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H21 zenon_H13d zenon_H14f zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H35 zenon_H38 zenon_H1da zenon_H1a2. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.07 apply (zenon_L312_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.07 apply (zenon_L259_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.07 apply (zenon_L12_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.07 apply (zenon_L526_); trivial. % 0.90/1.07 apply (zenon_L310_); trivial. % 0.90/1.07 apply (zenon_L535_); trivial. % 0.90/1.07 (* end of lemma zenon_L545_ *) % 0.90/1.07 assert (zenon_L546_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y)))))) -> (ndr1_0) -> (~(c3_1 (a926))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H11a zenon_H191 zenon_H190 zenon_H18f zenon_Hcd zenon_Hce zenon_Hcf zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H39 zenon_H12 zenon_H20b zenon_H20d zenon_H20c. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.07 apply (zenon_L514_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.07 apply (zenon_L530_); trivial. % 0.90/1.07 apply (zenon_L317_); trivial. % 0.90/1.07 (* end of lemma zenon_L546_ *) % 0.90/1.07 assert (zenon_L547_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> (~(c3_1 (a926))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> False). % 0.90/1.07 do 0 intro. intros zenon_H19f zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H20d zenon_H20c zenon_H20b zenon_H21f zenon_Hb3 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.90/1.07 apply (zenon_L200_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.07 apply (zenon_L514_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.07 apply (zenon_L546_); trivial. % 0.90/1.07 apply (zenon_L518_); trivial. % 0.90/1.07 apply (zenon_L50_); trivial. % 0.90/1.07 (* end of lemma zenon_L547_ *) % 0.90/1.07 assert (zenon_L548_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.90/1.07 do 0 intro. intros zenon_Hbd zenon_H21b zenon_H35 zenon_Hbb zenon_Hb9 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H21f zenon_Hb3 zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H1bc zenon_H141 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_Ha8 zenon_H207 zenon_H1ab zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H8d zenon_H1da zenon_H1a2. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.90/1.07 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.90/1.07 apply (zenon_L315_); trivial. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.07 apply (zenon_L162_); trivial. % 0.90/1.07 apply (zenon_L547_); trivial. % 0.90/1.07 (* end of lemma zenon_L548_ *) % 0.90/1.07 assert (zenon_L549_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (~(hskp16)) -> False). % 0.90/1.07 do 0 intro. intros zenon_H13c zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H205. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.07 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.90/1.07 apply (zenon_L57_); trivial. % 0.90/1.07 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.90/1.07 apply (zenon_L183_); trivial. % 0.90/1.07 apply (zenon_L309_); trivial. % 0.90/1.07 (* end of lemma zenon_L549_ *) % 0.90/1.07 assert (zenon_L550_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> (~(c3_1 (a926))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c1_1 (a939))) -> (~(c3_1 (a939))) -> (c0_1 (a939)) -> False). % 0.90/1.08 do 0 intro. intros zenon_H34 zenon_Hb3 zenon_H268 zenon_H20c zenon_H20d zenon_H20b zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_H18f zenon_H190 zenon_H191 zenon_H11a zenon_Haa zenon_Hab zenon_Hac. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.90/1.08 apply (zenon_L507_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.90/1.08 apply (zenon_L546_); trivial. % 0.90/1.08 apply (zenon_L45_); trivial. % 0.90/1.08 (* end of lemma zenon_L550_ *) % 0.90/1.08 assert (zenon_L551_ : ((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a926))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hb5 zenon_H38 zenon_Hb3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H20b zenon_H20c zenon_H20d zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H18f zenon_H190 zenon_H191 zenon_H268 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.08 apply (zenon_L196_); trivial. % 0.90/1.08 apply (zenon_L550_); trivial. % 0.90/1.08 (* end of lemma zenon_L551_ *) % 0.90/1.08 assert (zenon_L552_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a926))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H19f zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H20b zenon_H20c zenon_H20d zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178 zenon_H1 zenon_H3 zenon_H5. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.90/1.08 apply (zenon_L3_); trivial. % 0.90/1.08 apply (zenon_L551_); trivial. % 0.90/1.08 (* end of lemma zenon_L552_ *) % 0.90/1.08 assert (zenon_L553_ : ((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H21c zenon_H1a2 zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178 zenon_H1 zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.08 apply (zenon_L162_); trivial. % 0.90/1.08 apply (zenon_L552_); trivial. % 0.90/1.08 (* end of lemma zenon_L553_ *) % 0.90/1.08 assert (zenon_L554_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp14)) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H21b zenon_H1a2 zenon_Hb8 zenon_H38 zenon_Hb3 zenon_H266 zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H178 zenon_H1 zenon_H3 zenon_H5 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H12 zenon_H14f zenon_Hcd zenon_Hce zenon_Hcf zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H141. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.08 apply (zenon_L210_); trivial. % 0.90/1.08 apply (zenon_L549_); trivial. % 0.90/1.08 apply (zenon_L553_); trivial. % 0.90/1.08 (* end of lemma zenon_L554_ *) % 0.90/1.08 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp23)) -> (~(hskp1)) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H13c zenon_H13d zenon_H69 zenon_H17a zenon_H18f zenon_H190 zenon_H191 zenon_H1e0 zenon_H1bd zenon_H1be zenon_H1bf zenon_H209 zenon_H205 zenon_Ha8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.08 apply (zenon_L199_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.08 apply (zenon_L528_); trivial. % 0.90/1.08 apply (zenon_L97_); trivial. % 0.90/1.08 (* end of lemma zenon_L555_ *) % 0.90/1.08 assert (zenon_L556_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(hskp1)) -> (~(hskp23)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H141 zenon_H13d zenon_H1bd zenon_H1be zenon_H1bf zenon_H209 zenon_H205 zenon_Ha8 zenon_H18f zenon_H190 zenon_H191 zenon_H17a zenon_H69 zenon_H1e0 zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.08 apply (zenon_L92_); trivial. % 0.90/1.08 apply (zenon_L555_); trivial. % 0.90/1.08 (* end of lemma zenon_L556_ *) % 0.90/1.08 assert (zenon_L557_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a937))) -> (c1_1 (a937)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H88 zenon_H169 zenon_H178 zenon_H1bd zenon_H1bf zenon_H1f zenon_H67 zenon_H30 zenon_H9 zenon_H2d zenon_Hd zenon_H15b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.90/1.08 apply (zenon_L277_); trivial. % 0.90/1.08 apply (zenon_L258_); trivial. % 0.90/1.08 (* end of lemma zenon_L557_ *) % 0.90/1.08 assert (zenon_L558_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (~(c2_1 (a937))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H8d zenon_H169 zenon_H178 zenon_H1f zenon_H67 zenon_H30 zenon_H2d zenon_Hd zenon_H15b zenon_H11e zenon_H9 zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H1e0 zenon_H17a zenon_H191 zenon_H190 zenon_H18f zenon_Ha8 zenon_H205 zenon_H209 zenon_H1bf zenon_H1be zenon_H1bd zenon_H13d zenon_H141. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.90/1.08 apply (zenon_L556_); trivial. % 0.90/1.08 apply (zenon_L557_); trivial. % 0.90/1.08 (* end of lemma zenon_L558_ *) % 0.90/1.08 assert (zenon_L559_ : ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.90/1.08 do 0 intro. intros zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H18e zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.90/1.08 apply (zenon_L181_); trivial. % 0.90/1.08 apply (zenon_L223_); trivial. % 0.90/1.08 (* end of lemma zenon_L559_ *) % 0.90/1.08 assert (zenon_L560_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> (~(c3_1 (a926))) -> (forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.90/1.08 do 0 intro. intros zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_H20d zenon_H20c zenon_H20b zenon_H107 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.90/1.08 apply (zenon_L453_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.90/1.08 apply (zenon_L316_); trivial. % 0.90/1.08 apply (zenon_L559_); trivial. % 0.90/1.08 (* end of lemma zenon_L560_ *) % 0.90/1.08 assert (zenon_L561_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> (~(c3_1 (a926))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(hskp1)) -> (~(hskp23)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H141 zenon_H13d zenon_H266 zenon_H1bd zenon_H1be zenon_H1bf zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H20d zenon_H20c zenon_H20b zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H17a zenon_H69 zenon_H1e0 zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.08 apply (zenon_L92_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.08 apply (zenon_L199_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H11b ]. % 0.90/1.08 apply (zenon_L199_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H11b); [ zenon_intro zenon_H107 | zenon_intro zenon_H111 ]. % 0.90/1.08 apply (zenon_L560_); trivial. % 0.90/1.08 apply (zenon_L317_); trivial. % 0.90/1.08 apply (zenon_L97_); trivial. % 0.90/1.08 (* end of lemma zenon_L561_ *) % 0.90/1.08 assert (zenon_L562_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a926)) -> (c2_1 (a926)) -> (~(c3_1 (a926))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H35 zenon_H21 zenon_H141 zenon_H13d zenon_H266 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H20d zenon_H20c zenon_H20b zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H17a zenon_H1e0 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H15b zenon_H2d zenon_H30 zenon_H67 zenon_H1f zenon_H178 zenon_H169 zenon_H8d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.90/1.08 apply (zenon_L561_); trivial. % 0.90/1.08 apply (zenon_L557_); trivial. % 0.90/1.08 apply (zenon_L16_); trivial. % 0.90/1.08 (* end of lemma zenon_L562_ *) % 0.90/1.08 assert (zenon_L563_ : ((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H21c zenon_H1a2 zenon_H1da zenon_H38 zenon_H35 zenon_H21 zenon_H141 zenon_H13d zenon_H266 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H17a zenon_H1e0 zenon_H11e zenon_H15b zenon_H2d zenon_H30 zenon_H67 zenon_H1f zenon_H178 zenon_H169 zenon_H8d zenon_H1ab zenon_H3a zenon_H3b zenon_H3c zenon_Hb9 zenon_H1db zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.08 apply (zenon_L162_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.08 apply (zenon_L189_); trivial. % 0.90/1.08 apply (zenon_L562_); trivial. % 0.90/1.08 (* end of lemma zenon_L563_ *) % 0.90/1.08 assert (zenon_L564_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H100 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H15b zenon_H169. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.08 apply (zenon_L360_); trivial. % 0.90/1.08 apply (zenon_L170_); trivial. % 0.90/1.08 (* end of lemma zenon_L564_ *) % 0.90/1.08 assert (zenon_L565_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.90/1.08 do 0 intro. intros zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.90/1.08 apply (zenon_L453_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.90/1.08 apply (zenon_L57_); trivial. % 0.90/1.08 apply (zenon_L559_); trivial. % 0.90/1.08 (* end of lemma zenon_L565_ *) % 0.90/1.08 assert (zenon_L566_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H13c zenon_H13d zenon_H191 zenon_H190 zenon_H18f zenon_H1bd zenon_H1be zenon_H1bf zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_Hcd zenon_Hce zenon_Hcf zenon_H258 zenon_H24f zenon_H250 zenon_H266. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.08 apply (zenon_L514_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.08 apply (zenon_L565_); trivial. % 0.90/1.08 apply (zenon_L97_); trivial. % 0.90/1.08 (* end of lemma zenon_L566_ *) % 0.90/1.08 assert (zenon_L567_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1d7 zenon_H141 zenon_H13d zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H18f zenon_H190 zenon_H191 zenon_H266 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.08 apply (zenon_L92_); trivial. % 0.90/1.08 apply (zenon_L566_); trivial. % 0.90/1.08 (* end of lemma zenon_L567_ *) % 0.90/1.08 assert (zenon_L568_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H49 zenon_H1a2 zenon_H1da zenon_H141 zenon_H13d zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H266 zenon_H11e zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.08 apply (zenon_L162_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.08 apply (zenon_L189_); trivial. % 0.90/1.08 apply (zenon_L567_); trivial. % 0.90/1.08 (* end of lemma zenon_L568_ *) % 0.90/1.08 assert (zenon_L569_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H1d5 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H18c zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H11e zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H13d zenon_H141 zenon_H1da zenon_H1a2 zenon_H4c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.90/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.08 apply (zenon_L193_); trivial. % 0.90/1.08 apply (zenon_L568_); trivial. % 0.90/1.08 apply (zenon_L524_); trivial. % 0.90/1.08 (* end of lemma zenon_L569_ *) % 0.90/1.08 assert (zenon_L570_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_Hf1 zenon_H1d5 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H1a2 zenon_H1da zenon_H141 zenon_H13d zenon_H209 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_H11e zenon_H15b zenon_H30 zenon_H67 zenon_H178 zenon_H169 zenon_H8d zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H18c zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H1e8 zenon_H16d zenon_H16c zenon_H266 zenon_H21 zenon_H35 zenon_H21b zenon_H4c zenon_H103. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.90/1.08 apply (zenon_L193_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.08 apply (zenon_L162_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.08 apply (zenon_L189_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.08 apply (zenon_L558_); trivial. % 0.90/1.08 apply (zenon_L170_); trivial. % 0.90/1.08 apply (zenon_L563_); trivial. % 0.90/1.08 apply (zenon_L171_); trivial. % 0.90/1.08 apply (zenon_L564_); trivial. % 0.90/1.08 apply (zenon_L569_); trivial. % 0.90/1.08 (* end of lemma zenon_L570_ *) % 0.90/1.08 assert (zenon_L571_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> False). % 0.90/1.08 do 0 intro. intros zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H16 zenon_H15 zenon_H14 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1bf zenon_H1be zenon_H12e zenon_H1bd zenon_H12. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.90/1.08 apply (zenon_L453_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.90/1.08 apply (zenon_L9_); trivial. % 0.90/1.08 apply (zenon_L559_); trivial. % 0.90/1.08 (* end of lemma zenon_L571_ *) % 0.90/1.08 assert (zenon_L572_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H13c zenon_H13d zenon_H191 zenon_H190 zenon_H18f zenon_H1bd zenon_H1be zenon_H1bf zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H14 zenon_H15 zenon_H16 zenon_H258 zenon_H24f zenon_H250 zenon_H268. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.90/1.08 apply (zenon_L507_); trivial. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.90/1.08 apply (zenon_L571_); trivial. % 0.90/1.08 apply (zenon_L97_); trivial. % 0.90/1.08 (* end of lemma zenon_L572_ *) % 0.90/1.08 assert (zenon_L573_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H35 zenon_H141 zenon_H1e8 zenon_H16d zenon_H16c zenon_H268 zenon_H191 zenon_H190 zenon_H18f zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.90/1.08 apply (zenon_L259_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.90/1.08 apply (zenon_L12_); trivial. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.90/1.08 apply (zenon_L526_); trivial. % 0.90/1.08 apply (zenon_L572_); trivial. % 0.90/1.08 (* end of lemma zenon_L573_ *) % 0.90/1.08 assert (zenon_L574_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H19f zenon_H1da zenon_H38 zenon_H35 zenon_H141 zenon_H1e8 zenon_H16d zenon_H16c zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169 zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_H3a zenon_H3b zenon_H3c zenon_Hb9 zenon_H1db zenon_H1bc. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.90/1.08 apply (zenon_L189_); trivial. % 0.90/1.08 apply (zenon_L573_); trivial. % 0.90/1.08 (* end of lemma zenon_L574_ *) % 0.90/1.08 assert (zenon_L575_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.90/1.08 do 0 intro. intros zenon_H49 zenon_H1a2 zenon_H1da zenon_H38 zenon_H35 zenon_H141 zenon_H1e8 zenon_H16d zenon_H16c zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169 zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.90/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.90/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.90/1.08 apply (zenon_L162_); trivial. % 0.90/1.08 apply (zenon_L574_); trivial. % 0.90/1.08 (* end of lemma zenon_L575_ *) % 0.90/1.08 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_H1a2 zenon_H1da zenon_H38 zenon_H35 zenon_H141 zenon_H1e8 zenon_H16d zenon_H16c zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_H15b zenon_H169 zenon_H1ab zenon_H59 zenon_H1b7 zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H1db zenon_Hb9 zenon_H4c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.08 apply (zenon_L162_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.08 apply (zenon_L180_); trivial. % 0.92/1.08 apply (zenon_L573_); trivial. % 0.92/1.08 apply (zenon_L575_); trivial. % 0.92/1.08 apply (zenon_L190_); trivial. % 0.92/1.08 (* end of lemma zenon_L576_ *) % 0.92/1.08 assert (zenon_L577_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H34 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H16c zenon_H16d zenon_H1e8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.92/1.08 apply (zenon_L453_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_L224_); trivial. % 0.92/1.08 (* end of lemma zenon_L577_ *) % 0.92/1.08 assert (zenon_L578_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H38 zenon_H268 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H9 zenon_Hb zenon_Hf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.08 apply (zenon_L7_); trivial. % 0.92/1.08 apply (zenon_L577_); trivial. % 0.92/1.08 (* end of lemma zenon_L578_ *) % 0.92/1.08 assert (zenon_L579_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H4c zenon_H1a2 zenon_H1da zenon_H141 zenon_H13d zenon_Ha8 zenon_H266 zenon_H11e zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_Hf zenon_H9 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H268 zenon_H38. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.08 apply (zenon_L578_); trivial. % 0.92/1.08 apply (zenon_L568_); trivial. % 0.92/1.08 (* end of lemma zenon_L579_ *) % 0.92/1.08 assert (zenon_L580_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H34 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H16c zenon_H16d zenon_H1e8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.92/1.08 apply (zenon_L453_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.92/1.08 apply (zenon_L9_); trivial. % 0.92/1.08 apply (zenon_L230_); trivial. % 0.92/1.08 (* end of lemma zenon_L580_ *) % 0.92/1.08 assert (zenon_L581_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H38 zenon_H268 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H9 zenon_Hb zenon_Hf. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.08 apply (zenon_L7_); trivial. % 0.92/1.08 apply (zenon_L580_); trivial. % 0.92/1.08 (* end of lemma zenon_L581_ *) % 0.92/1.08 assert (zenon_L582_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1a2 zenon_H1da zenon_H8d zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H11e zenon_H1e0 zenon_H17a zenon_Ha8 zenon_H205 zenon_H209 zenon_H13d zenon_H141 zenon_H1ab zenon_H3a zenon_H3b zenon_H3c zenon_Hb9 zenon_H1db zenon_H1bc zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.08 apply (zenon_L162_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.08 apply (zenon_L189_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.08 apply (zenon_L556_); trivial. % 0.92/1.08 apply (zenon_L314_); trivial. % 0.92/1.08 (* end of lemma zenon_L582_ *) % 0.92/1.08 assert (zenon_L583_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H38 zenon_H268 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H11e zenon_H266 zenon_Ha8 zenon_H13d zenon_H141 zenon_H1da zenon_H1a2 zenon_H4c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.08 apply (zenon_L579_); trivial. % 0.92/1.08 apply (zenon_L233_); trivial. % 0.92/1.08 (* end of lemma zenon_L583_ *) % 0.92/1.08 assert (zenon_L584_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a907)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf1 zenon_H18c zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H266 zenon_H1e8 zenon_H13d zenon_H1da zenon_H1a2 zenon_Hf2 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H169 zenon_H15b zenon_H67 zenon_H16d zenon_H16c zenon_H178 zenon_H103. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.08 apply (zenon_L194_); trivial. % 0.92/1.08 apply (zenon_L539_); trivial. % 0.92/1.08 apply (zenon_L564_); trivial. % 0.92/1.08 apply (zenon_L569_); trivial. % 0.92/1.08 (* end of lemma zenon_L584_ *) % 0.92/1.08 assert (zenon_L585_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H4c zenon_H141 zenon_H2d zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H9 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H268 zenon_H38. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.08 apply (zenon_L581_); trivial. % 0.92/1.08 apply (zenon_L115_); trivial. % 0.92/1.08 (* end of lemma zenon_L585_ *) % 0.92/1.08 assert (zenon_L586_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H268 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_H141 zenon_H4c. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.08 apply (zenon_L585_); trivial. % 0.92/1.08 apply (zenon_L74_); trivial. % 0.92/1.08 (* end of lemma zenon_L586_ *) % 0.92/1.08 assert (zenon_L587_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1dd zenon_H103 zenon_H178 zenon_H4c zenon_H141 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H268 zenon_H38 zenon_Hf2. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.08 apply (zenon_L586_); trivial. % 0.92/1.08 apply (zenon_L461_); trivial. % 0.92/1.08 (* end of lemma zenon_L587_ *) % 0.92/1.08 assert (zenon_L588_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H19f zenon_Hb3 zenon_Hcd zenon_Hce zenon_Hcf zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H108 zenon_H10a zenon_H109. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.92/1.08 apply (zenon_L514_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.08 apply (zenon_L18_); trivial. % 0.92/1.08 apply (zenon_L239_); trivial. % 0.92/1.08 (* end of lemma zenon_L588_ *) % 0.92/1.08 assert (zenon_L589_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H49 zenon_H1a2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H266 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.08 apply (zenon_L162_); trivial. % 0.92/1.08 apply (zenon_L588_); trivial. % 0.92/1.08 (* end of lemma zenon_L589_ *) % 0.92/1.08 assert (zenon_L590_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H1d5 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H18c zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_H4c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.08 apply (zenon_L193_); trivial. % 0.92/1.08 apply (zenon_L589_); trivial. % 0.92/1.08 apply (zenon_L524_); trivial. % 0.92/1.08 (* end of lemma zenon_L590_ *) % 0.92/1.08 assert (zenon_L591_ : ((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c3_1 (a946))) -> (~(c2_1 (a946))) -> (~(c0_1 (a946))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H2f zenon_H141 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H145 zenon_H1 zenon_H59 zenon_H268 zenon_H191 zenon_H190 zenon_H18f zenon_H16 zenon_H15 zenon_H14 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_H1bd zenon_H1be zenon_H1bf zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.08 apply (zenon_L526_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.08 apply (zenon_L507_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.08 apply (zenon_L262_); trivial. % 0.92/1.08 apply (zenon_L97_); trivial. % 0.92/1.08 (* end of lemma zenon_L591_ *) % 0.92/1.08 assert (zenon_L592_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp14)) -> (~(hskp7)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H35 zenon_H141 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H145 zenon_H1 zenon_H59 zenon_H268 zenon_H191 zenon_H190 zenon_H18f zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.08 apply (zenon_L259_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.08 apply (zenon_L12_); trivial. % 0.92/1.08 apply (zenon_L591_); trivial. % 0.92/1.08 (* end of lemma zenon_L592_ *) % 0.92/1.08 assert (zenon_L593_ : ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (c3_1 (a923)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V)))))) -> (~(c0_1 (a923))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp13)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1b7 zenon_H50 zenon_H12e zenon_H4e zenon_H12 zenon_H59 zenon_Hb. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1b7); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1b8 ]. % 0.92/1.08 generalize (zenon_H1ad (a923)). zenon_intro zenon_H26d. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H26d); [ zenon_intro zenon_H11 | zenon_intro zenon_H26e ]. % 0.92/1.08 exact (zenon_H11 zenon_H12). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H26e); [ zenon_intro zenon_H54 | zenon_intro zenon_H26f ]. % 0.92/1.08 exact (zenon_H4e zenon_H54). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H26f); [ zenon_intro zenon_H270 | zenon_intro zenon_H55 ]. % 0.92/1.08 generalize (zenon_H12e (a923)). zenon_intro zenon_H271. % 0.92/1.08 apply (zenon_imply_s _ _ zenon_H271); [ zenon_intro zenon_H11 | zenon_intro zenon_H272 ]. % 0.92/1.08 exact (zenon_H11 zenon_H12). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H54 | zenon_intro zenon_H273 ]. % 0.92/1.08 exact (zenon_H4e zenon_H54). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H274 | zenon_intro zenon_H55 ]. % 0.92/1.08 exact (zenon_H270 zenon_H274). % 0.92/1.08 exact (zenon_H55 zenon_H50). % 0.92/1.08 exact (zenon_H55 zenon_H50). % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H5a | zenon_intro zenon_Hc ]. % 0.92/1.08 exact (zenon_H59 zenon_H5a). % 0.92/1.08 exact (zenon_Hb zenon_Hc). % 0.92/1.08 (* end of lemma zenon_L593_ *) % 0.92/1.08 assert (zenon_L594_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp13)) -> (~(hskp7)) -> (~(c0_1 (a923))) -> (c3_1 (a923)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H13c zenon_H13d zenon_H191 zenon_H190 zenon_H18f zenon_H14 zenon_H15 zenon_H16 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_Hb zenon_H59 zenon_H4e zenon_H50 zenon_H1b7. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.08 apply (zenon_L507_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.08 apply (zenon_L593_); trivial. % 0.92/1.08 apply (zenon_L97_); trivial. % 0.92/1.08 (* end of lemma zenon_L594_ *) % 0.92/1.08 assert (zenon_L595_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp10)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hbd zenon_H1a2 zenon_H38 zenon_H35 zenon_H141 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H1b7 zenon_H59 zenon_H1d5 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H14f zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H1f zenon_H21 zenon_Hb zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.08 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.08 apply (zenon_L162_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.08 apply (zenon_L7_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.08 apply (zenon_L12_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.08 apply (zenon_L507_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.08 apply (zenon_L593_); trivial. % 0.92/1.08 apply (zenon_L271_); trivial. % 0.92/1.08 apply (zenon_L594_); trivial. % 0.92/1.08 (* end of lemma zenon_L595_ *) % 0.92/1.08 assert (zenon_L596_ : ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (ndr1_0) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> (~(hskp13)) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_Hc0 zenon_Hf zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H12 zenon_H1bc zenon_H1b7 zenon_Hb zenon_H59 zenon_H1ab zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H21 zenon_H13d zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_Ha8 zenon_H14f zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H145 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H141 zenon_H35 zenon_H38 zenon_H1da zenon_H1a2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.08 apply (zenon_L162_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.08 apply (zenon_L180_); trivial. % 0.92/1.08 apply (zenon_L592_); trivial. % 0.92/1.08 apply (zenon_L595_); trivial. % 0.92/1.08 (* end of lemma zenon_L596_ *) % 0.92/1.08 assert (zenon_L597_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> (~(hskp7)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H1e7 zenon_H1bc zenon_H1b7 zenon_H1ab zenon_Ha8 zenon_H13d zenon_H1da zenon_H141 zenon_H16a zenon_H145 zenon_H268 zenon_H14f zenon_H178 zenon_H103 zenon_H169 zenon_H1f1 zenon_H15b zenon_H1fc zenon_H201 zenon_H4c zenon_Hc0 zenon_H5b zenon_H59 zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H19d zenon_H57 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_Hf zenon_H21 zenon_H30 zenon_H35 zenon_H38 zenon_H67 zenon_H1a5 zenon_Hf2 zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H1d5 zenon_Hf1. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.08 apply (zenon_L252_); trivial. % 0.92/1.08 apply (zenon_L590_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.08 apply (zenon_L255_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.08 apply (zenon_L596_); trivial. % 0.92/1.08 apply (zenon_L241_); trivial. % 0.92/1.08 apply (zenon_L254_); trivial. % 0.92/1.08 apply (zenon_L139_); trivial. % 0.92/1.08 (* end of lemma zenon_L597_ *) % 0.92/1.08 assert (zenon_L598_ : ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp21)) -> (~(hskp10)) -> (~(c0_1 (a954))) -> (c1_1 (a954)) -> (c3_1 (a954)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_Hd zenon_H1f zenon_H7d zenon_H7e zenon_H7f zenon_H67 zenon_Ha4 zenon_H12 zenon_H18f zenon_H190 zenon_H191. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.92/1.08 apply (zenon_L453_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.92/1.08 apply (zenon_L414_); trivial. % 0.92/1.08 apply (zenon_L163_); trivial. % 0.92/1.08 (* end of lemma zenon_L598_ *) % 0.92/1.08 assert (zenon_L599_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (~(hskp21)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.92/1.08 do 0 intro. intros zenon_H88 zenon_Hb3 zenon_H67 zenon_H1f zenon_Hd zenon_H258 zenon_H24f zenon_H250 zenon_H266 zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H108 zenon_H10a zenon_H109. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.92/1.08 apply (zenon_L598_); trivial. % 0.92/1.08 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.08 apply (zenon_L18_); trivial. % 0.92/1.08 apply (zenon_L239_); trivial. % 0.92/1.08 (* end of lemma zenon_L599_ *) % 0.92/1.08 assert (zenon_L600_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H19f zenon_H38 zenon_H89 zenon_H86 zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H266 zenon_H1f zenon_H67 zenon_H250 zenon_H24f zenon_H258 zenon_H3a zenon_H3b zenon_H3c zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H8d. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.08 apply (zenon_L200_); trivial. % 0.92/1.08 apply (zenon_L599_); trivial. % 0.92/1.08 apply (zenon_L201_); trivial. % 0.92/1.08 (* end of lemma zenon_L600_ *) % 0.92/1.08 assert (zenon_L601_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp10)) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.08 do 0 intro. intros zenon_H4c zenon_H1a2 zenon_H89 zenon_H86 zenon_H1e2 zenon_H43 zenon_H17a zenon_H1e0 zenon_H266 zenon_H67 zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H8d zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_Hf zenon_H9 zenon_H21 zenon_H1f zenon_H2d zenon_H30 zenon_H35 zenon_H38. % 0.92/1.08 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.08 apply (zenon_L17_); trivial. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.08 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_L600_); trivial. % 0.92/1.09 (* end of lemma zenon_L601_ *) % 0.92/1.09 assert (zenon_L602_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z))))))\/((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/(hskp9))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf1 zenon_H1d5 zenon_Hf2 zenon_H1a5 zenon_H1a3 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H8d zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H67 zenon_H266 zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H86 zenon_H89 zenon_H1a2 zenon_H4c zenon_H201 zenon_H1fc zenon_H15b zenon_H1f1 zenon_H169 zenon_H103. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_L601_); trivial. % 0.92/1.09 apply (zenon_L171_); trivial. % 0.92/1.09 apply (zenon_L251_); trivial. % 0.92/1.09 apply (zenon_L590_); trivial. % 0.92/1.09 (* end of lemma zenon_L602_ *) % 0.92/1.09 assert (zenon_L603_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf1 zenon_H1d5 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_H18c zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_Hb3 zenon_H1a2 zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H141 zenon_H4c zenon_H14f zenon_H103. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_L148_); trivial. % 0.92/1.09 apply (zenon_L590_); trivial. % 0.92/1.09 (* end of lemma zenon_L603_ *) % 0.92/1.09 assert (zenon_L604_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> (~(c3_1 (a926))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H19f zenon_Hb3 zenon_H20c zenon_H20d zenon_H20b zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_H11a zenon_H108 zenon_H10a zenon_H109. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.92/1.09 apply (zenon_L514_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.09 apply (zenon_L546_); trivial. % 0.92/1.09 apply (zenon_L239_); trivial. % 0.92/1.09 (* end of lemma zenon_L604_ *) % 0.92/1.09 assert (zenon_L605_ : ((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H21c zenon_H1a2 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H266 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_L604_); trivial. % 0.92/1.09 (* end of lemma zenon_L605_ *) % 0.92/1.09 assert (zenon_L606_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp28)\/(hskp16))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H1a2 zenon_H1da zenon_H8d zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H1ab zenon_H207 zenon_Ha8 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H209 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H141 zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H21b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.09 apply (zenon_L315_); trivial. % 0.92/1.09 apply (zenon_L605_); trivial. % 0.92/1.09 apply (zenon_L233_); trivial. % 0.92/1.09 (* end of lemma zenon_L606_ *) % 0.92/1.09 assert (zenon_L607_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c0_1 (a946))) -> (~(c2_1 (a946))) -> (~(c3_1 (a946))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a937))) -> (~(c0_1 (a937))) -> (c1_1 (a937)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H13c zenon_H13d zenon_H191 zenon_H190 zenon_H18f zenon_H14 zenon_H15 zenon_H16 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H1bd zenon_H1be zenon_H1bf zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.09 apply (zenon_L507_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.09 apply (zenon_L273_); trivial. % 0.92/1.09 apply (zenon_L97_); trivial. % 0.92/1.09 (* end of lemma zenon_L607_ *) % 0.92/1.09 assert (zenon_L608_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c2_1 (a936))) -> (~(c3_1 (a936))) -> (~(c1_1 (a936))) -> (~(c3_1 (a906))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H34 zenon_Hb3 zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H3c zenon_H3b zenon_H3a zenon_H11a zenon_H18f zenon_H190 zenon_H191 zenon_H108 zenon_H10a zenon_H109. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb3); [ zenon_intro zenon_Ha4 | zenon_intro zenon_Hb4 ]. % 0.92/1.09 apply (zenon_L507_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb4); [ zenon_intro zenon_H39 | zenon_intro zenon_Ha9 ]. % 0.92/1.09 apply (zenon_L18_); trivial. % 0.92/1.09 apply (zenon_L239_); trivial. % 0.92/1.09 (* end of lemma zenon_L608_ *) % 0.92/1.09 assert (zenon_L609_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H19f zenon_H38 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H3c zenon_H3b zenon_H3a zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_H15b zenon_H169. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L360_); trivial. % 0.92/1.09 apply (zenon_L608_); trivial. % 0.92/1.09 (* end of lemma zenon_L609_ *) % 0.92/1.09 assert (zenon_L610_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/((hskp7)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H100 zenon_Hf2 zenon_H1a2 zenon_H1da zenon_H38 zenon_H35 zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Ha8 zenon_H1d5 zenon_H1ce zenon_H1cd zenon_H1cc zenon_H13d zenon_H21 zenon_H178 zenon_H1f zenon_H67 zenon_H15b zenon_H169 zenon_H1ab zenon_H59 zenon_H1b7 zenon_H1bc zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_H11a zenon_Hb3 zenon_H4c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.09 apply (zenon_L180_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L259_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.09 apply (zenon_L12_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.09 apply (zenon_L526_); trivial. % 0.92/1.09 apply (zenon_L607_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_L609_); trivial. % 0.92/1.09 apply (zenon_L275_); trivial. % 0.92/1.09 (* end of lemma zenon_L610_ *) % 0.92/1.09 assert (zenon_L611_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H38 zenon_H268 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H266 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H4c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L578_); trivial. % 0.92/1.09 apply (zenon_L469_); trivial. % 0.92/1.09 apply (zenon_L208_); trivial. % 0.92/1.09 (* end of lemma zenon_L611_ *) % 0.92/1.09 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(hskp9)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H13c zenon_H1a5 zenon_H108 zenon_H109 zenon_H10a zenon_H16c zenon_H16d zenon_H16a zenon_H258 zenon_H24f zenon_H250 zenon_Ha8 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1d5 zenon_H183 zenon_H182 zenon_H181 zenon_H1a3. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H13 | zenon_intro zenon_H1a6 ]. % 0.92/1.09 apply (zenon_L471_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H180 | zenon_intro zenon_H1a4 ]. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 exact (zenon_H1a3 zenon_H1a4). % 0.92/1.09 (* end of lemma zenon_L612_ *) % 0.92/1.09 assert (zenon_L613_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H16d zenon_H16c zenon_Ha8 zenon_H141 zenon_H4c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L193_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_L612_); trivial. % 0.92/1.09 apply (zenon_L539_); trivial. % 0.92/1.09 (* end of lemma zenon_L613_ *) % 0.92/1.09 assert (zenon_L614_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_H268 zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H266 zenon_H11a zenon_Hb3 zenon_Hf2 zenon_Ha8 zenon_H38 zenon_H35 zenon_H30 zenon_H21 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H141 zenon_H4c zenon_H14f zenon_H103. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_L148_); trivial. % 0.92/1.09 apply (zenon_L611_); trivial. % 0.92/1.09 (* end of lemma zenon_L614_ *) % 0.92/1.09 assert (zenon_L615_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H13c zenon_H13d zenon_H86 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H89 zenon_H129 zenon_H122 zenon_H120. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.09 apply (zenon_L484_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.09 apply (zenon_L96_); trivial. % 0.92/1.09 apply (zenon_L97_); trivial. % 0.92/1.09 (* end of lemma zenon_L615_ *) % 0.92/1.09 assert (zenon_L616_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H49 zenon_H141 zenon_H13d zenon_H1d5 zenon_H129 zenon_H120 zenon_H122 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_H86 zenon_H89 zenon_H9 zenon_H11e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_L615_); trivial. % 0.92/1.09 (* end of lemma zenon_L616_ *) % 0.92/1.09 assert (zenon_L617_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H4c zenon_H141 zenon_H13d zenon_H1d5 zenon_H129 zenon_H120 zenon_H122 zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_H86 zenon_H89 zenon_H11e zenon_Hf zenon_H9 zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L193_); trivial. % 0.92/1.09 apply (zenon_L616_); trivial. % 0.92/1.09 (* end of lemma zenon_L617_ *) % 0.92/1.09 assert (zenon_L618_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_H89 zenon_H86 zenon_H258 zenon_H24f zenon_H250 zenon_H122 zenon_H120 zenon_H129 zenon_H1d5 zenon_H13d zenon_H141 zenon_H4c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_L617_); trivial. % 0.92/1.09 apply (zenon_L524_); trivial. % 0.92/1.09 (* end of lemma zenon_L618_ *) % 0.92/1.09 assert (zenon_L619_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf1 zenon_H89 zenon_H86 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H4c zenon_H11e zenon_H67 zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141 zenon_Hf zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38 zenon_Hf2. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_L290_); trivial. % 0.92/1.09 apply (zenon_L618_); trivial. % 0.92/1.09 (* end of lemma zenon_L619_ *) % 0.92/1.09 assert (zenon_L620_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp1)\/(hskp2))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1e7 zenon_H1a2 zenon_H8d zenon_H1e0 zenon_H17a zenon_H43 zenon_H1e2 zenon_H18c zenon_H35 zenon_H30 zenon_H21 zenon_H169 zenon_H14f zenon_H15b zenon_H103 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H86 zenon_H89 zenon_Hf1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.09 apply (zenon_L619_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_L294_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L203_); trivial. % 0.92/1.09 apply (zenon_L616_); trivial. % 0.92/1.09 apply (zenon_L208_); trivial. % 0.92/1.09 (* end of lemma zenon_L620_ *) % 0.92/1.09 assert (zenon_L621_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10))))) -> (ndr1_0) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H13 zenon_H12 zenon_H122 zenon_Ha4 zenon_H120 zenon_H129. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.92/1.09 apply (zenon_L141_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.92/1.09 apply (zenon_L416_); trivial. % 0.92/1.09 apply (zenon_L94_); trivial. % 0.92/1.09 (* end of lemma zenon_L621_ *) % 0.92/1.09 assert (zenon_L622_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp9)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H13c zenon_H13d zenon_H1a3 zenon_H181 zenon_H182 zenon_H183 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_H250 zenon_H24f zenon_H258 zenon_H1a5 zenon_H129 zenon_H122 zenon_H120. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H13 | zenon_intro zenon_H1a6 ]. % 0.92/1.09 apply (zenon_L621_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H180 | zenon_intro zenon_H1a4 ]. % 0.92/1.09 apply (zenon_L160_); trivial. % 0.92/1.09 exact (zenon_H1a3 zenon_H1a4). % 0.92/1.09 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.09 apply (zenon_L96_); trivial. % 0.92/1.09 apply (zenon_L97_); trivial. % 0.92/1.09 (* end of lemma zenon_L622_ *) % 0.92/1.09 assert (zenon_L623_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H11e zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H13d zenon_H141 zenon_H4c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L193_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.09 apply (zenon_L92_); trivial. % 0.92/1.09 apply (zenon_L622_); trivial. % 0.92/1.09 apply (zenon_L539_); trivial. % 0.92/1.09 (* end of lemma zenon_L623_ *) % 0.92/1.09 assert (zenon_L624_ : ((~(hskp9))\/((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1e7 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H1e8 zenon_H16d zenon_H16c zenon_H268 zenon_H35 zenon_H30 zenon_H21 zenon_H169 zenon_H14f zenon_H15b zenon_H103 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H141 zenon_H13d zenon_H122 zenon_H120 zenon_H129 zenon_H67 zenon_H11e zenon_H4c zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H86 zenon_H89 zenon_Hf1. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.09 apply (zenon_L619_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_L294_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L578_); trivial. % 0.92/1.09 apply (zenon_L115_); trivial. % 0.92/1.09 apply (zenon_L208_); trivial. % 0.92/1.09 apply (zenon_L302_); trivial. % 0.92/1.09 (* end of lemma zenon_L624_ *) % 0.92/1.09 assert (zenon_L625_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1dd zenon_H103 zenon_H13d zenon_H129 zenon_H120 zenon_H122 zenon_H14f zenon_H4c zenon_H141 zenon_H30 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H11e zenon_Hf zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H16c zenon_H16d zenon_H1e8 zenon_Ha8 zenon_H268 zenon_H38 zenon_Hf2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_L586_); trivial. % 0.92/1.09 apply (zenon_L305_); trivial. % 0.92/1.09 (* end of lemma zenon_L625_ *) % 0.92/1.09 assert (zenon_L626_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hee zenon_Hf2 zenon_H38 zenon_H268 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H266 zenon_H11a zenon_H10a zenon_H109 zenon_H108 zenon_Hb3 zenon_H1a2 zenon_H4c. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L581_); trivial. % 0.92/1.09 apply (zenon_L589_); trivial. % 0.92/1.09 apply (zenon_L233_); trivial. % 0.92/1.09 (* end of lemma zenon_L626_ *) % 0.92/1.09 assert (zenon_L627_ : ((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H34 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_H225 zenon_H226 zenon_H227. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.92/1.09 apply (zenon_L453_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.92/1.09 apply (zenon_L9_); trivial. % 0.92/1.09 apply (zenon_L336_); trivial. % 0.92/1.09 (* end of lemma zenon_L627_ *) % 0.92/1.09 assert (zenon_L628_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_H9 zenon_Hb zenon_Hf. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L7_); trivial. % 0.92/1.09 apply (zenon_L627_); trivial. % 0.92/1.09 (* end of lemma zenon_L628_ *) % 0.92/1.09 assert (zenon_L629_ : ((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Heb zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_H1f zenon_H67. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L29_); trivial. % 0.92/1.09 apply (zenon_L627_); trivial. % 0.92/1.09 (* end of lemma zenon_L629_ *) % 0.92/1.09 assert (zenon_L630_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf2 zenon_H1f zenon_H67 zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H11e zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H30 zenon_H2d zenon_Ha8 zenon_H141 zenon_H4c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L628_); trivial. % 0.92/1.09 apply (zenon_L115_); trivial. % 0.92/1.09 apply (zenon_L629_); trivial. % 0.92/1.09 (* end of lemma zenon_L630_ *) % 0.92/1.09 assert (zenon_L631_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H100 zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_Ha8 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L196_); trivial. % 0.92/1.09 apply (zenon_L627_); trivial. % 0.92/1.09 (* end of lemma zenon_L631_ *) % 0.92/1.09 assert (zenon_L632_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hee zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_H225 zenon_H226 zenon_H227. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.92/1.09 apply (zenon_L453_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.92/1.09 apply (zenon_L57_); trivial. % 0.92/1.09 apply (zenon_L336_); trivial. % 0.92/1.09 (* end of lemma zenon_L632_ *) % 0.92/1.09 assert (zenon_L633_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H104 zenon_Hf1 zenon_H266 zenon_Hf2 zenon_H67 zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H11e zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H178 zenon_H103. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_L630_); trivial. % 0.92/1.09 apply (zenon_L631_); trivial. % 0.92/1.09 apply (zenon_L632_); trivial. % 0.92/1.09 (* end of lemma zenon_L633_ *) % 0.92/1.09 assert (zenon_L634_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H222 zenon_Hf1 zenon_H266 zenon_Hf2 zenon_H67 zenon_H38 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H11e zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H178 zenon_H103 zenon_H19d zenon_H57 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H5b zenon_Hc0. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.09 apply (zenon_L338_); trivial. % 0.92/1.09 apply (zenon_L633_); trivial. % 0.92/1.09 (* end of lemma zenon_L634_ *) % 0.92/1.09 assert (zenon_L635_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp21)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> False). % 0.92/1.09 do 0 intro. intros zenon_H88 zenon_H266 zenon_H250 zenon_H24f zenon_H258 zenon_Hd zenon_H1f zenon_H67 zenon_H225 zenon_H226 zenon_H227. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H266); [ zenon_intro zenon_H262 | zenon_intro zenon_H267 ]. % 0.92/1.09 apply (zenon_L453_); trivial. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H6e | zenon_intro zenon_H18e ]. % 0.92/1.09 apply (zenon_L414_); trivial. % 0.92/1.09 apply (zenon_L336_); trivial. % 0.92/1.09 (* end of lemma zenon_L635_ *) % 0.92/1.09 assert (zenon_L636_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H8d zenon_H266 zenon_H227 zenon_H226 zenon_H225 zenon_H1f zenon_H67 zenon_H250 zenon_H24f zenon_H258 zenon_H141 zenon_H15b zenon_Hd zenon_H6b zenon_H6d zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L413_); trivial. % 0.92/1.09 apply (zenon_L635_); trivial. % 0.92/1.09 (* end of lemma zenon_L636_ *) % 0.92/1.09 assert (zenon_L637_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H4c zenon_H9d zenon_H8e zenon_H3 zenon_H78 zenon_H8d zenon_H266 zenon_H1f zenon_H67 zenon_H141 zenon_H15b zenon_H6d zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_H21 zenon_H2d zenon_H30 zenon_H35 zenon_Hf zenon_H9 zenon_H258 zenon_H24f zenon_H250 zenon_H225 zenon_H226 zenon_H227 zenon_H268 zenon_H38. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L628_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L636_); trivial. % 0.92/1.09 apply (zenon_L16_); trivial. % 0.92/1.09 apply (zenon_L40_); trivial. % 0.92/1.09 (* end of lemma zenon_L637_ *) % 0.92/1.09 assert (zenon_L638_ : ((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H100 zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_H178 zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H15b zenon_H169. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L360_); trivial. % 0.92/1.09 apply (zenon_L627_); trivial. % 0.92/1.09 (* end of lemma zenon_L638_ *) % 0.92/1.09 assert (zenon_L639_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H49 zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_H11e zenon_H9 zenon_H67 zenon_H1f zenon_H129 zenon_H120 zenon_H122 zenon_H13d zenon_H141. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L99_); trivial. % 0.92/1.09 apply (zenon_L627_); trivial. % 0.92/1.09 (* end of lemma zenon_L639_ *) % 0.92/1.09 assert (zenon_L640_ : ((ndr1_0)/\((c3_1 (a905))/\((~(c0_1 (a905)))/\(~(c2_1 (a905)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H275 zenon_Hf1 zenon_H266 zenon_H4c zenon_H11e zenon_H67 zenon_H13d zenon_H141 zenon_Hf zenon_H258 zenon_H24f zenon_H250 zenon_H225 zenon_H226 zenon_H227 zenon_H268 zenon_H38 zenon_Hf2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L628_); trivial. % 0.92/1.09 apply (zenon_L639_); trivial. % 0.92/1.09 apply (zenon_L629_); trivial. % 0.92/1.09 apply (zenon_L632_); trivial. % 0.92/1.09 (* end of lemma zenon_L640_ *) % 0.92/1.09 assert (zenon_L641_ : ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> (ndr1_0) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp12)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H1a2 zenon_H1da zenon_H38 zenon_H35 zenon_H30 zenon_H2d zenon_H21 zenon_H141 zenon_H13d zenon_H209 zenon_H205 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_H11e zenon_H258 zenon_H24f zenon_H250 zenon_H67 zenon_H1f zenon_H225 zenon_H226 zenon_H227 zenon_H266 zenon_H8d zenon_H1ab zenon_H3a zenon_H3b zenon_H3c zenon_Hb9 zenon_H1db zenon_H1bc zenon_H12 zenon_H181 zenon_H182 zenon_H183 zenon_H9 zenon_H18c. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.09 apply (zenon_L189_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L556_); trivial. % 0.92/1.09 apply (zenon_L635_); trivial. % 0.92/1.09 apply (zenon_L16_); trivial. % 0.92/1.09 (* end of lemma zenon_L641_ *) % 0.92/1.09 assert (zenon_L642_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(hskp10)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (ndr1_0) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(hskp1)) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c3_1 (a926))) -> (c2_1 (a926)) -> (c1_1 (a926)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c1_1 (a937)) -> (~(c0_1 (a937))) -> (~(c2_1 (a937))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H8d zenon_H227 zenon_H226 zenon_H225 zenon_H1f zenon_Hd zenon_H67 zenon_H11e zenon_H9 zenon_H3c zenon_H3b zenon_H3a zenon_H12 zenon_H1e0 zenon_H17a zenon_H191 zenon_H190 zenon_H18f zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H20b zenon_H20c zenon_H20d zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_H1bf zenon_H1be zenon_H1bd zenon_H266 zenon_H13d zenon_H141. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L561_); trivial. % 0.92/1.09 apply (zenon_L635_); trivial. % 0.92/1.09 (* end of lemma zenon_L642_ *) % 0.92/1.09 assert (zenon_L643_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_Hf1 zenon_H1d5 zenon_Hf2 zenon_H38 zenon_H1a5 zenon_H1a3 zenon_H183 zenon_H182 zenon_H181 zenon_Hf zenon_H1a2 zenon_H1da zenon_H35 zenon_H30 zenon_H21 zenon_H141 zenon_H13d zenon_H209 zenon_Ha8 zenon_H17a zenon_H1e0 zenon_H11e zenon_H258 zenon_H24f zenon_H250 zenon_H67 zenon_H225 zenon_H226 zenon_H227 zenon_H266 zenon_H8d zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H18c zenon_H11a zenon_H1e8 zenon_H16d zenon_H16c zenon_H21b zenon_H4c zenon_H169 zenon_H15b zenon_H178 zenon_H103. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L193_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.09 apply (zenon_L641_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.09 apply (zenon_L189_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_L642_); trivial. % 0.92/1.09 apply (zenon_L170_); trivial. % 0.92/1.09 apply (zenon_L171_); trivial. % 0.92/1.09 apply (zenon_L564_); trivial. % 0.92/1.09 apply (zenon_L569_); trivial. % 0.92/1.09 (* end of lemma zenon_L643_ *) % 0.92/1.09 assert (zenon_L644_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H104 zenon_Hf1 zenon_H266 zenon_Hf2 zenon_H67 zenon_H38 zenon_H268 zenon_H227 zenon_H226 zenon_H225 zenon_H250 zenon_H24f zenon_H258 zenon_Hf zenon_H11e zenon_H30 zenon_Ha8 zenon_H141 zenon_H4c zenon_H178 zenon_H1e8 zenon_H16d zenon_H16c zenon_H103. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.09 apply (zenon_L630_); trivial. % 0.92/1.09 apply (zenon_L461_); trivial. % 0.92/1.09 apply (zenon_L632_); trivial. % 0.92/1.09 (* end of lemma zenon_L644_ *) % 0.92/1.09 assert (zenon_L645_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H104 zenon_Hf1 zenon_H266 zenon_H4c zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H11e zenon_Hf zenon_H258 zenon_H24f zenon_H250 zenon_H225 zenon_H226 zenon_H227 zenon_H268 zenon_H38 zenon_H67 zenon_Hf2. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L628_); trivial. % 0.92/1.09 apply (zenon_L146_); trivial. % 0.92/1.09 apply (zenon_L629_); trivial. % 0.92/1.09 apply (zenon_L632_); trivial. % 0.92/1.09 (* end of lemma zenon_L645_ *) % 0.92/1.09 assert (zenon_L646_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c2_1 (a906)) -> (c0_1 (a906)) -> (~(c3_1 (a906))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> (c0_1 (a903)) -> (~(c3_1 (a903))) -> (~(c2_1 (a903))) -> (ndr1_0) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((hskp6)\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H222 zenon_Hf1 zenon_H266 zenon_H4c zenon_H141 zenon_H16a zenon_H10a zenon_H109 zenon_H108 zenon_H11e zenon_Hf zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_H38 zenon_H67 zenon_Hf2 zenon_H19d zenon_H57 zenon_H227 zenon_H226 zenon_H225 zenon_H12 zenon_H5b zenon_Hc0. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.09 apply (zenon_L338_); trivial. % 0.92/1.09 apply (zenon_L645_); trivial. % 0.92/1.09 (* end of lemma zenon_L646_ *) % 0.92/1.09 assert (zenon_L647_ : ((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (c2_1 (a921)) -> (~(c3_1 (a921))) -> (~(c0_1 (a921))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H19f zenon_H38 zenon_H35 zenon_H30 zenon_H9 zenon_H2d zenon_H21 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H3c zenon_H3b zenon_H3a zenon_H17a zenon_H1e0 zenon_H258 zenon_H24f zenon_H250 zenon_H67 zenon_H1f zenon_H225 zenon_H226 zenon_H227 zenon_H266 zenon_H8d. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L276_); trivial. % 0.92/1.09 apply (zenon_L635_); trivial. % 0.92/1.09 apply (zenon_L16_); trivial. % 0.92/1.09 (* end of lemma zenon_L647_ *) % 0.92/1.09 assert (zenon_L648_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp1)\/(hskp23))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a903))) -> (~(c3_1 (a903))) -> (c0_1 (a903)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H4c zenon_H1a2 zenon_H35 zenon_H30 zenon_H2d zenon_H21 zenon_Hb3 zenon_H108 zenon_H109 zenon_H10a zenon_H11a zenon_H17a zenon_H1e0 zenon_H67 zenon_H1f zenon_H266 zenon_H8d zenon_H181 zenon_H182 zenon_H183 zenon_H18c zenon_Hf zenon_H9 zenon_H258 zenon_H24f zenon_H250 zenon_H225 zenon_H226 zenon_H227 zenon_H268 zenon_H38. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.09 apply (zenon_L628_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.09 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.09 apply (zenon_L162_); trivial. % 0.92/1.09 apply (zenon_L647_); trivial. % 0.92/1.09 (* end of lemma zenon_L648_ *) % 0.92/1.09 assert (zenon_L649_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp23)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp14)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H35 zenon_H69 zenon_H6b zenon_H6d zenon_H23c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H59 zenon_H1 zenon_H145. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.09 apply (zenon_L390_); trivial. % 0.92/1.09 apply (zenon_L419_); trivial. % 0.92/1.09 (* end of lemma zenon_L649_ *) % 0.92/1.09 assert (zenon_L650_ : ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp3)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> (~(hskp14)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (~(hskp7)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> False). % 0.92/1.09 do 0 intro. intros zenon_H9d zenon_H8e zenon_H78 zenon_H5 zenon_H3 zenon_H1 zenon_H35 zenon_H6d zenon_H23c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H231 zenon_H230 zenon_H22f zenon_H59 zenon_H145 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Ha8 zenon_H3a zenon_H3b zenon_H3c zenon_Hb3 zenon_H8d zenon_Hb8. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.09 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.92/1.09 apply (zenon_L3_); trivial. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.92/1.09 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.09 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.09 apply (zenon_L649_); trivial. % 0.92/1.09 apply (zenon_L428_); trivial. % 0.92/1.09 apply (zenon_L40_); trivial. % 0.92/1.09 (* end of lemma zenon_L650_ *) % 0.92/1.09 assert (zenon_L651_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp7)\/(hskp14))) -> (~(hskp7)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H38 zenon_Hbb zenon_Hb9 zenon_H2d zenon_H23b zenon_H5e zenon_H5f zenon_H60 zenon_H1f zenon_H67 zenon_Hb8 zenon_H8d zenon_Hb3 zenon_Ha8 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H145 zenon_H59 zenon_H22f zenon_H230 zenon_H231 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H23c zenon_H6d zenon_H35 zenon_H3 zenon_H5 zenon_H78 zenon_H8e zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L650_); trivial. % 0.92/1.10 apply (zenon_L382_); trivial. % 0.92/1.10 (* end of lemma zenon_L651_ *) % 0.92/1.10 assert (zenon_L652_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> (c0_1 (a939)) -> (~(c3_1 (a939))) -> (~(c1_1 (a939))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp15)) -> (~(hskp23)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H35 zenon_H141 zenon_Hb3 zenon_Hac zenon_Hab zenon_Haa zenon_H6d zenon_H6b zenon_H69 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_L392_); trivial. % 0.92/1.10 apply (zenon_L434_); trivial. % 0.92/1.10 (* end of lemma zenon_L652_ *) % 0.92/1.10 assert (zenon_L653_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_Hb8 zenon_H38 zenon_H8d zenon_H89 zenon_H86 zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H11e zenon_H9 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H6d zenon_Hb3 zenon_H141 zenon_H35 zenon_Ha8 zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H178 zenon_H3 zenon_H5 zenon_H78 zenon_H8e zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.92/1.10 apply (zenon_L3_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_L196_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_L652_); trivial. % 0.92/1.10 apply (zenon_L37_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 apply (zenon_L400_); trivial. % 0.92/1.10 (* end of lemma zenon_L653_ *) % 0.92/1.10 assert (zenon_L654_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (~(hskp12)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(hskp4)) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp3)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_Hbb zenon_Hb8 zenon_H8d zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_Ha8 zenon_Hb9 zenon_H1db zenon_H23c zenon_Hf5 zenon_Hf4 zenon_Hf3 zenon_H231 zenon_H230 zenon_H22f zenon_H11e zenon_H9 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H6d zenon_Hb3 zenon_H141 zenon_H35 zenon_H3 zenon_H5 zenon_H78 zenon_H8e zenon_H9d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.92/1.10 apply (zenon_L3_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_L652_); trivial. % 0.92/1.10 apply (zenon_L447_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 apply (zenon_L400_); trivial. % 0.92/1.10 (* end of lemma zenon_L654_ *) % 0.92/1.10 assert (zenon_L655_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp21)) -> (~(hskp10)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H35 zenon_H30 zenon_H9 zenon_H2d zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_H67 zenon_Hd zenon_H1f zenon_H16d zenon_H16c zenon_H23c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.92/1.10 apply (zenon_L378_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L358_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 apply (zenon_L15_); trivial. % 0.92/1.10 (* end of lemma zenon_L655_ *) % 0.92/1.10 assert (zenon_L656_ : ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> (~(hskp11)) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H38 zenon_H21 zenon_H23c zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H2d zenon_H9 zenon_H30 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_L655_); trivial. % 0.92/1.10 apply (zenon_L16_); trivial. % 0.92/1.10 (* end of lemma zenon_L656_ *) % 0.92/1.10 assert (zenon_L657_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H88 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H266 zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H21f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.92/1.10 apply (zenon_L455_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L35_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 apply (zenon_L50_); trivial. % 0.92/1.10 (* end of lemma zenon_L657_ *) % 0.92/1.10 assert (zenon_L658_ : ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (ndr1_0) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H266 zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H21f zenon_H141 zenon_H15b zenon_Hd zenon_H6b zenon_H6d zenon_H12 zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_L413_); trivial. % 0.92/1.10 apply (zenon_L657_); trivial. % 0.92/1.10 (* end of lemma zenon_L658_ *) % 0.92/1.10 assert (zenon_L659_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a933))/\((c2_1 (a933))/\(c3_1 (a933)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (~(hskp11)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hbd zenon_H9d zenon_H8e zenon_H3 zenon_H78 zenon_H8d zenon_H35 zenon_Hbb zenon_Hb9 zenon_H266 zenon_H16c zenon_H16d zenon_H1e8 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H21f zenon_H141 zenon_H15b zenon_H6d zenon_H3a zenon_H3b zenon_H3c zenon_H9 zenon_H11e zenon_H1f1 zenon_H201 zenon_H169 zenon_H23b zenon_H2d zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_H38. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_L658_); trivial. % 0.92/1.10 apply (zenon_L381_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 (* end of lemma zenon_L659_ *) % 0.92/1.10 assert (zenon_L660_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (~(hskp21)) -> (~(hskp25)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_H15b zenon_Hd zenon_H159 zenon_H16d zenon_H16c zenon_H23c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.92/1.10 apply (zenon_L378_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L152_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 apply (zenon_L50_); trivial. % 0.92/1.10 (* end of lemma zenon_L660_ *) % 0.92/1.10 assert (zenon_L661_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp15)) -> (~(hskp23)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(hskp9)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H166 zenon_H1a5 zenon_H60 zenon_H5f zenon_H5e zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H6b zenon_H69 zenon_H6d zenon_H1a3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_H13 | zenon_intro zenon_H1a6 ]. % 0.92/1.10 apply (zenon_L480_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H180 | zenon_intro zenon_H1a4 ]. % 0.92/1.10 apply (zenon_L410_); trivial. % 0.92/1.10 exact (zenon_H1a3 zenon_H1a4). % 0.92/1.10 (* end of lemma zenon_L661_ *) % 0.92/1.10 assert (zenon_L662_ : ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp23)) -> (~(hskp15)) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp21)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> (~(c0_1 (a923))) -> (~(c1_1 (a923))) -> (c3_1 (a923)) -> (~(hskp5)) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H169 zenon_H1a5 zenon_H1a3 zenon_H69 zenon_H6b zenon_H6d zenon_Hcd zenon_Hce zenon_Hcf zenon_H258 zenon_H24f zenon_H250 zenon_H5e zenon_H5f zenon_H60 zenon_H1d5 zenon_H23c zenon_H16c zenon_H16d zenon_Hd zenon_H15b zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H4e zenon_H4f zenon_H50 zenon_Hb9 zenon_Hbb zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.92/1.10 apply (zenon_L660_); trivial. % 0.92/1.10 apply (zenon_L661_); trivial. % 0.92/1.10 (* end of lemma zenon_L662_ *) % 0.92/1.10 assert (zenon_L663_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((~(hskp15))\/((ndr1_0)/\((c2_1 (a924))/\((~(c0_1 (a924)))/\(~(c1_1 (a924))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c0_1 X15)\/((c1_1 X15)\/(~(c2_1 X15))))))\/((hskp3)\/(hskp4))) -> (~(hskp4)) -> (~(hskp3)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X48 : zenon_U, ((ndr1_0)->((~(c0_1 X48))\/((~(c2_1 X48))\/(~(c3_1 X48))))))\/((hskp23)\/(hskp15))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (c0_1 (a907)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp23))\/((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp11)) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H9d zenon_H8e zenon_H3 zenon_H78 zenon_H268 zenon_H6d zenon_H1cc zenon_H1cd zenon_H1ce zenon_H1e8 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H23b zenon_H86 zenon_H89 zenon_H8d zenon_H35 zenon_H30 zenon_H2d zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_H67 zenon_H1f zenon_H16d zenon_H16c zenon_H23c zenon_H21 zenon_H38. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L656_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_L29_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_L380_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H268); [ zenon_intro zenon_H262 | zenon_intro zenon_H269 ]. % 0.92/1.10 apply (zenon_L453_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H13 | zenon_intro zenon_H18e ]. % 0.92/1.10 apply (zenon_L9_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L32_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.92/1.10 apply (zenon_L183_); trivial. % 0.92/1.10 apply (zenon_L223_); trivial. % 0.92/1.10 apply (zenon_L37_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 (* end of lemma zenon_L663_ *) % 0.92/1.10 assert (zenon_L664_ : ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (c1_1 (a907)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(c2_1 (a907))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H16d zenon_H5d zenon_H16c zenon_H12 zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.92/1.10 apply (zenon_L378_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L151_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 (* end of lemma zenon_L664_ *) % 0.92/1.10 assert (zenon_L665_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (ndr1_0) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_H1d5 zenon_H22f zenon_H230 zenon_H231 zenon_H16c zenon_H16d zenon_H23c zenon_H1ce zenon_H1cd zenon_H1cc zenon_Hcf zenon_Hce zenon_Hcd zenon_H12 zenon_H2d zenon_H30 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L57_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.92/1.10 apply (zenon_L183_); trivial. % 0.92/1.10 apply (zenon_L664_); trivial. % 0.92/1.10 apply (zenon_L15_); trivial. % 0.92/1.10 apply (zenon_L208_); trivial. % 0.92/1.10 (* end of lemma zenon_L665_ *) % 0.92/1.10 assert (zenon_L666_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X4 : zenon_U, ((ndr1_0)->((c2_1 X4)\/((~(c0_1 X4))\/(~(c3_1 X4))))))\/((hskp5)\/(hskp7))) -> (~(hskp7)) -> (~(hskp5)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hee zenon_H103 zenon_Hcb zenon_H59 zenon_Hb9 zenon_H35 zenon_H30 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H23c zenon_H16d zenon_H16c zenon_H231 zenon_H230 zenon_H22f zenon_H1d5 zenon_Hf2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L665_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 (* end of lemma zenon_L666_ *) % 0.92/1.10 assert (zenon_L667_ : ((ndr1_0)/\((c1_1 (a954))/\((c3_1 (a954))/\(~(c0_1 (a954)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c0_1 (a907)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp27))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H88 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_H268 zenon_Ha8 zenon_H1e8 zenon_H16d zenon_H16c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Hcd zenon_Hce zenon_Hcf zenon_H5e zenon_H5f zenon_H60 zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_H21f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H88). zenon_intro zenon_H12. zenon_intro zenon_H8a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8a). zenon_intro zenon_H7e. zenon_intro zenon_H8b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H8b). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H220 ]. % 0.92/1.10 apply (zenon_L481_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H7c | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L35_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 apply (zenon_L50_); trivial. % 0.92/1.10 (* end of lemma zenon_L667_ *) % 0.92/1.10 assert (zenon_L668_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(hskp12)) -> (~(hskp11)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H35 zenon_H30 zenon_H9 zenon_H2d zenon_H23c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H16d zenon_H16c zenon_H1d5. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L389_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.92/1.10 apply (zenon_L183_); trivial. % 0.92/1.10 apply (zenon_L664_); trivial. % 0.92/1.10 apply (zenon_L15_); trivial. % 0.92/1.10 (* end of lemma zenon_L668_ *) % 0.92/1.10 assert (zenon_L669_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(hskp11)) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hf2 zenon_Ha8 zenon_H1d5 zenon_H16c zenon_H16d zenon_H1ce zenon_H1cd zenon_H1cc zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H23c zenon_H2d zenon_H30 zenon_H35. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L668_); trivial. % 0.92/1.10 apply (zenon_L233_); trivial. % 0.92/1.10 (* end of lemma zenon_L669_ *) % 0.92/1.10 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a908))/\((~(c2_1 (a908)))/\(~(c3_1 (a908)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (c0_1 (a907)) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H104 zenon_H103 zenon_H38 zenon_H268 zenon_H16c zenon_H16d zenon_H1e8 zenon_H250 zenon_H24f zenon_H258 zenon_H178 zenon_H35 zenon_H30 zenon_H22f zenon_H230 zenon_H231 zenon_H23c zenon_Ha8 zenon_Hf2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L393_); trivial. % 0.92/1.10 apply (zenon_L461_); trivial. % 0.92/1.10 (* end of lemma zenon_L670_ *) % 0.92/1.10 assert (zenon_L671_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp12)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((hskp28)\/(hskp12))) -> (ndr1_0) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(hskp3)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((hskp3)\/(hskp13))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H4c zenon_H141 zenon_H13d zenon_H1d5 zenon_H129 zenon_H120 zenon_H122 zenon_H250 zenon_H24f zenon_H258 zenon_H86 zenon_H89 zenon_H9 zenon_H11e zenon_H12 zenon_Hcd zenon_Hce zenon_Hcf zenon_H78 zenon_H7a. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L58_); trivial. % 0.92/1.10 apply (zenon_L616_); trivial. % 0.92/1.10 (* end of lemma zenon_L671_ *) % 0.92/1.10 assert (zenon_L672_ : ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c0_1 (a905))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H89 zenon_H60 zenon_H5f zenon_H5e zenon_H258 zenon_H24f zenon_H250 zenon_Hcd zenon_Hce zenon_Hcf zenon_H1d5 zenon_H129 zenon_H122 zenon_Ha4 zenon_H120 zenon_H12 zenon_H86. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H13 | zenon_intro zenon_H8c ]. % 0.92/1.10 apply (zenon_L480_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8c); [ zenon_intro zenon_H7c | zenon_intro zenon_H87 ]. % 0.92/1.10 apply (zenon_L123_); trivial. % 0.92/1.10 exact (zenon_H86 zenon_H87). % 0.92/1.10 (* end of lemma zenon_L672_ *) % 0.92/1.10 assert (zenon_L673_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(hskp8)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c2_1 (a917))) -> (c1_1 (a917)) -> (c3_1 (a917)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (c3_1 (a905)) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H13c zenon_H13d zenon_H86 zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_H5e zenon_H5f zenon_H60 zenon_H89 zenon_H129 zenon_H122 zenon_H120. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_Ha4 | zenon_intro zenon_H140 ]. % 0.92/1.10 apply (zenon_L672_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H140); [ zenon_intro zenon_H12e | zenon_intro zenon_H132 ]. % 0.92/1.10 apply (zenon_L96_); trivial. % 0.92/1.10 apply (zenon_L97_); trivial. % 0.92/1.10 (* end of lemma zenon_L673_ *) % 0.92/1.10 assert (zenon_L674_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c3_1 (a917)) -> (c1_1 (a917)) -> (~(c2_1 (a917))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H166 zenon_H141 zenon_H13d zenon_H1d5 zenon_H60 zenon_H5f zenon_H5e zenon_H250 zenon_H24f zenon_H258 zenon_Hcf zenon_Hce zenon_Hcd zenon_H120 zenon_H122 zenon_H129 zenon_H86 zenon_H89 zenon_H14f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.10 apply (zenon_L130_); trivial. % 0.92/1.10 apply (zenon_L673_); trivial. % 0.92/1.10 (* end of lemma zenon_L674_ *) % 0.92/1.10 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H166 zenon_H141 zenon_H13d zenon_Ha8 zenon_H129 zenon_H120 zenon_H122 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H258 zenon_H24f zenon_H250 zenon_H1d5 zenon_H14f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H166). zenon_intro zenon_H12. zenon_intro zenon_H167. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H167). zenon_intro zenon_H15e. zenon_intro zenon_H168. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_H15f. zenon_intro zenon_H15d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.10 apply (zenon_L130_); trivial. % 0.92/1.10 apply (zenon_L492_); trivial. % 0.92/1.10 (* end of lemma zenon_L675_ *) % 0.92/1.10 assert (zenon_L676_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> (~(hskp11)) -> ((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(c3_1 X38)))))\/((hskp11)\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> (~(c0_1 (a909))) -> (c1_1 (a909)) -> (~(c3_1 (a909))) -> (~(c2_1 (a905))) -> (~(c0_1 (a905))) -> (c3_1 (a905)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hbd zenon_H38 zenon_H2d zenon_H23b zenon_H35 zenon_Hbb zenon_Hb9 zenon_H22f zenon_H230 zenon_H231 zenon_H15b zenon_H16d zenon_H16c zenon_H23c zenon_H14f zenon_H1d5 zenon_H250 zenon_H24f zenon_H258 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H122 zenon_H120 zenon_H129 zenon_Ha8 zenon_H13d zenon_H141 zenon_H169. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.92/1.10 apply (zenon_L660_); trivial. % 0.92/1.10 apply (zenon_L675_); trivial. % 0.92/1.10 apply (zenon_L381_); trivial. % 0.92/1.10 (* end of lemma zenon_L676_ *) % 0.92/1.10 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> (c1_1 (a908)) -> (~(c3_1 (a908))) -> (~(c2_1 (a908))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H13c zenon_Ha8 zenon_H205 zenon_H209 zenon_Hf5 zenon_Hf4 zenon_Hf3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H12. zenon_intro zenon_H13e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13e). zenon_intro zenon_H133. zenon_intro zenon_H13f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H13f). zenon_intro zenon_H134. zenon_intro zenon_H135. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H9e | zenon_intro zenon_H5d ]. % 0.92/1.10 apply (zenon_L73_); trivial. % 0.92/1.10 apply (zenon_L309_); trivial. % 0.92/1.10 (* end of lemma zenon_L677_ *) % 0.92/1.10 assert (zenon_L678_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> (c3_1 (a914)) -> (c0_1 (a914)) -> (~(c2_1 (a914))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H35 zenon_Hbb zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H1bc zenon_H1db zenon_Hb9 zenon_H1ab zenon_H5 zenon_H3 zenon_H169 zenon_H15b zenon_Hc4 zenon_Hc3 zenon_Hc2 zenon_H67 zenon_H1f zenon_H178 zenon_H268 zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_H38 zenon_Hb8 zenon_H1da zenon_H1a2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L510_); trivial. % 0.92/1.10 apply (zenon_L400_); trivial. % 0.92/1.10 (* end of lemma zenon_L678_ *) % 0.92/1.10 assert (zenon_L679_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/((hskp6)\/(hskp14))) -> (~(hskp6)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall X7 : zenon_U, ((ndr1_0)->((c3_1 X7)\/((~(c1_1 X7))\/(~(c2_1 X7)))))))) -> (~(c0_1 (a901))) -> (~(c1_1 (a901))) -> (~(c3_1 (a901))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a926))/\((c2_1 (a926))/\(~(c3_1 (a926))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (ndr1_0) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H103 zenon_Hc0 zenon_Hbb zenon_Hb9 zenon_H141 zenon_H209 zenon_H14f zenon_H18c zenon_H183 zenon_H182 zenon_H181 zenon_H5 zenon_H3 zenon_Hf zenon_H19d zenon_H57 zenon_H11a zenon_H258 zenon_H24f zenon_H250 zenon_H268 zenon_Hb3 zenon_H38 zenon_Hb8 zenon_H1a2 zenon_H21b zenon_H1da zenon_H178 zenon_H1f zenon_H67 zenon_H15b zenon_H169 zenon_H1ab zenon_H1db zenon_H1bc zenon_H4c zenon_H35 zenon_H30 zenon_H12 zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c zenon_Ha8 zenon_Hf2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L393_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.10 apply (zenon_L107_); trivial. % 0.92/1.10 apply (zenon_L677_); trivial. % 0.92/1.10 apply (zenon_L535_); trivial. % 0.92/1.10 apply (zenon_L400_); trivial. % 0.92/1.10 apply (zenon_L678_); trivial. % 0.92/1.10 apply (zenon_L74_); trivial. % 0.92/1.10 (* end of lemma zenon_L679_ *) % 0.92/1.10 assert (zenon_L680_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H5 zenon_H3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_Hb8 zenon_H1a2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L517_); trivial. % 0.92/1.10 apply (zenon_L400_); trivial. % 0.92/1.10 (* end of lemma zenon_L680_ *) % 0.92/1.10 assert (zenon_L681_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921))))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> ((hskp12)\/((hskp13)\/(hskp21))) -> (~(hskp12)) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H4c zenon_Hc0 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H22f zenon_H230 zenon_H231 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H23c zenon_H18c zenon_H5 zenon_H3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_Hb8 zenon_H1a2 zenon_Hf zenon_H9 zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_H38. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L193_); trivial. % 0.92/1.10 apply (zenon_L680_); trivial. % 0.92/1.10 (* end of lemma zenon_L681_ *) % 0.92/1.10 assert (zenon_L682_ : ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (c1_1 (a937)) -> (forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))) -> (~(c2_1 (a937))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H1bf zenon_H5d zenon_H1bd zenon_H12 zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H22e | zenon_intro zenon_H23e ]. % 0.92/1.10 apply (zenon_L378_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H9e | zenon_intro zenon_H1e ]. % 0.92/1.10 apply (zenon_L256_); trivial. % 0.92/1.10 exact (zenon_H1d zenon_H1e). % 0.92/1.10 (* end of lemma zenon_L682_ *) % 0.92/1.10 assert (zenon_L683_ : ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (c2_1 (a910)) -> (~(c3_1 (a910))) -> (~(c1_1 (a910))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (c1_1 (a937)) -> (~(c2_1 (a937))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d5 zenon_Hcf zenon_Hce zenon_Hcd zenon_H1ce zenon_H1cd zenon_H1cc zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H1bf zenon_H1bd zenon_H12 zenon_H1d. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H6e | zenon_intro zenon_H1d6 ]. % 0.92/1.10 apply (zenon_L57_); trivial. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1d6); [ zenon_intro zenon_H1cb | zenon_intro zenon_H5d ]. % 0.92/1.10 apply (zenon_L183_); trivial. % 0.92/1.10 apply (zenon_L682_); trivial. % 0.92/1.10 (* end of lemma zenon_L683_ *) % 0.92/1.10 assert (zenon_L684_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(c2_1 (a908))) -> (~(c3_1 (a908))) -> (c1_1 (a908)) -> (~(hskp16)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp16))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a936))) -> (~(c3_1 (a936))) -> (~(c2_1 (a936))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> (~(c2_1 (a914))) -> (c0_1 (a914)) -> (c3_1 (a914)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(hskp12)) -> (~(hskp13)) -> ((hskp12)\/((hskp13)\/(hskp21))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d7 zenon_H38 zenon_H35 zenon_H141 zenon_Hf3 zenon_Hf4 zenon_Hf5 zenon_H205 zenon_H209 zenon_H268 zenon_H191 zenon_H190 zenon_H18f zenon_H250 zenon_H24f zenon_H258 zenon_H14f zenon_Hc2 zenon_Hc3 zenon_Hc4 zenon_Ha8 zenon_H13d zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H1d5 zenon_H9 zenon_Hb zenon_Hf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_L7_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_L683_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f). zenon_intro zenon_H12. zenon_intro zenon_H31. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H31). zenon_intro zenon_H24. zenon_intro zenon_H32. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H25. zenon_intro zenon_H26. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.10 apply (zenon_L526_); trivial. % 0.92/1.10 apply (zenon_L549_); trivial. % 0.92/1.10 (* end of lemma zenon_L684_ *) % 0.92/1.10 assert (zenon_L685_ : ((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(hskp5)) -> (c3_1 (a923)) -> (~(c1_1 (a923))) -> (~(c0_1 (a923))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1d7 zenon_H35 zenon_Hbb zenon_Hb9 zenon_H50 zenon_H4f zenon_H4e zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H1d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.10 apply (zenon_L683_); trivial. % 0.92/1.10 apply (zenon_L50_); trivial. % 0.92/1.10 (* end of lemma zenon_L685_ *) % 0.92/1.10 assert (zenon_L686_ : ((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923)))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(c0_1 (a912))) -> (c1_1 (a912)) -> (c2_1 (a912)) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> (~(c0_1 (a921))) -> (~(c3_1 (a921))) -> (c2_1 (a921)) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hbd zenon_H1da zenon_H35 zenon_Hbb zenon_Hcd zenon_Hce zenon_Hcf zenon_H1cc zenon_H1cd zenon_H1ce zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H1d5 zenon_H1ab zenon_H183 zenon_H182 zenon_H181 zenon_H3a zenon_H3b zenon_H3c zenon_Hb9 zenon_H1db zenon_H1bc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.10 apply (zenon_L189_); trivial. % 0.92/1.10 apply (zenon_L685_); trivial. % 0.92/1.10 (* end of lemma zenon_L686_ *) % 0.92/1.10 assert (zenon_L687_ : ((ndr1_0)/\((c2_1 (a921))/\((~(c0_1 (a921)))/\(~(c3_1 (a921)))))) -> ((~(hskp14))\/((ndr1_0)/\((c3_1 (a923))/\((~(c0_1 (a923)))/\(~(c1_1 (a923))))))) -> ((~(hskp18))\/((ndr1_0)/\((c1_1 (a937))/\((~(c0_1 (a937)))/\(~(c2_1 (a937))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X16 : zenon_U, ((ndr1_0)->((c0_1 X16)\/((c1_1 X16)\/(~(c3_1 X16))))))\/((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/(hskp5))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp18)\/(hskp19))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c0_1 X26)\/((~(c2_1 X26))\/(~(c3_1 X26))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c2_1 (a938))/\((c3_1 (a938))/\(~(c0_1 (a938))))))) -> ((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/((hskp12)\/(hskp17))) -> (~(hskp12)) -> (c0_1 (a904)) -> (~(c2_1 (a904))) -> (~(c1_1 (a904))) -> ((hskp20)\/((hskp14)\/(hskp4))) -> (~(hskp4)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c1_1 X9)\/(c3_1 X9)))))\/((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c2_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (c2_1 (a912)) -> (c1_1 (a912)) -> (~(c0_1 (a912))) -> (~(c3_1 (a901))) -> (~(c1_1 (a901))) -> (~(c0_1 (a901))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c3_1 Y)\/(~(c2_1 Y))))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((c3_1 Z)\/(~(c0_1 Z)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a939))/\((~(c1_1 (a939)))/\(~(c3_1 (a939))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c1_1 (a936)))/\((~(c2_1 (a936)))/\(~(c3_1 (a936))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H49 zenon_Hc0 zenon_H1da zenon_H35 zenon_Hbb zenon_H1cc zenon_H1cd zenon_H1ce zenon_H23c zenon_H231 zenon_H230 zenon_H22f zenon_H1d5 zenon_H1ab zenon_Hb9 zenon_H1db zenon_H1bc zenon_H18c zenon_H9 zenon_H183 zenon_H182 zenon_H181 zenon_H5 zenon_H3 zenon_H266 zenon_Hcf zenon_Hce zenon_Hcd zenon_H250 zenon_H24f zenon_H258 zenon_Hb3 zenon_Hb8 zenon_H1a2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L517_); trivial. % 0.92/1.10 apply (zenon_L686_); trivial. % 0.92/1.10 (* end of lemma zenon_L687_ *) % 0.92/1.10 assert (zenon_L688_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c2_1 (a907))) -> (c1_1 (a907)) -> (~(hskp10)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> (~(c1_1 (a904))) -> (~(c2_1 (a904))) -> (c0_1 (a904)) -> (~(hskp9)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X22 : zenon_U, ((ndr1_0)->((c1_1 X22)\/((c2_1 X22)\/(~(c0_1 X22))))))\/(hskp9))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H103 zenon_H178 zenon_H15b zenon_H169 zenon_H38 zenon_H21 zenon_H23c zenon_H16c zenon_H16d zenon_H1f zenon_H67 zenon_H231 zenon_H230 zenon_H22f zenon_H12 zenon_H30 zenon_H35 zenon_H181 zenon_H182 zenon_H183 zenon_H1a3 zenon_H1a5 zenon_Hf2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L656_); trivial. % 0.92/1.10 apply (zenon_L171_); trivial. % 0.92/1.10 apply (zenon_L564_); trivial. % 0.92/1.10 (* end of lemma zenon_L688_ *) % 0.92/1.10 assert (zenon_L689_ : ((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> (~(c3_1 (a906))) -> (c0_1 (a906)) -> (c2_1 (a906)) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c3_1 X6)\/((~(c0_1 X6))\/(~(c2_1 X6))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a910))) -> (~(c3_1 (a910))) -> (c2_1 (a910)) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_Hee zenon_H103 zenon_H141 zenon_H108 zenon_H109 zenon_H10a zenon_H16a zenon_H14f zenon_H35 zenon_H30 zenon_H1cc zenon_H1cd zenon_H1ce zenon_H23c zenon_H16d zenon_H16c zenon_H231 zenon_H230 zenon_H22f zenon_H1d5 zenon_Hf2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L665_); trivial. % 0.92/1.10 apply (zenon_L282_); trivial. % 0.92/1.10 (* end of lemma zenon_L689_ *) % 0.92/1.10 assert (zenon_L690_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a912))/\((c2_1 (a912))/\(~(c0_1 (a912))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> (c3_1 (a905)) -> (~(hskp8)) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((~(c1_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> (~(c1_1 (a902))) -> (c0_1 (a902)) -> (c2_1 (a902)) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp10)\/(hskp21))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> ((forall X10 : zenon_U, ((ndr1_0)->((c0_1 X10)\/((c2_1 X10)\/(c3_1 X10)))))\/((hskp27)\/(hskp10))) -> ((~(hskp21))\/((ndr1_0)/\((~(c0_1 (a946)))/\((~(c2_1 (a946)))/\(~(c3_1 (a946))))))) -> ((~(hskp25))\/((ndr1_0)/\((c0_1 (a960))/\((c3_1 (a960))/\(~(c1_1 (a960))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))\/((hskp25)\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp21))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1dd zenon_Hf1 zenon_Hf2 zenon_H13d zenon_H1d5 zenon_H120 zenon_H122 zenon_H129 zenon_H86 zenon_H89 zenon_H35 zenon_H30 zenon_H22f zenon_H230 zenon_H231 zenon_H67 zenon_H16d zenon_H16c zenon_H23c zenon_H21 zenon_H38 zenon_H169 zenon_H15b zenon_H178 zenon_H14f zenon_H141 zenon_H103. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L656_); trivial. % 0.92/1.10 apply (zenon_L292_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.10 apply (zenon_L360_); trivial. % 0.92/1.10 apply (zenon_L293_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L665_); trivial. % 0.92/1.10 apply (zenon_L302_); trivial. % 0.92/1.10 (* end of lemma zenon_L690_ *) % 0.92/1.10 assert (zenon_L691_ : ((ndr1_0)/\((c2_1 (a910))/\((~(c1_1 (a910)))/\(~(c3_1 (a910)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a914))/\((c3_1 (a914))/\(~(c2_1 (a914))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a916))/\((c1_1 (a916))/\(c3_1 (a916)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c2_1 V)\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((~(c0_1 W))\/((~(c1_1 W))\/(~(c3_1 W)))))))) -> (c3_1 (a905)) -> (~(c0_1 (a905))) -> (~(c2_1 (a905))) -> ((forall X41 : zenon_U, ((ndr1_0)->((c1_1 X41)\/((~(c0_1 X41))\/(~(c3_1 X41))))))\/(hskp28)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a900))/\((c2_1 (a900))/\(c3_1 (a900)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((~(c1_1 X17))\/((~(c2_1 X17))\/(~(c3_1 X17))))))\/((hskp11)\/(hskp12))) -> ((forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))\/((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(hskp27))) -> (~(c3_1 (a909))) -> (c1_1 (a909)) -> (~(c0_1 (a909))) -> (c2_1 (a902)) -> (c0_1 (a902)) -> (~(c1_1 (a902))) -> (c1_1 (a907)) -> (~(c2_1 (a907))) -> ((forall X13 : zenon_U, ((ndr1_0)->((c0_1 X13)\/((~(c1_1 X13))\/(~(c2_1 X13))))))\/((forall X30 : zenon_U, ((ndr1_0)->((c1_1 X30)\/((c3_1 X30)\/(~(c2_1 X30))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31)))))))) -> ((forall X51 : zenon_U, ((ndr1_0)->((c2_1 X51)\/((c3_1 X51)\/(~(c1_1 X51))))))\/(forall X31 : zenon_U, ((ndr1_0)->((c2_1 X31)\/((~(c1_1 X31))\/(~(c3_1 X31))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a917))/\((c3_1 (a917))/\(~(c2_1 (a917))))))) -> False). % 0.92/1.10 do 0 intro. intros zenon_H1dd zenon_H103 zenon_H141 zenon_H13d zenon_H129 zenon_H120 zenon_H122 zenon_H14f zenon_H35 zenon_H30 zenon_H23c zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H231 zenon_H230 zenon_H22f zenon_H16d zenon_H16c zenon_H1d5 zenon_Ha8 zenon_Hf2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L669_); trivial. % 0.92/1.10 apply (zenon_L305_); trivial. % 0.92/1.10 (* end of lemma zenon_L691_ *) % 0.92/1.10 apply NNPP. intro zenon_G. % 0.92/1.10 apply zenon_G. zenon_intro zenon_H278. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H278). zenon_intro zenon_H27a. zenon_intro zenon_H279. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H279). zenon_intro zenon_H27c. zenon_intro zenon_H27b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H27b). zenon_intro zenon_H27e. zenon_intro zenon_H27d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H27d). zenon_intro zenon_H280. zenon_intro zenon_H27f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H27f). zenon_intro zenon_H282. zenon_intro zenon_H281. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H281). zenon_intro zenon_H284. zenon_intro zenon_H283. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H283). zenon_intro zenon_H286. zenon_intro zenon_H285. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H285). zenon_intro zenon_H222. zenon_intro zenon_H287. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H287). zenon_intro zenon_Hff. zenon_intro zenon_H288. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H288). zenon_intro zenon_H1e7. zenon_intro zenon_H289. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H289). zenon_intro zenon_Hf1. zenon_intro zenon_H28a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H28a). zenon_intro zenon_H103. zenon_intro zenon_H28b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H28b). zenon_intro zenon_Hf2. zenon_intro zenon_H28c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H28c). zenon_intro zenon_H4c. zenon_intro zenon_H28d. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H28d). zenon_intro zenon_Hc0. zenon_intro zenon_H28e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H28e). zenon_intro zenon_H9d. zenon_intro zenon_H28f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_H21b. zenon_intro zenon_H290. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H1a2. zenon_intro zenon_H291. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H1da. zenon_intro zenon_H292. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H1bc. zenon_intro zenon_H293. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_Hb8. zenon_intro zenon_H294. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H294). zenon_intro zenon_H38. zenon_intro zenon_H295. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H295). zenon_intro zenon_H297. zenon_intro zenon_H296. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H296). zenon_intro zenon_H8d. zenon_intro zenon_H298. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H298). zenon_intro zenon_H29a. zenon_intro zenon_H299. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H299). zenon_intro zenon_H169. zenon_intro zenon_H29b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H29b). zenon_intro zenon_H29d. zenon_intro zenon_H29c. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H29c). zenon_intro zenon_H35. zenon_intro zenon_H29e. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H29e). zenon_intro zenon_H141. zenon_intro zenon_H29f. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H29f). zenon_intro zenon_H201. zenon_intro zenon_H2a0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a0). zenon_intro zenon_H2a2. zenon_intro zenon_H2a1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a1). zenon_intro zenon_H13d. zenon_intro zenon_H2a3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a3). zenon_intro zenon_Hb3. zenon_intro zenon_H2a4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a4). zenon_intro zenon_H21f. zenon_intro zenon_H2a5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a5). zenon_intro zenon_H17e. zenon_intro zenon_H2a6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a6). zenon_intro zenon_H11a. zenon_intro zenon_H2a7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a7). zenon_intro zenon_H1e2. zenon_intro zenon_H2a8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a8). zenon_intro zenon_H268. zenon_intro zenon_H2a9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2a9). zenon_intro zenon_H266. zenon_intro zenon_H2aa. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H8e. zenon_intro zenon_H2ab. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_Hbb. zenon_intro zenon_H2ac. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ac). zenon_intro zenon_H5b. zenon_intro zenon_H2ad. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H89. zenon_intro zenon_H2ae. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ae). zenon_intro zenon_H1a5. zenon_intro zenon_H2af. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H21. zenon_intro zenon_H2b0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b0). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H1db. zenon_intro zenon_H2b3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H11e. zenon_intro zenon_H2b4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b4). zenon_intro zenon_H47. zenon_intro zenon_H2b5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H1d5. zenon_intro zenon_H2b6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H7a. zenon_intro zenon_H2b7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H145. zenon_intro zenon_H2b8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H2ba. zenon_intro zenon_H2b9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H207. zenon_intro zenon_H2bb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H1b7. zenon_intro zenon_H2bc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H23b. zenon_intro zenon_H2bd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_H2bf. zenon_intro zenon_H2be. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H1f1. zenon_intro zenon_H2c0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c2. zenon_intro zenon_H2c1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H18c. zenon_intro zenon_H2c3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H1ab. zenon_intro zenon_H2c4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c6. zenon_intro zenon_H2c5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H1fc. zenon_intro zenon_H2c7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H2c9. zenon_intro zenon_H2c8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H23c. zenon_intro zenon_H2ca. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H243. zenon_intro zenon_H2cb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H178. zenon_intro zenon_H2cc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H17c. zenon_intro zenon_H2cd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H14f. zenon_intro zenon_H2ce. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H2d0. zenon_intro zenon_H2cf. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H19d. zenon_intro zenon_H2d3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H1e0. zenon_intro zenon_H2d4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Ha8. zenon_intro zenon_H2d5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H16a. zenon_intro zenon_H2d6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H209. zenon_intro zenon_H2d7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H2d9. zenon_intro zenon_H2d8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2db. zenon_intro zenon_H2da. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H2dd. zenon_intro zenon_H2dc. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H2df. zenon_intro zenon_H2de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_Hcb. zenon_intro zenon_H2e0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H15b. zenon_intro zenon_H2e1. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H67. zenon_intro zenon_H2e2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_H2e4. zenon_intro zenon_H2e3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H2e6. zenon_intro zenon_H2e5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H6d. zenon_intro zenon_H2e9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_H30. zenon_intro zenon_H2ea. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H5. zenon_intro zenon_Hf. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H45 | zenon_intro zenon_H2ed ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H17a | zenon_intro zenon_H2ee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H43 | zenon_intro zenon_H2ef ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H78 | zenon_intro zenon_H2f0 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L23_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.10 apply (zenon_L54_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_L56_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_L59_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_L70_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_L76_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L88_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L90_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L103_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L140_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L144_); trivial. % 0.92/1.10 apply (zenon_L22_); trivial. % 0.92/1.10 apply (zenon_L121_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 apply (zenon_L149_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L136_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L144_); trivial. % 0.92/1.10 apply (zenon_L159_); trivial. % 0.92/1.10 apply (zenon_L121_); trivial. % 0.92/1.10 apply (zenon_L69_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H12. zenon_intro zenon_H2f4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H183. zenon_intro zenon_H2f5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L173_); trivial. % 0.92/1.10 apply (zenon_L192_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L205_); trivial. % 0.92/1.10 apply (zenon_L74_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L207_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L205_); trivial. % 0.92/1.10 apply (zenon_L208_); trivial. % 0.92/1.10 apply (zenon_L218_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L23_); trivial. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L228_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 apply (zenon_L237_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L217_); trivial. % 0.92/1.10 apply (zenon_L237_); trivial. % 0.92/1.10 apply (zenon_L218_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L264_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L269_); trivial. % 0.92/1.10 apply (zenon_L218_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L23_); trivial. % 0.92/1.10 apply (zenon_L254_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L236_); trivial. % 0.92/1.10 apply (zenon_L275_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L203_); trivial. % 0.92/1.10 apply (zenon_L280_); trivial. % 0.92/1.10 apply (zenon_L208_); trivial. % 0.92/1.10 apply (zenon_L282_); trivial. % 0.92/1.10 apply (zenon_L289_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L269_); trivial. % 0.92/1.10 apply (zenon_L289_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L291_); trivial. % 0.92/1.10 apply (zenon_L295_); trivial. % 0.92/1.10 apply (zenon_L298_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L299_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L294_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L265_); trivial. % 0.92/1.10 apply (zenon_L302_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 apply (zenon_L319_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 apply (zenon_L321_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L222_); trivial. % 0.92/1.10 apply (zenon_L327_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 apply (zenon_L321_); trivial. % 0.92/1.10 apply (zenon_L329_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L264_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L269_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L330_); trivial. % 0.92/1.10 apply (zenon_L319_); trivial. % 0.92/1.10 apply (zenon_L335_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H12. zenon_intro zenon_H2f6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H227. zenon_intro zenon_H2f7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H78 | zenon_intro zenon_H2f0 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L338_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L342_); trivial. % 0.92/1.10 apply (zenon_L343_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L65_); trivial. % 0.92/1.10 apply (zenon_L204_); trivial. % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 apply (zenon_L343_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L348_); trivial. % 0.92/1.10 apply (zenon_L350_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L346_); trivial. % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 apply (zenon_L352_); trivial. % 0.92/1.10 apply (zenon_L350_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L353_); trivial. % 0.92/1.10 apply (zenon_L355_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 apply (zenon_L352_); trivial. % 0.92/1.10 apply (zenon_L355_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_L356_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L357_); trivial. % 0.92/1.10 apply (zenon_L361_); trivial. % 0.92/1.10 apply (zenon_L364_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L365_); trivial. % 0.92/1.10 apply (zenon_L89_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L351_); trivial. % 0.92/1.10 apply (zenon_L89_); trivial. % 0.92/1.10 apply (zenon_L364_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L338_); trivial. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L103_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L366_); trivial. % 0.92/1.10 apply (zenon_L349_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_L356_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L136_); trivial. % 0.92/1.10 apply (zenon_L368_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L122_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_L339_); trivial. % 0.92/1.10 apply (zenon_L63_); trivial. % 0.92/1.10 apply (zenon_L367_); trivial. % 0.92/1.10 apply (zenon_L121_); trivial. % 0.92/1.10 apply (zenon_L368_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H12. zenon_intro zenon_H2f4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H183. zenon_intro zenon_H2f5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L338_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 apply (zenon_L370_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L197_); trivial. % 0.92/1.10 apply (zenon_L372_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L365_); trivial. % 0.92/1.10 apply (zenon_L190_); trivial. % 0.92/1.10 apply (zenon_L361_); trivial. % 0.92/1.10 apply (zenon_L374_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_L235_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_L375_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_L376_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L338_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L330_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L148_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L369_); trivial. % 0.92/1.10 apply (zenon_L267_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L365_); trivial. % 0.92/1.10 apply (zenon_L254_); trivial. % 0.92/1.10 apply (zenon_L361_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L377_); trivial. % 0.92/1.10 apply (zenon_L280_); trivial. % 0.92/1.10 apply (zenon_L208_); trivial. % 0.92/1.10 apply (zenon_L282_); trivial. % 0.92/1.10 apply (zenon_L289_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L373_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L148_); trivial. % 0.92/1.10 apply (zenon_L334_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H12. zenon_intro zenon_H2f8. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H230. zenon_intro zenon_H2f9. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H231. zenon_intro zenon_H22f. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H43 | zenon_intro zenon_H2ef ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H78 | zenon_intro zenon_H2f0 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L72_); trivial. % 0.92/1.10 apply (zenon_L383_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_L75_); trivial. % 0.92/1.10 apply (zenon_L81_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L88_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L90_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_L149_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L388_); trivial. % 0.92/1.10 apply (zenon_L391_); trivial. % 0.92/1.10 apply (zenon_L119_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L140_); trivial. % 0.92/1.10 apply (zenon_L391_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H12. zenon_intro zenon_H2f4. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H183. zenon_intro zenon_H2f5. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L398_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_L192_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L393_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L401_); trivial. % 0.92/1.10 apply (zenon_L74_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L264_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L388_); trivial. % 0.92/1.10 apply (zenon_L298_); trivial. % 0.92/1.10 apply (zenon_L402_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L253_); trivial. % 0.92/1.10 apply (zenon_L295_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.10 apply (zenon_L253_); trivial. % 0.92/1.10 apply (zenon_L405_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H12. zenon_intro zenon_H2f6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H227. zenon_intro zenon_H2f7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L338_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L337_); trivial. % 0.92/1.10 apply (zenon_L400_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_L338_); trivial. % 0.92/1.10 apply (zenon_L394_); trivial. % 0.92/1.10 apply (zenon_L385_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H12. zenon_intro zenon_H2fa. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H258. zenon_intro zenon_H2fb. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H24f. zenon_intro zenon_H250. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_H17a | zenon_intro zenon_H2ee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H43 | zenon_intro zenon_H2ef ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H78 | zenon_intro zenon_H2f0 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L423_); trivial. % 0.92/1.10 apply (zenon_L77_); trivial. % 0.92/1.10 apply (zenon_L425_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L431_); trivial. % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L438_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L117_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L444_); trivial. % 0.92/1.10 apply (zenon_L74_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L449_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L58_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_H6 | zenon_intro zenon_Hb5 ]. % 0.92/1.10 apply (zenon_L3_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb5). zenon_intro zenon_H12. zenon_intro zenon_Hb6. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb6). zenon_intro zenon_Hac. zenon_intro zenon_Hb7. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hb7). zenon_intro zenon_Haa. zenon_intro zenon_Hab. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.10 apply (zenon_L441_); trivial. % 0.92/1.10 apply (zenon_L447_); trivial. % 0.92/1.10 apply (zenon_L40_); trivial. % 0.92/1.10 apply (zenon_L443_); trivial. % 0.92/1.10 apply (zenon_L74_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L71_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L422_); trivial. % 0.92/1.10 apply (zenon_L452_); trivial. % 0.92/1.10 apply (zenon_L77_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L456_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.10 apply (zenon_L459_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.10 apply (zenon_L430_); trivial. % 0.92/1.10 apply (zenon_L452_); trivial. % 0.92/1.10 apply (zenon_L68_); trivial. % 0.92/1.10 apply (zenon_L78_); trivial. % 0.92/1.10 apply (zenon_L456_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L198_); trivial. % 0.92/1.10 apply (zenon_L461_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L117_); trivial. % 0.92/1.10 apply (zenon_L461_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L462_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.10 apply (zenon_L463_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.10 apply (zenon_L464_); trivial. % 0.92/1.10 apply (zenon_L89_); trivial. % 0.92/1.10 apply (zenon_L139_); trivial. % 0.92/1.10 apply (zenon_L149_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.10 apply (zenon_L468_); trivial. % 0.92/1.10 apply (zenon_L470_); trivial. % 0.92/1.10 apply (zenon_L482_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.10 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.10 apply (zenon_L486_); trivial. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.10 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L100_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_L29_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H34). zenon_intro zenon_H12. zenon_intro zenon_H36. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H36). zenon_intro zenon_H14. zenon_intro zenon_H37. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H37). zenon_intro zenon_H15. zenon_intro zenon_H16. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.11 apply (zenon_L12_); trivial. % 0.92/1.11 apply (zenon_L488_); trivial. % 0.92/1.11 apply (zenon_L489_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_L119_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L486_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L100_); trivial. % 0.92/1.11 apply (zenon_L491_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_L493_); trivial. % 0.92/1.11 apply (zenon_L491_); trivial. % 0.92/1.11 apply (zenon_L119_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L495_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L122_); trivial. % 0.92/1.11 apply (zenon_L496_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_L498_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L495_); trivial. % 0.92/1.11 apply (zenon_L506_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H12. zenon_intro zenon_H2f4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H183. zenon_intro zenon_H2f5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L172_); trivial. % 0.92/1.11 apply (zenon_L513_); trivial. % 0.92/1.11 apply (zenon_L525_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L191_); trivial. % 0.92/1.11 apply (zenon_L537_); trivial. % 0.92/1.11 apply (zenon_L538_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L168_); trivial. % 0.92/1.11 apply (zenon_L539_); trivial. % 0.92/1.11 apply (zenon_L541_); trivial. % 0.92/1.11 apply (zenon_L542_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L543_); trivial. % 0.92/1.11 apply (zenon_L537_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L544_); trivial. % 0.92/1.11 apply (zenon_L525_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L544_); trivial. % 0.92/1.11 apply (zenon_L538_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L198_); trivial. % 0.92/1.11 apply (zenon_L513_); trivial. % 0.92/1.11 apply (zenon_L542_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L198_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L545_); trivial. % 0.92/1.11 apply (zenon_L437_); trivial. % 0.92/1.11 apply (zenon_L512_); trivial. % 0.92/1.11 apply (zenon_L233_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.11 apply (zenon_L315_); trivial. % 0.92/1.11 apply (zenon_L535_); trivial. % 0.92/1.11 apply (zenon_L548_); trivial. % 0.92/1.11 apply (zenon_L115_); trivial. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L554_); trivial. % 0.92/1.11 apply (zenon_L548_); trivial. % 0.92/1.11 apply (zenon_L208_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L570_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L17_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.11 apply (zenon_L189_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_L558_); trivial. % 0.92/1.11 apply (zenon_L201_); trivial. % 0.92/1.11 apply (zenon_L563_); trivial. % 0.92/1.11 apply (zenon_L190_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L579_); trivial. % 0.92/1.11 apply (zenon_L208_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L570_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L581_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.11 apply (zenon_L582_); trivial. % 0.92/1.11 apply (zenon_L563_); trivial. % 0.92/1.11 apply (zenon_L233_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_L583_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L207_); trivial. % 0.92/1.11 apply (zenon_L461_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L584_); trivial. % 0.92/1.11 apply (zenon_L587_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_L597_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L602_); trivial. % 0.92/1.11 apply (zenon_L268_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L603_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L148_); trivial. % 0.92/1.11 apply (zenon_L606_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L602_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L601_); trivial. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L610_); trivial. % 0.92/1.11 apply (zenon_L611_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L613_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L581_); trivial. % 0.92/1.11 apply (zenon_L333_); trivial. % 0.92/1.11 apply (zenon_L233_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L603_); trivial. % 0.92/1.11 apply (zenon_L614_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L323_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_L319_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L322_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_L583_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L624_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_L625_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_L597_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L620_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L497_); trivial. % 0.92/1.11 apply (zenon_L606_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L619_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L294_); trivial. % 0.92/1.11 apply (zenon_L611_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L613_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L100_); trivial. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L610_); trivial. % 0.92/1.11 apply (zenon_L626_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L624_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L613_); trivial. % 0.92/1.11 apply (zenon_L625_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H12. zenon_intro zenon_H2f6. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H227. zenon_intro zenon_H2f7. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H225. zenon_intro zenon_H226. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H78 | zenon_intro zenon_H2f0 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_L634_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L637_); trivial. % 0.92/1.11 apply (zenon_L629_); trivial. % 0.92/1.11 apply (zenon_L638_); trivial. % 0.92/1.11 apply (zenon_L632_); trivial. % 0.92/1.11 apply (zenon_L640_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H12. zenon_intro zenon_H2f4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H183. zenon_intro zenon_H2f5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_L634_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L643_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L628_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.11 apply (zenon_L641_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H21c). zenon_intro zenon_H12. zenon_intro zenon_H21d. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_H20d. zenon_intro zenon_H21e. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H21e). zenon_intro zenon_H20c. zenon_intro zenon_H20b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.11 apply (zenon_L189_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H12. zenon_intro zenon_H1d8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d8). zenon_intro zenon_H1bf. zenon_intro zenon_H1d9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1d9). zenon_intro zenon_H1be. zenon_intro zenon_H1bd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_L642_); trivial. % 0.92/1.11 apply (zenon_L16_); trivial. % 0.92/1.11 apply (zenon_L190_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_L632_); trivial. % 0.92/1.11 apply (zenon_L644_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_L646_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L648_); trivial. % 0.92/1.11 apply (zenon_L171_); trivial. % 0.92/1.11 apply (zenon_L251_); trivial. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L648_); trivial. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L610_); trivial. % 0.92/1.11 apply (zenon_L632_); trivial. % 0.92/1.11 apply (zenon_L645_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H12. zenon_intro zenon_H2f8. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H230. zenon_intro zenon_H2f9. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H231. zenon_intro zenon_H22f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H78 | zenon_intro zenon_H2f0 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L423_); trivial. % 0.92/1.11 apply (zenon_L383_); trivial. % 0.92/1.11 apply (zenon_L425_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L403_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L67_); trivial. % 0.92/1.11 apply (zenon_L651_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L393_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L71_); trivial. % 0.92/1.11 apply (zenon_L653_); trivial. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L393_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_L653_); trivial. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L65_); trivial. % 0.92/1.11 apply (zenon_L654_); trivial. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_L654_); trivial. % 0.92/1.11 apply (zenon_L74_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_L383_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L137_); trivial. % 0.92/1.11 apply (zenon_L659_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L137_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.11 apply (zenon_L662_); trivial. % 0.92/1.11 apply (zenon_L657_); trivial. % 0.92/1.11 apply (zenon_L381_); trivial. % 0.92/1.11 apply (zenon_L40_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L663_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_L666_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L477_); trivial. % 0.92/1.11 apply (zenon_L651_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L650_); trivial. % 0.92/1.11 apply (zenon_L659_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L58_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L650_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H9d); [ zenon_intro zenon_H6b | zenon_intro zenon_H9a ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H8d); [ zenon_intro zenon_H69 | zenon_intro zenon_H88 ]. % 0.92/1.11 apply (zenon_L662_); trivial. % 0.92/1.11 apply (zenon_L667_); trivial. % 0.92/1.11 apply (zenon_L381_); trivial. % 0.92/1.11 apply (zenon_L40_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L669_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_L670_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L462_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L65_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H49). zenon_intro zenon_H12. zenon_intro zenon_H4a. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4a). zenon_intro zenon_H3c. zenon_intro zenon_H4b. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_H3a. zenon_intro zenon_H3b. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L650_); trivial. % 0.92/1.11 apply (zenon_L138_); trivial. % 0.92/1.11 apply (zenon_L89_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_L394_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_L87_); trivial. % 0.92/1.11 apply (zenon_L467_); trivial. % 0.92/1.11 apply (zenon_L470_); trivial. % 0.92/1.11 apply (zenon_L482_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L388_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H1d | zenon_intro zenon_H2f ]. % 0.92/1.11 apply (zenon_L390_); trivial. % 0.92/1.11 apply (zenon_L488_); trivial. % 0.92/1.11 apply (zenon_L138_); trivial. % 0.92/1.11 apply (zenon_L402_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L387_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L671_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L137_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H12. zenon_intro zenon_Hbe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_H50. zenon_intro zenon_Hbf. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_H4e. zenon_intro zenon_H4f. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H169); [ zenon_intro zenon_H159 | zenon_intro zenon_H166 ]. % 0.92/1.11 apply (zenon_L660_); trivial. % 0.92/1.11 apply (zenon_L674_); trivial. % 0.92/1.11 apply (zenon_L381_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_H12. zenon_intro zenon_Hec. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_H5f. zenon_intro zenon_Hed. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_H60. zenon_intro zenon_H5e. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L490_); trivial. % 0.92/1.11 apply (zenon_L676_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_L137_); trivial. % 0.92/1.11 apply (zenon_L676_); trivial. % 0.92/1.11 apply (zenon_L78_); trivial. % 0.92/1.11 apply (zenon_L670_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_L495_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L403_); trivial. % 0.92/1.11 apply (zenon_L121_); trivial. % 0.92/1.11 apply (zenon_L496_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_L402_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_L121_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_Hd | zenon_intro zenon_H34 ]. % 0.92/1.11 apply (zenon_L360_); trivial. % 0.92/1.11 apply (zenon_L125_); trivial. % 0.92/1.11 apply (zenon_L135_); trivial. % 0.92/1.11 apply (zenon_L121_); trivial. % 0.92/1.11 apply (zenon_L494_); trivial. % 0.92/1.11 apply (zenon_L506_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H12. zenon_intro zenon_H2f4. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H183. zenon_intro zenon_H2f5. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H181. zenon_intro zenon_H182. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H3 | zenon_intro zenon_H275 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_Hb9 | zenon_intro zenon_H2f1 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L398_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L540_); trivial. % 0.92/1.11 apply (zenon_L171_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L397_); trivial. % 0.92/1.11 apply (zenon_L190_); trivial. % 0.92/1.11 apply (zenon_L537_); trivial. % 0.92/1.11 apply (zenon_L139_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H104). zenon_intro zenon_H12. zenon_intro zenon_H105. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H105). zenon_intro zenon_Hf5. zenon_intro zenon_H106. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H106). zenon_intro zenon_Hf3. zenon_intro zenon_Hf4. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L679_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L681_); trivial. % 0.92/1.11 apply (zenon_L524_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L679_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_L393_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H100). zenon_intro zenon_H12. zenon_intro zenon_H101. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H101). zenon_intro zenon_Hc3. zenon_intro zenon_H102. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H102). zenon_intro zenon_Hc4. zenon_intro zenon_Hc2. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hc0); [ zenon_intro zenon_H1 | zenon_intro zenon_Hbd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H21b); [ zenon_intro zenon_H205 | zenon_intro zenon_H21c ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_H18a | zenon_intro zenon_H19f ]. % 0.92/1.11 apply (zenon_L162_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H19f). zenon_intro zenon_H12. zenon_intro zenon_H1a0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a0). zenon_intro zenon_H191. zenon_intro zenon_H1a1. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1a1). zenon_intro zenon_H18f. zenon_intro zenon_H190. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1a7 | zenon_intro zenon_H1d7 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H1a9 | zenon_intro zenon_H1b9 ]. % 0.92/1.11 apply (zenon_L176_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H12. zenon_intro zenon_H1ba. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H1af. zenon_intro zenon_H1bb. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1bb). zenon_intro zenon_H1b0. zenon_intro zenon_H1ae. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H141); [ zenon_intro zenon_H11c | zenon_intro zenon_H13c ]. % 0.92/1.11 apply (zenon_L308_); trivial. % 0.92/1.11 apply (zenon_L549_); trivial. % 0.92/1.11 apply (zenon_L684_); trivial. % 0.92/1.11 apply (zenon_L553_); trivial. % 0.92/1.11 apply (zenon_L400_); trivial. % 0.92/1.11 apply (zenon_L687_); trivial. % 0.92/1.11 apply (zenon_L208_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L688_); trivial. % 0.92/1.11 apply (zenon_L569_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_L190_); trivial. % 0.92/1.11 apply (zenon_L576_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_H12. zenon_intro zenon_Hef. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hce. zenon_intro zenon_Hf0. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Hcf. zenon_intro zenon_Hcd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_Hb | zenon_intro zenon_H49 ]. % 0.92/1.11 apply (zenon_L578_); trivial. % 0.92/1.11 apply (zenon_L687_); trivial. % 0.92/1.11 apply (zenon_L208_); trivial. % 0.92/1.11 apply (zenon_L670_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H12. zenon_intro zenon_H2f2. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H109. zenon_intro zenon_H2f3. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H10a. zenon_intro zenon_H108. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_L597_); trivial. % 0.92/1.11 apply (zenon_L394_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L688_); trivial. % 0.92/1.11 apply (zenon_L590_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H12. zenon_intro zenon_H1de. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1ce. zenon_intro zenon_H1df. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H1df). zenon_intro zenon_H1cc. zenon_intro zenon_H1cd. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H103); [ zenon_intro zenon_H2d | zenon_intro zenon_H100 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf2); [ zenon_intro zenon_H9 | zenon_intro zenon_Heb ]. % 0.92/1.11 apply (zenon_L656_); trivial. % 0.92/1.11 apply (zenon_L254_); trivial. % 0.92/1.11 apply (zenon_L610_); trivial. % 0.92/1.11 apply (zenon_L689_); trivial. % 0.92/1.11 apply (zenon_L394_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_H12. zenon_intro zenon_H276. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H129. zenon_intro zenon_H277. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H120. zenon_intro zenon_H122. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H57 | zenon_intro zenon_H221 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H222); [ zenon_intro zenon_H59 | zenon_intro zenon_H104 ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L619_); trivial. % 0.92/1.11 apply (zenon_L295_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_L405_); trivial. % 0.92/1.11 apply (zenon_L402_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H12. zenon_intro zenon_H223. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H223). zenon_intro zenon_H1e8. zenon_intro zenon_H224. % 0.92/1.11 apply (zenon_and_s _ _ zenon_H224). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H86 | zenon_intro zenon_Hfc ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_or_s _ _ zenon_Hf1); [ zenon_intro zenon_H1f | zenon_intro zenon_Hee ]. % 0.92/1.11 apply (zenon_L688_); trivial. % 0.92/1.11 apply (zenon_L618_); trivial. % 0.92/1.11 apply (zenon_L690_); trivial. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfc). zenon_intro zenon_H12. zenon_intro zenon_Hfd. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfd). zenon_intro zenon_Hd7. zenon_intro zenon_Hfe. % 0.92/1.11 apply (zenon_and_s _ _ zenon_Hfe). zenon_intro zenon_Hd6. zenon_intro zenon_Hd8. % 0.92/1.11 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H1a3 | zenon_intro zenon_H1dd ]. % 0.92/1.11 apply (zenon_L623_); trivial. % 0.92/1.11 apply (zenon_L691_); trivial. % 0.92/1.11 Qed. % 0.92/1.11 % SZS output end Proof % 0.92/1.11 (* END-PROOF *) % 0.92/1.11 nodes searched: 28239 % 0.92/1.11 max branch formulas: 414 % 0.92/1.11 proof nodes created: 4865 % 0.92/1.11 formulas created: 29207 % 0.92/1.11 %------------------------------------------------------------------------------