%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN454+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n011.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 13:52:45 EDT 2022 % Result : Theorem 0.63s 0.84s % Output : Proof 0.76s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.09/0.11 % Problem : SYN454+1 : TPTP v8.1.0. Released v2.1.0. % 0.09/0.12 % Command : run_zenon %s %d % 0.12/0.33 % Computer : n011.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Mon Jul 11 11:58:42 EDT 2022 % 0.12/0.33 % CPUTime : % 0.63/0.84 (* PROOF-FOUND *) % 0.63/0.84 % SZS status Theorem % 0.63/0.84 (* BEGIN-PROOF *) % 0.63/0.84 % SZS output start Proof % 0.63/0.84 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((~(c1_1 (a96)))/\((~(c2_1 (a96)))/\(~(c3_1 (a96)))))))/\(((~(hskp1))\/((ndr1_0)/\((c2_1 (a97))/\((c3_1 (a97))/\(~(c1_1 (a97)))))))/\(((~(hskp2))\/((ndr1_0)/\((c1_1 (a98))/\((~(c0_1 (a98)))/\(~(c3_1 (a98)))))))/\(((~(hskp3))\/((ndr1_0)/\((c2_1 (a99))/\((~(c1_1 (a99)))/\(~(c3_1 (a99)))))))/\(((~(hskp4))\/((ndr1_0)/\((c2_1 (a100))/\((~(c0_1 (a100)))/\(~(c1_1 (a100)))))))/\(((~(hskp5))\/((ndr1_0)/\((c3_1 (a101))/\((~(c1_1 (a101)))/\(~(c2_1 (a101)))))))/\(((~(hskp6))\/((ndr1_0)/\((c1_1 (a102))/\((c2_1 (a102))/\(~(c3_1 (a102)))))))/\(((~(hskp7))\/((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))))/\(((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105)))))))/\(((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))))/\(((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))))/\(((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))))/\(((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))))/\(((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))))/\(((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116)))))))/\(((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))))/\(((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127)))))))/\(((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a145))/\((~(c0_1 (a145)))/\(~(c2_1 (a145)))))))/\(((~(hskp22))\/((ndr1_0)/\((c3_1 (a149))/\((~(c0_1 (a149)))/\(~(c1_1 (a149)))))))/\(((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))))/\(((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))))/\(((~(hskp25))\/((ndr1_0)/\((c0_1 (a159))/\((~(c1_1 (a159)))/\(~(c2_1 (a159)))))))/\(((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))))/\(((~(hskp27))\/((ndr1_0)/\((c0_1 (a95))/\((c2_1 (a95))/\(c3_1 (a95))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142))))))/\(((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((hskp26)\/(hskp27)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0)))/\(((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c3_1 X3))))))\/((hskp2)\/(hskp3)))/\(((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c3_1 X3))))))\/((hskp4)\/(hskp5)))/\(((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6)))/\(((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7)))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))))/\(((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))))/\(((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29))))))))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((hskp13)\/(hskp3)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(hskp1))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(hskp14)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15)))/\(((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))))/\(((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50)))))))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10)))/\(((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp26)\/(hskp17)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5)))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13))/\(((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp6)\/(hskp4)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5)))/\(((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5)))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))))/\(((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18)))/\(((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp12)\/(hskp21)))/\(((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/((hskp26)\/(hskp1)))/\(((forall X76 : zenon_U, ((ndr1_0)->((~(c1_1 X76))\/((~(c2_1 X76))\/(~(c3_1 X76))))))\/((hskp9)\/(hskp22)))/\(((forall X76 : zenon_U, ((ndr1_0)->((~(c1_1 X76))\/((~(c2_1 X76))\/(~(c3_1 X76))))))\/((hskp12)\/(hskp8)))/\(((hskp23)\/((hskp24)\/(hskp16)))/\(((hskp18)\/((hskp19)\/(hskp13)))/\(((hskp18)\/((hskp25)\/(hskp17)))/\(((hskp9)\/((hskp14)\/(hskp2)))/\(((hskp20)\/((hskp29)\/(hskp0)))/\(((hskp20)\/((hskp3)\/(hskp8)))/\(((hskp14)\/((hskp16)\/(hskp21)))/\(((hskp14)\/((hskp12)\/(hskp11)))/\(((hskp14)\/((hskp1)\/(hskp3)))/\(((hskp29)\/((hskp24)\/(hskp11)))/\(((hskp6)\/((hskp22)\/(hskp17)))/\((hskp15)\/((hskp22)\/(hskp17))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.63/0.84 Proof. % 0.63/0.84 assert (zenon_L1_ : (~(hskp14)) -> (hskp14) -> False). % 0.63/0.84 do 0 intro. intros zenon_H1 zenon_H2. % 0.63/0.84 exact (zenon_H1 zenon_H2). % 0.63/0.84 (* end of lemma zenon_L1_ *) % 0.63/0.84 assert (zenon_L2_ : (~(hskp1)) -> (hskp1) -> False). % 0.63/0.84 do 0 intro. intros zenon_H3 zenon_H4. % 0.63/0.84 exact (zenon_H3 zenon_H4). % 0.63/0.84 (* end of lemma zenon_L2_ *) % 0.63/0.84 assert (zenon_L3_ : (~(hskp3)) -> (hskp3) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5 zenon_H6. % 0.63/0.84 exact (zenon_H5 zenon_H6). % 0.63/0.84 (* end of lemma zenon_L3_ *) % 0.63/0.84 assert (zenon_L4_ : ((hskp14)\/((hskp1)\/(hskp3))) -> (~(hskp14)) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H7 zenon_H1 zenon_H3 zenon_H5. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7); [ zenon_intro zenon_H2 | zenon_intro zenon_H8 ]. % 0.63/0.84 exact (zenon_H1 zenon_H2). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8); [ zenon_intro zenon_H4 | zenon_intro zenon_H6 ]. % 0.63/0.84 exact (zenon_H3 zenon_H4). % 0.63/0.84 exact (zenon_H5 zenon_H6). % 0.63/0.84 (* end of lemma zenon_L4_ *) % 0.63/0.84 assert (zenon_L5_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.63/0.84 do 0 intro. intros zenon_H9 zenon_Ha. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 (* end of lemma zenon_L5_ *) % 0.63/0.84 assert (zenon_L6_ : (forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15)))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hb zenon_Ha zenon_Hc zenon_Hd zenon_He. % 0.63/0.84 generalize (zenon_Hb (a115)). zenon_intro zenon_Hf. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hf); [ zenon_intro zenon_H9 | zenon_intro zenon_H10 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H10); [ zenon_intro zenon_H12 | zenon_intro zenon_H11 ]. % 0.63/0.84 exact (zenon_Hc zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H11); [ zenon_intro zenon_H14 | zenon_intro zenon_H13 ]. % 0.63/0.84 exact (zenon_Hd zenon_H14). % 0.63/0.84 exact (zenon_H13 zenon_He). % 0.63/0.84 (* end of lemma zenon_L6_ *) % 0.63/0.84 assert (zenon_L7_ : (~(hskp12)) -> (hskp12) -> False). % 0.63/0.84 do 0 intro. intros zenon_H15 zenon_H16. % 0.63/0.84 exact (zenon_H15 zenon_H16). % 0.63/0.84 (* end of lemma zenon_L7_ *) % 0.63/0.84 assert (zenon_L8_ : (~(hskp5)) -> (hskp5) -> False). % 0.63/0.84 do 0 intro. intros zenon_H17 zenon_H18. % 0.63/0.84 exact (zenon_H17 zenon_H18). % 0.63/0.84 (* end of lemma zenon_L8_ *) % 0.63/0.84 assert (zenon_L9_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> (ndr1_0) -> (~(hskp12)) -> (~(hskp5)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H19 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H15 zenon_H17. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H19); [ zenon_intro zenon_Hb | zenon_intro zenon_H1a ]. % 0.63/0.84 apply (zenon_L6_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H1a); [ zenon_intro zenon_H16 | zenon_intro zenon_H18 ]. % 0.63/0.84 exact (zenon_H15 zenon_H16). % 0.63/0.84 exact (zenon_H17 zenon_H18). % 0.63/0.84 (* end of lemma zenon_L9_ *) % 0.63/0.84 assert (zenon_L10_ : (~(hskp17)) -> (hskp17) -> False). % 0.63/0.84 do 0 intro. intros zenon_H1b zenon_H1c. % 0.63/0.84 exact (zenon_H1b zenon_H1c). % 0.63/0.84 (* end of lemma zenon_L10_ *) % 0.63/0.84 assert (zenon_L11_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp17)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H1d zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H3 zenon_H1b. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H1d); [ zenon_intro zenon_Hb | zenon_intro zenon_H1e ]. % 0.63/0.84 apply (zenon_L6_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H1e); [ zenon_intro zenon_H4 | zenon_intro zenon_H1c ]. % 0.63/0.84 exact (zenon_H3 zenon_H4). % 0.63/0.84 exact (zenon_H1b zenon_H1c). % 0.63/0.84 (* end of lemma zenon_L11_ *) % 0.63/0.84 assert (zenon_L12_ : (~(hskp20)) -> (hskp20) -> False). % 0.63/0.84 do 0 intro. intros zenon_H1f zenon_H20. % 0.63/0.84 exact (zenon_H1f zenon_H20). % 0.63/0.84 (* end of lemma zenon_L12_ *) % 0.63/0.84 assert (zenon_L13_ : (~(hskp10)) -> (hskp10) -> False). % 0.63/0.84 do 0 intro. intros zenon_H21 zenon_H22. % 0.63/0.84 exact (zenon_H21 zenon_H22). % 0.63/0.84 (* end of lemma zenon_L13_ *) % 0.63/0.84 assert (zenon_L14_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> (ndr1_0) -> (~(hskp20)) -> (~(hskp10)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H23 zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_H1f zenon_H21. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H23); [ zenon_intro zenon_Hb | zenon_intro zenon_H24 ]. % 0.63/0.84 apply (zenon_L6_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H20 | zenon_intro zenon_H22 ]. % 0.63/0.84 exact (zenon_H1f zenon_H20). % 0.63/0.84 exact (zenon_H21 zenon_H22). % 0.63/0.84 (* end of lemma zenon_L14_ *) % 0.63/0.84 assert (zenon_L15_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y))))) -> (ndr1_0) -> (~(c0_1 (a124))) -> (~(c1_1 (a124))) -> (~(c3_1 (a124))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H25 zenon_Ha zenon_H26 zenon_H27 zenon_H28. % 0.63/0.84 generalize (zenon_H25 (a124)). zenon_intro zenon_H29. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H29); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H2a); [ zenon_intro zenon_H2c | zenon_intro zenon_H2b ]. % 0.63/0.84 exact (zenon_H26 zenon_H2c). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H2b); [ zenon_intro zenon_H2e | zenon_intro zenon_H2d ]. % 0.63/0.84 exact (zenon_H27 zenon_H2e). % 0.63/0.84 exact (zenon_H28 zenon_H2d). % 0.63/0.84 (* end of lemma zenon_L15_ *) % 0.63/0.84 assert (zenon_L16_ : (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H2f zenon_Ha zenon_H30 zenon_Hc zenon_He. % 0.63/0.84 generalize (zenon_H2f (a115)). zenon_intro zenon_H31. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H31); [ zenon_intro zenon_H9 | zenon_intro zenon_H32 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H32); [ zenon_intro zenon_H34 | zenon_intro zenon_H33 ]. % 0.63/0.84 generalize (zenon_H30 (a115)). zenon_intro zenon_H35. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H35); [ zenon_intro zenon_H9 | zenon_intro zenon_H36 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H36); [ zenon_intro zenon_H12 | zenon_intro zenon_H37 ]. % 0.63/0.84 exact (zenon_Hc zenon_H12). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H37); [ zenon_intro zenon_H13 | zenon_intro zenon_H38 ]. % 0.63/0.84 exact (zenon_H13 zenon_He). % 0.63/0.84 exact (zenon_H38 zenon_H34). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H33); [ zenon_intro zenon_H12 | zenon_intro zenon_H13 ]. % 0.63/0.84 exact (zenon_Hc zenon_H12). % 0.63/0.84 exact (zenon_H13 zenon_He). % 0.63/0.84 (* end of lemma zenon_L16_ *) % 0.63/0.84 assert (zenon_L17_ : (forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H39 zenon_Ha zenon_H3a zenon_H3b zenon_H3c. % 0.63/0.84 generalize (zenon_H39 (a133)). zenon_intro zenon_H3d. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H3d); [ zenon_intro zenon_H9 | zenon_intro zenon_H3e ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H40 | zenon_intro zenon_H3f ]. % 0.63/0.84 exact (zenon_H3a zenon_H40). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.63/0.84 exact (zenon_H42 zenon_H3b). % 0.63/0.84 exact (zenon_H41 zenon_H3c). % 0.63/0.84 (* end of lemma zenon_L17_ *) % 0.63/0.84 assert (zenon_L18_ : (~(hskp15)) -> (hskp15) -> False). % 0.63/0.84 do 0 intro. intros zenon_H43 zenon_H44. % 0.63/0.84 exact (zenon_H43 zenon_H44). % 0.63/0.84 (* end of lemma zenon_L18_ *) % 0.63/0.84 assert (zenon_L19_ : (~(hskp0)) -> (hskp0) -> False). % 0.63/0.84 do 0 intro. intros zenon_H45 zenon_H46. % 0.63/0.84 exact (zenon_H45 zenon_H46). % 0.63/0.84 (* end of lemma zenon_L19_ *) % 0.63/0.84 assert (zenon_L20_ : ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H47 zenon_H48 zenon_H49 zenon_H45 zenon_H43 zenon_H4a zenon_H21 zenon_H23 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H1d. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.63/0.84 apply (zenon_L11_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.84 apply (zenon_L14_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.63/0.84 apply (zenon_L15_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2f | zenon_intro zenon_H52 ]. % 0.63/0.84 apply (zenon_L16_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H39 | zenon_intro zenon_H44 ]. % 0.63/0.84 apply (zenon_L17_); trivial. % 0.63/0.84 exact (zenon_H43 zenon_H44). % 0.63/0.84 exact (zenon_H45 zenon_H46). % 0.63/0.84 (* end of lemma zenon_L20_ *) % 0.63/0.84 assert (zenon_L21_ : (~(hskp24)) -> (hskp24) -> False). % 0.63/0.84 do 0 intro. intros zenon_H53 zenon_H54. % 0.63/0.84 exact (zenon_H53 zenon_H54). % 0.63/0.84 (* end of lemma zenon_L21_ *) % 0.63/0.84 assert (zenon_L22_ : (~(hskp16)) -> (hskp16) -> False). % 0.63/0.84 do 0 intro. intros zenon_H55 zenon_H56. % 0.63/0.84 exact (zenon_H55 zenon_H56). % 0.63/0.84 (* end of lemma zenon_L22_ *) % 0.63/0.84 assert (zenon_L23_ : ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp23)) -> (~(hskp24)) -> (~(hskp16)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H57 zenon_H58 zenon_H53 zenon_H55. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H5a | zenon_intro zenon_H59 ]. % 0.63/0.84 exact (zenon_H58 zenon_H5a). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H59); [ zenon_intro zenon_H54 | zenon_intro zenon_H56 ]. % 0.63/0.84 exact (zenon_H53 zenon_H54). % 0.63/0.84 exact (zenon_H55 zenon_H56). % 0.63/0.84 (* end of lemma zenon_L23_ *) % 0.63/0.84 assert (zenon_L24_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a153))) -> (~(c2_1 (a153))) -> (c1_1 (a153)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5b zenon_Ha zenon_H5c zenon_H5d zenon_H5e. % 0.63/0.84 generalize (zenon_H5b (a153)). zenon_intro zenon_H5f. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H5f); [ zenon_intro zenon_H9 | zenon_intro zenon_H60 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H60); [ zenon_intro zenon_H62 | zenon_intro zenon_H61 ]. % 0.63/0.84 exact (zenon_H5c zenon_H62). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H61); [ zenon_intro zenon_H64 | zenon_intro zenon_H63 ]. % 0.63/0.84 exact (zenon_H5d zenon_H64). % 0.63/0.84 exact (zenon_H63 zenon_H5e). % 0.63/0.84 (* end of lemma zenon_L24_ *) % 0.63/0.84 assert (zenon_L25_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H65 zenon_Ha zenon_H66 zenon_H67 zenon_H68. % 0.63/0.84 generalize (zenon_H65 (a110)). zenon_intro zenon_H69. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_H9 | zenon_intro zenon_H6a ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.63/0.84 exact (zenon_H66 zenon_H6c). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.63/0.84 exact (zenon_H6e zenon_H67). % 0.63/0.84 exact (zenon_H6d zenon_H68). % 0.63/0.84 (* end of lemma zenon_L25_ *) % 0.63/0.84 assert (zenon_L26_ : (~(hskp7)) -> (hskp7) -> False). % 0.63/0.84 do 0 intro. intros zenon_H6f zenon_H70. % 0.63/0.84 exact (zenon_H6f zenon_H70). % 0.63/0.84 (* end of lemma zenon_L26_ *) % 0.63/0.84 assert (zenon_L27_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> (~(hskp7)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H71 zenon_H72 zenon_H68 zenon_H67 zenon_H66 zenon_H6f. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.84 apply (zenon_L24_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.84 apply (zenon_L25_); trivial. % 0.63/0.84 exact (zenon_H6f zenon_H70). % 0.63/0.84 (* end of lemma zenon_L27_ *) % 0.63/0.84 assert (zenon_L28_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> (~(hskp23)) -> (~(hskp16)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H58 zenon_H55 zenon_H57. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.84 apply (zenon_L23_); trivial. % 0.63/0.84 apply (zenon_L27_); trivial. % 0.63/0.84 (* end of lemma zenon_L28_ *) % 0.63/0.84 assert (zenon_L29_ : (~(hskp29)) -> (hskp29) -> False). % 0.63/0.84 do 0 intro. intros zenon_H77 zenon_H78. % 0.63/0.84 exact (zenon_H77 zenon_H78). % 0.63/0.84 (* end of lemma zenon_L29_ *) % 0.63/0.84 assert (zenon_L30_ : (~(hskp11)) -> (hskp11) -> False). % 0.63/0.84 do 0 intro. intros zenon_H79 zenon_H7a. % 0.63/0.84 exact (zenon_H79 zenon_H7a). % 0.63/0.84 (* end of lemma zenon_L30_ *) % 0.63/0.84 assert (zenon_L31_ : ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp29)) -> (~(hskp24)) -> (~(hskp11)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H7b zenon_H77 zenon_H53 zenon_H79. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7b); [ zenon_intro zenon_H78 | zenon_intro zenon_H7c ]. % 0.63/0.84 exact (zenon_H77 zenon_H78). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H7c); [ zenon_intro zenon_H54 | zenon_intro zenon_H7a ]. % 0.63/0.84 exact (zenon_H53 zenon_H54). % 0.63/0.84 exact (zenon_H79 zenon_H7a). % 0.63/0.84 (* end of lemma zenon_L31_ *) % 0.63/0.84 assert (zenon_L32_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H30 zenon_Ha zenon_H7d zenon_H7e zenon_H7f. % 0.63/0.84 generalize (zenon_H30 (a152)). zenon_intro zenon_H80. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H80); [ zenon_intro zenon_H9 | zenon_intro zenon_H81 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H83 | zenon_intro zenon_H82 ]. % 0.63/0.84 exact (zenon_H7d zenon_H83). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H82); [ zenon_intro zenon_H85 | zenon_intro zenon_H84 ]. % 0.63/0.84 exact (zenon_H85 zenon_H7e). % 0.63/0.84 exact (zenon_H84 zenon_H7f). % 0.63/0.84 (* end of lemma zenon_L32_ *) % 0.63/0.84 assert (zenon_L33_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a133))) -> (c1_1 (a133)) -> (c3_1 (a133)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H86 zenon_Ha zenon_H3a zenon_H87 zenon_H3c. % 0.63/0.84 generalize (zenon_H86 (a133)). zenon_intro zenon_H88. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H88); [ zenon_intro zenon_H9 | zenon_intro zenon_H89 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H89); [ zenon_intro zenon_H40 | zenon_intro zenon_H8a ]. % 0.63/0.84 exact (zenon_H3a zenon_H40). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H8b | zenon_intro zenon_H41 ]. % 0.63/0.84 exact (zenon_H8b zenon_H87). % 0.63/0.84 exact (zenon_H41 zenon_H3c). % 0.63/0.84 (* end of lemma zenon_L33_ *) % 0.63/0.84 assert (zenon_L34_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H8c zenon_Ha zenon_H86 zenon_H3a zenon_H3c. % 0.63/0.84 generalize (zenon_H8c (a133)). zenon_intro zenon_H8d. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_H9 | zenon_intro zenon_H8e ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H87 | zenon_intro zenon_H8f ]. % 0.63/0.84 apply (zenon_L33_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H40 | zenon_intro zenon_H41 ]. % 0.63/0.84 exact (zenon_H3a zenon_H40). % 0.63/0.84 exact (zenon_H41 zenon_H3c). % 0.63/0.84 (* end of lemma zenon_L34_ *) % 0.63/0.84 assert (zenon_L35_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H90 zenon_Ha zenon_H91 zenon_H92 zenon_H93 zenon_H94. % 0.63/0.84 generalize (zenon_H90 (a165)). zenon_intro zenon_H95. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H9 | zenon_intro zenon_H96 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.63/0.84 generalize (zenon_H91 (a165)). zenon_intro zenon_H99. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_H9 | zenon_intro zenon_H9a ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.63/0.84 exact (zenon_H9c zenon_H98). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.63/0.84 exact (zenon_H9e zenon_H92). % 0.63/0.84 exact (zenon_H9d zenon_H93). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 0.63/0.84 exact (zenon_H9e zenon_H92). % 0.63/0.84 exact (zenon_H9f zenon_H94). % 0.63/0.84 (* end of lemma zenon_L35_ *) % 0.63/0.84 assert (zenon_L36_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Ha0 zenon_H3c zenon_H3a zenon_H86 zenon_H7f zenon_H7e zenon_H7d zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.84 apply (zenon_L34_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.84 apply (zenon_L32_); trivial. % 0.63/0.84 apply (zenon_L35_); trivial. % 0.63/0.84 (* end of lemma zenon_L36_ *) % 0.63/0.84 assert (zenon_L37_ : (~(hskp26)) -> (hskp26) -> False). % 0.63/0.84 do 0 intro. intros zenon_Ha2 zenon_Ha3. % 0.63/0.84 exact (zenon_Ha2 zenon_Ha3). % 0.63/0.84 (* end of lemma zenon_L37_ *) % 0.63/0.84 assert (zenon_L38_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (ndr1_0) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Ha4 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_H7d zenon_H7e zenon_H7f zenon_H86 zenon_H3a zenon_H3c zenon_Ha0 zenon_Ha2 zenon_H79. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.63/0.84 apply (zenon_L36_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.63/0.84 exact (zenon_Ha2 zenon_Ha3). % 0.63/0.84 exact (zenon_H79 zenon_H7a). % 0.63/0.84 (* end of lemma zenon_L38_ *) % 0.63/0.84 assert (zenon_L39_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> (~(hskp26)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Ha6 zenon_H79 zenon_Ha2 zenon_Ha0 zenon_H3c zenon_H3a zenon_H7f zenon_H7e zenon_H7d zenon_Ha4 zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.63/0.84 apply (zenon_L32_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.63/0.84 apply (zenon_L38_); trivial. % 0.63/0.84 apply (zenon_L35_); trivial. % 0.63/0.84 (* end of lemma zenon_L39_ *) % 0.63/0.84 assert (zenon_L40_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H90 zenon_Ha zenon_Ha8 zenon_H94 zenon_H93 zenon_H92. % 0.63/0.84 generalize (zenon_H90 (a165)). zenon_intro zenon_H95. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_H95); [ zenon_intro zenon_H9 | zenon_intro zenon_H96 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H96); [ zenon_intro zenon_H98 | zenon_intro zenon_H97 ]. % 0.63/0.84 generalize (zenon_Ha8 (a165)). zenon_intro zenon_Ha9. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Ha9); [ zenon_intro zenon_H9 | zenon_intro zenon_Haa ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H9c | zenon_intro zenon_Hab ]. % 0.63/0.84 exact (zenon_H9c zenon_H98). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9f | zenon_intro zenon_H9d ]. % 0.63/0.84 exact (zenon_H9f zenon_H94). % 0.63/0.84 exact (zenon_H9d zenon_H93). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H97); [ zenon_intro zenon_H9e | zenon_intro zenon_H9f ]. % 0.63/0.84 exact (zenon_H9e zenon_H92). % 0.63/0.84 exact (zenon_H9f zenon_H94). % 0.63/0.84 (* end of lemma zenon_L40_ *) % 0.63/0.84 assert (zenon_L41_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Ha4 zenon_H92 zenon_H93 zenon_H94 zenon_Ha8 zenon_Ha zenon_Ha2 zenon_H79. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.63/0.84 apply (zenon_L40_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.63/0.84 exact (zenon_Ha2 zenon_Ha3). % 0.63/0.84 exact (zenon_H79 zenon_H7a). % 0.63/0.84 (* end of lemma zenon_L41_ *) % 0.63/0.84 assert (zenon_L42_ : (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (ndr1_0) -> (c0_1 (a94)) -> (c1_1 (a94)) -> (c2_1 (a94)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hac zenon_Ha zenon_Had zenon_Hae zenon_Haf. % 0.63/0.84 generalize (zenon_Hac (a94)). zenon_intro zenon_Hb0. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hb0); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb1 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hb2 ]. % 0.63/0.84 exact (zenon_Hb3 zenon_Had). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_Hb5 | zenon_intro zenon_Hb4 ]. % 0.63/0.84 exact (zenon_Hb5 zenon_Hae). % 0.63/0.84 exact (zenon_Hb4 zenon_Haf). % 0.63/0.84 (* end of lemma zenon_L42_ *) % 0.63/0.84 assert (zenon_L43_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (c0_1 (a94)) -> (c1_1 (a94)) -> (c2_1 (a94)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hb6 zenon_H94 zenon_H93 zenon_H92 zenon_H7d zenon_H7e zenon_H7f zenon_H86 zenon_Ha0 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_Had zenon_Hae zenon_Haf. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.63/0.84 apply (zenon_L36_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.63/0.84 apply (zenon_L17_); trivial. % 0.63/0.84 apply (zenon_L42_); trivial. % 0.63/0.84 (* end of lemma zenon_L43_ *) % 0.63/0.84 assert (zenon_L44_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c2_1 (a94)) -> (c1_1 (a94)) -> (c0_1 (a94)) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Ha6 zenon_Haf zenon_Hae zenon_Had zenon_H3a zenon_H3b zenon_H3c zenon_Ha0 zenon_H7f zenon_H7e zenon_H7d zenon_Hb6 zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.63/0.84 apply (zenon_L32_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.63/0.84 apply (zenon_L43_); trivial. % 0.63/0.84 apply (zenon_L35_); trivial. % 0.63/0.84 (* end of lemma zenon_L44_ *) % 0.63/0.84 assert (zenon_L45_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (c0_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hb8 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_Hb9 zenon_Hba zenon_H3 zenon_Ha4 zenon_H3a zenon_H3c zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_H3b zenon_Hb6 zenon_Hbb. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.84 apply (zenon_L31_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H90 | zenon_intro zenon_Hc2 ]. % 0.63/0.84 apply (zenon_L39_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H4 ]. % 0.63/0.84 apply (zenon_L41_); trivial. % 0.63/0.84 exact (zenon_H3 zenon_H4). % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.84 apply (zenon_L31_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.63/0.84 apply (zenon_L44_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.63/0.84 apply (zenon_L17_); trivial. % 0.63/0.84 apply (zenon_L42_); trivial. % 0.63/0.84 apply (zenon_L27_); trivial. % 0.63/0.84 (* end of lemma zenon_L45_ *) % 0.63/0.84 assert (zenon_L46_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H4e zenon_Hc5 zenon_Hb9 zenon_Hba zenon_H3 zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.63/0.84 apply (zenon_L28_); trivial. % 0.63/0.84 apply (zenon_L45_); trivial. % 0.63/0.84 (* end of lemma zenon_L46_ *) % 0.63/0.84 assert (zenon_L47_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.84 do 0 intro. intros zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Hba zenon_H3 zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.84 apply (zenon_L14_); trivial. % 0.63/0.84 apply (zenon_L46_); trivial. % 0.63/0.84 (* end of lemma zenon_L47_ *) % 0.63/0.84 assert (zenon_L48_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a118))) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H5b zenon_Ha zenon_Hc6 zenon_Hc7 zenon_Hc8. % 0.63/0.84 generalize (zenon_H5b (a118)). zenon_intro zenon_Hc9. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hc9); [ zenon_intro zenon_H9 | zenon_intro zenon_Hca ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hca); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.63/0.84 exact (zenon_Hc6 zenon_Hcc). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hcb); [ zenon_intro zenon_Hce | zenon_intro zenon_Hcd ]. % 0.63/0.84 exact (zenon_Hc7 zenon_Hce). % 0.63/0.84 exact (zenon_Hcd zenon_Hc8). % 0.63/0.84 (* end of lemma zenon_L48_ *) % 0.63/0.84 assert (zenon_L49_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a118)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H30 zenon_Ha zenon_Hc7 zenon_H5b zenon_Hc8. % 0.63/0.84 generalize (zenon_H30 (a118)). zenon_intro zenon_Hcf. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd0 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hce | zenon_intro zenon_Hd1 ]. % 0.63/0.84 exact (zenon_Hc7 zenon_Hce). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcd ]. % 0.63/0.84 apply (zenon_L48_); trivial. % 0.63/0.84 exact (zenon_Hcd zenon_Hc8). % 0.63/0.84 (* end of lemma zenon_L49_ *) % 0.63/0.84 assert (zenon_L50_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a118))) -> (~(c3_1 (a118))) -> (c1_1 (a118)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hd2 zenon_Ha zenon_Hc6 zenon_Hd3 zenon_Hc8. % 0.63/0.84 generalize (zenon_Hd2 (a118)). zenon_intro zenon_Hd4. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hd4); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd5 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd5); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hd6 ]. % 0.63/0.84 exact (zenon_Hc6 zenon_Hcc). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hcd ]. % 0.63/0.84 exact (zenon_Hd3 zenon_Hd7). % 0.63/0.84 exact (zenon_Hcd zenon_Hc8). % 0.63/0.84 (* end of lemma zenon_L50_ *) % 0.63/0.84 assert (zenon_L51_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a118))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a118))) -> (c1_1 (a118)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H30 zenon_Ha zenon_Hc7 zenon_Hd2 zenon_Hd3 zenon_Hc8. % 0.63/0.84 generalize (zenon_H30 (a118)). zenon_intro zenon_Hcf. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hcf); [ zenon_intro zenon_H9 | zenon_intro zenon_Hd0 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hce | zenon_intro zenon_Hd1 ]. % 0.63/0.84 exact (zenon_Hc7 zenon_Hce). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcd ]. % 0.63/0.84 apply (zenon_L50_); trivial. % 0.63/0.84 exact (zenon_Hcd zenon_Hc8). % 0.63/0.84 (* end of lemma zenon_L51_ *) % 0.63/0.84 assert (zenon_L52_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> False). % 0.63/0.84 do 0 intro. intros zenon_H86 zenon_Ha zenon_H65 zenon_Hd8 zenon_Hd9 zenon_Hda. % 0.63/0.84 generalize (zenon_H86 (a116)). zenon_intro zenon_Hdb. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hdb); [ zenon_intro zenon_H9 | zenon_intro zenon_Hdc ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hdc); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.63/0.84 generalize (zenon_H65 (a116)). zenon_intro zenon_Hdf. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hdf); [ zenon_intro zenon_H9 | zenon_intro zenon_He0 ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_He2 | zenon_intro zenon_He1 ]. % 0.63/0.84 exact (zenon_Hd8 zenon_He2). % 0.63/0.84 apply (zenon_or_s _ _ zenon_He1); [ zenon_intro zenon_He4 | zenon_intro zenon_He3 ]. % 0.63/0.84 exact (zenon_He4 zenon_Hde). % 0.63/0.84 exact (zenon_He3 zenon_Hd9). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_He5 | zenon_intro zenon_He3 ]. % 0.63/0.84 exact (zenon_He5 zenon_Hda). % 0.63/0.84 exact (zenon_He3 zenon_Hd9). % 0.63/0.84 (* end of lemma zenon_L52_ *) % 0.63/0.84 assert (zenon_L53_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (~(c2_1 (a118))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> False). % 0.63/0.84 do 0 intro. intros zenon_He6 zenon_Hc8 zenon_Hd3 zenon_Hc7 zenon_H30 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H65 zenon_Hd8 zenon_Hd9 zenon_Hda. % 0.63/0.84 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.63/0.84 apply (zenon_L51_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.63/0.84 apply (zenon_L17_); trivial. % 0.63/0.84 apply (zenon_L52_); trivial. % 0.63/0.84 (* end of lemma zenon_L53_ *) % 0.63/0.84 assert (zenon_L54_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> False). % 0.63/0.84 do 0 intro. intros zenon_He8 zenon_He9 zenon_Hea zenon_He6 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_Hba zenon_Hb9 zenon_Hc5 zenon_H1d zenon_H3 zenon_H23 zenon_H21 zenon_H4a zenon_H45 zenon_H49 zenon_H48 zenon_H47. % 0.63/0.84 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.84 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.63/0.84 apply (zenon_L20_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.84 apply (zenon_L47_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.84 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.63/0.84 apply (zenon_L11_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.84 apply (zenon_L14_); trivial. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.84 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.63/0.84 apply (zenon_L15_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.84 apply (zenon_L49_); trivial. % 0.63/0.84 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.84 apply (zenon_L53_); trivial. % 0.63/0.84 exact (zenon_H6f zenon_H70). % 0.63/0.84 exact (zenon_H45 zenon_H46). % 0.63/0.84 (* end of lemma zenon_L54_ *) % 0.63/0.84 assert (zenon_L55_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_Hea zenon_He6 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_Hba zenon_Hb9 zenon_Hc5 zenon_H1d zenon_H23 zenon_H21 zenon_H4a zenon_H45 zenon_H49 zenon_H48 zenon_H47 zenon_H3 zenon_H5 zenon_H7. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.84 apply (zenon_L4_); trivial. % 0.63/0.84 apply (zenon_L54_); trivial. % 0.63/0.84 (* end of lemma zenon_L55_ *) % 0.63/0.84 assert (zenon_L56_ : (~(hskp9)) -> (hskp9) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hf4 zenon_Hf5. % 0.63/0.84 exact (zenon_Hf4 zenon_Hf5). % 0.63/0.84 (* end of lemma zenon_L56_ *) % 0.63/0.84 assert (zenon_L57_ : (~(hskp2)) -> (hskp2) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hf6 zenon_Hf7. % 0.63/0.84 exact (zenon_Hf6 zenon_Hf7). % 0.63/0.84 (* end of lemma zenon_L57_ *) % 0.63/0.84 assert (zenon_L58_ : ((hskp9)\/((hskp14)\/(hskp2))) -> (~(hskp9)) -> (~(hskp14)) -> (~(hskp2)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hf8 zenon_Hf4 zenon_H1 zenon_Hf6. % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf8); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf9 ]. % 0.63/0.84 exact (zenon_Hf4 zenon_Hf5). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hf9); [ zenon_intro zenon_H2 | zenon_intro zenon_Hf7 ]. % 0.63/0.84 exact (zenon_H1 zenon_H2). % 0.63/0.84 exact (zenon_Hf6 zenon_Hf7). % 0.63/0.84 (* end of lemma zenon_L58_ *) % 0.63/0.84 assert (zenon_L59_ : (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> False). % 0.63/0.84 do 0 intro. intros zenon_Hfa zenon_Ha zenon_Hfb zenon_Hfc zenon_Hfd. % 0.63/0.84 generalize (zenon_Hfa (a109)). zenon_intro zenon_Hfe. % 0.63/0.84 apply (zenon_imply_s _ _ zenon_Hfe); [ zenon_intro zenon_H9 | zenon_intro zenon_Hff ]. % 0.63/0.84 exact (zenon_H9 zenon_Ha). % 0.63/0.84 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H101 | zenon_intro zenon_H100 ]. % 0.63/0.84 exact (zenon_Hfb zenon_H101). % 0.63/0.84 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ]. % 0.63/0.84 exact (zenon_Hfc zenon_H103). % 0.63/0.84 exact (zenon_H102 zenon_Hfd). % 0.63/0.84 (* end of lemma zenon_L59_ *) % 0.63/0.84 assert (zenon_L60_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H90 zenon_Ha zenon_Hfb zenon_H104 zenon_Hfc zenon_Hfd. % 0.63/0.85 generalize (zenon_H90 (a109)). zenon_intro zenon_H105. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_H9 | zenon_intro zenon_H106 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H101 | zenon_intro zenon_H107 ]. % 0.63/0.85 exact (zenon_Hfb zenon_H101). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H108 | zenon_intro zenon_H102 ]. % 0.63/0.85 generalize (zenon_H104 (a109)). zenon_intro zenon_H109. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H109); [ zenon_intro zenon_H9 | zenon_intro zenon_H10a ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H10a); [ zenon_intro zenon_H10b | zenon_intro zenon_H100 ]. % 0.63/0.85 exact (zenon_H108 zenon_H10b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H100); [ zenon_intro zenon_H103 | zenon_intro zenon_H102 ]. % 0.63/0.85 exact (zenon_Hfc zenon_H103). % 0.63/0.85 exact (zenon_H102 zenon_Hfd). % 0.63/0.85 exact (zenon_H102 zenon_Hfd). % 0.63/0.85 (* end of lemma zenon_L60_ *) % 0.63/0.85 assert (zenon_L61_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (ndr1_0) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (~(hskp10)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H10c zenon_Hfd zenon_Hfc zenon_Hfb zenon_Ha zenon_H90 zenon_H21. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10d ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22 ]. % 0.63/0.85 apply (zenon_L60_); trivial. % 0.63/0.85 exact (zenon_H21 zenon_H22). % 0.63/0.85 (* end of lemma zenon_L61_ *) % 0.63/0.85 assert (zenon_L62_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a116))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H10e zenon_Ha zenon_Hd8 zenon_Hda zenon_Hd9. % 0.63/0.85 generalize (zenon_H10e (a116)). zenon_intro zenon_H10f. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H10f); [ zenon_intro zenon_H9 | zenon_intro zenon_H110 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H110); [ zenon_intro zenon_He2 | zenon_intro zenon_Hdd ]. % 0.63/0.85 exact (zenon_Hd8 zenon_He2). % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hdd); [ zenon_intro zenon_He5 | zenon_intro zenon_He3 ]. % 0.63/0.85 exact (zenon_He5 zenon_Hda). % 0.63/0.85 exact (zenon_He3 zenon_Hd9). % 0.63/0.85 (* end of lemma zenon_L62_ *) % 0.63/0.85 assert (zenon_L63_ : ((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(hskp10)) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hed zenon_H111 zenon_H21 zenon_Hfb zenon_Hfc zenon_Hfd zenon_H10c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.63/0.85 apply (zenon_L61_); trivial. % 0.63/0.85 apply (zenon_L62_); trivial. % 0.63/0.85 (* end of lemma zenon_L63_ *) % 0.63/0.85 assert (zenon_L64_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_He8 zenon_He9 zenon_H111 zenon_H10c zenon_Hfd zenon_Hfc zenon_Hfb zenon_H1d zenon_H3 zenon_H23 zenon_H21 zenon_H4a zenon_H45 zenon_H49 zenon_H48 zenon_H47. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.63/0.85 apply (zenon_L20_); trivial. % 0.63/0.85 apply (zenon_L63_); trivial. % 0.63/0.85 (* end of lemma zenon_L64_ *) % 0.63/0.85 assert (zenon_L65_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp14)\/(hskp2))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_Hfd zenon_Hfc zenon_Hfb zenon_H1d zenon_H3 zenon_H23 zenon_H21 zenon_H4a zenon_H45 zenon_H49 zenon_H48 zenon_H47 zenon_Hf4 zenon_Hf6 zenon_Hf8. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L58_); trivial. % 0.63/0.85 apply (zenon_L64_); trivial. % 0.63/0.85 (* end of lemma zenon_L65_ *) % 0.63/0.85 assert (zenon_L66_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp12)) -> (~(hskp5)) -> False). % 0.63/0.85 do 0 intro. intros zenon_He8 zenon_H19 zenon_H15 zenon_H17. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_L9_); trivial. % 0.63/0.85 (* end of lemma zenon_L66_ *) % 0.63/0.85 assert (zenon_L67_ : (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (ndr1_0) -> (~(c0_1 (a106))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H5b zenon_Ha zenon_H113 zenon_H114 zenon_H115. % 0.63/0.85 generalize (zenon_H5b (a106)). zenon_intro zenon_H116. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H116); [ zenon_intro zenon_H9 | zenon_intro zenon_H117 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H117); [ zenon_intro zenon_H119 | zenon_intro zenon_H118 ]. % 0.63/0.85 exact (zenon_H113 zenon_H119). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H118); [ zenon_intro zenon_H11b | zenon_intro zenon_H11a ]. % 0.63/0.85 exact (zenon_H114 zenon_H11b). % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 (* end of lemma zenon_L67_ *) % 0.63/0.85 assert (zenon_L68_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H30 zenon_Ha zenon_H114 zenon_H5b zenon_H115. % 0.63/0.85 generalize (zenon_H30 (a106)). zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H11b | zenon_intro zenon_H11e ]. % 0.63/0.85 exact (zenon_H114 zenon_H11b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H113 | zenon_intro zenon_H11a ]. % 0.63/0.85 apply (zenon_L67_); trivial. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 (* end of lemma zenon_L68_ *) % 0.63/0.85 assert (zenon_L69_ : (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H86 zenon_Ha zenon_H114 zenon_H115 zenon_H11f. % 0.63/0.85 generalize (zenon_H86 (a106)). zenon_intro zenon_H120. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_H9 | zenon_intro zenon_H121 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H11b | zenon_intro zenon_H122 ]. % 0.63/0.85 exact (zenon_H114 zenon_H11b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H11a | zenon_intro zenon_H123 ]. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 exact (zenon_H123 zenon_H11f). % 0.63/0.85 (* end of lemma zenon_L69_ *) % 0.63/0.85 assert (zenon_L70_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H91 zenon_Ha zenon_H5b zenon_H114 zenon_H115 zenon_H11f. % 0.63/0.85 generalize (zenon_H91 (a106)). zenon_intro zenon_H124. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H9 | zenon_intro zenon_H125 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H113 | zenon_intro zenon_H122 ]. % 0.63/0.85 apply (zenon_L67_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H11a | zenon_intro zenon_H123 ]. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 exact (zenon_H123 zenon_H11f). % 0.63/0.85 (* end of lemma zenon_L70_ *) % 0.63/0.85 assert (zenon_L71_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Ha6 zenon_Ha zenon_H5b zenon_H114 zenon_H115 zenon_H11f. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.63/0.85 apply (zenon_L68_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.63/0.85 apply (zenon_L69_); trivial. % 0.63/0.85 apply (zenon_L70_); trivial. % 0.63/0.85 (* end of lemma zenon_L71_ *) % 0.63/0.85 assert (zenon_L72_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp7)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H126 zenon_H72 zenon_H11f zenon_H115 zenon_H114 zenon_Ha6 zenon_H6f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.85 apply (zenon_L71_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.85 apply (zenon_L25_); trivial. % 0.63/0.85 exact (zenon_H6f zenon_H70). % 0.63/0.85 (* end of lemma zenon_L72_ *) % 0.63/0.85 assert (zenon_L73_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp9)\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H129 zenon_H72 zenon_H6f zenon_H114 zenon_H115 zenon_H11f zenon_Ha6 zenon_Hf8 zenon_Hf6 zenon_Hf4 zenon_H17 zenon_H19 zenon_Hf3. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L58_); trivial. % 0.63/0.85 apply (zenon_L66_); trivial. % 0.63/0.85 apply (zenon_L72_); trivial. % 0.63/0.85 (* end of lemma zenon_L73_ *) % 0.63/0.85 assert (zenon_L74_ : ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp14)) -> (~(hskp12)) -> (~(hskp11)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H12a zenon_H1 zenon_H15 zenon_H79. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H12a); [ zenon_intro zenon_H2 | zenon_intro zenon_H12b ]. % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H12b); [ zenon_intro zenon_H16 | zenon_intro zenon_H7a ]. % 0.63/0.85 exact (zenon_H15 zenon_H16). % 0.63/0.85 exact (zenon_H79 zenon_H7a). % 0.63/0.85 (* end of lemma zenon_L74_ *) % 0.63/0.85 assert (zenon_L75_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hf3 zenon_H19 zenon_H17 zenon_H15 zenon_H79 zenon_H12a. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L74_); trivial. % 0.63/0.85 apply (zenon_L66_); trivial. % 0.63/0.85 (* end of lemma zenon_L75_ *) % 0.63/0.85 assert (zenon_L76_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H12c zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_H1d zenon_H23 zenon_H21 zenon_H4a zenon_H45 zenon_H49 zenon_H48 zenon_H47 zenon_H3 zenon_H5 zenon_H7. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L4_); trivial. % 0.63/0.85 apply (zenon_L64_); trivial. % 0.63/0.85 (* end of lemma zenon_L76_ *) % 0.63/0.85 assert (zenon_L77_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (ndr1_0) -> (~(c0_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H10e zenon_Ha zenon_H113 zenon_H115 zenon_H11f. % 0.63/0.85 generalize (zenon_H10e (a106)). zenon_intro zenon_H12f. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H12f); [ zenon_intro zenon_H9 | zenon_intro zenon_H130 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H130); [ zenon_intro zenon_H119 | zenon_intro zenon_H122 ]. % 0.63/0.85 exact (zenon_H113 zenon_H119). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H11a | zenon_intro zenon_H123 ]. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 exact (zenon_H123 zenon_H11f). % 0.63/0.85 (* end of lemma zenon_L77_ *) % 0.63/0.85 assert (zenon_L78_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H30 zenon_Ha zenon_H114 zenon_H10e zenon_H115 zenon_H11f. % 0.63/0.85 generalize (zenon_H30 (a106)). zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H11b | zenon_intro zenon_H11e ]. % 0.63/0.85 exact (zenon_H114 zenon_H11b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H113 | zenon_intro zenon_H11a ]. % 0.63/0.85 apply (zenon_L77_); trivial. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 (* end of lemma zenon_L78_ *) % 0.63/0.85 assert (zenon_L79_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H91 zenon_Ha zenon_H10e zenon_H115 zenon_H11f. % 0.63/0.85 generalize (zenon_H91 (a106)). zenon_intro zenon_H124. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H9 | zenon_intro zenon_H125 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H113 | zenon_intro zenon_H122 ]. % 0.63/0.85 apply (zenon_L77_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H11a | zenon_intro zenon_H123 ]. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 exact (zenon_H123 zenon_H11f). % 0.63/0.85 (* end of lemma zenon_L79_ *) % 0.63/0.85 assert (zenon_L80_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Ha6 zenon_H114 zenon_Ha zenon_H10e zenon_H115 zenon_H11f. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.63/0.85 apply (zenon_L78_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.63/0.85 apply (zenon_L69_); trivial. % 0.63/0.85 apply (zenon_L79_); trivial. % 0.63/0.85 (* end of lemma zenon_L80_ *) % 0.63/0.85 assert (zenon_L81_ : (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57)))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H131 zenon_Ha zenon_H132 zenon_H133 zenon_H134 zenon_H135. % 0.63/0.85 generalize (zenon_H131 (a105)). zenon_intro zenon_H136. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H136); [ zenon_intro zenon_H9 | zenon_intro zenon_H137 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H137); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.63/0.85 exact (zenon_H132 zenon_H139). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H138); [ zenon_intro zenon_H13b | zenon_intro zenon_H13a ]. % 0.63/0.85 generalize (zenon_H133 (a105)). zenon_intro zenon_H13c. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H13c); [ zenon_intro zenon_H9 | zenon_intro zenon_H13d ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H13d); [ zenon_intro zenon_H139 | zenon_intro zenon_H13e ]. % 0.63/0.85 exact (zenon_H132 zenon_H139). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H140 | zenon_intro zenon_H13f ]. % 0.63/0.85 exact (zenon_H140 zenon_H134). % 0.63/0.85 exact (zenon_H13f zenon_H13b). % 0.63/0.85 exact (zenon_H13a zenon_H135). % 0.63/0.85 (* end of lemma zenon_L81_ *) % 0.63/0.85 assert (zenon_L82_ : (~(hskp13)) -> (hskp13) -> False). % 0.63/0.85 do 0 intro. intros zenon_H141 zenon_H142. % 0.63/0.85 exact (zenon_H141 zenon_H142). % 0.63/0.85 (* end of lemma zenon_L82_ *) % 0.63/0.85 assert (zenon_L83_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp13)) -> (c0_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H143 zenon_H141 zenon_H135 zenon_H134 zenon_H132 zenon_Ha zenon_H131. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.63/0.85 apply (zenon_L81_); trivial. % 0.63/0.85 exact (zenon_H141 zenon_H142). % 0.63/0.85 (* end of lemma zenon_L83_ *) % 0.63/0.85 assert (zenon_L84_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(hskp13)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp12)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H144 zenon_H11f zenon_H115 zenon_H114 zenon_Ha6 zenon_Ha zenon_H132 zenon_H134 zenon_H135 zenon_H141 zenon_H143 zenon_H15. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.63/0.85 apply (zenon_L80_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.63/0.85 apply (zenon_L83_); trivial. % 0.63/0.85 exact (zenon_H15 zenon_H16). % 0.63/0.85 (* end of lemma zenon_L84_ *) % 0.63/0.85 assert (zenon_L85_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H146 zenon_Ha zenon_H147 zenon_H148 zenon_H149. % 0.63/0.85 generalize (zenon_H146 (a112)). zenon_intro zenon_H14a. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H14a); [ zenon_intro zenon_H9 | zenon_intro zenon_H14b ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H14b); [ zenon_intro zenon_H14d | zenon_intro zenon_H14c ]. % 0.63/0.85 exact (zenon_H147 zenon_H14d). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H14c); [ zenon_intro zenon_H14f | zenon_intro zenon_H14e ]. % 0.63/0.85 exact (zenon_H14f zenon_H148). % 0.63/0.85 exact (zenon_H14e zenon_H149). % 0.63/0.85 (* end of lemma zenon_L85_ *) % 0.63/0.85 assert (zenon_L86_ : (~(hskp8)) -> (hskp8) -> False). % 0.63/0.85 do 0 intro. intros zenon_H150 zenon_H151. % 0.63/0.85 exact (zenon_H150 zenon_H151). % 0.63/0.85 (* end of lemma zenon_L86_ *) % 0.63/0.85 assert (zenon_L87_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H152 zenon_H149 zenon_H148 zenon_H147 zenon_Ha zenon_H55 zenon_H150. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H146 | zenon_intro zenon_H153 ]. % 0.63/0.85 apply (zenon_L85_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H56 | zenon_intro zenon_H151 ]. % 0.63/0.85 exact (zenon_H55 zenon_H56). % 0.63/0.85 exact (zenon_H150 zenon_H151). % 0.63/0.85 (* end of lemma zenon_L87_ *) % 0.63/0.85 assert (zenon_L88_ : (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (ndr1_0) -> (~(c0_1 (a106))) -> (~(c2_1 (a106))) -> (c3_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H154 zenon_Ha zenon_H113 zenon_H114 zenon_H11f. % 0.63/0.85 generalize (zenon_H154 (a106)). zenon_intro zenon_H155. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H155); [ zenon_intro zenon_H9 | zenon_intro zenon_H156 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H156); [ zenon_intro zenon_H119 | zenon_intro zenon_H157 ]. % 0.63/0.85 exact (zenon_H113 zenon_H119). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H11b | zenon_intro zenon_H123 ]. % 0.63/0.85 exact (zenon_H114 zenon_H11b). % 0.63/0.85 exact (zenon_H123 zenon_H11f). % 0.63/0.85 (* end of lemma zenon_L88_ *) % 0.63/0.85 assert (zenon_L89_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H30 zenon_Ha zenon_H114 zenon_H154 zenon_H11f zenon_H115. % 0.63/0.85 generalize (zenon_H30 (a106)). zenon_intro zenon_H11c. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H11c); [ zenon_intro zenon_H9 | zenon_intro zenon_H11d ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11d); [ zenon_intro zenon_H11b | zenon_intro zenon_H11e ]. % 0.63/0.85 exact (zenon_H114 zenon_H11b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H11e); [ zenon_intro zenon_H113 | zenon_intro zenon_H11a ]. % 0.63/0.85 apply (zenon_L88_); trivial. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 (* end of lemma zenon_L89_ *) % 0.63/0.85 assert (zenon_L90_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a106))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H91 zenon_Ha zenon_H154 zenon_H114 zenon_H11f zenon_H115. % 0.63/0.85 generalize (zenon_H91 (a106)). zenon_intro zenon_H124. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_H9 | zenon_intro zenon_H125 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H113 | zenon_intro zenon_H122 ]. % 0.63/0.85 apply (zenon_L88_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H11a | zenon_intro zenon_H123 ]. % 0.63/0.85 exact (zenon_H11a zenon_H115). % 0.63/0.85 exact (zenon_H123 zenon_H11f). % 0.63/0.85 (* end of lemma zenon_L90_ *) % 0.63/0.85 assert (zenon_L91_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a106))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Ha6 zenon_Ha zenon_H154 zenon_H114 zenon_H11f zenon_H115. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.63/0.85 apply (zenon_L89_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.63/0.85 apply (zenon_L69_); trivial. % 0.63/0.85 apply (zenon_L90_); trivial. % 0.63/0.85 (* end of lemma zenon_L91_ *) % 0.63/0.85 assert (zenon_L92_ : (~(hskp19)) -> (hskp19) -> False). % 0.63/0.85 do 0 intro. intros zenon_H158 zenon_H159. % 0.63/0.85 exact (zenon_H158 zenon_H159). % 0.63/0.85 (* end of lemma zenon_L92_ *) % 0.63/0.85 assert (zenon_L93_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (c0_1 (a105)) -> (c2_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(hskp19)) -> (~(hskp5)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H15a zenon_H135 zenon_H134 zenon_H132 zenon_Ha zenon_H131 zenon_H158 zenon_H17. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H133 | zenon_intro zenon_H15b ]. % 0.63/0.85 apply (zenon_L81_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H159 | zenon_intro zenon_H18 ]. % 0.63/0.85 exact (zenon_H158 zenon_H159). % 0.63/0.85 exact (zenon_H17 zenon_H18). % 0.63/0.85 (* end of lemma zenon_L93_ *) % 0.63/0.85 assert (zenon_L94_ : (forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))) -> (ndr1_0) -> (~(c2_1 (a118))) -> (~(c3_1 (a118))) -> (c1_1 (a118)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H15c zenon_Ha zenon_Hc7 zenon_Hd3 zenon_Hc8. % 0.63/0.85 generalize (zenon_H15c (a118)). zenon_intro zenon_H15d. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H15d); [ zenon_intro zenon_H9 | zenon_intro zenon_H15e ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H15e); [ zenon_intro zenon_Hce | zenon_intro zenon_Hd6 ]. % 0.63/0.85 exact (zenon_Hc7 zenon_Hce). % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hd6); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hcd ]. % 0.63/0.85 exact (zenon_Hd3 zenon_Hd7). % 0.63/0.85 exact (zenon_Hcd zenon_Hc8). % 0.63/0.85 (* end of lemma zenon_L94_ *) % 0.63/0.85 assert (zenon_L95_ : (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a127))) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H131 zenon_Ha zenon_H15f zenon_H160 zenon_H161. % 0.63/0.85 generalize (zenon_H131 (a127)). zenon_intro zenon_H162. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H162); [ zenon_intro zenon_H9 | zenon_intro zenon_H163 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H163); [ zenon_intro zenon_H165 | zenon_intro zenon_H164 ]. % 0.63/0.85 exact (zenon_H15f zenon_H165). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H167 | zenon_intro zenon_H166 ]. % 0.63/0.85 exact (zenon_H160 zenon_H167). % 0.63/0.85 exact (zenon_H166 zenon_H161). % 0.63/0.85 (* end of lemma zenon_L95_ *) % 0.63/0.85 assert (zenon_L96_ : (forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68)))))) -> (ndr1_0) -> (~(c3_1 (a127))) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H168 zenon_Ha zenon_H160 zenon_H131 zenon_H161 zenon_H169. % 0.63/0.85 generalize (zenon_H168 (a127)). zenon_intro zenon_H16a. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_H9 | zenon_intro zenon_H16b ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H167 | zenon_intro zenon_H16c ]. % 0.63/0.85 exact (zenon_H160 zenon_H167). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 0.63/0.85 apply (zenon_L95_); trivial. % 0.63/0.85 exact (zenon_H16d zenon_H169). % 0.63/0.85 (* end of lemma zenon_L96_ *) % 0.63/0.85 assert (zenon_L97_ : ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (~(c2_1 (a118))) -> (c2_1 (a127)) -> (c0_1 (a127)) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c3_1 (a127))) -> (ndr1_0) -> (~(hskp5)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H16e zenon_Hc8 zenon_Hd3 zenon_Hc7 zenon_H169 zenon_H161 zenon_H131 zenon_H160 zenon_Ha zenon_H17. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H15c | zenon_intro zenon_H16f ]. % 0.63/0.85 apply (zenon_L94_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H168 | zenon_intro zenon_H18 ]. % 0.63/0.85 apply (zenon_L96_); trivial. % 0.63/0.85 exact (zenon_H17 zenon_H18). % 0.63/0.85 (* end of lemma zenon_L97_ *) % 0.63/0.85 assert (zenon_L98_ : ((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (~(c2_1 (a106))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (~(c2_1 (a118))) -> (~(hskp5)) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H170 zenon_H171 zenon_H114 zenon_Ha6 zenon_H15 zenon_H16e zenon_Hc8 zenon_Hd3 zenon_Hc7 zenon_H17 zenon_H115 zenon_H11f zenon_H144 zenon_H150. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H154 | zenon_intro zenon_H174 ]. % 0.63/0.85 apply (zenon_L91_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H91 | zenon_intro zenon_H151 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.63/0.85 apply (zenon_L79_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.63/0.85 apply (zenon_L97_); trivial. % 0.63/0.85 exact (zenon_H15 zenon_H16). % 0.63/0.85 exact (zenon_H150 zenon_H151). % 0.63/0.85 (* end of lemma zenon_L98_ *) % 0.63/0.85 assert (zenon_L99_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp8)) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H175 zenon_H129 zenon_H72 zenon_H6f zenon_H144 zenon_H132 zenon_H134 zenon_H135 zenon_H143 zenon_Ha6 zenon_H152 zenon_H150 zenon_H171 zenon_H15a zenon_H17 zenon_H16e zenon_H176 zenon_Hea zenon_H177. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.63/0.85 apply (zenon_L84_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_L87_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H171); [ zenon_intro zenon_H154 | zenon_intro zenon_H174 ]. % 0.63/0.85 apply (zenon_L91_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H174); [ zenon_intro zenon_H91 | zenon_intro zenon_H151 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.63/0.85 apply (zenon_L79_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.63/0.85 apply (zenon_L93_); trivial. % 0.63/0.85 exact (zenon_H15 zenon_H16). % 0.63/0.85 exact (zenon_H150 zenon_H151). % 0.63/0.85 apply (zenon_L98_); trivial. % 0.63/0.85 apply (zenon_L72_); trivial. % 0.63/0.85 (* end of lemma zenon_L99_ *) % 0.63/0.85 assert (zenon_L100_ : (forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5))))) -> (ndr1_0) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17d zenon_Ha zenon_H17e zenon_H17f zenon_H180. % 0.63/0.85 generalize (zenon_H17d (a104)). zenon_intro zenon_H181. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H181); [ zenon_intro zenon_H9 | zenon_intro zenon_H182 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H182); [ zenon_intro zenon_H184 | zenon_intro zenon_H183 ]. % 0.63/0.85 exact (zenon_H17e zenon_H184). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H183); [ zenon_intro zenon_H186 | zenon_intro zenon_H185 ]. % 0.63/0.85 exact (zenon_H17f zenon_H186). % 0.63/0.85 exact (zenon_H180 zenon_H185). % 0.63/0.85 (* end of lemma zenon_L100_ *) % 0.63/0.85 assert (zenon_L101_ : (~(hskp6)) -> (hskp6) -> False). % 0.63/0.85 do 0 intro. intros zenon_H187 zenon_H188. % 0.63/0.85 exact (zenon_H187 zenon_H188). % 0.63/0.85 (* end of lemma zenon_L101_ *) % 0.63/0.85 assert (zenon_L102_ : ((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp6)) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp0)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H4b zenon_H49 zenon_H187 zenon_Hc7 zenon_Hc8 zenon_H17e zenon_H17f zenon_H180 zenon_H189 zenon_H45. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.63/0.85 apply (zenon_L15_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17d | zenon_intro zenon_H18a ]. % 0.63/0.85 apply (zenon_L100_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5b | zenon_intro zenon_H188 ]. % 0.63/0.85 apply (zenon_L49_); trivial. % 0.63/0.85 exact (zenon_H187 zenon_H188). % 0.63/0.85 exact (zenon_H45 zenon_H46). % 0.63/0.85 (* end of lemma zenon_L102_ *) % 0.63/0.85 assert (zenon_L103_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_He8 zenon_Hea zenon_H47 zenon_H49 zenon_H45 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H1d zenon_H23 zenon_H21 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_H3 zenon_Hba zenon_Hb9 zenon_Hc5 zenon_H48. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_L47_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.63/0.85 apply (zenon_L11_); trivial. % 0.63/0.85 apply (zenon_L102_); trivial. % 0.63/0.85 (* end of lemma zenon_L103_ *) % 0.63/0.85 assert (zenon_L104_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp6)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H175 zenon_H189 zenon_H180 zenon_H17f zenon_H17e zenon_Ha6 zenon_H187. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17d | zenon_intro zenon_H18a ]. % 0.63/0.85 apply (zenon_L100_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5b | zenon_intro zenon_H188 ]. % 0.63/0.85 apply (zenon_L71_); trivial. % 0.63/0.85 exact (zenon_H187 zenon_H188). % 0.63/0.85 (* end of lemma zenon_L104_ *) % 0.63/0.85 assert (zenon_L105_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp13)) -> (ndr1_0) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp9)) -> (~(hskp22)) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c1_1 X76))\/((~(c2_1 X76))\/(~(c3_1 X76))))))\/((hskp9)\/(hskp22))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H143 zenon_H141 zenon_Ha zenon_H67 zenon_H68 zenon_Hf4 zenon_H18b zenon_H18c. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18c); [ zenon_intro zenon_H18e | zenon_intro zenon_H18d ]. % 0.63/0.85 generalize (zenon_H18e (a110)). zenon_intro zenon_H18f. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H18f); [ zenon_intro zenon_H9 | zenon_intro zenon_H190 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H191 | zenon_intro zenon_H6b ]. % 0.63/0.85 generalize (zenon_H133 (a110)). zenon_intro zenon_H192. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H192); [ zenon_intro zenon_H9 | zenon_intro zenon_H193 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H193); [ zenon_intro zenon_H194 | zenon_intro zenon_H6b ]. % 0.63/0.85 exact (zenon_H191 zenon_H194). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.63/0.85 exact (zenon_H6e zenon_H67). % 0.63/0.85 exact (zenon_H6d zenon_H68). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6e | zenon_intro zenon_H6d ]. % 0.63/0.85 exact (zenon_H6e zenon_H67). % 0.63/0.85 exact (zenon_H6d zenon_H68). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18d); [ zenon_intro zenon_Hf5 | zenon_intro zenon_H195 ]. % 0.63/0.85 exact (zenon_Hf4 zenon_Hf5). % 0.63/0.85 exact (zenon_H18b zenon_H195). % 0.63/0.85 exact (zenon_H141 zenon_H142). % 0.63/0.85 (* end of lemma zenon_L105_ *) % 0.63/0.85 assert (zenon_L106_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a149))) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40)))))) -> (c3_1 (a149)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H133 zenon_Ha zenon_H196 zenon_H8c zenon_H197. % 0.63/0.85 generalize (zenon_H133 (a149)). zenon_intro zenon_H198. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H198); [ zenon_intro zenon_H9 | zenon_intro zenon_H199 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H199); [ zenon_intro zenon_H19b | zenon_intro zenon_H19a ]. % 0.63/0.85 exact (zenon_H196 zenon_H19b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H19d | zenon_intro zenon_H19c ]. % 0.63/0.85 generalize (zenon_H8c (a149)). zenon_intro zenon_H19e. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H19e); [ zenon_intro zenon_H9 | zenon_intro zenon_H19f ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H19b | zenon_intro zenon_H1a0 ]. % 0.63/0.85 exact (zenon_H196 zenon_H19b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a0); [ zenon_intro zenon_H1a1 | zenon_intro zenon_H19c ]. % 0.63/0.85 exact (zenon_H19d zenon_H1a1). % 0.63/0.85 exact (zenon_H19c zenon_H197). % 0.63/0.85 exact (zenon_H19c zenon_H197). % 0.63/0.85 (* end of lemma zenon_L106_ *) % 0.63/0.85 assert (zenon_L107_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp13)) -> (c3_1 (a149)) -> (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40)))))) -> (~(c1_1 (a149))) -> (ndr1_0) -> False). % 0.63/0.85 do 0 intro. intros zenon_H143 zenon_H141 zenon_H197 zenon_H8c zenon_H196 zenon_Ha. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.63/0.85 apply (zenon_L106_); trivial. % 0.63/0.85 exact (zenon_H141 zenon_H142). % 0.63/0.85 (* end of lemma zenon_L107_ *) % 0.63/0.85 assert (zenon_L108_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H146 zenon_Ha zenon_H86 zenon_H3a zenon_H3c zenon_H3b. % 0.63/0.85 generalize (zenon_H146 (a133)). zenon_intro zenon_H1a2. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1a2); [ zenon_intro zenon_H9 | zenon_intro zenon_H1a3 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H87 | zenon_intro zenon_H3f ]. % 0.63/0.85 apply (zenon_L33_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H3f); [ zenon_intro zenon_H42 | zenon_intro zenon_H41 ]. % 0.63/0.85 exact (zenon_H42 zenon_H3b). % 0.63/0.85 exact (zenon_H41 zenon_H3c). % 0.63/0.85 (* end of lemma zenon_L108_ *) % 0.63/0.85 assert (zenon_L109_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (ndr1_0) -> (~(hskp16)) -> (~(hskp8)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H152 zenon_H3b zenon_H3c zenon_H3a zenon_H86 zenon_Ha zenon_H55 zenon_H150. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H146 | zenon_intro zenon_H153 ]. % 0.63/0.85 apply (zenon_L108_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H153); [ zenon_intro zenon_H56 | zenon_intro zenon_H151 ]. % 0.63/0.85 exact (zenon_H55 zenon_H56). % 0.63/0.85 exact (zenon_H150 zenon_H151). % 0.63/0.85 (* end of lemma zenon_L109_ *) % 0.63/0.85 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hf0 zenon_H47 zenon_H49 zenon_H45 zenon_Hf4 zenon_H1a4 zenon_Hc zenon_Hd zenon_He zenon_H3 zenon_H1d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.63/0.85 apply (zenon_L11_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.63/0.85 apply (zenon_L15_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1a5 ]. % 0.63/0.85 apply (zenon_L51_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf5 ]. % 0.63/0.85 apply (zenon_L6_); trivial. % 0.63/0.85 exact (zenon_Hf4 zenon_Hf5). % 0.63/0.85 exact (zenon_H45 zenon_H46). % 0.63/0.85 (* end of lemma zenon_L110_ *) % 0.63/0.85 assert (zenon_L111_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp10)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1a6 zenon_H149 zenon_H148 zenon_H147 zenon_Ha zenon_H1 zenon_H21. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H146 | zenon_intro zenon_H1a7 ]. % 0.63/0.85 apply (zenon_L85_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H2 | zenon_intro zenon_H22 ]. % 0.63/0.85 exact (zenon_H1 zenon_H2). % 0.63/0.85 exact (zenon_H21 zenon_H22). % 0.63/0.85 (* end of lemma zenon_L111_ *) % 0.63/0.85 assert (zenon_L112_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (ndr1_0) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hf3 zenon_Hea zenon_H47 zenon_H49 zenon_H45 zenon_Hf4 zenon_H1a4 zenon_H3 zenon_H1d zenon_H150 zenon_H152 zenon_Ha zenon_H147 zenon_H148 zenon_H149 zenon_H21 zenon_H1a6. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L111_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_L87_); trivial. % 0.63/0.85 apply (zenon_L110_); trivial. % 0.63/0.85 (* end of lemma zenon_L112_ *) % 0.63/0.85 assert (zenon_L113_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H47 zenon_H49 zenon_H45 zenon_Hf4 zenon_H1a4 zenon_H3 zenon_H1d zenon_H150 zenon_H152 zenon_H21 zenon_H1a6. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.63/0.85 apply (zenon_L112_); trivial. % 0.63/0.85 (* end of lemma zenon_L113_ *) % 0.63/0.85 assert (zenon_L114_ : (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (ndr1_0) -> (~(c1_1 (a103))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H131 zenon_Ha zenon_H1a8 zenon_H1a9 zenon_H1aa. % 0.63/0.85 generalize (zenon_H131 (a103)). zenon_intro zenon_H1ab. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1ab); [ zenon_intro zenon_H9 | zenon_intro zenon_H1ac ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ac); [ zenon_intro zenon_H1ae | zenon_intro zenon_H1ad ]. % 0.63/0.85 exact (zenon_H1a8 zenon_H1ae). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ad); [ zenon_intro zenon_H1b0 | zenon_intro zenon_H1af ]. % 0.63/0.85 exact (zenon_H1a9 zenon_H1b0). % 0.63/0.85 exact (zenon_H1af zenon_H1aa). % 0.63/0.85 (* end of lemma zenon_L114_ *) % 0.63/0.85 assert (zenon_L115_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a103))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H175 zenon_H129 zenon_H1b1 zenon_Ha6 zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H144. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.63/0.85 apply (zenon_L80_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.63/0.85 apply (zenon_L114_); trivial. % 0.63/0.85 exact (zenon_H15 zenon_H16). % 0.63/0.85 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H154 | zenon_intro zenon_H1b2 ]. % 0.63/0.85 apply (zenon_L91_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H65 | zenon_intro zenon_H131 ]. % 0.63/0.85 apply (zenon_L25_); trivial. % 0.63/0.85 apply (zenon_L114_); trivial. % 0.63/0.85 (* end of lemma zenon_L115_ *) % 0.63/0.85 assert (zenon_L116_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a105))) -> (c0_1 (a105)) -> (c2_1 (a105)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1b3 zenon_Ha zenon_H132 zenon_H135 zenon_H134. % 0.63/0.85 generalize (zenon_H1b3 (a105)). zenon_intro zenon_H1b4. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1b4); [ zenon_intro zenon_H9 | zenon_intro zenon_H1b5 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b5); [ zenon_intro zenon_H139 | zenon_intro zenon_H1b6 ]. % 0.63/0.85 exact (zenon_H132 zenon_H139). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b6); [ zenon_intro zenon_H13a | zenon_intro zenon_H140 ]. % 0.63/0.85 exact (zenon_H13a zenon_H135). % 0.63/0.85 exact (zenon_H140 zenon_H134). % 0.63/0.85 (* end of lemma zenon_L116_ *) % 0.63/0.85 assert (zenon_L117_ : ((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1b7 zenon_H1b8 zenon_H1aa zenon_H1a9 zenon_H1a8. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.63/0.85 apply (zenon_L114_); trivial. % 0.63/0.85 apply (zenon_L116_); trivial. % 0.63/0.85 (* end of lemma zenon_L117_ *) % 0.63/0.85 assert (zenon_L118_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> (~(hskp6)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H71 zenon_H189 zenon_H180 zenon_H17f zenon_H17e zenon_H187. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17d | zenon_intro zenon_H18a ]. % 0.63/0.85 apply (zenon_L100_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5b | zenon_intro zenon_H188 ]. % 0.63/0.85 apply (zenon_L24_); trivial. % 0.63/0.85 exact (zenon_H187 zenon_H188). % 0.63/0.85 (* end of lemma zenon_L118_ *) % 0.63/0.85 assert (zenon_L119_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> (~(hskp23)) -> (~(hskp16)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H58 zenon_H55 zenon_H57. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.85 apply (zenon_L23_); trivial. % 0.63/0.85 apply (zenon_L118_); trivial. % 0.63/0.85 (* end of lemma zenon_L119_ *) % 0.63/0.85 assert (zenon_L120_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp6)) -> (~(hskp3)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hb8 zenon_H1bb zenon_H187 zenon_H5. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1bb); [ zenon_intro zenon_H30 | zenon_intro zenon_H1bc ]. % 0.63/0.85 apply (zenon_L32_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1bc); [ zenon_intro zenon_H188 | zenon_intro zenon_H6 ]. % 0.63/0.85 exact (zenon_H187 zenon_H188). % 0.63/0.85 exact (zenon_H5 zenon_H6). % 0.63/0.85 (* end of lemma zenon_L120_ *) % 0.63/0.85 assert (zenon_L121_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hc5 zenon_H1bb zenon_H5 zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.63/0.85 apply (zenon_L119_); trivial. % 0.63/0.85 apply (zenon_L120_); trivial. % 0.63/0.85 (* end of lemma zenon_L121_ *) % 0.63/0.85 assert (zenon_L122_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_He8 zenon_Hea zenon_H47 zenon_H49 zenon_H45 zenon_Hf4 zenon_H1a4 zenon_H3 zenon_H1d zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_H5 zenon_H1bb zenon_Hc5. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_L121_); trivial. % 0.63/0.85 apply (zenon_L110_); trivial. % 0.63/0.85 (* end of lemma zenon_L122_ *) % 0.63/0.85 assert (zenon_L123_ : (forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68)))))) -> (ndr1_0) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H168 zenon_Ha zenon_H1bd zenon_H1be zenon_H1bf. % 0.63/0.85 generalize (zenon_H168 (a102)). zenon_intro zenon_H1c0. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1c0); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c1 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c2 ]. % 0.63/0.85 exact (zenon_H1bd zenon_H1c3). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ]. % 0.63/0.85 exact (zenon_H1c5 zenon_H1be). % 0.63/0.85 exact (zenon_H1c4 zenon_H1bf). % 0.63/0.85 (* end of lemma zenon_L123_ *) % 0.63/0.85 assert (zenon_L124_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (~(hskp5)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hf0 zenon_H16e zenon_H1bf zenon_H1be zenon_H1bd zenon_H17. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16e); [ zenon_intro zenon_H15c | zenon_intro zenon_H16f ]. % 0.63/0.85 apply (zenon_L94_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H168 | zenon_intro zenon_H18 ]. % 0.63/0.85 apply (zenon_L123_); trivial. % 0.63/0.85 exact (zenon_H17 zenon_H18). % 0.63/0.85 (* end of lemma zenon_L124_ *) % 0.63/0.85 assert (zenon_L125_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp5)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((hskp14)\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1c6 zenon_He9 zenon_H111 zenon_H10c zenon_H1d zenon_H4a zenon_H45 zenon_H49 zenon_H47 zenon_Hf3 zenon_H19 zenon_H17 zenon_H12a zenon_H7 zenon_H5 zenon_H3 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Hba zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H6f zenon_H72 zenon_H76 zenon_H21 zenon_H23 zenon_H1bd zenon_H1be zenon_H1bf zenon_H16e zenon_Hea zenon_H129. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.85 apply (zenon_L75_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L4_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_L47_); trivial. % 0.63/0.85 apply (zenon_L124_); trivial. % 0.63/0.85 apply (zenon_L76_); trivial. % 0.63/0.85 (* end of lemma zenon_L125_ *) % 0.63/0.85 assert (zenon_L126_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp9)\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H175 zenon_H129 zenon_H72 zenon_H6f zenon_Ha6 zenon_Hf8 zenon_Hf6 zenon_Hf4 zenon_H17 zenon_H19 zenon_Hf3. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.63/0.85 apply (zenon_L73_); trivial. % 0.63/0.85 (* end of lemma zenon_L126_ *) % 0.63/0.85 assert (zenon_L127_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H129 zenon_H72 zenon_H6f zenon_H114 zenon_H115 zenon_H11f zenon_Ha6 zenon_H12a zenon_H79 zenon_H17 zenon_H19 zenon_Hf3. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.85 apply (zenon_L75_); trivial. % 0.63/0.85 apply (zenon_L72_); trivial. % 0.63/0.85 (* end of lemma zenon_L127_ *) % 0.63/0.85 assert (zenon_L128_ : (forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52)))))) -> (ndr1_0) -> (~(c3_1 (a102))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1c7 zenon_Ha zenon_H1bd zenon_H90 zenon_H1be zenon_H1bf. % 0.63/0.85 generalize (zenon_H1c7 (a102)). zenon_intro zenon_H1c8. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c9 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1ca ]. % 0.63/0.85 exact (zenon_H1bd zenon_H1c3). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1c5 ]. % 0.63/0.85 generalize (zenon_H90 (a102)). zenon_intro zenon_H1cc. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1cc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1cd ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1cd); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1c2 ]. % 0.63/0.85 exact (zenon_H1cb zenon_H1ce). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c2); [ zenon_intro zenon_H1c5 | zenon_intro zenon_H1c4 ]. % 0.63/0.85 exact (zenon_H1c5 zenon_H1be). % 0.63/0.85 exact (zenon_H1c4 zenon_H1bf). % 0.63/0.85 exact (zenon_H1c5 zenon_H1be). % 0.63/0.85 (* end of lemma zenon_L128_ *) % 0.63/0.85 assert (zenon_L129_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1cf zenon_H149 zenon_H148 zenon_H147 zenon_H1bf zenon_H1be zenon_H90 zenon_H1bd zenon_Ha zenon_H55. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.63/0.85 apply (zenon_L85_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.63/0.85 apply (zenon_L128_); trivial. % 0.63/0.85 exact (zenon_H55 zenon_H56). % 0.63/0.85 (* end of lemma zenon_L129_ *) % 0.63/0.85 assert (zenon_L130_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17a zenon_Hea zenon_H16e zenon_H17 zenon_Hfb zenon_Hfc zenon_Hfd zenon_H1cf zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha6 zenon_H11f zenon_H115 zenon_H114 zenon_H111. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.63/0.85 apply (zenon_L59_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.63/0.85 apply (zenon_L129_); trivial. % 0.63/0.85 apply (zenon_L80_); trivial. % 0.63/0.85 apply (zenon_L124_); trivial. % 0.63/0.85 (* end of lemma zenon_L130_ *) % 0.63/0.85 assert (zenon_L131_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp5)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H175 zenon_H1c6 zenon_H144 zenon_H132 zenon_H134 zenon_H135 zenon_H143 zenon_H111 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1cf zenon_H16e zenon_Hea zenon_H177 zenon_Hf3 zenon_H19 zenon_H17 zenon_H12a zenon_Ha6 zenon_H6f zenon_H72 zenon_H129. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.63/0.85 apply (zenon_L127_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.63/0.85 apply (zenon_L84_); trivial. % 0.63/0.85 apply (zenon_L130_); trivial. % 0.63/0.85 apply (zenon_L72_); trivial. % 0.63/0.85 (* end of lemma zenon_L131_ *) % 0.63/0.85 assert (zenon_L132_ : (forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52)))))) -> (ndr1_0) -> (~(c3_1 (a102))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1c7 zenon_Ha zenon_H1bd zenon_Hfa zenon_H1bf zenon_H1be. % 0.63/0.85 generalize (zenon_H1c7 (a102)). zenon_intro zenon_H1c8. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c9 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1ca ]. % 0.63/0.85 exact (zenon_H1bd zenon_H1c3). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1c5 ]. % 0.63/0.85 generalize (zenon_Hfa (a102)). zenon_intro zenon_H1d1. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1d1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1d2 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d2); [ zenon_intro zenon_H1ce | zenon_intro zenon_H1d3 ]. % 0.63/0.85 exact (zenon_H1cb zenon_H1ce). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c4 ]. % 0.63/0.85 exact (zenon_H1bd zenon_H1c3). % 0.63/0.85 exact (zenon_H1c4 zenon_H1bf). % 0.63/0.85 exact (zenon_H1c5 zenon_H1be). % 0.63/0.85 (* end of lemma zenon_L132_ *) % 0.63/0.85 assert (zenon_L133_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp13)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1d4 zenon_He zenon_Hc zenon_H30 zenon_H196 zenon_H197 zenon_H141 zenon_H143 zenon_H1cf zenon_H3b zenon_H3c zenon_H3a zenon_H1be zenon_H1bf zenon_Hfa zenon_H1bd zenon_Ha zenon_H55. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.85 apply (zenon_L16_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.85 apply (zenon_L107_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.63/0.85 apply (zenon_L108_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.63/0.85 apply (zenon_L132_); trivial. % 0.63/0.85 exact (zenon_H55 zenon_H56). % 0.63/0.85 (* end of lemma zenon_L133_ *) % 0.63/0.85 assert (zenon_L134_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1cf zenon_H3b zenon_H3c zenon_H3a zenon_H86 zenon_H1bf zenon_H1be zenon_H90 zenon_H1bd zenon_Ha zenon_H55. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.63/0.85 apply (zenon_L108_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.63/0.85 apply (zenon_L128_); trivial. % 0.63/0.85 exact (zenon_H55 zenon_H56). % 0.63/0.85 (* end of lemma zenon_L134_ *) % 0.63/0.85 assert (zenon_L135_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp16)) -> (ndr1_0) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Ha4 zenon_H55 zenon_Ha zenon_H1bd zenon_H1be zenon_H1bf zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_Ha2 zenon_H79. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.63/0.85 apply (zenon_L129_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.63/0.85 exact (zenon_Ha2 zenon_Ha3). % 0.63/0.85 exact (zenon_H79 zenon_H7a). % 0.63/0.85 (* end of lemma zenon_L135_ *) % 0.63/0.85 assert (zenon_L136_ : ((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(hskp16)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hbe zenon_Hb6 zenon_H55 zenon_H1bd zenon_H1be zenon_H1bf zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_H3c zenon_H3b zenon_H3a. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.63/0.85 apply (zenon_L129_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.63/0.85 apply (zenon_L17_); trivial. % 0.63/0.85 apply (zenon_L42_); trivial. % 0.63/0.85 (* end of lemma zenon_L136_ *) % 0.63/0.85 assert (zenon_L137_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H4e zenon_Hbb zenon_Hb6 zenon_H1cf zenon_H55 zenon_H1bf zenon_H1be zenon_H1bd zenon_H149 zenon_H148 zenon_H147 zenon_H79 zenon_Ha4. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.63/0.85 apply (zenon_L135_); trivial. % 0.63/0.85 apply (zenon_L136_); trivial. % 0.63/0.85 (* end of lemma zenon_L137_ *) % 0.63/0.85 assert (zenon_L138_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H48 zenon_Hbb zenon_Hb6 zenon_H1cf zenon_H55 zenon_H1bf zenon_H1be zenon_H1bd zenon_H149 zenon_H148 zenon_H147 zenon_H79 zenon_Ha4 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.85 apply (zenon_L14_); trivial. % 0.63/0.85 apply (zenon_L137_); trivial. % 0.63/0.85 (* end of lemma zenon_L138_ *) % 0.63/0.85 assert (zenon_L139_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H47 zenon_H49 zenon_H45 zenon_Hf4 zenon_H1a4 zenon_H3 zenon_H1d zenon_H23 zenon_Ha4 zenon_H79 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1cf zenon_Hb6 zenon_Hbb zenon_H48 zenon_H21 zenon_H1a6. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.85 apply (zenon_L111_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.85 apply (zenon_L138_); trivial. % 0.63/0.85 apply (zenon_L110_); trivial. % 0.63/0.85 (* end of lemma zenon_L139_ *) % 0.63/0.85 assert (zenon_L140_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40)))))) -> (ndr1_0) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H8c zenon_Ha zenon_H1d6 zenon_H1d7 zenon_H1d8. % 0.63/0.85 generalize (zenon_H8c (a101)). zenon_intro zenon_H1d9. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1d9); [ zenon_intro zenon_H9 | zenon_intro zenon_H1da ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1db ]. % 0.63/0.85 exact (zenon_H1d6 zenon_H1dc). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H1de | zenon_intro zenon_H1dd ]. % 0.63/0.85 exact (zenon_H1d7 zenon_H1de). % 0.63/0.85 exact (zenon_H1dd zenon_H1d8). % 0.63/0.85 (* end of lemma zenon_L140_ *) % 0.63/0.85 assert (zenon_L141_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a133)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H91 zenon_Ha zenon_H3b zenon_H2f zenon_H3a zenon_H3c. % 0.63/0.85 generalize (zenon_H91 (a133)). zenon_intro zenon_H1df. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1df); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e0 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_H42 | zenon_intro zenon_H8a ]. % 0.63/0.85 exact (zenon_H42 zenon_H3b). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H8a); [ zenon_intro zenon_H8b | zenon_intro zenon_H41 ]. % 0.63/0.85 generalize (zenon_H2f (a133)). zenon_intro zenon_H1e1. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1e1); [ zenon_intro zenon_H9 | zenon_intro zenon_H1e2 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_H87 | zenon_intro zenon_H1e3 ]. % 0.63/0.85 exact (zenon_H8b zenon_H87). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_H40 | zenon_intro zenon_H42 ]. % 0.63/0.85 exact (zenon_H3a zenon_H40). % 0.63/0.85 exact (zenon_H42 zenon_H3b). % 0.63/0.85 exact (zenon_H41 zenon_H3c). % 0.63/0.85 (* end of lemma zenon_L141_ *) % 0.63/0.85 assert (zenon_L142_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (ndr1_0) -> (c0_1 (a133)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_He zenon_Hc zenon_Ha zenon_H3b zenon_H2f zenon_H3a zenon_H3c. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.85 apply (zenon_L140_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.85 apply (zenon_L16_); trivial. % 0.63/0.85 apply (zenon_L141_); trivial. % 0.63/0.85 (* end of lemma zenon_L142_ *) % 0.63/0.85 assert (zenon_L143_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H4a zenon_Hc zenon_He zenon_H86 zenon_Ha0 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H43. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2f | zenon_intro zenon_H52 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.85 apply (zenon_L34_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.85 apply (zenon_L16_); trivial. % 0.63/0.85 apply (zenon_L141_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H39 | zenon_intro zenon_H44 ]. % 0.63/0.85 apply (zenon_L17_); trivial. % 0.63/0.85 exact (zenon_H43 zenon_H44). % 0.63/0.85 (* end of lemma zenon_L143_ *) % 0.63/0.85 assert (zenon_L144_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H48 zenon_H1d4 zenon_H43 zenon_H4a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.85 apply (zenon_L14_); trivial. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.85 apply (zenon_L142_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.85 apply (zenon_L140_); trivial. % 0.63/0.85 apply (zenon_L143_); trivial. % 0.63/0.85 (* end of lemma zenon_L144_ *) % 0.63/0.85 assert (zenon_L145_ : (~(hskp18)) -> (hskp18) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1e4 zenon_H1e5. % 0.63/0.85 exact (zenon_H1e4 zenon_H1e5). % 0.63/0.85 (* end of lemma zenon_L145_ *) % 0.63/0.85 assert (zenon_L146_ : ((hskp18)\/((hskp19)\/(hskp13))) -> (~(hskp18)) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1e6 zenon_H1e4 zenon_H158 zenon_H141. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H1e7 ]. % 0.63/0.85 exact (zenon_H1e4 zenon_H1e5). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H159 | zenon_intro zenon_H142 ]. % 0.63/0.85 exact (zenon_H158 zenon_H159). % 0.63/0.85 exact (zenon_H141 zenon_H142). % 0.63/0.85 (* end of lemma zenon_L146_ *) % 0.63/0.85 assert (zenon_L147_ : (~(hskp28)) -> (hskp28) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1e8 zenon_H1e9. % 0.63/0.85 exact (zenon_H1e8 zenon_H1e9). % 0.63/0.85 (* end of lemma zenon_L147_ *) % 0.63/0.85 assert (zenon_L148_ : ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a127)) -> (c0_1 (a127)) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c3_1 (a127))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp18)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1ea zenon_H169 zenon_H161 zenon_H131 zenon_H160 zenon_Ha zenon_H1e8 zenon_H1e4. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H168 | zenon_intro zenon_H1eb ]. % 0.63/0.85 apply (zenon_L96_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e5 ]. % 0.63/0.85 exact (zenon_H1e8 zenon_H1e9). % 0.63/0.85 exact (zenon_H1e4 zenon_H1e5). % 0.63/0.85 (* end of lemma zenon_L148_ *) % 0.63/0.85 assert (zenon_L149_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> (~(c0_1 (a116))) -> (~(hskp18)) -> (~(hskp28)) -> (ndr1_0) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp12)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H144 zenon_Hd9 zenon_Hda zenon_Hd8 zenon_H1e4 zenon_H1e8 zenon_Ha zenon_H160 zenon_H161 zenon_H169 zenon_H1ea zenon_H15. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.63/0.85 apply (zenon_L62_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.63/0.85 apply (zenon_L148_); trivial. % 0.63/0.85 exact (zenon_H15 zenon_H16). % 0.63/0.85 (* end of lemma zenon_L149_ *) % 0.63/0.85 assert (zenon_L150_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (c0_1 (a142)) -> (c1_1 (a142)) -> (c3_1 (a142)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H91 zenon_Ha zenon_H1ec zenon_H1ed zenon_H1ee. % 0.63/0.85 generalize (zenon_H91 (a142)). zenon_intro zenon_H1ef. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1ef); [ zenon_intro zenon_H9 | zenon_intro zenon_H1f0 ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1f0); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f1 ]. % 0.63/0.85 exact (zenon_H1f2 zenon_H1ec). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1f1); [ zenon_intro zenon_H1f4 | zenon_intro zenon_H1f3 ]. % 0.63/0.85 exact (zenon_H1f4 zenon_H1ed). % 0.63/0.85 exact (zenon_H1f3 zenon_H1ee). % 0.63/0.85 (* end of lemma zenon_L150_ *) % 0.63/0.85 assert (zenon_L151_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (c0_1 (a142)) -> (c1_1 (a142)) -> (c3_1 (a142)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_He zenon_Hc zenon_H2f zenon_Ha zenon_H1ec zenon_H1ed zenon_H1ee. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.85 apply (zenon_L140_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.85 apply (zenon_L16_); trivial. % 0.63/0.85 apply (zenon_L150_); trivial. % 0.63/0.85 (* end of lemma zenon_L151_ *) % 0.63/0.85 assert (zenon_L152_ : ((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c1_1 (a153)) -> (~(c2_1 (a153))) -> (~(c0_1 (a153))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> (~(c0_1 (a116))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1f5 zenon_H72 zenon_H5e zenon_H5d zenon_H5c zenon_Hda zenon_Hd9 zenon_Hd8 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_He zenon_Hc zenon_H1d4 zenon_H6f. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.85 apply (zenon_L24_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.85 apply (zenon_L151_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.85 apply (zenon_L140_); trivial. % 0.63/0.85 apply (zenon_L52_); trivial. % 0.63/0.85 exact (zenon_H6f zenon_H70). % 0.63/0.85 (* end of lemma zenon_L152_ *) % 0.63/0.85 assert (zenon_L153_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a116))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a127)) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H71 zenon_H1f8 zenon_H72 zenon_H6f zenon_Ha0 zenon_He zenon_Hc zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_Hd8 zenon_Hda zenon_Hd9 zenon_H1ea zenon_H1e4 zenon_H169 zenon_H161 zenon_H160 zenon_H15 zenon_H144. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.63/0.85 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.63/0.85 apply (zenon_L149_); trivial. % 0.63/0.85 apply (zenon_L152_); trivial. % 0.63/0.85 (* end of lemma zenon_L153_ *) % 0.63/0.85 assert (zenon_L154_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a116))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a127)) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(hskp23)) -> (~(hskp16)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> False). % 0.63/0.85 do 0 intro. intros zenon_H76 zenon_H1f8 zenon_H72 zenon_H6f zenon_Ha0 zenon_He zenon_Hc zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_Hd8 zenon_Hda zenon_Hd9 zenon_H1ea zenon_H1e4 zenon_H169 zenon_H161 zenon_H160 zenon_H15 zenon_H144 zenon_H58 zenon_H55 zenon_H57. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.85 apply (zenon_L23_); trivial. % 0.63/0.85 apply (zenon_L153_); trivial. % 0.63/0.85 (* end of lemma zenon_L154_ *) % 0.63/0.85 assert (zenon_L155_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(c3_1 (a124))) -> (~(c1_1 (a124))) -> (~(c0_1 (a124))) -> (~(hskp0)) -> False). % 0.63/0.85 do 0 intro. intros zenon_Hb8 zenon_H49 zenon_H28 zenon_H27 zenon_H26 zenon_H45. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.63/0.85 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.63/0.85 apply (zenon_L15_); trivial. % 0.63/0.85 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.63/0.85 apply (zenon_L32_); trivial. % 0.63/0.85 exact (zenon_H45 zenon_H46). % 0.63/0.85 (* end of lemma zenon_L155_ *) % 0.63/0.85 assert (zenon_L156_ : (forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52)))))) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> False). % 0.63/0.85 do 0 intro. intros zenon_H1c7 zenon_Ha zenon_H1f9 zenon_H1fa zenon_H1fb. % 0.63/0.85 generalize (zenon_H1c7 (a125)). zenon_intro zenon_H1fc. % 0.63/0.85 apply (zenon_imply_s _ _ zenon_H1fc); [ zenon_intro zenon_H9 | zenon_intro zenon_H1fd ]. % 0.63/0.85 exact (zenon_H9 zenon_Ha). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1ff | zenon_intro zenon_H1fe ]. % 0.63/0.85 exact (zenon_H1f9 zenon_H1ff). % 0.63/0.85 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_H201 | zenon_intro zenon_H200 ]. % 0.63/0.86 exact (zenon_H201 zenon_H1fa). % 0.63/0.86 exact (zenon_H200 zenon_H1fb). % 0.63/0.86 (* end of lemma zenon_L156_ *) % 0.63/0.86 assert (zenon_L157_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1cf zenon_H3b zenon_H3c zenon_H3a zenon_H86 zenon_H1fb zenon_H1fa zenon_H1f9 zenon_Ha zenon_H55. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.63/0.86 apply (zenon_L108_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.63/0.86 apply (zenon_L156_); trivial. % 0.63/0.86 exact (zenon_H55 zenon_H56). % 0.63/0.86 (* end of lemma zenon_L157_ *) % 0.63/0.86 assert (zenon_L158_ : ((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a124))) -> (~(c1_1 (a124))) -> (~(c0_1 (a124))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H202 zenon_H48 zenon_H49 zenon_H45 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1cf zenon_H55 zenon_H1d4 zenon_H28 zenon_H27 zenon_H26 zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Ha. zenon_intro zenon_H203. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1fa. zenon_intro zenon_H204. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.86 apply (zenon_L14_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.63/0.86 apply (zenon_L15_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.86 apply (zenon_L16_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_L157_); trivial. % 0.63/0.86 exact (zenon_H45 zenon_H46). % 0.63/0.86 (* end of lemma zenon_L158_ *) % 0.63/0.86 assert (zenon_L159_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp1)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(hskp13)) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_Hea zenon_Hf4 zenon_H1a4 zenon_H1d zenon_H3 zenon_H176 zenon_Hc5 zenon_H49 zenon_H45 zenon_H57 zenon_H144 zenon_H1ea zenon_H6f zenon_H72 zenon_H1f8 zenon_H76 zenon_H141 zenon_H1e6 zenon_H1cf zenon_H205 zenon_H47 zenon_H23 zenon_H21 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1d4 zenon_H48 zenon_H15 zenon_H79 zenon_H12a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.86 apply (zenon_L74_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.63/0.86 apply (zenon_L144_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.63/0.86 apply (zenon_L11_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.63/0.86 apply (zenon_L146_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.63/0.86 apply (zenon_L154_); trivial. % 0.63/0.86 apply (zenon_L155_); trivial. % 0.63/0.86 apply (zenon_L158_); trivial. % 0.63/0.86 apply (zenon_L110_); trivial. % 0.63/0.86 (* end of lemma zenon_L159_ *) % 0.63/0.86 assert (zenon_L160_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c2_1 (a118))) -> (ndr1_0) -> (c0_1 (a133)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hc8 zenon_Hd3 zenon_Hd2 zenon_Hc7 zenon_Ha zenon_H3b zenon_H2f zenon_H3a zenon_H3c. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L51_); trivial. % 0.63/0.86 apply (zenon_L141_); trivial. % 0.63/0.86 (* end of lemma zenon_L160_ *) % 0.63/0.86 assert (zenon_L161_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a118))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a118))) -> (c1_1 (a118)) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (~(hskp15)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1d4 zenon_Hc7 zenon_Hd2 zenon_Hd3 zenon_Hc8 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_Hc zenon_He zenon_Ha0 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H43. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.86 apply (zenon_L160_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_L143_); trivial. % 0.63/0.86 (* end of lemma zenon_L161_ *) % 0.63/0.86 assert (zenon_L162_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_He6 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H43 zenon_H1d4 zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.86 apply (zenon_L14_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.63/0.86 apply (zenon_L161_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L17_); trivial. % 0.63/0.86 apply (zenon_L143_); trivial. % 0.63/0.86 (* end of lemma zenon_L162_ *) % 0.63/0.86 assert (zenon_L163_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c1_1 (a118)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a118))) -> (ndr1_0) -> (c0_1 (a133)) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hc8 zenon_H5b zenon_Hc7 zenon_Ha zenon_H3b zenon_H2f zenon_H3a zenon_H3c. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L49_); trivial. % 0.63/0.86 apply (zenon_L141_); trivial. % 0.63/0.86 (* end of lemma zenon_L163_ *) % 0.63/0.86 assert (zenon_L164_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (c1_1 (a118)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a118))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H3c zenon_H3a zenon_H86 zenon_Hc8 zenon_H5b zenon_Hc7 zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L34_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L49_); trivial. % 0.63/0.86 apply (zenon_L35_); trivial. % 0.63/0.86 (* end of lemma zenon_L164_ *) % 0.63/0.86 assert (zenon_L165_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c0_1 (a133)) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (c1_1 (a118)) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a118))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1d4 zenon_H3b zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha0 zenon_H3c zenon_H3a zenon_Hc8 zenon_H5b zenon_Hc7 zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.86 apply (zenon_L163_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_L164_); trivial. % 0.63/0.86 (* end of lemma zenon_L165_ *) % 0.63/0.86 assert (zenon_L166_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (ndr1_0) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a118)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (c0_1 (a133)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha4 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_Hc7 zenon_H5b zenon_Hc8 zenon_H3a zenon_H3c zenon_Ha0 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H3b zenon_H1d4 zenon_Ha2 zenon_H79. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.63/0.86 apply (zenon_L165_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.63/0.86 exact (zenon_Ha2 zenon_Ha3). % 0.63/0.86 exact (zenon_H79 zenon_H7a). % 0.63/0.86 (* end of lemma zenon_L166_ *) % 0.63/0.86 assert (zenon_L167_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (~(c2_1 (a118))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> False). % 0.63/0.86 do 0 intro. intros zenon_He6 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Hc8 zenon_Hd3 zenon_Hc7 zenon_H1d4 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H65 zenon_Hd8 zenon_Hd9 zenon_Hda. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.86 apply (zenon_L160_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_L52_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L17_); trivial. % 0.63/0.86 apply (zenon_L52_); trivial. % 0.63/0.86 (* end of lemma zenon_L167_ *) % 0.63/0.86 assert (zenon_L168_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a118)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (c0_1 (a94)) -> (c1_1 (a94)) -> (c2_1 (a94)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hb6 zenon_H94 zenon_H93 zenon_H92 zenon_Hc7 zenon_H5b zenon_Hc8 zenon_Ha0 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H1d4 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_Had zenon_Hae zenon_Haf. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.63/0.86 apply (zenon_L165_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.63/0.86 apply (zenon_L17_); trivial. % 0.63/0.86 apply (zenon_L42_); trivial. % 0.63/0.86 (* end of lemma zenon_L168_ *) % 0.63/0.86 assert (zenon_L169_ : ((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a116)) -> (c3_1 (a116)) -> (~(c0_1 (a116))) -> (~(c3_1 (a118))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hbe zenon_Hb9 zenon_H72 zenon_H6f zenon_Hda zenon_Hd9 zenon_Hd8 zenon_Hd3 zenon_He6 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hc7 zenon_Hc8 zenon_H3b zenon_H3a zenon_H3c zenon_Ha0 zenon_Hb6 zenon_H53 zenon_H79 zenon_H7b. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L31_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.86 apply (zenon_L168_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.86 apply (zenon_L167_); trivial. % 0.63/0.86 exact (zenon_H6f zenon_H70). % 0.63/0.86 (* end of lemma zenon_L169_ *) % 0.63/0.86 assert (zenon_L170_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> (~(c0_1 (a116))) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a118))) -> (~(c3_1 (a118))) -> (c1_1 (a118)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H71 zenon_H72 zenon_Hda zenon_Hd9 zenon_Hd8 zenon_H3a zenon_H3b zenon_H3c zenon_H1d4 zenon_Hc7 zenon_Hd3 zenon_Hc8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_He6 zenon_H6f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.86 apply (zenon_L24_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.86 apply (zenon_L167_); trivial. % 0.63/0.86 exact (zenon_H6f zenon_H70). % 0.63/0.86 (* end of lemma zenon_L170_ *) % 0.63/0.86 assert (zenon_L171_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c1_1 (a116)) -> (c3_1 (a116)) -> (~(c0_1 (a116))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_Hda zenon_Hd9 zenon_Hd8 zenon_He6 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.86 apply (zenon_L14_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L31_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.86 apply (zenon_L166_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.86 apply (zenon_L167_); trivial. % 0.63/0.86 exact (zenon_H6f zenon_H70). % 0.63/0.86 apply (zenon_L169_); trivial. % 0.63/0.86 apply (zenon_L170_); trivial. % 0.63/0.86 (* end of lemma zenon_L171_ *) % 0.63/0.86 assert (zenon_L172_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_He9 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_Ha4 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H152 zenon_H150 zenon_H23 zenon_H21 zenon_H1d4 zenon_H4a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_He6 zenon_H48 zenon_Hea zenon_H15 zenon_H79 zenon_H12a. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.86 apply (zenon_L74_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.86 apply (zenon_L87_); trivial. % 0.63/0.86 apply (zenon_L162_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.86 apply (zenon_L87_); trivial. % 0.63/0.86 apply (zenon_L171_); trivial. % 0.63/0.86 (* end of lemma zenon_L172_ *) % 0.63/0.86 assert (zenon_L173_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H7f zenon_H7e zenon_H7d zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L32_); trivial. % 0.63/0.86 apply (zenon_L35_); trivial. % 0.63/0.86 (* end of lemma zenon_L173_ *) % 0.63/0.86 assert (zenon_L174_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hb9 zenon_Ha4 zenon_Ha2 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H7d zenon_H7e zenon_H7f zenon_Ha0 zenon_H53 zenon_H79 zenon_H7b. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L31_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.63/0.86 apply (zenon_L173_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.63/0.86 exact (zenon_Ha2 zenon_Ha3). % 0.63/0.86 exact (zenon_H79 zenon_H7a). % 0.63/0.86 (* end of lemma zenon_L174_ *) % 0.63/0.86 assert (zenon_L175_ : ((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (c0_1 (a94)) -> (c1_1 (a94)) -> (c2_1 (a94)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hbf zenon_Hb6 zenon_H7d zenon_H7e zenon_H7f zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H3c zenon_H3b zenon_H3a zenon_Had zenon_Hae zenon_Haf. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.63/0.86 apply (zenon_L173_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.63/0.86 apply (zenon_L17_); trivial. % 0.63/0.86 apply (zenon_L42_); trivial. % 0.63/0.86 (* end of lemma zenon_L175_ *) % 0.63/0.86 assert (zenon_L176_ : ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> (~(hskp24)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hbb zenon_Hb6 zenon_H3c zenon_H3b zenon_H3a zenon_H7b zenon_H79 zenon_H53 zenon_Ha0 zenon_H7f zenon_H7e zenon_H7d zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.63/0.86 apply (zenon_L174_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L31_); trivial. % 0.63/0.86 apply (zenon_L175_); trivial. % 0.63/0.86 (* end of lemma zenon_L176_ *) % 0.63/0.86 assert (zenon_L177_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hb8 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_H3a zenon_H3b zenon_H3c zenon_Hb6 zenon_Hbb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.86 apply (zenon_L176_); trivial. % 0.63/0.86 apply (zenon_L27_); trivial. % 0.63/0.86 (* end of lemma zenon_L177_ *) % 0.63/0.86 assert (zenon_L178_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.86 apply (zenon_L14_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.63/0.86 apply (zenon_L28_); trivial. % 0.63/0.86 apply (zenon_L177_); trivial. % 0.63/0.86 (* end of lemma zenon_L178_ *) % 0.63/0.86 assert (zenon_L179_ : ((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hbe zenon_Hb9 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hc7 zenon_Hc8 zenon_H3b zenon_H3a zenon_H3c zenon_Ha0 zenon_Hb6 zenon_H53 zenon_H79 zenon_H7b. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L31_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.86 apply (zenon_L168_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.86 apply (zenon_L25_); trivial. % 0.63/0.86 exact (zenon_H6f zenon_H70). % 0.63/0.86 (* end of lemma zenon_L179_ *) % 0.63/0.86 assert (zenon_L180_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.86 apply (zenon_L14_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L31_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.86 apply (zenon_L166_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.86 apply (zenon_L25_); trivial. % 0.63/0.86 exact (zenon_H6f zenon_H70). % 0.63/0.86 apply (zenon_L179_); trivial. % 0.63/0.86 apply (zenon_L27_); trivial. % 0.63/0.86 (* end of lemma zenon_L180_ *) % 0.63/0.86 assert (zenon_L181_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H126 zenon_Hf3 zenon_Hea zenon_H1d4 zenon_H23 zenon_H21 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H3 zenon_H5 zenon_H7. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.86 apply (zenon_L4_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.86 apply (zenon_L178_); trivial. % 0.63/0.86 apply (zenon_L180_); trivial. % 0.63/0.86 (* end of lemma zenon_L181_ *) % 0.63/0.86 assert (zenon_L182_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp14)\/(hskp2))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H12c zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_H1d zenon_H3 zenon_H23 zenon_H21 zenon_H4a zenon_H45 zenon_H49 zenon_H48 zenon_H47 zenon_Hf4 zenon_Hf6 zenon_Hf8. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.63/0.86 apply (zenon_L65_); trivial. % 0.63/0.86 (* end of lemma zenon_L182_ *) % 0.63/0.86 assert (zenon_L183_ : ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp20)) -> (~(hskp29)) -> (~(hskp0)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H206 zenon_H1f zenon_H77 zenon_H45. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H206); [ zenon_intro zenon_H20 | zenon_intro zenon_H207 ]. % 0.63/0.86 exact (zenon_H1f zenon_H20). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H207); [ zenon_intro zenon_H78 | zenon_intro zenon_H46 ]. % 0.63/0.86 exact (zenon_H77 zenon_H78). % 0.63/0.86 exact (zenon_H45 zenon_H46). % 0.63/0.86 (* end of lemma zenon_L183_ *) % 0.63/0.86 assert (zenon_L184_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H5b zenon_H114 zenon_H115 zenon_H11f. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L68_); trivial. % 0.63/0.86 apply (zenon_L70_); trivial. % 0.63/0.86 (* end of lemma zenon_L184_ *) % 0.63/0.86 assert (zenon_L185_ : (forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H91 zenon_Ha zenon_H65 zenon_H94 zenon_H93 zenon_H92. % 0.63/0.86 generalize (zenon_H91 (a165)). zenon_intro zenon_H99. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_H9 | zenon_intro zenon_H9a ]. % 0.63/0.86 exact (zenon_H9 zenon_Ha). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.63/0.86 generalize (zenon_H65 (a165)). zenon_intro zenon_H208. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H208); [ zenon_intro zenon_H9 | zenon_intro zenon_H209 ]. % 0.63/0.86 exact (zenon_H9 zenon_Ha). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H98 | zenon_intro zenon_Hab ]. % 0.63/0.86 exact (zenon_H9c zenon_H98). % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hab); [ zenon_intro zenon_H9f | zenon_intro zenon_H9d ]. % 0.63/0.86 exact (zenon_H9f zenon_H94). % 0.63/0.86 exact (zenon_H9d zenon_H93). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_H9e | zenon_intro zenon_H9d ]. % 0.63/0.86 exact (zenon_H9e zenon_H92). % 0.63/0.86 exact (zenon_H9d zenon_H93). % 0.63/0.86 (* end of lemma zenon_L185_ *) % 0.63/0.86 assert (zenon_L186_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_He zenon_Hc zenon_H2f zenon_Ha zenon_H65 zenon_H94 zenon_H93 zenon_H92. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L16_); trivial. % 0.63/0.86 apply (zenon_L185_); trivial. % 0.63/0.86 (* end of lemma zenon_L186_ *) % 0.63/0.86 assert (zenon_L187_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1d4 zenon_H92 zenon_H93 zenon_H94 zenon_H65 zenon_Hc zenon_He zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H114 zenon_H115 zenon_H11f. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.86 apply (zenon_L186_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_L69_); trivial. % 0.63/0.86 (* end of lemma zenon_L187_ *) % 0.63/0.86 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hbf zenon_H72 zenon_H11f zenon_H115 zenon_H114 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_He zenon_Hc zenon_H1d4 zenon_H6f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.63/0.86 apply (zenon_L184_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.63/0.86 apply (zenon_L187_); trivial. % 0.63/0.86 exact (zenon_H6f zenon_H70). % 0.63/0.86 (* end of lemma zenon_L188_ *) % 0.63/0.86 assert (zenon_L189_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp20)) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hb9 zenon_H72 zenon_H6f zenon_He zenon_Hc zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H114 zenon_H115 zenon_H11f zenon_Ha0 zenon_H1f zenon_H45 zenon_H206. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.63/0.86 apply (zenon_L183_); trivial. % 0.63/0.86 apply (zenon_L188_); trivial. % 0.63/0.86 (* end of lemma zenon_L189_ *) % 0.63/0.86 assert (zenon_L190_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H4e zenon_H1d4 zenon_Hc zenon_He zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_H115 zenon_H11f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.63/0.86 apply (zenon_L142_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_L69_); trivial. % 0.63/0.86 (* end of lemma zenon_L190_ *) % 0.63/0.86 assert (zenon_L191_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_He8 zenon_H48 zenon_H206 zenon_H45 zenon_Ha0 zenon_H11f zenon_H115 zenon_H114 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9. % 0.63/0.86 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.63/0.86 apply (zenon_L189_); trivial. % 0.63/0.86 apply (zenon_L190_); trivial. % 0.63/0.86 (* end of lemma zenon_L191_ *) % 0.63/0.86 assert (zenon_L192_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp14)\/(hskp2))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H175 zenon_Hf3 zenon_H48 zenon_H206 zenon_H45 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9 zenon_Hf4 zenon_Hf6 zenon_Hf8. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.86 apply (zenon_L58_); trivial. % 0.63/0.86 apply (zenon_L191_); trivial. % 0.63/0.86 (* end of lemma zenon_L192_ *) % 0.63/0.86 assert (zenon_L193_ : ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> (ndr1_0) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> (~(hskp28)) -> (~(hskp18)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1b8 zenon_H134 zenon_H135 zenon_H132 zenon_Ha zenon_H160 zenon_H161 zenon_H169 zenon_H1e8 zenon_H1e4 zenon_H1ea. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.63/0.86 apply (zenon_L148_); trivial. % 0.63/0.86 apply (zenon_L116_); trivial. % 0.63/0.86 (* end of lemma zenon_L193_ *) % 0.63/0.86 assert (zenon_L194_ : ((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H1f5 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H7f zenon_H7e zenon_H7d. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L32_); trivial. % 0.63/0.86 apply (zenon_L150_); trivial. % 0.63/0.86 (* end of lemma zenon_L194_ *) % 0.63/0.86 assert (zenon_L195_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> (c2_1 (a127)) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> (~(c1_1 (a105))) -> (c0_1 (a105)) -> (c2_1 (a105)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hb8 zenon_H1f8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1ea zenon_H1e4 zenon_H169 zenon_H161 zenon_H160 zenon_H132 zenon_H135 zenon_H134 zenon_H1b8. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.63/0.86 apply (zenon_L193_); trivial. % 0.63/0.86 apply (zenon_L194_); trivial. % 0.63/0.86 (* end of lemma zenon_L195_ *) % 0.63/0.86 assert (zenon_L196_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> (~(c1_1 (a105))) -> (c0_1 (a105)) -> (c2_1 (a105)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(hskp12)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(hskp13)) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.63/0.86 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_Hea zenon_Hb9 zenon_He6 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H1d zenon_H176 zenon_Hc5 zenon_H132 zenon_H135 zenon_H134 zenon_H1b8 zenon_H57 zenon_H144 zenon_H15 zenon_H1ea zenon_H6f zenon_H72 zenon_H1f8 zenon_H76 zenon_H141 zenon_H1e6 zenon_H1cf zenon_H45 zenon_H49 zenon_H205 zenon_H47 zenon_H23 zenon_H21 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1d4 zenon_H48 zenon_H3 zenon_H5 zenon_H7. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.86 apply (zenon_L4_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.63/0.86 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.63/0.86 apply (zenon_L144_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.63/0.86 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.63/0.86 apply (zenon_L11_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.63/0.86 apply (zenon_L146_); trivial. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.63/0.86 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.63/0.86 apply (zenon_L154_); trivial. % 0.63/0.86 apply (zenon_L195_); trivial. % 0.63/0.86 apply (zenon_L158_); trivial. % 0.63/0.86 apply (zenon_L171_); trivial. % 0.63/0.86 (* end of lemma zenon_L196_ *) % 0.63/0.86 assert (zenon_L197_ : ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp11)) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H129 zenon_Ha6 zenon_H12a zenon_H79 zenon_Hb9 zenon_H72 zenon_H6f zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H114 zenon_H115 zenon_H11f zenon_Ha0 zenon_H45 zenon_H206 zenon_H48 zenon_Hf3. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.63/0.86 apply (zenon_L74_); trivial. % 0.63/0.86 apply (zenon_L191_); trivial. % 0.63/0.86 apply (zenon_L72_); trivial. % 0.63/0.86 (* end of lemma zenon_L197_ *) % 0.63/0.86 assert (zenon_L198_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c2_1 (a118))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hc8 zenon_Hd3 zenon_Hd2 zenon_Hc7 zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L51_); trivial. % 0.63/0.86 apply (zenon_L35_); trivial. % 0.63/0.86 (* end of lemma zenon_L198_ *) % 0.63/0.86 assert (zenon_L199_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.86 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_Ha zenon_H10e zenon_H115 zenon_H11f. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.63/0.86 apply (zenon_L140_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.63/0.86 apply (zenon_L78_); trivial. % 0.63/0.86 apply (zenon_L79_); trivial. % 0.63/0.86 (* end of lemma zenon_L199_ *) % 0.63/0.86 assert (zenon_L200_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> False). % 0.63/0.86 do 0 intro. intros zenon_H20a zenon_Ha zenon_H20b zenon_H1d6 zenon_H1d7. % 0.63/0.86 generalize (zenon_H20a (a101)). zenon_intro zenon_H20c. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H20c); [ zenon_intro zenon_H9 | zenon_intro zenon_H20d ]. % 0.63/0.86 exact (zenon_H9 zenon_Ha). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H20d); [ zenon_intro zenon_H20f | zenon_intro zenon_H20e ]. % 0.63/0.86 exact (zenon_H20b zenon_H20f). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H1dc | zenon_intro zenon_H1de ]. % 0.63/0.86 exact (zenon_H1d6 zenon_H1dc). % 0.63/0.86 exact (zenon_H1d7 zenon_H1de). % 0.63/0.86 (* end of lemma zenon_L200_ *) % 0.63/0.86 assert (zenon_L201_ : (forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17)))))) -> (ndr1_0) -> (~(c2_1 (a101))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a101))) -> (c3_1 (a101)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H39 zenon_Ha zenon_H1d7 zenon_H20a zenon_H1d6 zenon_H1d8. % 0.63/0.86 generalize (zenon_H39 (a101)). zenon_intro zenon_H210. % 0.63/0.86 apply (zenon_imply_s _ _ zenon_H210); [ zenon_intro zenon_H9 | zenon_intro zenon_H211 ]. % 0.63/0.86 exact (zenon_H9 zenon_Ha). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H1de | zenon_intro zenon_H212 ]. % 0.63/0.86 exact (zenon_H1d7 zenon_H1de). % 0.63/0.86 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H20b | zenon_intro zenon_H1dd ]. % 0.63/0.86 apply (zenon_L200_); trivial. % 0.63/0.86 exact (zenon_H1dd zenon_H1d8). % 0.63/0.86 (* end of lemma zenon_L201_ *) % 0.63/0.86 assert (zenon_L202_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))) -> (~(c0_1 (a109))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.63/0.86 do 0 intro. intros zenon_H111 zenon_Hfd zenon_Hfc zenon_H104 zenon_Hfb zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_Ha zenon_H115 zenon_H11f. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.63/0.86 apply (zenon_L59_); trivial. % 0.63/0.86 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.63/0.86 apply (zenon_L60_); trivial. % 0.63/0.86 apply (zenon_L199_); trivial. % 0.63/0.86 (* end of lemma zenon_L202_ *) % 0.63/0.86 assert (zenon_L203_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a118)) -> (~(c3_1 (a118))) -> (~(c2_1 (a118))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H4e zenon_He6 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Hc8 zenon_Hd3 zenon_Hc7 zenon_H1d4 zenon_H114 zenon_H115 zenon_H11f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.70/0.87 apply (zenon_L160_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.70/0.87 apply (zenon_L140_); trivial. % 0.70/0.87 apply (zenon_L69_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.70/0.87 apply (zenon_L17_); trivial. % 0.70/0.87 apply (zenon_L69_); trivial. % 0.70/0.87 (* end of lemma zenon_L203_ *) % 0.70/0.87 assert (zenon_L204_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H1d4 zenon_H206 zenon_H45 zenon_He6 zenon_Hfb zenon_Hfc zenon_Hfd zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H11f zenon_H115 zenon_H114 zenon_H111 zenon_H213 zenon_Hb9. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.70/0.87 apply (zenon_L183_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H20a | zenon_intro zenon_H214 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.70/0.87 apply (zenon_L59_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.70/0.87 apply (zenon_L198_); trivial. % 0.70/0.87 apply (zenon_L199_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.70/0.87 apply (zenon_L201_); trivial. % 0.70/0.87 apply (zenon_L69_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H10e | zenon_intro zenon_H104 ]. % 0.70/0.87 apply (zenon_L199_); trivial. % 0.70/0.87 apply (zenon_L202_); trivial. % 0.70/0.87 apply (zenon_L203_); trivial. % 0.70/0.87 (* end of lemma zenon_L204_ *) % 0.70/0.87 assert (zenon_L205_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H17a zenon_Hea zenon_H48 zenon_H1d4 zenon_H206 zenon_H45 zenon_He6 zenon_Hfb zenon_Hfc zenon_Hfd zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H11f zenon_H115 zenon_H114 zenon_H111 zenon_H213 zenon_Hb9 zenon_H150 zenon_H152. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_L87_); trivial. % 0.70/0.87 apply (zenon_L204_); trivial. % 0.70/0.87 (* end of lemma zenon_L205_ *) % 0.70/0.87 assert (zenon_L206_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp7)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H126 zenon_H72 zenon_H11f zenon_H115 zenon_H114 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H6f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.70/0.87 apply (zenon_L184_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.70/0.87 apply (zenon_L25_); trivial. % 0.70/0.87 exact (zenon_H6f zenon_H70). % 0.70/0.87 (* end of lemma zenon_L206_ *) % 0.70/0.87 assert (zenon_L207_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(c1_1 (a105))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp8)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H175 zenon_H1c6 zenon_H144 zenon_H132 zenon_H134 zenon_H135 zenon_H143 zenon_H152 zenon_H150 zenon_H213 zenon_H111 zenon_He6 zenon_Hea zenon_H177 zenon_Hf3 zenon_H48 zenon_H206 zenon_H45 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9 zenon_H12a zenon_Ha6 zenon_H129. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.70/0.87 apply (zenon_L197_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.70/0.87 apply (zenon_L84_); trivial. % 0.70/0.87 apply (zenon_L205_); trivial. % 0.70/0.87 apply (zenon_L206_); trivial. % 0.70/0.87 (* end of lemma zenon_L207_ *) % 0.70/0.87 assert (zenon_L208_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hea zenon_H48 zenon_He6 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H43 zenon_H1d4 zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_H5 zenon_H1bb zenon_Hc5. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_L121_); trivial. % 0.70/0.87 apply (zenon_L162_); trivial. % 0.70/0.87 (* end of lemma zenon_L208_ *) % 0.70/0.87 assert (zenon_L209_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_He8 zenon_He9 zenon_Hb9 zenon_H72 zenon_H6f zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc5 zenon_H1bb zenon_H5 zenon_H57 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_H21 zenon_H1d4 zenon_H4a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_He6 zenon_H48 zenon_Hea. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.70/0.87 apply (zenon_L208_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_L121_); trivial. % 0.70/0.87 apply (zenon_L171_); trivial. % 0.70/0.87 (* end of lemma zenon_L209_ *) % 0.70/0.87 assert (zenon_L210_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_Hb9 zenon_H72 zenon_H6f zenon_Ha4 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc5 zenon_H1bb zenon_H5 zenon_H57 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_H21 zenon_H1d4 zenon_H4a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_He6 zenon_H48 zenon_Hea zenon_H15 zenon_H79 zenon_H12a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L74_); trivial. % 0.70/0.87 apply (zenon_L209_); trivial. % 0.70/0.87 (* end of lemma zenon_L210_ *) % 0.70/0.87 assert (zenon_L211_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H12c zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_H23 zenon_H21 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1d4 zenon_H48 zenon_H3 zenon_H5 zenon_H7. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L4_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.70/0.87 apply (zenon_L144_); trivial. % 0.70/0.87 apply (zenon_L63_); trivial. % 0.70/0.87 (* end of lemma zenon_L211_ *) % 0.70/0.87 assert (zenon_L212_ : ((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> (~(hskp12)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hed zenon_H144 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H15. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.70/0.87 apply (zenon_L62_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.70/0.87 apply (zenon_L114_); trivial. % 0.70/0.87 exact (zenon_H15 zenon_H16). % 0.70/0.87 (* end of lemma zenon_L212_ *) % 0.70/0.87 assert (zenon_L213_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(hskp12)) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_H144 zenon_H15 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H23 zenon_H21 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1d4 zenon_H48 zenon_H3 zenon_H5 zenon_H7. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L4_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.70/0.87 apply (zenon_L144_); trivial. % 0.70/0.87 apply (zenon_L212_); trivial. % 0.70/0.87 (* end of lemma zenon_L213_ *) % 0.70/0.87 assert (zenon_L214_ : ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> (~(hskp28)) -> (~(hskp18)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> (ndr1_0) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1b8 zenon_H160 zenon_H161 zenon_H169 zenon_H1e8 zenon_H1e4 zenon_H1ea zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.70/0.87 apply (zenon_L114_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H168 | zenon_intro zenon_H1eb ]. % 0.70/0.87 generalize (zenon_H168 (a127)). zenon_intro zenon_H16a. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H16a); [ zenon_intro zenon_H9 | zenon_intro zenon_H16b ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H16b); [ zenon_intro zenon_H167 | zenon_intro zenon_H16c ]. % 0.70/0.87 exact (zenon_H160 zenon_H167). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 0.70/0.87 generalize (zenon_H1b3 (a127)). zenon_intro zenon_H215. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H9 | zenon_intro zenon_H216 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H165 | zenon_intro zenon_H217 ]. % 0.70/0.87 exact (zenon_H15f zenon_H165). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H166 | zenon_intro zenon_H16d ]. % 0.70/0.87 exact (zenon_H166 zenon_H161). % 0.70/0.87 exact (zenon_H16d zenon_H169). % 0.70/0.87 exact (zenon_H16d zenon_H169). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e5 ]. % 0.70/0.87 exact (zenon_H1e8 zenon_H1e9). % 0.70/0.87 exact (zenon_H1e4 zenon_H1e5). % 0.70/0.87 (* end of lemma zenon_L214_ *) % 0.70/0.87 assert (zenon_L215_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c0_1 (a149)))/\(~(c1_1 (a149)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(c3_1 (a124))) -> (~(c1_1 (a124))) -> (~(c0_1 (a124))) -> (~(hskp16)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp13)) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp0)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H218 zenon_H49 zenon_H28 zenon_H27 zenon_H26 zenon_H55 zenon_H1f9 zenon_H1fa zenon_H1fb zenon_H3a zenon_H3c zenon_H3b zenon_H1cf zenon_H143 zenon_H141 zenon_Hc zenon_He zenon_H1d4 zenon_H45. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H197. zenon_intro zenon_H21a. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21b. zenon_intro zenon_H196. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.70/0.87 apply (zenon_L15_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.70/0.87 apply (zenon_L16_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.70/0.87 apply (zenon_L107_); trivial. % 0.70/0.87 apply (zenon_L157_); trivial. % 0.70/0.87 exact (zenon_H45 zenon_H46). % 0.70/0.87 (* end of lemma zenon_L215_ *) % 0.70/0.87 assert (zenon_L216_ : ((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a149))/\((~(c0_1 (a149)))/\(~(c1_1 (a149))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c3_1 (a124))) -> (~(c1_1 (a124))) -> (~(c0_1 (a124))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c1_1 X76))\/((~(c2_1 X76))\/(~(c3_1 X76))))))\/((hskp9)\/(hskp22))) -> (~(hskp9)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(hskp13)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H202 zenon_H48 zenon_H21c zenon_H49 zenon_H45 zenon_H1cf zenon_H55 zenon_H1d4 zenon_H28 zenon_H27 zenon_H26 zenon_H18c zenon_Hf4 zenon_H68 zenon_H67 zenon_H141 zenon_H143 zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Ha. zenon_intro zenon_H203. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1fa. zenon_intro zenon_H204. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.70/0.87 apply (zenon_L14_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18b | zenon_intro zenon_H218 ]. % 0.70/0.87 apply (zenon_L105_); trivial. % 0.70/0.87 apply (zenon_L215_); trivial. % 0.70/0.87 (* end of lemma zenon_L216_ *) % 0.70/0.87 assert (zenon_L217_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hb8 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_H3a zenon_H3b zenon_H3c zenon_Hb6 zenon_Hbb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.70/0.87 apply (zenon_L176_); trivial. % 0.70/0.87 apply (zenon_L118_); trivial. % 0.70/0.87 (* end of lemma zenon_L217_ *) % 0.70/0.87 assert (zenon_L218_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H4e zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.70/0.87 apply (zenon_L119_); trivial. % 0.70/0.87 apply (zenon_L217_); trivial. % 0.70/0.87 (* end of lemma zenon_L218_ *) % 0.70/0.87 assert (zenon_L219_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.70/0.87 apply (zenon_L14_); trivial. % 0.70/0.87 apply (zenon_L218_); trivial. % 0.70/0.87 (* end of lemma zenon_L219_ *) % 0.70/0.87 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_He8 zenon_Hea zenon_H47 zenon_H49 zenon_H45 zenon_Hf4 zenon_H1a4 zenon_H3 zenon_H1d zenon_H23 zenon_H21 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_L219_); trivial. % 0.70/0.87 apply (zenon_L110_); trivial. % 0.70/0.87 (* end of lemma zenon_L220_ *) % 0.70/0.87 assert (zenon_L221_ : ((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp14)\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H21d zenon_H21e zenon_H1b8 zenon_H1c6 zenon_He9 zenon_H111 zenon_H10c zenon_H4a zenon_H1d4 zenon_H7 zenon_H5 zenon_H3 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_H1d zenon_H1a4 zenon_H45 zenon_H49 zenon_H47 zenon_Hea zenon_Hf3 zenon_H144 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha6 zenon_H1b1 zenon_H129 zenon_H21f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L4_); trivial. % 0.70/0.87 apply (zenon_L220_); trivial. % 0.70/0.87 apply (zenon_L211_); trivial. % 0.70/0.87 apply (zenon_L115_); trivial. % 0.70/0.87 apply (zenon_L117_); trivial. % 0.70/0.87 (* end of lemma zenon_L221_ *) % 0.70/0.87 assert (zenon_L222_ : ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1d4 zenon_Hc zenon_He zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1cf zenon_H3b zenon_H3c zenon_H3a zenon_H1bf zenon_H1be zenon_H90 zenon_H1bd zenon_Ha zenon_H55. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.70/0.87 apply (zenon_L142_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.70/0.87 apply (zenon_L140_); trivial. % 0.70/0.87 apply (zenon_L134_); trivial. % 0.70/0.87 (* end of lemma zenon_L222_ *) % 0.70/0.87 assert (zenon_L223_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c0_1 (a149)))/\(~(c1_1 (a149)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(c3_1 (a124))) -> (~(c1_1 (a124))) -> (~(c0_1 (a124))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> (~(c0_1 (a116))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c2_1 (a133))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (~(hskp16)) -> (~(hskp13)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(hskp0)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H218 zenon_H49 zenon_H28 zenon_H27 zenon_H26 zenon_Hd9 zenon_Hda zenon_Hd8 zenon_H1d4 zenon_Hc zenon_He zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1cf zenon_H3b zenon_H3c zenon_H3a zenon_H1bf zenon_H1be zenon_H1bd zenon_H55 zenon_H141 zenon_H143 zenon_H111 zenon_H45. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H197. zenon_intro zenon_H21a. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21b. zenon_intro zenon_H196. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.70/0.87 apply (zenon_L15_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.70/0.87 apply (zenon_L133_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.70/0.87 apply (zenon_L222_); trivial. % 0.70/0.87 apply (zenon_L62_); trivial. % 0.70/0.87 exact (zenon_H45 zenon_H46). % 0.70/0.87 (* end of lemma zenon_L223_ *) % 0.70/0.87 assert (zenon_L224_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((hskp9)\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp9)) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp17))\/((ndr1_0)/\((~(c0_1 (a124)))/\((~(c1_1 (a124)))/\(~(c3_1 (a124))))))) -> ((~(hskp22))\/((ndr1_0)/\((c3_1 (a149))/\((~(c0_1 (a149)))/\(~(c1_1 (a149))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c1_1 Y)\/(c3_1 Y)))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(hskp0))) -> (~(hskp0)) -> (~(c3_1 (a102))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X76 : zenon_U, ((ndr1_0)->((~(c1_1 X76))\/((~(c2_1 X76))\/(~(c3_1 X76))))))\/((hskp9)\/(hskp22))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp1)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp1)\/(hskp17))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H126 zenon_H177 zenon_Ha4 zenon_H79 zenon_Hb6 zenon_Hbb zenon_H1a6 zenon_Hf8 zenon_Hf6 zenon_Hf4 zenon_H48 zenon_H1d4 zenon_H4a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H21 zenon_H23 zenon_H47 zenon_H21c zenon_H49 zenon_H45 zenon_H1bd zenon_H1bf zenon_H1be zenon_H1cf zenon_H111 zenon_H18c zenon_H143 zenon_H3 zenon_H1d zenon_H1a4 zenon_Hea zenon_He9 zenon_Hf3. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L58_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.70/0.87 apply (zenon_L144_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.70/0.87 apply (zenon_L11_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.70/0.87 apply (zenon_L14_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18b | zenon_intro zenon_H218 ]. % 0.70/0.87 apply (zenon_L105_); trivial. % 0.70/0.87 apply (zenon_L223_); trivial. % 0.70/0.87 apply (zenon_L110_); trivial. % 0.70/0.87 apply (zenon_L139_); trivial. % 0.70/0.87 (* end of lemma zenon_L224_ *) % 0.70/0.87 assert (zenon_L225_ : ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp18)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1ea zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha zenon_H1e8 zenon_H1e4. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H168 | zenon_intro zenon_H1eb ]. % 0.70/0.87 apply (zenon_L123_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1eb); [ zenon_intro zenon_H1e9 | zenon_intro zenon_H1e5 ]. % 0.70/0.87 exact (zenon_H1e8 zenon_H1e9). % 0.70/0.87 exact (zenon_H1e4 zenon_H1e5). % 0.70/0.87 (* end of lemma zenon_L225_ *) % 0.70/0.87 assert (zenon_L226_ : ((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (~(hskp15)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1f5 zenon_H4a zenon_Hc zenon_He zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H3c zenon_H3b zenon_H3a zenon_H43. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H4a); [ zenon_intro zenon_H2f | zenon_intro zenon_H52 ]. % 0.70/0.87 apply (zenon_L151_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H52); [ zenon_intro zenon_H39 | zenon_intro zenon_H44 ]. % 0.70/0.87 apply (zenon_L17_); trivial. % 0.70/0.87 exact (zenon_H43 zenon_H44). % 0.70/0.87 (* end of lemma zenon_L226_ *) % 0.70/0.87 assert (zenon_L227_ : ((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125)))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (~(hskp16)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H202 zenon_H1cf zenon_H149 zenon_H148 zenon_H147 zenon_H55. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Ha. zenon_intro zenon_H203. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1fa. zenon_intro zenon_H204. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.70/0.87 apply (zenon_L85_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.70/0.87 apply (zenon_L156_); trivial. % 0.70/0.87 exact (zenon_H55 zenon_H56). % 0.70/0.87 (* end of lemma zenon_L227_ *) % 0.70/0.87 assert (zenon_L228_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp15)) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hea zenon_He6 zenon_H1d4 zenon_H48 zenon_H1f8 zenon_H4a zenon_H43 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1ea zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23 zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_H205. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.70/0.87 apply (zenon_L14_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.70/0.87 apply (zenon_L225_); trivial. % 0.70/0.87 apply (zenon_L226_); trivial. % 0.70/0.87 apply (zenon_L227_); trivial. % 0.70/0.87 apply (zenon_L162_); trivial. % 0.70/0.87 (* end of lemma zenon_L228_ *) % 0.70/0.87 assert (zenon_L229_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_He9 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H7b zenon_Ha4 zenon_H79 zenon_Hb6 zenon_Hbb zenon_H205 zenon_H1cf zenon_H23 zenon_H1ea zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1f8 zenon_H48 zenon_H1d4 zenon_He6 zenon_Hea zenon_H21 zenon_H1a6. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L111_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.70/0.87 apply (zenon_L228_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_L138_); trivial. % 0.70/0.87 apply (zenon_L171_); trivial. % 0.70/0.87 (* end of lemma zenon_L229_ *) % 0.70/0.87 assert (zenon_L230_ : (forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53)))))) -> (ndr1_0) -> (~(c1_1 (a101))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H146 zenon_Ha zenon_H1d6 zenon_H20a zenon_H1d7 zenon_H1d8. % 0.70/0.87 generalize (zenon_H146 (a101)). zenon_intro zenon_H222. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H222); [ zenon_intro zenon_H9 | zenon_intro zenon_H223 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H223); [ zenon_intro zenon_H1dc | zenon_intro zenon_H212 ]. % 0.70/0.87 exact (zenon_H1d6 zenon_H1dc). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H212); [ zenon_intro zenon_H20b | zenon_intro zenon_H1dd ]. % 0.70/0.87 apply (zenon_L200_); trivial. % 0.70/0.87 exact (zenon_H1dd zenon_H1d8). % 0.70/0.87 (* end of lemma zenon_L230_ *) % 0.70/0.87 assert (zenon_L231_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a101))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1cf zenon_H1d8 zenon_H1d7 zenon_H20a zenon_H1d6 zenon_H1bf zenon_H1be zenon_H90 zenon_H1bd zenon_Ha zenon_H55. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.70/0.87 apply (zenon_L230_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.70/0.87 apply (zenon_L128_); trivial. % 0.70/0.87 exact (zenon_H55 zenon_H56). % 0.70/0.87 (* end of lemma zenon_L231_ *) % 0.70/0.87 assert (zenon_L232_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(hskp16)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H111 zenon_Hfd zenon_Hfc zenon_Hfb zenon_H55 zenon_H1bd zenon_H1be zenon_H1bf zenon_H20a zenon_H1cf zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_Ha zenon_H115 zenon_H11f. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.70/0.87 apply (zenon_L59_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.70/0.87 apply (zenon_L231_); trivial. % 0.70/0.87 apply (zenon_L199_); trivial. % 0.70/0.87 (* end of lemma zenon_L232_ *) % 0.70/0.87 assert (zenon_L233_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(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)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H175 zenon_H1c6 zenon_Hea zenon_He6 zenon_H111 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1cf zenon_H213 zenon_Hf3 zenon_H48 zenon_H206 zenon_H45 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9 zenon_H12a zenon_Ha6 zenon_H129. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.70/0.87 apply (zenon_L197_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H20a | zenon_intro zenon_H214 ]. % 0.70/0.87 apply (zenon_L232_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H10e | zenon_intro zenon_H104 ]. % 0.70/0.87 apply (zenon_L80_); trivial. % 0.70/0.87 apply (zenon_L202_); trivial. % 0.70/0.87 apply (zenon_L204_); trivial. % 0.70/0.87 (* end of lemma zenon_L233_ *) % 0.70/0.87 assert (zenon_L234_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H104 zenon_Ha zenon_H224 zenon_H225 zenon_H226. % 0.70/0.87 generalize (zenon_H104 (a99)). zenon_intro zenon_H227. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H227); [ zenon_intro zenon_H9 | zenon_intro zenon_H228 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_H22a | zenon_intro zenon_H229 ]. % 0.70/0.87 exact (zenon_H224 zenon_H22a). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ]. % 0.70/0.87 exact (zenon_H225 zenon_H22c). % 0.70/0.87 exact (zenon_H22b zenon_H226). % 0.70/0.87 (* end of lemma zenon_L234_ *) % 0.70/0.87 assert (zenon_L235_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (c1_1 (a118)) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c3_1 (a118))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_Hc8 zenon_Hc7 zenon_H5b zenon_Hd3 zenon_Ha zenon_H21. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22e ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H22 ]. % 0.70/0.87 generalize (zenon_H1c7 (a118)). zenon_intro zenon_H22f. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H9 | zenon_intro zenon_H230 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd1 ]. % 0.70/0.87 exact (zenon_Hd3 zenon_Hd7). % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcd ]. % 0.70/0.87 apply (zenon_L48_); trivial. % 0.70/0.87 exact (zenon_Hcd zenon_Hc8). % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 (* end of lemma zenon_L235_ *) % 0.70/0.87 assert (zenon_L236_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp10)) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> (~(hskp7)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H21 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H68 zenon_H67 zenon_H66 zenon_H6f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.70/0.87 apply (zenon_L235_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.70/0.87 apply (zenon_L25_); trivial. % 0.70/0.87 exact (zenon_H6f zenon_H70). % 0.70/0.87 (* end of lemma zenon_L236_ *) % 0.70/0.87 assert (zenon_L237_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_He8 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H21 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_H3 zenon_Hba zenon_Hb9 zenon_Hc5 zenon_H48. % 0.70/0.87 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_L47_); trivial. % 0.70/0.87 apply (zenon_L236_); trivial. % 0.70/0.87 (* end of lemma zenon_L237_ *) % 0.70/0.87 assert (zenon_L238_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (~(hskp10)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H12c zenon_H10c zenon_H226 zenon_H225 zenon_H224 zenon_H21. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10d ]. % 0.70/0.87 apply (zenon_L59_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22 ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 (* end of lemma zenon_L238_ *) % 0.70/0.87 assert (zenon_L239_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp9)) -> (~(hskp2)) -> ((hskp9)\/((hskp14)\/(hskp2))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H21f zenon_H129 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_H3 zenon_Hba zenon_Hb9 zenon_Hc5 zenon_H48 zenon_Hf4 zenon_Hf6 zenon_Hf8 zenon_H12a zenon_H17 zenon_H19 zenon_Hf3 zenon_H10c zenon_H1c6. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.70/0.87 apply (zenon_L75_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L58_); trivial. % 0.70/0.87 apply (zenon_L237_); trivial. % 0.70/0.87 apply (zenon_L238_); trivial. % 0.70/0.87 apply (zenon_L126_); trivial. % 0.70/0.87 (* end of lemma zenon_L239_ *) % 0.70/0.87 assert (zenon_L240_ : (~(hskp21)) -> (hskp21) -> False). % 0.70/0.87 do 0 intro. intros zenon_H231 zenon_H232. % 0.70/0.87 exact (zenon_H231 zenon_H232). % 0.70/0.87 (* end of lemma zenon_L240_ *) % 0.70/0.87 assert (zenon_L241_ : ((hskp14)\/((hskp16)\/(hskp21))) -> (~(hskp14)) -> (~(hskp16)) -> (~(hskp21)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H233 zenon_H1 zenon_H55 zenon_H231. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H233); [ zenon_intro zenon_H2 | zenon_intro zenon_H234 ]. % 0.70/0.87 exact (zenon_H1 zenon_H2). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H234); [ zenon_intro zenon_H56 | zenon_intro zenon_H232 ]. % 0.70/0.87 exact (zenon_H55 zenon_H56). % 0.70/0.87 exact (zenon_H231 zenon_H232). % 0.70/0.87 (* end of lemma zenon_L241_ *) % 0.70/0.87 assert (zenon_L242_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a99))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1b3 zenon_Ha zenon_H224 zenon_Hfa zenon_H225 zenon_H226. % 0.70/0.87 generalize (zenon_H1b3 (a99)). zenon_intro zenon_H235. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H235); [ zenon_intro zenon_H9 | zenon_intro zenon_H236 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H22a | zenon_intro zenon_H237 ]. % 0.70/0.87 exact (zenon_H224 zenon_H22a). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H237); [ zenon_intro zenon_H238 | zenon_intro zenon_H22b ]. % 0.70/0.87 generalize (zenon_Hfa (a99)). zenon_intro zenon_H239. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H239); [ zenon_intro zenon_H9 | zenon_intro zenon_H23a ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_H23b | zenon_intro zenon_H229 ]. % 0.70/0.87 exact (zenon_H238 zenon_H23b). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H22c | zenon_intro zenon_H22b ]. % 0.70/0.87 exact (zenon_H225 zenon_H22c). % 0.70/0.87 exact (zenon_H22b zenon_H226). % 0.70/0.87 exact (zenon_H22b zenon_H226). % 0.70/0.87 (* end of lemma zenon_L242_ *) % 0.70/0.87 assert (zenon_L243_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> (~(hskp28)) -> (c2_1 (a127)) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H10c zenon_H1ea zenon_H1e4 zenon_H1e8 zenon_H169 zenon_H161 zenon_H160 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H21. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10d ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.70/0.87 apply (zenon_L148_); trivial. % 0.70/0.87 apply (zenon_L242_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22 ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 (* end of lemma zenon_L243_ *) % 0.70/0.87 assert (zenon_L244_ : (forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40)))))) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (~(c2_1 (a145))) -> (c3_1 (a145)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H8c zenon_Ha zenon_H86 zenon_H23c zenon_H23d. % 0.70/0.87 generalize (zenon_H8c (a145)). zenon_intro zenon_H23e. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H23e); [ zenon_intro zenon_H9 | zenon_intro zenon_H23f ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H241 | zenon_intro zenon_H240 ]. % 0.70/0.87 generalize (zenon_H86 (a145)). zenon_intro zenon_H242. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H242); [ zenon_intro zenon_H9 | zenon_intro zenon_H243 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H243); [ zenon_intro zenon_H245 | zenon_intro zenon_H244 ]. % 0.70/0.87 exact (zenon_H23c zenon_H245). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H247 | zenon_intro zenon_H246 ]. % 0.70/0.87 exact (zenon_H247 zenon_H241). % 0.70/0.87 exact (zenon_H246 zenon_H23d). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H245 | zenon_intro zenon_H246 ]. % 0.70/0.87 exact (zenon_H23c zenon_H245). % 0.70/0.87 exact (zenon_H246 zenon_H23d). % 0.70/0.87 (* end of lemma zenon_L244_ *) % 0.70/0.87 assert (zenon_L245_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a145)) -> (~(c2_1 (a145))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Ha0 zenon_H23d zenon_H23c zenon_H86 zenon_H7f zenon_H7e zenon_H7d zenon_H90 zenon_Ha zenon_H92 zenon_H93 zenon_H94. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.70/0.87 apply (zenon_L244_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.70/0.87 apply (zenon_L32_); trivial. % 0.70/0.87 apply (zenon_L35_); trivial. % 0.70/0.87 (* end of lemma zenon_L245_ *) % 0.70/0.87 assert (zenon_L246_ : (forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (c0_1 (a142)) -> (c3_1 (a142)) -> (c1_1 (a142)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H30 zenon_Ha zenon_Ha8 zenon_H1ec zenon_H1ee zenon_H1ed. % 0.70/0.87 generalize (zenon_H30 (a142)). zenon_intro zenon_H248. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H248); [ zenon_intro zenon_H9 | zenon_intro zenon_H249 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H249); [ zenon_intro zenon_H24b | zenon_intro zenon_H24a ]. % 0.70/0.87 generalize (zenon_Ha8 (a142)). zenon_intro zenon_H24c. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H24c); [ zenon_intro zenon_H9 | zenon_intro zenon_H24d ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H24d); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H24e ]. % 0.70/0.87 exact (zenon_H1f2 zenon_H1ec). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H24e); [ zenon_intro zenon_H24f | zenon_intro zenon_H1f3 ]. % 0.70/0.87 exact (zenon_H24f zenon_H24b). % 0.70/0.87 exact (zenon_H1f3 zenon_H1ee). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H1f2 | zenon_intro zenon_H1f4 ]. % 0.70/0.87 exact (zenon_H1f2 zenon_H1ec). % 0.70/0.87 exact (zenon_H1f4 zenon_H1ed). % 0.70/0.87 (* end of lemma zenon_L246_ *) % 0.70/0.87 assert (zenon_L247_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a145)) -> (~(c2_1 (a145))) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (c0_1 (a142)) -> (c1_1 (a142)) -> (c3_1 (a142)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Ha0 zenon_H23d zenon_H23c zenon_H86 zenon_Ha8 zenon_Ha zenon_H1ec zenon_H1ed zenon_H1ee. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.70/0.87 apply (zenon_L244_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.70/0.87 apply (zenon_L246_); trivial. % 0.70/0.87 apply (zenon_L150_); trivial. % 0.70/0.87 (* end of lemma zenon_L247_ *) % 0.70/0.87 assert (zenon_L248_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> (c3_1 (a142)) -> (c1_1 (a142)) -> (c0_1 (a142)) -> (ndr1_0) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (~(c2_1 (a145))) -> (c3_1 (a145)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp1)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hba zenon_H94 zenon_H93 zenon_H92 zenon_H7d zenon_H7e zenon_H7f zenon_H1ee zenon_H1ed zenon_H1ec zenon_Ha zenon_H86 zenon_H23c zenon_H23d zenon_Ha0 zenon_H3. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H90 | zenon_intro zenon_Hc2 ]. % 0.70/0.87 apply (zenon_L245_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H4 ]. % 0.70/0.87 apply (zenon_L247_); trivial. % 0.70/0.87 exact (zenon_H3 zenon_H4). % 0.70/0.87 (* end of lemma zenon_L248_ *) % 0.70/0.87 assert (zenon_L249_ : ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a152)) -> (c0_1 (a152)) -> (~(c2_1 (a152))) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (~(c2_1 (a145))) -> (c3_1 (a145)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (ndr1_0) -> (c0_1 (a142)) -> (c1_1 (a142)) -> (c3_1 (a142)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Ha6 zenon_H7f zenon_H7e zenon_H7d zenon_Ha8 zenon_H23c zenon_H23d zenon_Ha0 zenon_Ha zenon_H1ec zenon_H1ed zenon_H1ee. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.70/0.87 apply (zenon_L32_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.70/0.87 apply (zenon_L247_); trivial. % 0.70/0.87 apply (zenon_L150_); trivial. % 0.70/0.87 (* end of lemma zenon_L249_ *) % 0.70/0.87 assert (zenon_L250_ : ((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (c3_1 (a142)) -> (c1_1 (a142)) -> (c0_1 (a142)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a145)) -> (~(c2_1 (a145))) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp1)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hbf zenon_Hba zenon_H1ee zenon_H1ed zenon_H1ec zenon_Ha0 zenon_H23d zenon_H23c zenon_H7d zenon_H7e zenon_H7f zenon_Ha6 zenon_H3. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hba); [ zenon_intro zenon_H90 | zenon_intro zenon_Hc2 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha6); [ zenon_intro zenon_H30 | zenon_intro zenon_Ha7 ]. % 0.70/0.87 apply (zenon_L32_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Ha7); [ zenon_intro zenon_H86 | zenon_intro zenon_H91 ]. % 0.70/0.87 apply (zenon_L248_); trivial. % 0.70/0.87 apply (zenon_L35_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H4 ]. % 0.70/0.87 apply (zenon_L249_); trivial. % 0.70/0.87 exact (zenon_H3 zenon_H4). % 0.70/0.87 (* end of lemma zenon_L250_ *) % 0.70/0.87 assert (zenon_L251_ : ((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a145))) -> (c3_1 (a145)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp20)) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1f5 zenon_Hb9 zenon_H7d zenon_H7e zenon_H7f zenon_Hba zenon_H3 zenon_H23c zenon_H23d zenon_Ha0 zenon_Ha6 zenon_H1f zenon_H45 zenon_H206. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.70/0.87 apply (zenon_L183_); trivial. % 0.70/0.87 apply (zenon_L250_); trivial. % 0.70/0.87 (* end of lemma zenon_L251_ *) % 0.70/0.87 assert (zenon_L252_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a145))/\((~(c0_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp20)) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> (~(hskp18)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(hskp14)) -> (~(hskp16)) -> ((hskp14)\/((hskp16)\/(hskp21))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H250 zenon_Hc5 zenon_H1f8 zenon_Hb9 zenon_Hba zenon_H3 zenon_Ha0 zenon_Ha6 zenon_H1f zenon_H45 zenon_H206 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_H160 zenon_H161 zenon_H169 zenon_H1e4 zenon_H1ea zenon_H21 zenon_H10c zenon_H57 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76 zenon_H1 zenon_H55 zenon_H233. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H231 | zenon_intro zenon_H251 ]. % 0.70/0.87 apply (zenon_L241_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Ha. zenon_intro zenon_H252. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H23d. zenon_intro zenon_H253. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H254. zenon_intro zenon_H23c. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.70/0.87 apply (zenon_L28_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.70/0.87 apply (zenon_L243_); trivial. % 0.70/0.87 apply (zenon_L251_); trivial. % 0.70/0.87 (* end of lemma zenon_L252_ *) % 0.70/0.87 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (~(hskp10)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H202 zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_H21. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H202). zenon_intro zenon_Ha. zenon_intro zenon_H203. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H203). zenon_intro zenon_H1fa. zenon_intro zenon_H204. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H204). zenon_intro zenon_H1fb. zenon_intro zenon_H1f9. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22e ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H22 ]. % 0.70/0.87 apply (zenon_L156_); trivial. % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 (* end of lemma zenon_L253_ *) % 0.70/0.87 assert (zenon_L254_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_H3 zenon_Hba zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H21 zenon_H1a6. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.70/0.87 apply (zenon_L111_); trivial. % 0.70/0.87 apply (zenon_L237_); trivial. % 0.70/0.87 (* end of lemma zenon_L254_ *) % 0.70/0.87 assert (zenon_L255_ : (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> (ndr1_0) -> (c0_1 (a127)) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c3_1 (a127))) -> (c2_1 (a127)) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hac zenon_Ha zenon_H161 zenon_H131 zenon_H160 zenon_H169. % 0.70/0.87 generalize (zenon_Hac (a127)). zenon_intro zenon_H255. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H166 | zenon_intro zenon_H16c ]. % 0.70/0.87 exact (zenon_H166 zenon_H161). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 0.70/0.87 apply (zenon_L95_); trivial. % 0.70/0.87 exact (zenon_H16d zenon_H169). % 0.70/0.87 (* end of lemma zenon_L255_ *) % 0.70/0.87 assert (zenon_L256_ : ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a127)) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (ndr1_0) -> (forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1b8 zenon_H169 zenon_H160 zenon_H161 zenon_Ha zenon_Hac. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.70/0.87 apply (zenon_L255_); trivial. % 0.70/0.87 generalize (zenon_H1b3 (a127)). zenon_intro zenon_H215. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_H9 | zenon_intro zenon_H216 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H165 | zenon_intro zenon_H217 ]. % 0.70/0.87 generalize (zenon_Hac (a127)). zenon_intro zenon_H255. % 0.70/0.87 apply (zenon_imply_s _ _ zenon_H255); [ zenon_intro zenon_H9 | zenon_intro zenon_H256 ]. % 0.70/0.87 exact (zenon_H9 zenon_Ha). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H256); [ zenon_intro zenon_H166 | zenon_intro zenon_H16c ]. % 0.70/0.87 exact (zenon_H166 zenon_H161). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H16c); [ zenon_intro zenon_H15f | zenon_intro zenon_H16d ]. % 0.70/0.87 exact (zenon_H15f zenon_H165). % 0.70/0.87 exact (zenon_H16d zenon_H169). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H166 | zenon_intro zenon_H16d ]. % 0.70/0.87 exact (zenon_H166 zenon_H161). % 0.70/0.87 exact (zenon_H16d zenon_H169). % 0.70/0.87 (* end of lemma zenon_L256_ *) % 0.70/0.87 assert (zenon_L257_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> (c2_1 (a127)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c0_1 (a133)) -> (~(c2_1 (a152))) -> (c0_1 (a152)) -> (c1_1 (a152)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hb9 zenon_Hb6 zenon_H161 zenon_H160 zenon_H169 zenon_H1b8 zenon_H3b zenon_H7d zenon_H7e zenon_H7f zenon_Ha4 zenon_Ha2 zenon_H3a zenon_H3c zenon_Ha0 zenon_Ha6 zenon_H53 zenon_H79 zenon_H7b. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.70/0.87 apply (zenon_L31_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.70/0.87 apply (zenon_L39_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.70/0.87 apply (zenon_L17_); trivial. % 0.70/0.87 apply (zenon_L256_); trivial. % 0.70/0.87 (* end of lemma zenon_L257_ *) % 0.70/0.87 assert (zenon_L258_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> (c2_1 (a127)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c0_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hb8 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_Hb9 zenon_Hb6 zenon_H161 zenon_H160 zenon_H169 zenon_H1b8 zenon_H3b zenon_Ha4 zenon_H3a zenon_H3c zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hbb. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.70/0.87 apply (zenon_L257_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.70/0.87 apply (zenon_L31_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.70/0.87 apply (zenon_L44_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.70/0.87 apply (zenon_L17_); trivial. % 0.70/0.87 apply (zenon_L256_); trivial. % 0.70/0.87 apply (zenon_L118_); trivial. % 0.70/0.87 (* end of lemma zenon_L258_ *) % 0.70/0.87 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c0_1 (a127)) -> (~(c3_1 (a127))) -> (c2_1 (a127)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H4e zenon_Hc5 zenon_Hb9 zenon_Hb6 zenon_H161 zenon_H160 zenon_H169 zenon_H1b8 zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.70/0.87 apply (zenon_L119_); trivial. % 0.70/0.87 apply (zenon_L258_); trivial. % 0.70/0.87 (* end of lemma zenon_L259_ *) % 0.70/0.87 assert (zenon_L260_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp14)\/((hskp16)\/(hskp21))) -> (~(hskp14)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp1)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a145))/\((~(c0_1 (a145)))/\(~(c2_1 (a145))))))) -> (~(hskp13)) -> ((hskp18)\/((hskp19)\/(hskp13))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_Hea zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H176 zenon_H48 zenon_Hb6 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hbb zenon_H233 zenon_H1 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_H1b8 zenon_H134 zenon_H135 zenon_H132 zenon_H1ea zenon_H206 zenon_H45 zenon_Ha6 zenon_Ha0 zenon_H3 zenon_Hba zenon_Hb9 zenon_H1f8 zenon_Hc5 zenon_H250 zenon_H141 zenon_H1e6 zenon_H224 zenon_H225 zenon_H226 zenon_H21 zenon_H22d zenon_H205. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.70/0.87 apply (zenon_L146_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H250); [ zenon_intro zenon_H231 | zenon_intro zenon_H251 ]. % 0.70/0.87 apply (zenon_L241_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H251). zenon_intro zenon_Ha. zenon_intro zenon_H252. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H252). zenon_intro zenon_H23d. zenon_intro zenon_H253. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H253). zenon_intro zenon_H254. zenon_intro zenon_H23c. % 0.70/0.87 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.70/0.87 apply (zenon_L119_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.70/0.87 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.70/0.87 apply (zenon_L193_); trivial. % 0.70/0.87 apply (zenon_L251_); trivial. % 0.70/0.87 apply (zenon_L259_); trivial. % 0.70/0.87 apply (zenon_L253_); trivial. % 0.70/0.87 apply (zenon_L236_); trivial. % 0.70/0.87 (* end of lemma zenon_L260_ *) % 0.70/0.87 assert (zenon_L261_ : ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19)))))) -> (~(c1_1 (a99))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> (ndr1_0) -> False). % 0.70/0.87 do 0 intro. intros zenon_H1b8 zenon_H226 zenon_H225 zenon_Hfa zenon_H224 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.70/0.87 apply (zenon_L114_); trivial. % 0.70/0.87 apply (zenon_L242_); trivial. % 0.70/0.87 (* end of lemma zenon_L261_ *) % 0.70/0.87 assert (zenon_L262_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (~(c1_1 (a103))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H10c zenon_H1a8 zenon_H1a9 zenon_H1aa zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H21. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10d ]. % 0.70/0.87 apply (zenon_L261_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22 ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 (* end of lemma zenon_L262_ *) % 0.70/0.87 assert (zenon_L263_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H257 zenon_H21f zenon_H129 zenon_H1b1 zenon_Ha6 zenon_H144 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_H10c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.70/0.87 apply (zenon_L262_); trivial. % 0.70/0.87 apply (zenon_L115_); trivial. % 0.70/0.87 (* end of lemma zenon_L263_ *) % 0.70/0.87 assert (zenon_L264_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (~(c3_1 (a102))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.70/0.87 do 0 intro. intros zenon_H10c zenon_H1bd zenon_H1bf zenon_H1be zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H21. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10c); [ zenon_intro zenon_Hfa | zenon_intro zenon_H10d ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22e ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H22 ]. % 0.70/0.87 apply (zenon_L132_); trivial. % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 apply (zenon_or_s _ _ zenon_H10d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22 ]. % 0.70/0.87 apply (zenon_L234_); trivial. % 0.70/0.87 exact (zenon_H21 zenon_H22). % 0.70/0.87 (* end of lemma zenon_L264_ *) % 0.70/0.87 assert (zenon_L265_ : ((ndr1_0)/\((c1_1 (a102))/\((c2_1 (a102))/\(~(c3_1 (a102)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp9)\/((hskp14)\/(hskp2))) -> (~(hskp2)) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H25a zenon_H25b zenon_H1b1 zenon_H1b8 zenon_H21f zenon_H129 zenon_H72 zenon_Ha6 zenon_Hf8 zenon_Hf6 zenon_H17 zenon_H19 zenon_Hf3 zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_H10c zenon_H12a zenon_H177 zenon_Hea zenon_H16e zenon_H1cf zenon_H111 zenon_H143 zenon_H144 zenon_H1c6 zenon_H21e. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.70/0.87 apply (zenon_L264_); trivial. % 0.70/0.87 apply (zenon_L126_); trivial. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.70/0.87 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.70/0.87 apply (zenon_L264_); trivial. % 0.70/0.87 apply (zenon_L131_); trivial. % 0.70/0.87 apply (zenon_L263_); trivial. % 0.70/0.87 (* end of lemma zenon_L265_ *) % 0.70/0.87 assert (zenon_L266_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> False). % 0.70/0.87 do 0 intro. intros zenon_H205 zenon_H22d zenon_H1e6 zenon_H141 zenon_H23 zenon_H21 zenon_He zenon_Hd zenon_Hc zenon_H10c zenon_H1ea zenon_H224 zenon_H225 zenon_H226 zenon_H1b8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H43 zenon_H4a zenon_H1f8 zenon_H48 zenon_H176. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.70/0.87 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.88 apply (zenon_L146_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.88 apply (zenon_L14_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.71/0.88 apply (zenon_L243_); trivial. % 0.71/0.88 apply (zenon_L226_); trivial. % 0.71/0.88 apply (zenon_L253_); trivial. % 0.71/0.88 (* end of lemma zenon_L266_ *) % 0.71/0.88 assert (zenon_L267_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> (~(hskp18)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (~(hskp23)) -> (~(hskp16)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H76 zenon_H1f8 zenon_H72 zenon_H6f zenon_Ha0 zenon_He zenon_Hc zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hd8 zenon_Hd9 zenon_Hda zenon_H1d4 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_H160 zenon_H161 zenon_H169 zenon_H1e4 zenon_H1ea zenon_H21 zenon_H10c zenon_H58 zenon_H55 zenon_H57. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.88 apply (zenon_L23_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.71/0.88 apply (zenon_L243_); trivial. % 0.71/0.88 apply (zenon_L152_); trivial. % 0.71/0.88 (* end of lemma zenon_L267_ *) % 0.71/0.88 assert (zenon_L268_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> (c2_1 (a127)) -> (~(hskp18)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hb8 zenon_H1f8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_H160 zenon_H161 zenon_H169 zenon_H1e4 zenon_H1ea zenon_H21 zenon_H10c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.71/0.88 apply (zenon_L243_); trivial. % 0.71/0.88 apply (zenon_L194_); trivial. % 0.71/0.88 (* end of lemma zenon_L268_ *) % 0.71/0.88 assert (zenon_L269_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (c1_1 (a118)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a118))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_Hc8 zenon_Hd2 zenon_Hd3 zenon_Ha zenon_H21. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22e ]. % 0.71/0.88 apply (zenon_L234_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H22 ]. % 0.71/0.88 generalize (zenon_H1c7 (a118)). zenon_intro zenon_H22f. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H22f); [ zenon_intro zenon_H9 | zenon_intro zenon_H230 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H230); [ zenon_intro zenon_Hd7 | zenon_intro zenon_Hd1 ]. % 0.71/0.88 exact (zenon_Hd3 zenon_Hd7). % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hd1); [ zenon_intro zenon_Hc6 | zenon_intro zenon_Hcd ]. % 0.71/0.88 apply (zenon_L50_); trivial. % 0.71/0.88 exact (zenon_Hcd zenon_Hc8). % 0.71/0.88 exact (zenon_H21 zenon_H22). % 0.71/0.88 (* end of lemma zenon_L269_ *) % 0.71/0.88 assert (zenon_L270_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp9)) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H1a4 zenon_Hf4 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H150 zenon_H152 zenon_H21 zenon_H1a6. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.88 apply (zenon_L111_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_L87_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1a5 ]. % 0.71/0.88 apply (zenon_L269_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf5 ]. % 0.71/0.88 apply (zenon_L6_); trivial. % 0.71/0.88 exact (zenon_Hf4 zenon_Hf5). % 0.71/0.88 (* end of lemma zenon_L270_ *) % 0.71/0.88 assert (zenon_L271_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H21 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_L178_); trivial. % 0.71/0.88 apply (zenon_L236_); trivial. % 0.71/0.88 (* end of lemma zenon_L271_ *) % 0.71/0.88 assert (zenon_L272_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H21 zenon_H1a6. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.88 apply (zenon_L111_); trivial. % 0.71/0.88 apply (zenon_L271_); trivial. % 0.71/0.88 (* end of lemma zenon_L272_ *) % 0.71/0.88 assert (zenon_L273_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (~(hskp10)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H126 zenon_H177 zenon_Hf3 zenon_H23 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha4 zenon_Hb9 zenon_H48 zenon_H1a6 zenon_H205 zenon_H22d zenon_H1e6 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_H10c zenon_H21 zenon_H1ea zenon_H224 zenon_H225 zenon_H226 zenon_H1b8 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H1f8 zenon_Hc5 zenon_H176 zenon_Hea. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.88 apply (zenon_L146_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.88 apply (zenon_L28_); trivial. % 0.71/0.88 apply (zenon_L268_); trivial. % 0.71/0.88 apply (zenon_L253_); trivial. % 0.71/0.88 apply (zenon_L236_); trivial. % 0.71/0.88 apply (zenon_L272_); trivial. % 0.71/0.88 (* end of lemma zenon_L273_ *) % 0.71/0.88 assert (zenon_L274_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp9)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1c6 zenon_H177 zenon_H1a4 zenon_Hf4 zenon_H150 zenon_H152 zenon_H1a6 zenon_H12a zenon_H205 zenon_H22d zenon_H1e6 zenon_H23 zenon_H21 zenon_H10c zenon_H1ea zenon_H224 zenon_H225 zenon_H226 zenon_H1b8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1f8 zenon_H48 zenon_H176 zenon_H76 zenon_H72 zenon_H6f zenon_H1d4 zenon_H57 zenon_Hc5 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha4 zenon_He6 zenon_Hb9 zenon_Hea zenon_He9 zenon_Hf3 zenon_H129. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.88 apply (zenon_L74_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.88 apply (zenon_L266_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.88 apply (zenon_L146_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.88 apply (zenon_L267_); trivial. % 0.71/0.88 apply (zenon_L268_); trivial. % 0.71/0.88 apply (zenon_L253_); trivial. % 0.71/0.88 apply (zenon_L171_); trivial. % 0.71/0.88 apply (zenon_L270_); trivial. % 0.71/0.88 apply (zenon_L273_); trivial. % 0.71/0.88 apply (zenon_L238_); trivial. % 0.71/0.88 (* end of lemma zenon_L274_ *) % 0.71/0.88 assert (zenon_L275_ : ((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp18)) -> (~(c1_1 (a105))) -> (c0_1 (a105)) -> (c2_1 (a105)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H170 zenon_Hc5 zenon_H1f8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1ea zenon_H1e4 zenon_H132 zenon_H135 zenon_H134 zenon_H1b8 zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.88 apply (zenon_L28_); trivial. % 0.71/0.88 apply (zenon_L195_); trivial. % 0.71/0.88 (* end of lemma zenon_L275_ *) % 0.71/0.88 assert (zenon_L276_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H126 zenon_H177 zenon_Hf3 zenon_H23 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha4 zenon_Hb9 zenon_H48 zenon_H1a6 zenon_H205 zenon_H22d zenon_H21 zenon_H226 zenon_H225 zenon_H224 zenon_H1e6 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_H1b8 zenon_H134 zenon_H135 zenon_H132 zenon_H1ea zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H1f8 zenon_Hc5 zenon_H176 zenon_Hea. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.88 apply (zenon_L146_); trivial. % 0.71/0.88 apply (zenon_L275_); trivial. % 0.71/0.88 apply (zenon_L253_); trivial. % 0.71/0.88 apply (zenon_L236_); trivial. % 0.71/0.88 apply (zenon_L272_); trivial. % 0.71/0.88 (* end of lemma zenon_L276_ *) % 0.71/0.88 assert (zenon_L277_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp8)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H1c6 zenon_H177 zenon_H152 zenon_H150 zenon_H12a zenon_H205 zenon_H22d zenon_H1e6 zenon_H23 zenon_H21 zenon_H10c zenon_H1ea zenon_H224 zenon_H225 zenon_H226 zenon_H1b8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1f8 zenon_H48 zenon_H176 zenon_H76 zenon_H72 zenon_H6f zenon_H1d4 zenon_H57 zenon_H134 zenon_H135 zenon_H132 zenon_Hc5 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha4 zenon_He6 zenon_Hb9 zenon_Hea zenon_He9 zenon_Hf3 zenon_H1a6 zenon_H129. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.88 apply (zenon_L74_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.88 apply (zenon_L266_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.88 apply (zenon_L146_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.88 apply (zenon_L267_); trivial. % 0.71/0.88 apply (zenon_L195_); trivial. % 0.71/0.88 apply (zenon_L253_); trivial. % 0.71/0.88 apply (zenon_L171_); trivial. % 0.71/0.88 apply (zenon_L172_); trivial. % 0.71/0.88 apply (zenon_L276_); trivial. % 0.71/0.88 apply (zenon_L238_); trivial. % 0.71/0.88 (* end of lemma zenon_L277_ *) % 0.71/0.88 assert (zenon_L278_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> (~(hskp10)) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp6)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hf0 zenon_H189 zenon_H180 zenon_H17f zenon_H17e zenon_H21 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H187. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H189); [ zenon_intro zenon_H17d | zenon_intro zenon_H18a ]. % 0.71/0.88 apply (zenon_L100_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H18a); [ zenon_intro zenon_H5b | zenon_intro zenon_H188 ]. % 0.71/0.88 apply (zenon_L235_); trivial. % 0.71/0.88 exact (zenon_H187 zenon_H188). % 0.71/0.88 (* end of lemma zenon_L278_ *) % 0.71/0.88 assert (zenon_L279_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H21 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_L219_); trivial. % 0.71/0.88 apply (zenon_L278_); trivial. % 0.71/0.88 (* end of lemma zenon_L279_ *) % 0.71/0.88 assert (zenon_L280_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hf3 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H21 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H15 zenon_H79 zenon_H12a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.88 apply (zenon_L74_); trivial. % 0.71/0.88 apply (zenon_L279_); trivial. % 0.71/0.88 (* end of lemma zenon_L280_ *) % 0.71/0.88 assert (zenon_L281_ : ((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H21d zenon_H21f zenon_Ha6 zenon_H129 zenon_H177 zenon_H1a6 zenon_H205 zenon_H1e6 zenon_H72 zenon_H6f zenon_H10c zenon_H1ea zenon_H1b8 zenon_H1f8 zenon_H176 zenon_H12a zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_Hea zenon_Hf3 zenon_H1c6. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.88 apply (zenon_L280_); trivial. % 0.71/0.88 apply (zenon_L273_); trivial. % 0.71/0.88 apply (zenon_L238_); trivial. % 0.71/0.88 apply (zenon_L104_); trivial. % 0.71/0.88 (* end of lemma zenon_L281_ *) % 0.71/0.88 assert (zenon_L282_ : ((ndr1_0)/\((c1_1 (a102))/\((c2_1 (a102))/\(~(c3_1 (a102)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H25a zenon_H25b zenon_H1b1 zenon_H144 zenon_H1b8 zenon_H10c zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H129 zenon_Ha6 zenon_H12a zenon_Hb9 zenon_H72 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H45 zenon_H206 zenon_H48 zenon_Hf3 zenon_H213 zenon_H1cf zenon_H111 zenon_He6 zenon_Hea zenon_H1c6 zenon_H21f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.88 apply (zenon_L264_); trivial. % 0.71/0.88 apply (zenon_L233_); trivial. % 0.71/0.88 apply (zenon_L263_); trivial. % 0.71/0.88 (* end of lemma zenon_L282_ *) % 0.71/0.88 assert (zenon_L283_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hd2 zenon_Ha zenon_H25e zenon_H25f zenon_H260. % 0.71/0.88 generalize (zenon_Hd2 (a98)). zenon_intro zenon_H261. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_H9 | zenon_intro zenon_H262 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_H264 | zenon_intro zenon_H263 ]. % 0.71/0.88 exact (zenon_H25e zenon_H264). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_H266 | zenon_intro zenon_H265 ]. % 0.71/0.88 exact (zenon_H25f zenon_H266). % 0.71/0.88 exact (zenon_H265 zenon_H260). % 0.71/0.88 (* end of lemma zenon_L283_ *) % 0.71/0.88 assert (zenon_L284_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H4e zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H4a zenon_Hc zenon_He zenon_Ha0 zenon_H43. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L143_); trivial. % 0.71/0.88 (* end of lemma zenon_L284_ *) % 0.71/0.88 assert (zenon_L285_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H48 zenon_He6 zenon_Ha0 zenon_H43 zenon_H4a zenon_H260 zenon_H25f zenon_H25e zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.88 apply (zenon_L14_); trivial. % 0.71/0.88 apply (zenon_L284_); trivial. % 0.71/0.88 (* end of lemma zenon_L285_ *) % 0.71/0.88 assert (zenon_L286_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hb8 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_Hb9 zenon_He6 zenon_Ha0 zenon_Ha4 zenon_H3c zenon_H3b zenon_H3a zenon_H260 zenon_H25f zenon_H25e zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L38_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L43_); trivial. % 0.71/0.88 apply (zenon_L27_); trivial. % 0.71/0.88 (* end of lemma zenon_L286_ *) % 0.71/0.88 assert (zenon_L287_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H4e zenon_Hc5 zenon_Hb9 zenon_He6 zenon_Ha0 zenon_Ha4 zenon_H260 zenon_H25f zenon_H25e zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.88 apply (zenon_L28_); trivial. % 0.71/0.88 apply (zenon_L286_); trivial. % 0.71/0.88 (* end of lemma zenon_L287_ *) % 0.71/0.88 assert (zenon_L288_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H48 zenon_Hc5 zenon_Hb9 zenon_He6 zenon_Ha0 zenon_Ha4 zenon_H260 zenon_H25f zenon_H25e zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.88 apply (zenon_L14_); trivial. % 0.71/0.88 apply (zenon_L287_); trivial. % 0.71/0.88 (* end of lemma zenon_L288_ *) % 0.71/0.88 assert (zenon_L289_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (ndr1_0) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a118)) -> (forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Ha4 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_Hc7 zenon_H5b zenon_Hc8 zenon_H86 zenon_H3a zenon_H3c zenon_Ha0 zenon_Ha2 zenon_H79. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.71/0.88 apply (zenon_L164_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.71/0.88 exact (zenon_Ha2 zenon_Ha3). % 0.71/0.88 exact (zenon_H79 zenon_H7a). % 0.71/0.88 (* end of lemma zenon_L289_ *) % 0.71/0.88 assert (zenon_L290_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (c0_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (ndr1_0) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a118)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.71/0.88 do 0 intro. intros zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H3b zenon_Ha4 zenon_H94 zenon_H93 zenon_H92 zenon_Ha zenon_Hc7 zenon_H5b zenon_Hc8 zenon_H3a zenon_H3c zenon_Ha0 zenon_Ha2 zenon_H79. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L289_); trivial. % 0.71/0.88 (* end of lemma zenon_L290_ *) % 0.71/0.88 assert (zenon_L291_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> False). % 0.71/0.88 do 0 intro. intros zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_H65 zenon_Hd8 zenon_Hd9 zenon_Hda. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L52_); trivial. % 0.71/0.88 (* end of lemma zenon_L291_ *) % 0.71/0.88 assert (zenon_L292_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a165)) -> (c3_1 (a165)) -> (c1_1 (a165)) -> (~(c2_1 (a118))) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (c1_1 (a118)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a133)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (ndr1_0) -> (c0_1 (a94)) -> (c1_1 (a94)) -> (c2_1 (a94)) -> False). % 0.71/0.88 do 0 intro. intros zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_Hb6 zenon_H94 zenon_H93 zenon_H92 zenon_Hc7 zenon_H5b zenon_Hc8 zenon_Ha0 zenon_H3c zenon_H3b zenon_H3a zenon_Ha zenon_Had zenon_Hae zenon_Haf. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.71/0.88 apply (zenon_L164_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L42_); trivial. % 0.71/0.88 (* end of lemma zenon_L292_ *) % 0.71/0.88 assert (zenon_L293_ : ((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c2_1 (a94)) -> (c1_1 (a94)) -> (c0_1 (a94)) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c1_1 (a118)) -> (~(c2_1 (a118))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> (~(hskp7)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hbf zenon_H72 zenon_Haf zenon_Hae zenon_Had zenon_H3a zenon_H3b zenon_H3c zenon_Ha0 zenon_Hc8 zenon_Hc7 zenon_Hb6 zenon_H25e zenon_H25f zenon_H260 zenon_He6 zenon_H68 zenon_H67 zenon_H66 zenon_H6f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.88 apply (zenon_L292_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.88 apply (zenon_L25_); trivial. % 0.71/0.88 exact (zenon_H6f zenon_H70). % 0.71/0.88 (* end of lemma zenon_L293_ *) % 0.71/0.88 assert (zenon_L294_ : ((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hbe zenon_Hb9 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H25e zenon_H25f zenon_H260 zenon_H3a zenon_H3b zenon_H3c zenon_Hb6 zenon_Hc7 zenon_Hc8 zenon_Ha0 zenon_He6 zenon_H53 zenon_H79 zenon_H7b. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_L293_); trivial. % 0.71/0.88 (* end of lemma zenon_L294_ *) % 0.71/0.88 assert (zenon_L295_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_He9 zenon_Hea zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H23 zenon_H21 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.88 apply (zenon_L285_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.88 apply (zenon_L288_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.88 apply (zenon_L14_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.88 apply (zenon_L31_); trivial. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.88 apply (zenon_L290_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.88 apply (zenon_L291_); trivial. % 0.71/0.88 exact (zenon_H6f zenon_H70). % 0.71/0.88 apply (zenon_L294_); trivial. % 0.71/0.88 apply (zenon_L27_); trivial. % 0.71/0.88 (* end of lemma zenon_L295_ *) % 0.71/0.88 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_He9 zenon_H111 zenon_H10c zenon_Hfd zenon_Hfc zenon_Hfb zenon_H23 zenon_H21 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.88 apply (zenon_L285_); trivial. % 0.71/0.88 apply (zenon_L63_); trivial. % 0.71/0.88 (* end of lemma zenon_L296_ *) % 0.71/0.88 assert (zenon_L297_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp1)) -> (~(hskp3)) -> ((hskp14)\/((hskp1)\/(hskp3))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H12c zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_H23 zenon_H21 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48 zenon_H3 zenon_H5 zenon_H7. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.88 apply (zenon_L4_); trivial. % 0.71/0.88 apply (zenon_L296_); trivial. % 0.71/0.88 (* end of lemma zenon_L297_ *) % 0.71/0.88 assert (zenon_L298_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1)))))) -> (c2_1 (a109)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H90 zenon_Ha zenon_Hfb zenon_H267 zenon_Hfd. % 0.71/0.88 generalize (zenon_H90 (a109)). zenon_intro zenon_H105. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H105); [ zenon_intro zenon_H9 | zenon_intro zenon_H106 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_H101 | zenon_intro zenon_H107 ]. % 0.71/0.88 exact (zenon_Hfb zenon_H101). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H107); [ zenon_intro zenon_H108 | zenon_intro zenon_H102 ]. % 0.71/0.88 generalize (zenon_H267 (a109)). zenon_intro zenon_H268. % 0.71/0.88 apply (zenon_imply_s _ _ zenon_H268); [ zenon_intro zenon_H9 | zenon_intro zenon_H269 ]. % 0.71/0.88 exact (zenon_H9 zenon_Ha). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H269); [ zenon_intro zenon_H101 | zenon_intro zenon_H26a ]. % 0.71/0.88 exact (zenon_Hfb zenon_H101). % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26a); [ zenon_intro zenon_H10b | zenon_intro zenon_H102 ]. % 0.71/0.88 exact (zenon_H108 zenon_H10b). % 0.71/0.88 exact (zenon_H102 zenon_Hfd). % 0.71/0.88 exact (zenon_H102 zenon_Hfd). % 0.71/0.88 (* end of lemma zenon_L298_ *) % 0.71/0.88 assert (zenon_L299_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> (forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1)))))) -> (~(c0_1 (a109))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H111 zenon_Hfc zenon_Hfd zenon_H267 zenon_Hfb zenon_Ha6 zenon_H114 zenon_Ha zenon_H115 zenon_H11f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.71/0.88 apply (zenon_L59_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.71/0.88 apply (zenon_L298_); trivial. % 0.71/0.88 apply (zenon_L80_); trivial. % 0.71/0.88 (* end of lemma zenon_L299_ *) % 0.71/0.88 assert (zenon_L300_ : ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (c1_1 (a165)) -> (c3_1 (a165)) -> (c2_1 (a165)) -> (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H111 zenon_Hfd zenon_Hfc zenon_Hfb zenon_H92 zenon_H93 zenon_H94 zenon_Ha8 zenon_Ha6 zenon_H114 zenon_Ha zenon_H115 zenon_H11f. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.71/0.88 apply (zenon_L59_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.71/0.88 apply (zenon_L40_); trivial. % 0.71/0.88 apply (zenon_L80_); trivial. % 0.71/0.88 (* end of lemma zenon_L300_ *) % 0.71/0.88 assert (zenon_L301_ : ((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165))))) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(hskp1)) -> False). % 0.71/0.88 do 0 intro. intros zenon_Hbf zenon_H26b zenon_H11f zenon_H115 zenon_H114 zenon_Ha6 zenon_Hfb zenon_Hfc zenon_Hfd zenon_H111 zenon_H3. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H26b); [ zenon_intro zenon_H267 | zenon_intro zenon_Hc2 ]. % 0.71/0.88 apply (zenon_L299_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H4 ]. % 0.71/0.88 apply (zenon_L300_); trivial. % 0.71/0.88 exact (zenon_H3 zenon_H4). % 0.71/0.88 (* end of lemma zenon_L301_ *) % 0.71/0.88 assert (zenon_L302_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.88 do 0 intro. intros zenon_H4e zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H114 zenon_H115 zenon_H11f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.88 apply (zenon_L17_); trivial. % 0.71/0.88 apply (zenon_L69_); trivial. % 0.71/0.88 (* end of lemma zenon_L302_ *) % 0.71/0.88 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H12c zenon_H48 zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H206 zenon_H45 zenon_H111 zenon_H114 zenon_H115 zenon_H11f zenon_Ha6 zenon_H3 zenon_H26b zenon_Hb9. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.88 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.88 apply (zenon_L183_); trivial. % 0.71/0.88 apply (zenon_L301_); trivial. % 0.71/0.88 apply (zenon_L302_); trivial. % 0.71/0.88 (* end of lemma zenon_L303_ *) % 0.71/0.88 assert (zenon_L304_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(hskp1)) -> ((forall X1 : zenon_U, ((ndr1_0)->((c0_1 X1)\/((c1_1 X1)\/(~(c2_1 X1))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp5)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.71/0.88 do 0 intro. intros zenon_H175 zenon_H1c6 zenon_H48 zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H206 zenon_H45 zenon_H111 zenon_H3 zenon_H26b zenon_Hb9 zenon_Hf3 zenon_H19 zenon_H17 zenon_H12a zenon_Ha6 zenon_H6f zenon_H72 zenon_H129. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.88 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.88 apply (zenon_L127_); trivial. % 0.71/0.88 apply (zenon_L303_); trivial. % 0.71/0.88 (* end of lemma zenon_L304_ *) % 0.71/0.88 assert (zenon_L305_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp9)) -> False). % 0.71/0.88 do 0 intro. intros zenon_He8 zenon_H1a4 zenon_H260 zenon_H25f zenon_H25e zenon_Hf4. % 0.71/0.88 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.88 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1a5 ]. % 0.71/0.88 apply (zenon_L283_); trivial. % 0.71/0.88 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf5 ]. % 0.71/0.88 apply (zenon_L6_); trivial. % 0.71/0.88 exact (zenon_Hf4 zenon_Hf5). % 0.71/0.88 (* end of lemma zenon_L305_ *) % 0.71/0.88 assert (zenon_L306_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((hskp14)\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H257 zenon_H21e zenon_H1b8 zenon_H7 zenon_H5 zenon_H3 zenon_H25e zenon_H25f zenon_H260 zenon_H1a4 zenon_Hf3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L4_); trivial. % 0.71/0.89 apply (zenon_L305_); trivial. % 0.71/0.89 apply (zenon_L117_); trivial. % 0.71/0.89 (* end of lemma zenon_L306_ *) % 0.71/0.89 assert (zenon_L307_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> (~(c0_1 (a116))) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H71 zenon_H72 zenon_Hda zenon_Hd9 zenon_Hd8 zenon_H3a zenon_H3b zenon_H3c zenon_H25e zenon_H25f zenon_H260 zenon_He6 zenon_H6f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.89 apply (zenon_L24_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.89 apply (zenon_L291_); trivial. % 0.71/0.89 exact (zenon_H6f zenon_H70). % 0.71/0.89 (* end of lemma zenon_L307_ *) % 0.71/0.89 assert (zenon_L308_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hb8 zenon_H76 zenon_H72 zenon_H6f zenon_H25e zenon_H25f zenon_H260 zenon_Hd8 zenon_Hd9 zenon_Hda zenon_He6 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_H3a zenon_H3b zenon_H3c zenon_Hb6 zenon_Hbb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.89 apply (zenon_L176_); trivial. % 0.71/0.89 apply (zenon_L307_); trivial. % 0.71/0.89 (* end of lemma zenon_L308_ *) % 0.71/0.89 assert (zenon_L309_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a116)) -> (c3_1 (a116)) -> (~(c0_1 (a116))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H4e zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_He6 zenon_Hda zenon_Hd9 zenon_Hd8 zenon_H260 zenon_H25f zenon_H25e zenon_H6f zenon_H72 zenon_H76. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.89 apply (zenon_L23_); trivial. % 0.71/0.89 apply (zenon_L307_); trivial. % 0.71/0.89 apply (zenon_L308_); trivial. % 0.71/0.89 (* end of lemma zenon_L309_ *) % 0.71/0.89 assert (zenon_L310_ : ((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hbe zenon_Hb9 zenon_H72 zenon_H6f zenon_Hd8 zenon_Hd9 zenon_Hda zenon_H25e zenon_H25f zenon_H260 zenon_H3a zenon_H3b zenon_H3c zenon_Hb6 zenon_Hc7 zenon_Hc8 zenon_Ha0 zenon_He6 zenon_H53 zenon_H79 zenon_H7b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.89 apply (zenon_L31_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.89 apply (zenon_L292_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.89 apply (zenon_L291_); trivial. % 0.71/0.89 exact (zenon_H6f zenon_H70). % 0.71/0.89 (* end of lemma zenon_L310_ *) % 0.71/0.89 assert (zenon_L311_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> (~(c0_1 (a116))) -> (c3_1 (a116)) -> (c1_1 (a116)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H25e zenon_H25f zenon_H260 zenon_Hd8 zenon_Hd9 zenon_Hda zenon_He6 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.89 apply (zenon_L14_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.89 apply (zenon_L31_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.89 apply (zenon_L166_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.89 apply (zenon_L291_); trivial. % 0.71/0.89 exact (zenon_H6f zenon_H70). % 0.71/0.89 apply (zenon_L310_); trivial. % 0.71/0.89 apply (zenon_L307_); trivial. % 0.71/0.89 (* end of lemma zenon_L311_ *) % 0.71/0.89 assert (zenon_L312_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_He8 zenon_He9 zenon_Hea zenon_H1d4 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H23 zenon_H21 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48. % 0.71/0.89 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.89 apply (zenon_L285_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.89 apply (zenon_L14_); trivial. % 0.71/0.89 apply (zenon_L309_); trivial. % 0.71/0.89 apply (zenon_L311_); trivial. % 0.71/0.89 (* end of lemma zenon_L312_ *) % 0.71/0.89 assert (zenon_L313_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c1_1 (a118)) -> (~(c2_1 (a118))) -> (ndr1_0) -> (forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6)))))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Hc8 zenon_Hc7 zenon_Ha zenon_H5b zenon_H114 zenon_H115 zenon_H11f. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.71/0.89 apply (zenon_L140_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.71/0.89 apply (zenon_L49_); trivial. % 0.71/0.89 apply (zenon_L70_); trivial. % 0.71/0.89 (* end of lemma zenon_L313_ *) % 0.71/0.89 assert (zenon_L314_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp20)) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hb9 zenon_H72 zenon_H6f zenon_He zenon_Hc zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hc7 zenon_Hc8 zenon_H114 zenon_H115 zenon_H11f zenon_Ha0 zenon_H1f zenon_H45 zenon_H206. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.71/0.89 apply (zenon_L183_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.89 apply (zenon_L313_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.89 apply (zenon_L187_); trivial. % 0.71/0.89 exact (zenon_H6f zenon_H70). % 0.71/0.89 (* end of lemma zenon_L314_ *) % 0.71/0.89 assert (zenon_L315_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H206 zenon_H45 zenon_Ha0 zenon_H11f zenon_H115 zenon_H114 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_Hc zenon_He zenon_H6f zenon_H72 zenon_Hb9. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.89 apply (zenon_L314_); trivial. % 0.71/0.89 apply (zenon_L302_); trivial. % 0.71/0.89 (* end of lemma zenon_L315_ *) % 0.71/0.89 assert (zenon_L316_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(hskp14)) -> (~(hskp10)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H4e zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H1a6 zenon_H1 zenon_H21. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.89 apply (zenon_L283_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.89 apply (zenon_L17_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a6); [ zenon_intro zenon_H146 | zenon_intro zenon_H1a7 ]. % 0.71/0.89 apply (zenon_L108_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a7); [ zenon_intro zenon_H2 | zenon_intro zenon_H22 ]. % 0.71/0.89 exact (zenon_H1 zenon_H2). % 0.71/0.89 exact (zenon_H21 zenon_H22). % 0.71/0.89 (* end of lemma zenon_L316_ *) % 0.71/0.89 assert (zenon_L317_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a145))/\((~(c0_1 (a145)))/\(~(c2_1 (a145))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp0)) -> ((hskp20)\/((hskp29)\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (~(hskp10)) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(hskp14)) -> (~(hskp16)) -> ((hskp14)\/((hskp16)\/(hskp21))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H205 zenon_H22d zenon_H1e6 zenon_H141 zenon_H250 zenon_Hc5 zenon_H1f8 zenon_Hb9 zenon_Hba zenon_H3 zenon_Ha0 zenon_Ha6 zenon_H45 zenon_H206 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_H1ea zenon_H21 zenon_H10c zenon_H57 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76 zenon_H1 zenon_H55 zenon_H233 zenon_H25e zenon_H25f zenon_H260 zenon_H1a6 zenon_He6 zenon_H48 zenon_H176. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.89 apply (zenon_L146_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.89 apply (zenon_L252_); trivial. % 0.71/0.89 apply (zenon_L316_); trivial. % 0.71/0.89 apply (zenon_L253_); trivial. % 0.71/0.89 (* end of lemma zenon_L317_ *) % 0.71/0.89 assert (zenon_L318_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_He8 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H21 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_Hb9 zenon_Hc5 zenon_H48. % 0.71/0.89 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L288_); trivial. % 0.71/0.89 apply (zenon_L236_); trivial. % 0.71/0.89 (* end of lemma zenon_L318_ *) % 0.71/0.89 assert (zenon_L319_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H21 zenon_H1a6. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L111_); trivial. % 0.71/0.89 apply (zenon_L318_); trivial. % 0.71/0.89 (* end of lemma zenon_L319_ *) % 0.71/0.89 assert (zenon_L320_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hf3 zenon_He9 zenon_Hea zenon_H1d4 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H23 zenon_H21 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48 zenon_H15 zenon_H79 zenon_H12a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L74_); trivial. % 0.71/0.89 apply (zenon_L312_); trivial. % 0.71/0.89 (* end of lemma zenon_L320_ *) % 0.71/0.89 assert (zenon_L321_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (c3_1 (a101)) -> (~(c1_1 (a101))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c2_1 (a101))) -> (ndr1_0) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.89 do 0 intro. intros zenon_He6 zenon_H260 zenon_H25f zenon_H25e zenon_H1d8 zenon_H1d6 zenon_H20a zenon_H1d7 zenon_Ha zenon_H114 zenon_H115 zenon_H11f. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He6); [ zenon_intro zenon_Hd2 | zenon_intro zenon_He7 ]. % 0.71/0.89 apply (zenon_L283_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_He7); [ zenon_intro zenon_H39 | zenon_intro zenon_H86 ]. % 0.71/0.89 apply (zenon_L201_); trivial. % 0.71/0.89 apply (zenon_L69_); trivial. % 0.71/0.89 (* end of lemma zenon_L321_ *) % 0.71/0.89 assert (zenon_L322_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H175 zenon_H213 zenon_H25e zenon_H25f zenon_H260 zenon_He6 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H224 zenon_H225 zenon_H226. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H20a | zenon_intro zenon_H214 ]. % 0.71/0.89 apply (zenon_L321_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H10e | zenon_intro zenon_H104 ]. % 0.71/0.89 apply (zenon_L199_); trivial. % 0.71/0.89 apply (zenon_L234_); trivial. % 0.71/0.89 (* end of lemma zenon_L322_ *) % 0.71/0.89 assert (zenon_L323_ : ((ndr1_0)/\((c3_1 (a101))/\((~(c1_1 (a101)))/\(~(c2_1 (a101)))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103))))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((hskp18)\/((hskp19)\/(hskp13))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H26c zenon_H25b zenon_H1c6 zenon_Hf3 zenon_He9 zenon_Hea zenon_H1d4 zenon_H76 zenon_H72 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H23 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48 zenon_H12a zenon_H176 zenon_H1f8 zenon_H1b8 zenon_H226 zenon_H225 zenon_H224 zenon_H1ea zenon_H10c zenon_H1e6 zenon_H22d zenon_H205 zenon_H1a6 zenon_H177 zenon_H129 zenon_H213 zenon_H21f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.89 apply (zenon_L320_); trivial. % 0.71/0.89 apply (zenon_L273_); trivial. % 0.71/0.89 apply (zenon_L238_); trivial. % 0.71/0.89 apply (zenon_L322_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.89 apply (zenon_L262_); trivial. % 0.71/0.89 apply (zenon_L322_); trivial. % 0.71/0.89 (* end of lemma zenon_L323_ *) % 0.71/0.89 assert (zenon_L324_ : (forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57)))))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H133 zenon_Ha zenon_H26f zenon_H270 zenon_H271. % 0.71/0.89 generalize (zenon_H133 (a97)). zenon_intro zenon_H272. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H272); [ zenon_intro zenon_H9 | zenon_intro zenon_H273 ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H275 | zenon_intro zenon_H274 ]. % 0.71/0.89 exact (zenon_H26f zenon_H275). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.71/0.89 exact (zenon_H277 zenon_H270). % 0.71/0.89 exact (zenon_H276 zenon_H271). % 0.71/0.89 (* end of lemma zenon_L324_ *) % 0.71/0.89 assert (zenon_L325_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (~(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> False). % 0.71/0.89 do 0 intro. intros zenon_H143 zenon_H141 zenon_H271 zenon_H270 zenon_H26f zenon_Ha. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H143); [ zenon_intro zenon_H133 | zenon_intro zenon_H142 ]. % 0.71/0.89 apply (zenon_L324_); trivial. % 0.71/0.89 exact (zenon_H141 zenon_H142). % 0.71/0.89 (* end of lemma zenon_L325_ *) % 0.71/0.89 assert (zenon_L326_ : (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(c0_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H65 zenon_Ha zenon_H278 zenon_H270 zenon_H271. % 0.71/0.89 generalize (zenon_H65 (a97)). zenon_intro zenon_H279. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H279); [ zenon_intro zenon_H9 | zenon_intro zenon_H27a ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27a); [ zenon_intro zenon_H27b | zenon_intro zenon_H274 ]. % 0.71/0.89 exact (zenon_H278 zenon_H27b). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.71/0.89 exact (zenon_H277 zenon_H270). % 0.71/0.89 exact (zenon_H276 zenon_H271). % 0.71/0.89 (* end of lemma zenon_L326_ *) % 0.71/0.89 assert (zenon_L327_ : (forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> False). % 0.71/0.89 do 0 intro. intros zenon_Ha8 zenon_Ha zenon_H65 zenon_H270 zenon_H271. % 0.71/0.89 generalize (zenon_Ha8 (a97)). zenon_intro zenon_H27c. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H27c); [ zenon_intro zenon_H9 | zenon_intro zenon_H27d ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27d); [ zenon_intro zenon_H278 | zenon_intro zenon_H274 ]. % 0.71/0.89 apply (zenon_L326_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H277 | zenon_intro zenon_H276 ]. % 0.71/0.89 exact (zenon_H277 zenon_H270). % 0.71/0.89 exact (zenon_H276 zenon_H271). % 0.71/0.89 (* end of lemma zenon_L327_ *) % 0.71/0.89 assert (zenon_L328_ : ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H27e zenon_He zenon_Hd zenon_Hc zenon_H271 zenon_H270 zenon_H65 zenon_Ha zenon_H150. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_Hb | zenon_intro zenon_H27f ]. % 0.71/0.89 apply (zenon_L6_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H27f); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H151 ]. % 0.71/0.89 apply (zenon_L327_); trivial. % 0.71/0.89 exact (zenon_H150 zenon_H151). % 0.71/0.89 (* end of lemma zenon_L328_ *) % 0.71/0.89 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp8)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp7)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H71 zenon_H72 zenon_H150 zenon_H270 zenon_H271 zenon_Hc zenon_Hd zenon_He zenon_H27e zenon_H6f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.89 apply (zenon_L24_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.89 apply (zenon_L328_); trivial. % 0.71/0.89 exact (zenon_H6f zenon_H70). % 0.71/0.89 (* end of lemma zenon_L329_ *) % 0.71/0.89 assert (zenon_L330_ : ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp23)) -> (~(hskp16)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H76 zenon_H72 zenon_H6f zenon_Hc zenon_Hd zenon_He zenon_H270 zenon_H271 zenon_H150 zenon_H27e zenon_H58 zenon_H55 zenon_H57. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.71/0.89 apply (zenon_L23_); trivial. % 0.71/0.89 apply (zenon_L329_); trivial. % 0.71/0.89 (* end of lemma zenon_L330_ *) % 0.71/0.89 assert (zenon_L331_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hc5 zenon_H1bb zenon_H5 zenon_H187 zenon_H57 zenon_H55 zenon_H27e zenon_H150 zenon_H271 zenon_H270 zenon_He zenon_Hd zenon_Hc zenon_H6f zenon_H72 zenon_H76. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.89 apply (zenon_L330_); trivial. % 0.71/0.89 apply (zenon_L120_); trivial. % 0.71/0.89 (* end of lemma zenon_L331_ *) % 0.71/0.89 assert (zenon_L332_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp5)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H15a zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H158 zenon_H17. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H133 | zenon_intro zenon_H15b ]. % 0.71/0.89 apply (zenon_L324_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H15b); [ zenon_intro zenon_H159 | zenon_intro zenon_H18 ]. % 0.71/0.89 exact (zenon_H158 zenon_H159). % 0.71/0.89 exact (zenon_H17 zenon_H18). % 0.71/0.89 (* end of lemma zenon_L332_ *) % 0.71/0.89 assert (zenon_L333_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c3_1 X3)))))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1b3 zenon_Ha zenon_H26f zenon_H280 zenon_H271 zenon_H270. % 0.71/0.89 generalize (zenon_H1b3 (a97)). zenon_intro zenon_H281. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H9 | zenon_intro zenon_H282 ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H275 | zenon_intro zenon_H283 ]. % 0.71/0.89 exact (zenon_H26f zenon_H275). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H278 | zenon_intro zenon_H277 ]. % 0.71/0.89 generalize (zenon_H280 (a97)). zenon_intro zenon_H284. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H284); [ zenon_intro zenon_H9 | zenon_intro zenon_H285 ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H27b | zenon_intro zenon_H286 ]. % 0.71/0.89 exact (zenon_H278 zenon_H27b). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H286); [ zenon_intro zenon_H275 | zenon_intro zenon_H276 ]. % 0.71/0.89 exact (zenon_H26f zenon_H275). % 0.71/0.89 exact (zenon_H276 zenon_H271). % 0.71/0.89 exact (zenon_H277 zenon_H270). % 0.71/0.89 (* end of lemma zenon_L333_ *) % 0.71/0.89 assert (zenon_L334_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c3_1 X3))))))\/((hskp2)\/(hskp3))) -> (~(hskp3)) -> (~(hskp2)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hf0 zenon_H176 zenon_H287 zenon_H5 zenon_Hf6 zenon_H16e zenon_H1b8 zenon_H26f zenon_H270 zenon_H271 zenon_H17 zenon_H15a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.89 apply (zenon_L332_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H280 | zenon_intro zenon_H288 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.71/0.89 apply (zenon_L97_); trivial. % 0.71/0.89 apply (zenon_L333_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6 ]. % 0.71/0.89 exact (zenon_Hf6 zenon_Hf7). % 0.71/0.89 exact (zenon_H5 zenon_H6). % 0.71/0.89 (* end of lemma zenon_L334_ *) % 0.71/0.89 assert (zenon_L335_ : ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp14)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H289 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H1e4 zenon_H1. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H289); [ zenon_intro zenon_H133 | zenon_intro zenon_H28a ]. % 0.71/0.89 apply (zenon_L324_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H1e5 | zenon_intro zenon_H2 ]. % 0.71/0.89 exact (zenon_H1e4 zenon_H1e5). % 0.71/0.89 exact (zenon_H1 zenon_H2). % 0.71/0.89 (* end of lemma zenon_L335_ *) % 0.71/0.89 assert (zenon_L336_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H205 zenon_H1cf zenon_H55 zenon_H149 zenon_H148 zenon_H147 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H1 zenon_H289. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.89 apply (zenon_L335_); trivial. % 0.71/0.89 apply (zenon_L227_); trivial. % 0.71/0.89 (* end of lemma zenon_L336_ *) % 0.71/0.89 assert (zenon_L337_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H175 zenon_H129 zenon_H72 zenon_H6f zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_Hea zenon_H176 zenon_H171 zenon_H150 zenon_H16e zenon_H144 zenon_Ha6 zenon_H17 zenon_H15a zenon_H289 zenon_H1cf zenon_H205 zenon_H19 zenon_Hf3 zenon_H177. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.89 apply (zenon_L325_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L336_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.89 apply (zenon_L332_); trivial. % 0.71/0.89 apply (zenon_L98_); trivial. % 0.71/0.89 apply (zenon_L66_); trivial. % 0.71/0.89 apply (zenon_L72_); trivial. % 0.71/0.89 (* end of lemma zenon_L337_ *) % 0.71/0.89 assert (zenon_L338_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp2)) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c3_1 X3))))))\/((hskp2)\/(hskp3))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H21f zenon_H129 zenon_H171 zenon_H144 zenon_Ha6 zenon_H289 zenon_H1cf zenon_H205 zenon_H19 zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H1a6 zenon_Hc5 zenon_H1bb zenon_H5 zenon_H187 zenon_H57 zenon_H27e zenon_H150 zenon_H6f zenon_H72 zenon_H76 zenon_H15a zenon_H17 zenon_H1b8 zenon_H16e zenon_Hf6 zenon_H287 zenon_H176 zenon_Hea zenon_Hf3 zenon_H177. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.89 apply (zenon_L325_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L111_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L331_); trivial. % 0.71/0.89 apply (zenon_L334_); trivial. % 0.71/0.89 apply (zenon_L337_); trivial. % 0.71/0.89 (* end of lemma zenon_L338_ *) % 0.71/0.89 assert (zenon_L339_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H177 zenon_Hf3 zenon_H19 zenon_H17 zenon_H15 zenon_H21 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.89 apply (zenon_L325_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L111_); trivial. % 0.71/0.89 apply (zenon_L66_); trivial. % 0.71/0.89 (* end of lemma zenon_L339_ *) % 0.71/0.89 assert (zenon_L340_ : ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hc5 zenon_H1bb zenon_H5 zenon_H187 zenon_H57 zenon_H55 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_H76. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.89 apply (zenon_L28_); trivial. % 0.71/0.89 apply (zenon_L120_); trivial. % 0.71/0.89 (* end of lemma zenon_L340_ *) % 0.71/0.89 assert (zenon_L341_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((forall X3 : zenon_U, ((ndr1_0)->((c0_1 X3)\/((c1_1 X3)\/(~(c3_1 X3))))))\/((hskp2)\/(hskp3))) -> (~(c1_1 (a97))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(hskp2)) -> (~(hskp3)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H257 zenon_H287 zenon_H26f zenon_H271 zenon_H270 zenon_H1b8 zenon_Hf6 zenon_H5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H287); [ zenon_intro zenon_H280 | zenon_intro zenon_H288 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.71/0.89 apply (zenon_L114_); trivial. % 0.71/0.89 apply (zenon_L333_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H6 ]. % 0.71/0.89 exact (zenon_Hf6 zenon_Hf7). % 0.71/0.89 exact (zenon_H5 zenon_H6). % 0.71/0.89 (* end of lemma zenon_L341_ *) % 0.71/0.89 assert (zenon_L342_ : (forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52)))))) -> (ndr1_0) -> (~(c3_1 (a102))) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (c1_1 (a102)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1c7 zenon_Ha zenon_H1bd zenon_Hd2 zenon_H1be. % 0.71/0.89 generalize (zenon_H1c7 (a102)). zenon_intro zenon_H1c8. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_H9 | zenon_intro zenon_H1c9 ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1ca ]. % 0.71/0.89 exact (zenon_H1bd zenon_H1c3). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1c5 ]. % 0.71/0.89 generalize (zenon_Hd2 (a102)). zenon_intro zenon_H28b. % 0.71/0.89 apply (zenon_imply_s _ _ zenon_H28b); [ zenon_intro zenon_H9 | zenon_intro zenon_H28c ]. % 0.71/0.89 exact (zenon_H9 zenon_Ha). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H1ce | zenon_intro zenon_H28d ]. % 0.71/0.89 exact (zenon_H1cb zenon_H1ce). % 0.71/0.89 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_H1c3 | zenon_intro zenon_H1c5 ]. % 0.71/0.89 exact (zenon_H1bd zenon_H1c3). % 0.71/0.89 exact (zenon_H1c5 zenon_H1be). % 0.71/0.89 exact (zenon_H1c5 zenon_H1be). % 0.71/0.89 (* end of lemma zenon_L342_ *) % 0.71/0.89 assert (zenon_L343_ : ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (c1_1 (a102)) -> (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1cf zenon_H149 zenon_H148 zenon_H147 zenon_H1be zenon_Hd2 zenon_H1bd zenon_Ha zenon_H55. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H146 | zenon_intro zenon_H1d0 ]. % 0.71/0.89 apply (zenon_L85_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H56 ]. % 0.71/0.89 apply (zenon_L342_); trivial. % 0.71/0.89 exact (zenon_H55 zenon_H56). % 0.71/0.89 (* end of lemma zenon_L343_ *) % 0.71/0.89 assert (zenon_L344_ : ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp16)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c0_1 (a115)) -> (~(c3_1 (a115))) -> (~(c2_1 (a115))) -> (ndr1_0) -> (~(hskp9)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H1a4 zenon_H55 zenon_H1bd zenon_H1be zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_He zenon_Hd zenon_Hc zenon_Ha zenon_Hf4. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1a5 ]. % 0.71/0.89 apply (zenon_L343_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf5 ]. % 0.71/0.89 apply (zenon_L6_); trivial. % 0.71/0.89 exact (zenon_Hf4 zenon_Hf5). % 0.71/0.89 (* end of lemma zenon_L344_ *) % 0.71/0.89 assert (zenon_L345_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> False). % 0.71/0.89 do 0 intro. intros zenon_He8 zenon_Hea zenon_H16e zenon_H17 zenon_H1bf zenon_H1cf zenon_H1be zenon_H1bd zenon_H149 zenon_H148 zenon_H147 zenon_Hf4 zenon_H1a4. % 0.71/0.89 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L344_); trivial. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 (* end of lemma zenon_L345_ *) % 0.71/0.89 assert (zenon_L346_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (~(hskp9)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H16e zenon_H17 zenon_H1bf zenon_H1cf zenon_H1be zenon_H1bd zenon_Hf4 zenon_H1a4 zenon_H21 zenon_H1a6. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L111_); trivial. % 0.71/0.89 apply (zenon_L345_); trivial. % 0.71/0.89 (* end of lemma zenon_L346_ *) % 0.71/0.89 assert (zenon_L347_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hea zenon_H16e zenon_H17 zenon_H1bf zenon_H1be zenon_H1bd zenon_H289 zenon_H1 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_H205. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L336_); trivial. % 0.71/0.89 apply (zenon_L124_); trivial. % 0.71/0.89 (* end of lemma zenon_L347_ *) % 0.71/0.89 assert (zenon_L348_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H175 zenon_H129 zenon_H72 zenon_H6f zenon_Ha6 zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_Hea zenon_H16e zenon_H17 zenon_H1bf zenon_H1be zenon_H1bd zenon_H289 zenon_H1cf zenon_H205 zenon_H19 zenon_Hf3 zenon_H177. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.89 apply (zenon_L325_); trivial. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.89 apply (zenon_L347_); trivial. % 0.71/0.89 apply (zenon_L66_); trivial. % 0.71/0.89 apply (zenon_L72_); trivial. % 0.71/0.89 (* end of lemma zenon_L348_ *) % 0.71/0.89 assert (zenon_L349_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(hskp16)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a127)) -> (~(c3_1 (a127))) -> (c0_1 (a127)) -> False). % 0.71/0.89 do 0 intro. intros zenon_H4e zenon_Hb6 zenon_H55 zenon_H1bd zenon_H1be zenon_H1bf zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_H1b8 zenon_H169 zenon_H160 zenon_H161. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.71/0.89 apply (zenon_L129_); trivial. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.71/0.89 apply (zenon_L17_); trivial. % 0.71/0.89 apply (zenon_L256_); trivial. % 0.71/0.89 (* end of lemma zenon_L349_ *) % 0.71/0.89 assert (zenon_L350_ : ((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H170 zenon_H48 zenon_Hb6 zenon_H1b8 zenon_H147 zenon_H148 zenon_H149 zenon_H1bd zenon_H1be zenon_H1bf zenon_H55 zenon_H1cf zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.89 apply (zenon_L14_); trivial. % 0.71/0.89 apply (zenon_L349_); trivial. % 0.71/0.89 (* end of lemma zenon_L350_ *) % 0.71/0.89 assert (zenon_L351_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(hskp16)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H176 zenon_H48 zenon_Hb6 zenon_H1b8 zenon_H147 zenon_H148 zenon_H149 zenon_H1bd zenon_H1be zenon_H1bf zenon_H55 zenon_H1cf zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H17 zenon_H15a. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.89 apply (zenon_L332_); trivial. % 0.71/0.89 apply (zenon_L350_); trivial. % 0.71/0.89 (* end of lemma zenon_L351_ *) % 0.71/0.89 assert (zenon_L352_ : ((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> (~(c2_1 (a118))) -> (~(c3_1 (a118))) -> (c1_1 (a118)) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> False). % 0.71/0.89 do 0 intro. intros zenon_H170 zenon_H1b8 zenon_H134 zenon_H135 zenon_H132 zenon_Hc7 zenon_Hd3 zenon_Hc8 zenon_H17 zenon_H16e. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.89 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.71/0.89 apply (zenon_L97_); trivial. % 0.71/0.89 apply (zenon_L116_); trivial. % 0.71/0.89 (* end of lemma zenon_L352_ *) % 0.71/0.89 assert (zenon_L353_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hf0 zenon_H176 zenon_H1b8 zenon_H134 zenon_H135 zenon_H132 zenon_H16e zenon_H26f zenon_H270 zenon_H271 zenon_H17 zenon_H15a. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.89 apply (zenon_L332_); trivial. % 0.71/0.89 apply (zenon_L352_); trivial. % 0.71/0.89 (* end of lemma zenon_L353_ *) % 0.71/0.89 assert (zenon_L354_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(hskp15)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hea zenon_H48 zenon_He6 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H43 zenon_H1d4 zenon_H21 zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_Hc zenon_Hd zenon_He zenon_H270 zenon_H271 zenon_H150 zenon_H27e zenon_H57 zenon_H187 zenon_H5 zenon_H1bb zenon_Hc5. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L331_); trivial. % 0.71/0.89 apply (zenon_L162_); trivial. % 0.71/0.89 (* end of lemma zenon_L354_ *) % 0.71/0.89 assert (zenon_L355_ : ((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hed zenon_Hea zenon_H48 zenon_Hb9 zenon_He6 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H21 zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_Hc zenon_Hd zenon_He zenon_H270 zenon_H271 zenon_H150 zenon_H27e zenon_H57 zenon_H187 zenon_H5 zenon_H1bb zenon_Hc5. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L331_); trivial. % 0.71/0.89 apply (zenon_L171_); trivial. % 0.71/0.89 (* end of lemma zenon_L355_ *) % 0.71/0.89 assert (zenon_L356_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> False). % 0.71/0.89 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_He6 zenon_H206 zenon_H45 zenon_Ha0 zenon_H11f zenon_H115 zenon_H114 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_Hc zenon_He zenon_H6f zenon_H72 zenon_Hb9. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.89 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.89 apply (zenon_L314_); trivial. % 0.71/0.89 apply (zenon_L203_); trivial. % 0.71/0.89 (* end of lemma zenon_L356_ *) % 0.71/0.89 assert (zenon_L357_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> False). % 0.71/0.89 do 0 intro. intros zenon_He8 zenon_Hea zenon_H48 zenon_He6 zenon_H206 zenon_H45 zenon_Ha0 zenon_H11f zenon_H115 zenon_H114 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9 zenon_H147 zenon_H148 zenon_H149 zenon_H150 zenon_H152. % 0.71/0.89 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.89 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.89 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.89 apply (zenon_L87_); trivial. % 0.71/0.89 apply (zenon_L356_); trivial. % 0.71/0.89 (* end of lemma zenon_L357_ *) % 0.71/0.89 assert (zenon_L358_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hea zenon_H48 zenon_H1d4 zenon_H206 zenon_H45 zenon_He6 zenon_Hfb zenon_Hfc zenon_Hfd zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H11f zenon_H115 zenon_H114 zenon_H111 zenon_H213 zenon_Hb9 zenon_H289 zenon_H1 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_H205. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L336_); trivial. % 0.71/0.90 apply (zenon_L204_); trivial. % 0.71/0.90 (* end of lemma zenon_L358_ *) % 0.71/0.90 assert (zenon_L359_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H175 zenon_H1c6 zenon_H205 zenon_H1cf zenon_H289 zenon_H213 zenon_H111 zenon_H177 zenon_Hf3 zenon_Hea zenon_H48 zenon_He6 zenon_H206 zenon_H45 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9 zenon_H150 zenon_H152 zenon_H12a zenon_H26f zenon_H270 zenon_H271 zenon_H143 zenon_Ha6 zenon_H129. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L74_); trivial. % 0.71/0.90 apply (zenon_L357_); trivial. % 0.71/0.90 apply (zenon_L72_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L358_); trivial. % 0.71/0.90 apply (zenon_L357_); trivial. % 0.71/0.90 (* end of lemma zenon_L359_ *) % 0.71/0.90 assert (zenon_L360_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_He9 zenon_Hb9 zenon_H72 zenon_H6f zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc5 zenon_H1bb zenon_H5 zenon_H57 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_H1d4 zenon_H4a zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_He6 zenon_H48 zenon_Hea zenon_H21 zenon_H1a6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_L209_); trivial. % 0.71/0.90 (* end of lemma zenon_L360_ *) % 0.71/0.90 assert (zenon_L361_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_Hfd zenon_Hfc zenon_Hfb zenon_H205 zenon_H1cf zenon_H23 zenon_H1ea zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H4a zenon_H1f8 zenon_H48 zenon_H1d4 zenon_He6 zenon_Hea zenon_H21 zenon_H1a6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_L228_); trivial. % 0.71/0.90 apply (zenon_L63_); trivial. % 0.71/0.90 (* end of lemma zenon_L361_ *) % 0.71/0.90 assert (zenon_L362_ : ((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c2_1 (a115))) -> (c0_1 (a115)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1f5 zenon_H1d4 zenon_Hc zenon_He zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_H115 zenon_H11f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.71/0.90 apply (zenon_L151_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.71/0.90 apply (zenon_L140_); trivial. % 0.71/0.90 apply (zenon_L69_); trivial. % 0.71/0.90 (* end of lemma zenon_L362_ *) % 0.71/0.90 assert (zenon_L363_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (ndr1_0) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c0_1 (a115)) -> (~(c2_1 (a115))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H205 zenon_H1cf zenon_H55 zenon_H149 zenon_H148 zenon_H147 zenon_H1ea zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha zenon_Ha0 zenon_He zenon_Hc zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_H115 zenon_H11f zenon_H1d4 zenon_H1f8. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.71/0.90 apply (zenon_L225_); trivial. % 0.71/0.90 apply (zenon_L362_); trivial. % 0.71/0.90 apply (zenon_L227_); trivial. % 0.71/0.90 (* end of lemma zenon_L363_ *) % 0.71/0.90 assert (zenon_L364_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> (~(hskp12)) -> (~(hskp11)) -> ((hskp14)\/((hskp12)\/(hskp11))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H48 zenon_He6 zenon_H206 zenon_H45 zenon_H6f zenon_H72 zenon_Hb9 zenon_H1f8 zenon_H1d4 zenon_H11f zenon_H115 zenon_H114 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1ea zenon_H1cf zenon_H205 zenon_H15 zenon_H79 zenon_H12a. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L74_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L363_); trivial. % 0.71/0.90 apply (zenon_L356_); trivial. % 0.71/0.90 (* end of lemma zenon_L364_ *) % 0.71/0.90 assert (zenon_L365_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))) -> (~(c2_1 (a106))) -> (ndr1_0) -> (c0_1 (a142)) -> (c1_1 (a142)) -> (c3_1 (a142)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H11f zenon_H115 zenon_H10e zenon_H114 zenon_Ha zenon_H1ec zenon_H1ed zenon_H1ee. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.71/0.90 apply (zenon_L140_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.71/0.90 apply (zenon_L78_); trivial. % 0.71/0.90 apply (zenon_L150_); trivial. % 0.71/0.90 (* end of lemma zenon_L365_ *) % 0.71/0.90 assert (zenon_L366_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(c0_1 (a109))) -> (~(c3_1 (a109))) -> (c2_1 (a109)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (~(hskp16)) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H205 zenon_H1ea zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha zenon_Hfb zenon_Hfc zenon_Hfd zenon_H1cf zenon_H55 zenon_H149 zenon_H148 zenon_H147 zenon_Ha0 zenon_H11f zenon_H115 zenon_H114 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H111 zenon_H1f8. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.71/0.90 apply (zenon_L225_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.71/0.90 apply (zenon_L59_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.71/0.90 apply (zenon_L129_); trivial. % 0.71/0.90 apply (zenon_L365_); trivial. % 0.71/0.90 apply (zenon_L227_); trivial. % 0.71/0.90 (* end of lemma zenon_L366_ *) % 0.71/0.90 assert (zenon_L367_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_He8 zenon_Hea zenon_H48 zenon_He6 zenon_H206 zenon_H45 zenon_H1d4 zenon_H6f zenon_H72 zenon_Hb9 zenon_H1f8 zenon_H111 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_H114 zenon_H115 zenon_H11f zenon_Ha0 zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_Hfd zenon_Hfc zenon_Hfb zenon_H1bd zenon_H1be zenon_H1bf zenon_H1ea zenon_H205. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L366_); trivial. % 0.71/0.90 apply (zenon_L356_); trivial. % 0.71/0.90 (* end of lemma zenon_L367_ *) % 0.71/0.90 assert (zenon_L368_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp20)\/((hskp29)\/(hskp0))) -> (~(hskp0)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((hskp14)\/((hskp12)\/(hskp11))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H175 zenon_H1c6 zenon_H289 zenon_H213 zenon_H111 zenon_H177 zenon_Hf3 zenon_Hea zenon_H48 zenon_He6 zenon_H206 zenon_H45 zenon_H6f zenon_H72 zenon_Hb9 zenon_H1f8 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1ea zenon_H1cf zenon_H205 zenon_H12a zenon_H26f zenon_H270 zenon_H271 zenon_H143 zenon_Ha6 zenon_H129. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_L364_); trivial. % 0.71/0.90 apply (zenon_L72_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L358_); trivial. % 0.71/0.90 apply (zenon_L367_); trivial. % 0.71/0.90 (* end of lemma zenon_L368_ *) % 0.71/0.90 assert (zenon_L369_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp10)) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp8)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp7)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H21 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H150 zenon_H270 zenon_H271 zenon_Hc zenon_Hd zenon_He zenon_H27e zenon_H6f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.71/0.90 apply (zenon_L235_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.71/0.90 apply (zenon_L328_); trivial. % 0.71/0.90 exact (zenon_H6f zenon_H70). % 0.71/0.90 (* end of lemma zenon_L369_ *) % 0.71/0.90 assert (zenon_L370_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H177 zenon_Hf3 zenon_Hea zenon_H72 zenon_H6f zenon_H27e zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H150 zenon_H152 zenon_H21 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L87_); trivial. % 0.71/0.90 apply (zenon_L369_); trivial. % 0.71/0.90 (* end of lemma zenon_L370_ *) % 0.71/0.90 assert (zenon_L371_ : ((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H170 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Hb6 zenon_H1b8 zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.90 apply (zenon_L14_); trivial. % 0.71/0.90 apply (zenon_L259_); trivial. % 0.71/0.90 (* end of lemma zenon_L371_ *) % 0.71/0.90 assert (zenon_L372_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H176 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Hb6 zenon_H1b8 zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H79 zenon_H7b zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H17 zenon_H15a. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.71/0.90 apply (zenon_L332_); trivial. % 0.71/0.90 apply (zenon_L371_); trivial. % 0.71/0.90 (* end of lemma zenon_L372_ *) % 0.71/0.90 assert (zenon_L373_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp5)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1c6 zenon_H10c zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H1a6 zenon_H21 zenon_H176 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Hb6 zenon_H1b8 zenon_Ha4 zenon_Ha0 zenon_Ha6 zenon_H7b zenon_Hbb zenon_H57 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_H17 zenon_H15a zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_Hea zenon_Hf3 zenon_H177. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L372_); trivial. % 0.71/0.90 apply (zenon_L278_); trivial. % 0.71/0.90 apply (zenon_L238_); trivial. % 0.71/0.90 (* end of lemma zenon_L373_ *) % 0.71/0.90 assert (zenon_L374_ : (forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50)))))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1b3 zenon_Ha zenon_H26f zenon_H65 zenon_H270 zenon_H271. % 0.71/0.90 generalize (zenon_H1b3 (a97)). zenon_intro zenon_H281. % 0.71/0.90 apply (zenon_imply_s _ _ zenon_H281); [ zenon_intro zenon_H9 | zenon_intro zenon_H282 ]. % 0.71/0.90 exact (zenon_H9 zenon_Ha). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H282); [ zenon_intro zenon_H275 | zenon_intro zenon_H283 ]. % 0.71/0.90 exact (zenon_H26f zenon_H275). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H283); [ zenon_intro zenon_H278 | zenon_intro zenon_H277 ]. % 0.71/0.90 apply (zenon_L326_); trivial. % 0.71/0.90 exact (zenon_H277 zenon_H270). % 0.71/0.90 (* end of lemma zenon_L374_ *) % 0.71/0.90 assert (zenon_L375_ : ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (~(c1_1 (a97))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> (ndr1_0) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1b8 zenon_H271 zenon_H270 zenon_H65 zenon_H26f zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_Ha. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1b8); [ zenon_intro zenon_H131 | zenon_intro zenon_H1b3 ]. % 0.71/0.90 apply (zenon_L114_); trivial. % 0.71/0.90 apply (zenon_L374_); trivial. % 0.71/0.90 (* end of lemma zenon_L375_ *) % 0.71/0.90 assert (zenon_L376_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c1_1 (a103))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H175 zenon_H1b1 zenon_Ha6 zenon_H26f zenon_H270 zenon_H271 zenon_H1b8 zenon_H1a8 zenon_H1a9 zenon_H1aa. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H154 | zenon_intro zenon_H1b2 ]. % 0.71/0.90 apply (zenon_L91_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H65 | zenon_intro zenon_H131 ]. % 0.71/0.90 apply (zenon_L375_); trivial. % 0.71/0.90 apply (zenon_L114_); trivial. % 0.71/0.90 (* end of lemma zenon_L376_ *) % 0.71/0.90 assert (zenon_L377_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp8)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (c0_1 (a103)) -> (~(c3_1 (a103))) -> (~(c1_1 (a103))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H21e zenon_H177 zenon_Hf3 zenon_Hea zenon_H1a4 zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H150 zenon_H152 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143 zenon_Ha6 zenon_H1b8 zenon_H1aa zenon_H1a9 zenon_H1a8 zenon_H1b1 zenon_H21f. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_L270_); trivial. % 0.71/0.90 apply (zenon_L376_); trivial. % 0.71/0.90 apply (zenon_L117_); trivial. % 0.71/0.90 (* end of lemma zenon_L377_ *) % 0.71/0.90 assert (zenon_L378_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp14)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H205 zenon_H22d zenon_H21 zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H1 zenon_H289. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.71/0.90 apply (zenon_L335_); trivial. % 0.71/0.90 apply (zenon_L253_); trivial. % 0.71/0.90 (* end of lemma zenon_L378_ *) % 0.71/0.90 assert (zenon_L379_ : ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20)))))) -> (~(c3_1 (a102))) -> (ndr1_0) -> (~(hskp10)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_H1bf zenon_H1be zenon_H90 zenon_H1bd zenon_Ha zenon_H21. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22e ]. % 0.71/0.90 apply (zenon_L234_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H22 ]. % 0.71/0.90 apply (zenon_L128_); trivial. % 0.71/0.90 exact (zenon_H21 zenon_H22). % 0.71/0.90 (* end of lemma zenon_L379_ *) % 0.71/0.90 assert (zenon_L380_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp10)) -> (ndr1_0) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp26)) -> (~(hskp11)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha4 zenon_H21 zenon_Ha zenon_H1bd zenon_H1be zenon_H1bf zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_Ha2 zenon_H79. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha4); [ zenon_intro zenon_H90 | zenon_intro zenon_Ha5 ]. % 0.71/0.90 apply (zenon_L379_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_Ha3 | zenon_intro zenon_H7a ]. % 0.71/0.90 exact (zenon_Ha2 zenon_Ha3). % 0.71/0.90 exact (zenon_H79 zenon_H7a). % 0.71/0.90 (* end of lemma zenon_L380_ *) % 0.71/0.90 assert (zenon_L381_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1c6 zenon_H10c zenon_H205 zenon_H22d zenon_H21 zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H289 zenon_H23 zenon_Ha4 zenon_H1bd zenon_H1be zenon_H1bf zenon_Hb6 zenon_Hbb zenon_H48 zenon_Hf3. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L378_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.90 apply (zenon_L14_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.71/0.90 apply (zenon_L380_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hb6); [ zenon_intro zenon_H90 | zenon_intro zenon_Hb7 ]. % 0.71/0.90 apply (zenon_L379_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hb7); [ zenon_intro zenon_H39 | zenon_intro zenon_Hac ]. % 0.71/0.90 apply (zenon_L17_); trivial. % 0.71/0.90 apply (zenon_L42_); trivial. % 0.71/0.90 apply (zenon_L238_); trivial. % 0.71/0.90 (* end of lemma zenon_L381_ *) % 0.71/0.90 assert (zenon_L382_ : ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H21f zenon_H129 zenon_H72 zenon_H6f zenon_Ha6 zenon_H143 zenon_Hea zenon_H16e zenon_H17 zenon_H1cf zenon_H19 zenon_H177 zenon_Hf3 zenon_H48 zenon_Hbb zenon_Hb6 zenon_H1bf zenon_H1be zenon_H1bd zenon_Ha4 zenon_H23 zenon_H289 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H205 zenon_H10c zenon_H1c6. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L381_); trivial. % 0.71/0.90 apply (zenon_L348_); trivial. % 0.71/0.90 (* end of lemma zenon_L382_ *) % 0.71/0.90 assert (zenon_L383_ : ((~(hskp6))\/((ndr1_0)/\((c1_1 (a102))/\((c2_1 (a102))/\(~(c3_1 (a102))))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (~(hskp5)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H28e zenon_H28f zenon_H23 zenon_H76 zenon_H189 zenon_H57 zenon_Hbb zenon_H7b zenon_Ha0 zenon_Ha4 zenon_H1b8 zenon_Hb6 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H10c zenon_H1c6 zenon_H177 zenon_Hf3 zenon_Hea zenon_H72 zenon_H27e zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H152 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143 zenon_H19 zenon_H205 zenon_H1cf zenon_H289 zenon_H15a zenon_H17 zenon_Ha6 zenon_H144 zenon_H16e zenon_H171 zenon_H176 zenon_H129 zenon_H21f zenon_H21e zenon_H1a4 zenon_H1b1 zenon_H25b. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L370_); trivial. % 0.71/0.90 apply (zenon_L337_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L373_); trivial. % 0.71/0.90 apply (zenon_L104_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.71/0.90 apply (zenon_L377_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L373_); trivial. % 0.71/0.90 apply (zenon_L376_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.71/0.90 apply (zenon_L382_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L381_); trivial. % 0.71/0.90 apply (zenon_L376_); trivial. % 0.71/0.90 (* end of lemma zenon_L383_ *) % 0.71/0.90 assert (zenon_L384_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1c6 zenon_H10c zenon_H205 zenon_H22d zenon_H21 zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H289 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_H23 zenon_Hea zenon_Hf3. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L378_); trivial. % 0.71/0.90 apply (zenon_L279_); trivial. % 0.71/0.90 apply (zenon_L238_); trivial. % 0.71/0.90 (* end of lemma zenon_L384_ *) % 0.71/0.90 assert (zenon_L385_ : ((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H21d zenon_H21f zenon_Ha6 zenon_Hf3 zenon_Hea zenon_H23 zenon_H76 zenon_H189 zenon_H187 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H289 zenon_H271 zenon_H270 zenon_H26f zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H205 zenon_H10c zenon_H1c6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L384_); trivial. % 0.71/0.90 apply (zenon_L104_); trivial. % 0.71/0.90 (* end of lemma zenon_L385_ *) % 0.71/0.90 assert (zenon_L386_ : ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (ndr1_0) -> (forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9)))))) -> (~(c2_1 (a106))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> False). % 0.71/0.90 do 0 intro. intros zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha zenon_H154 zenon_H114 zenon_H11f zenon_H115. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha0); [ zenon_intro zenon_H8c | zenon_intro zenon_Ha1 ]. % 0.71/0.90 apply (zenon_L140_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Ha1); [ zenon_intro zenon_H30 | zenon_intro zenon_H91 ]. % 0.71/0.90 apply (zenon_L89_); trivial. % 0.71/0.90 apply (zenon_L90_); trivial. % 0.71/0.90 (* end of lemma zenon_L386_ *) % 0.71/0.90 assert (zenon_L387_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> (~(c1_1 (a103))) -> (~(c3_1 (a103))) -> (c0_1 (a103)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H175 zenon_H1b1 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H26f zenon_H270 zenon_H271 zenon_H1b8 zenon_H1a8 zenon_H1a9 zenon_H1aa. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1b1); [ zenon_intro zenon_H154 | zenon_intro zenon_H1b2 ]. % 0.71/0.90 apply (zenon_L386_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1b2); [ zenon_intro zenon_H65 | zenon_intro zenon_H131 ]. % 0.71/0.90 apply (zenon_L375_); trivial. % 0.71/0.90 apply (zenon_L114_); trivial. % 0.71/0.90 (* end of lemma zenon_L387_ *) % 0.71/0.90 assert (zenon_L388_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp16)\/(hskp8))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H257 zenon_H28f zenon_H23 zenon_H76 zenon_H189 zenon_H187 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H289 zenon_H205 zenon_H10c zenon_H1c6 zenon_H21f zenon_H1b1 zenon_H1b8 zenon_Ha6 zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_H1a6 zenon_H152 zenon_H22d zenon_H226 zenon_H225 zenon_H224 zenon_H1a4 zenon_Hea zenon_Hf3 zenon_H177 zenon_H21e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.71/0.90 apply (zenon_L377_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L384_); trivial. % 0.71/0.90 apply (zenon_L387_); trivial. % 0.71/0.90 (* end of lemma zenon_L388_ *) % 0.71/0.90 assert (zenon_L389_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H257 zenon_H21e zenon_Hf3 zenon_H1a4 zenon_H1bd zenon_H1be zenon_H289 zenon_H271 zenon_H270 zenon_H26f zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H205 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1b8 zenon_H1b1 zenon_H21f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L378_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_Hd2 | zenon_intro zenon_H1a5 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H104 | zenon_intro zenon_H22e ]. % 0.71/0.90 apply (zenon_L234_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H1c7 | zenon_intro zenon_H22 ]. % 0.71/0.90 apply (zenon_L342_); trivial. % 0.71/0.90 exact (zenon_H21 zenon_H22). % 0.71/0.90 apply (zenon_or_s _ _ zenon_H1a5); [ zenon_intro zenon_Hb | zenon_intro zenon_Hf5 ]. % 0.71/0.90 apply (zenon_L6_); trivial. % 0.71/0.90 exact (zenon_Hf4 zenon_Hf5). % 0.71/0.90 apply (zenon_L387_); trivial. % 0.71/0.90 apply (zenon_L117_); trivial. % 0.71/0.90 (* end of lemma zenon_L389_ *) % 0.71/0.90 assert (zenon_L390_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_H1a4 zenon_Hf4 zenon_H260 zenon_H25f zenon_H25e zenon_H21 zenon_H1a6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_L305_); trivial. % 0.71/0.90 (* end of lemma zenon_L390_ *) % 0.71/0.90 assert (zenon_L391_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H177 zenon_Hf3 zenon_H1a4 zenon_Hf4 zenon_H260 zenon_H25f zenon_H25e zenon_H21 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_L390_); trivial. % 0.71/0.90 (* end of lemma zenon_L391_ *) % 0.71/0.90 assert (zenon_L392_ : ((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105)))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (~(hskp5)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H1b7 zenon_H21f zenon_H129 zenon_H171 zenon_H144 zenon_Ha6 zenon_H289 zenon_H1cf zenon_H205 zenon_H19 zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_H1a6 zenon_Hc5 zenon_H1bb zenon_H5 zenon_H187 zenon_H57 zenon_H27e zenon_H150 zenon_H6f zenon_H72 zenon_H76 zenon_H15a zenon_H17 zenon_H16e zenon_H1b8 zenon_H176 zenon_Hea zenon_Hf3 zenon_H177. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L331_); trivial. % 0.71/0.90 apply (zenon_L353_); trivial. % 0.71/0.90 apply (zenon_L337_); trivial. % 0.71/0.90 (* end of lemma zenon_L392_ *) % 0.71/0.90 assert (zenon_L393_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (c2_1 (a105)) -> (c0_1 (a105)) -> (~(c1_1 (a105))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H177 zenon_Hf3 zenon_Hea zenon_H134 zenon_H135 zenon_H132 zenon_H16e zenon_H15a zenon_H17 zenon_H23 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_Hbb zenon_H7b zenon_H79 zenon_Ha6 zenon_Ha0 zenon_Ha4 zenon_H1b8 zenon_Hb6 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H176 zenon_H21 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L372_); trivial. % 0.71/0.90 apply (zenon_L353_); trivial. % 0.71/0.90 (* end of lemma zenon_L393_ *) % 0.71/0.90 assert (zenon_L394_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_Hfd zenon_Hfc zenon_Hfb zenon_H23 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48 zenon_H21 zenon_H1a6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_L296_); trivial. % 0.71/0.90 (* end of lemma zenon_L394_ *) % 0.71/0.90 assert (zenon_L395_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H12c zenon_H177 zenon_Hf3 zenon_He9 zenon_H111 zenon_H10c zenon_H23 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48 zenon_H21 zenon_H1a6 zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_L394_); trivial. % 0.71/0.90 (* end of lemma zenon_L395_ *) % 0.71/0.90 assert (zenon_L396_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H257 zenon_H21e zenon_H177 zenon_Hf3 zenon_H1a4 zenon_H260 zenon_H25f zenon_H25e zenon_H1a6 zenon_H26f zenon_H270 zenon_H271 zenon_H143 zenon_Ha6 zenon_H1b8 zenon_H1b1 zenon_H21f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.71/0.90 apply (zenon_L391_); trivial. % 0.71/0.90 apply (zenon_L376_); trivial. % 0.71/0.90 apply (zenon_L117_); trivial. % 0.71/0.90 (* end of lemma zenon_L396_ *) % 0.71/0.90 assert (zenon_L397_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_Hea zenon_H16e zenon_H17 zenon_H23 zenon_Ha4 zenon_H79 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1cf zenon_Hb6 zenon_Hbb zenon_H48 zenon_H21 zenon_H1a6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L138_); trivial. % 0.71/0.90 apply (zenon_L124_); trivial. % 0.71/0.90 (* end of lemma zenon_L397_ *) % 0.71/0.90 assert (zenon_L398_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H177 zenon_Hf3 zenon_Hea zenon_H16e zenon_H17 zenon_H23 zenon_Ha4 zenon_H79 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1cf zenon_Hb6 zenon_Hbb zenon_H48 zenon_H21 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_L397_); trivial. % 0.71/0.90 (* end of lemma zenon_L398_ *) % 0.71/0.90 assert (zenon_L399_ : ((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> (~(hskp5)) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H257 zenon_H21e zenon_H1b8 zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_Hea zenon_H16e zenon_H17 zenon_H1bf zenon_H1be zenon_H1bd zenon_H289 zenon_H1cf zenon_H205 zenon_H25e zenon_H25f zenon_H260 zenon_H1a4 zenon_Hf3 zenon_H177. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.71/0.90 apply (zenon_L325_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L347_); trivial. % 0.71/0.90 apply (zenon_L305_); trivial. % 0.71/0.90 apply (zenon_L117_); trivial. % 0.71/0.90 (* end of lemma zenon_L399_ *) % 0.71/0.90 assert (zenon_L400_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/(forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c2_1 (a106))) -> (c1_1 (a106)) -> (c3_1 (a106)) -> False). % 0.71/0.90 do 0 intro. intros zenon_H12c zenon_H213 zenon_H25e zenon_H25f zenon_H260 zenon_He6 zenon_H111 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H114 zenon_H115 zenon_H11f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H20a | zenon_intro zenon_H214 ]. % 0.71/0.90 apply (zenon_L321_); trivial. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H10e | zenon_intro zenon_H104 ]. % 0.71/0.90 apply (zenon_L199_); trivial. % 0.71/0.90 apply (zenon_L202_); trivial. % 0.71/0.90 (* end of lemma zenon_L400_ *) % 0.71/0.90 assert (zenon_L401_ : ((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112)))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp15))\/((ndr1_0)/\((c1_1 (a116))/\((c3_1 (a116))/\(~(c0_1 (a116))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(hskp15))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H17a zenon_Hf3 zenon_He9 zenon_Hea zenon_H72 zenon_H6f zenon_H1d4 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_Ha4 zenon_Hb9 zenon_Hc5 zenon_H23 zenon_H25e zenon_H25f zenon_H260 zenon_H4a zenon_Ha0 zenon_He6 zenon_H48 zenon_H21 zenon_H1a6. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L111_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.71/0.90 apply (zenon_L285_); trivial. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L219_); trivial. % 0.71/0.90 apply (zenon_L311_); trivial. % 0.71/0.90 (* end of lemma zenon_L401_ *) % 0.71/0.90 assert (zenon_L402_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf3 zenon_H19 zenon_H17 zenon_H15 zenon_H289 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H224 zenon_H225 zenon_H226 zenon_H21 zenon_H22d zenon_H205. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L378_); trivial. % 0.71/0.90 apply (zenon_L66_); trivial. % 0.71/0.90 (* end of lemma zenon_L402_ *) % 0.71/0.90 assert (zenon_L403_ : ((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H4e zenon_Hc5 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_Hb9 zenon_He6 zenon_Ha0 zenon_Ha4 zenon_H260 zenon_H25f zenon_H25e zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.71/0.90 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.71/0.90 apply (zenon_L119_); trivial. % 0.71/0.90 apply (zenon_L286_); trivial. % 0.71/0.90 (* end of lemma zenon_L403_ *) % 0.71/0.90 assert (zenon_L404_ : ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (c3_1 (a110)) -> (c2_1 (a110)) -> (~(c0_1 (a110))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp16)) -> (~(c0_1 (a104))) -> (~(c2_1 (a104))) -> (~(c3_1 (a104))) -> (~(hskp6)) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (ndr1_0) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.71/0.90 do 0 intro. intros zenon_H48 zenon_Hc5 zenon_H72 zenon_H6f zenon_H68 zenon_H67 zenon_H66 zenon_Hb9 zenon_He6 zenon_Ha0 zenon_Ha4 zenon_H260 zenon_H25f zenon_H25e zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H55 zenon_H17e zenon_H17f zenon_H180 zenon_H187 zenon_H189 zenon_H76 zenon_Ha zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.71/0.90 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.71/0.90 apply (zenon_L14_); trivial. % 0.71/0.90 apply (zenon_L403_); trivial. % 0.71/0.90 (* end of lemma zenon_L404_ *) % 0.71/0.90 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(hskp11)) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_He8 zenon_Hea zenon_H224 zenon_H225 zenon_H226 zenon_H22d zenon_H23 zenon_H21 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H79 zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_Hb9 zenon_H66 zenon_H67 zenon_H68 zenon_H6f zenon_H72 zenon_Hc5 zenon_H48. % 0.71/0.90 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.71/0.90 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.71/0.90 apply (zenon_L404_); trivial. % 0.71/0.90 apply (zenon_L278_); trivial. % 0.71/0.90 (* end of lemma zenon_L405_ *) % 0.71/0.90 assert (zenon_L406_ : ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> (~(hskp9)) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> (~(hskp10)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.71/0.90 do 0 intro. intros zenon_Hf3 zenon_H1a4 zenon_Hf4 zenon_H260 zenon_H25f zenon_H25e zenon_H289 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H224 zenon_H225 zenon_H226 zenon_H21 zenon_H22d zenon_H205. % 0.71/0.90 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.71/0.90 apply (zenon_L378_); trivial. % 0.71/0.90 apply (zenon_L305_); trivial. % 0.71/0.90 (* end of lemma zenon_L406_ *) % 0.71/0.90 assert (zenon_L407_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(hskp10)) -> (c2_1 (a99)) -> (~(c3_1 (a99))) -> (~(c1_1 (a99))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H1c6 zenon_H10c zenon_H205 zenon_H22d zenon_H21 zenon_H226 zenon_H225 zenon_H224 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H289 zenon_H48 zenon_Hc5 zenon_Hb9 zenon_Ha4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H57 zenon_H27e zenon_H150 zenon_H6f zenon_H72 zenon_H76 zenon_H23 zenon_Hea zenon_Hf3. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L378_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.76/0.91 apply (zenon_L330_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.76/0.91 apply (zenon_L176_); trivial. % 0.76/0.91 apply (zenon_L329_); trivial. % 0.76/0.91 apply (zenon_L369_); trivial. % 0.76/0.91 apply (zenon_L238_); trivial. % 0.76/0.91 (* end of lemma zenon_L407_ *) % 0.76/0.91 assert (zenon_L408_ : ((ndr1_0)/\((c2_1 (a99))/\((~(c1_1 (a99)))/\(~(c3_1 (a99)))))) -> ((~(hskp5))\/((ndr1_0)/\((c3_1 (a101))/\((~(c1_1 (a101)))/\(~(c2_1 (a101))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> ((~(hskp7))\/((ndr1_0)/\((c0_1 (a103))/\((~(c1_1 (a103)))/\(~(c3_1 (a103))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a105))/\((c2_1 (a105))/\(~(c1_1 (a105))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> ((forall X9 : zenon_U, ((ndr1_0)->((c0_1 X9)\/((c2_1 X9)\/(~(c3_1 X9))))))\/((forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13))))))\/(hskp8))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24))))))\/((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/(hskp5))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp10))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp12)\/(hskp5))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W))))))\/(hskp10))) -> ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> ((~(hskp8))\/((ndr1_0)/\((~(c0_1 (a104)))/\((~(c2_1 (a104)))/\(~(c3_1 (a104))))))) -> ((~(hskp6))\/((ndr1_0)/\((c1_1 (a102))/\((c2_1 (a102))/\(~(c3_1 (a102))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H290 zenon_H291 zenon_H213 zenon_H25b zenon_H21e zenon_H1a4 zenon_H1b8 zenon_H1b1 zenon_H21f zenon_H143 zenon_H176 zenon_H171 zenon_H16e zenon_H144 zenon_Ha6 zenon_H15a zenon_H1cf zenon_H177 zenon_H129 zenon_Hea zenon_H27e zenon_H23 zenon_H76 zenon_H72 zenon_H57 zenon_Hbb zenon_Hb6 zenon_H7b zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_Hb9 zenon_Hc5 zenon_H48 zenon_H205 zenon_H22d zenon_H26f zenon_H270 zenon_H271 zenon_H289 zenon_H19 zenon_Hf3 zenon_H10c zenon_H1c6 zenon_H189 zenon_H28f zenon_H28e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H292. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H226. zenon_intro zenon_H293. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L402_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L378_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L288_); trivial. % 0.76/0.91 apply (zenon_L369_); trivial. % 0.76/0.91 apply (zenon_L238_); trivial. % 0.76/0.91 apply (zenon_L337_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L402_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L378_); trivial. % 0.76/0.91 apply (zenon_L405_); trivial. % 0.76/0.91 apply (zenon_L238_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L406_); trivial. % 0.76/0.91 apply (zenon_L376_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_L382_); trivial. % 0.76/0.91 apply (zenon_L399_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L407_); trivial. % 0.76/0.91 apply (zenon_L322_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L384_); trivial. % 0.76/0.91 apply (zenon_L322_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L406_); trivial. % 0.76/0.91 apply (zenon_L387_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L381_); trivial. % 0.76/0.91 apply (zenon_L322_); trivial. % 0.76/0.91 (* end of lemma zenon_L408_ *) % 0.76/0.91 assert (zenon_L409_ : (forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23))))) -> (ndr1_0) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H294 zenon_Ha zenon_H295 zenon_H296 zenon_H297. % 0.76/0.91 generalize (zenon_H294 (a96)). zenon_intro zenon_H298. % 0.76/0.91 apply (zenon_imply_s _ _ zenon_H298); [ zenon_intro zenon_H9 | zenon_intro zenon_H299 ]. % 0.76/0.91 exact (zenon_H9 zenon_Ha). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H299); [ zenon_intro zenon_H29b | zenon_intro zenon_H29a ]. % 0.76/0.91 exact (zenon_H295 zenon_H29b). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H29a); [ zenon_intro zenon_H29d | zenon_intro zenon_H29c ]. % 0.76/0.91 exact (zenon_H296 zenon_H29d). % 0.76/0.91 exact (zenon_H297 zenon_H29c). % 0.76/0.91 (* end of lemma zenon_L409_ *) % 0.76/0.91 assert (zenon_L410_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hf0 zenon_H29e zenon_Hfd zenon_Hfc zenon_Hfb zenon_H297 zenon_H296 zenon_H295. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H29e); [ zenon_intro zenon_Hfa | zenon_intro zenon_H29f ]. % 0.76/0.91 apply (zenon_L59_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H29f); [ zenon_intro zenon_H294 | zenon_intro zenon_H15c ]. % 0.76/0.91 apply (zenon_L409_); trivial. % 0.76/0.91 apply (zenon_L94_); trivial. % 0.76/0.91 (* end of lemma zenon_L410_ *) % 0.76/0.91 assert (zenon_L411_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X5 : zenon_U, ((ndr1_0)->((c0_1 X5)\/((c2_1 X5)\/(c3_1 X5)))))\/((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a104))) -> (~(c2_1 (a104))) -> (~(c0_1 (a104))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H12c zenon_Hea zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H76 zenon_H189 zenon_H187 zenon_H180 zenon_H17f zenon_H17e zenon_H57 zenon_H5 zenon_H1bb zenon_Hc5. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L121_); trivial. % 0.76/0.91 apply (zenon_L410_); trivial. % 0.76/0.91 (* end of lemma zenon_L411_ *) % 0.76/0.91 assert (zenon_L412_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp19)\/(hskp5))) -> (~(hskp5)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(forall X50 : zenon_U, ((ndr1_0)->((c1_1 X50)\/((~(c0_1 X50))\/(~(c2_1 X50))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a127))/\((c2_1 (a127))/\(~(c3_1 (a127))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H12c zenon_H177 zenon_Hf3 zenon_Hea zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_H15a zenon_H17 zenon_H23 zenon_H1cf zenon_H1bf zenon_H1be zenon_H1bd zenon_H1b8 zenon_Hb6 zenon_H48 zenon_H176 zenon_H21 zenon_H1a6 zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L351_); trivial. % 0.76/0.91 apply (zenon_L410_); trivial. % 0.76/0.91 (* end of lemma zenon_L412_ *) % 0.76/0.91 assert (zenon_L413_ : ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8)))))) -> (ndr1_0) -> (~(hskp3)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H2a0 zenon_H297 zenon_H296 zenon_H295 zenon_H271 zenon_H270 zenon_H65 zenon_Ha zenon_H5. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2a0); [ zenon_intro zenon_H294 | zenon_intro zenon_H2a1 ]. % 0.76/0.91 apply (zenon_L409_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_Ha8 | zenon_intro zenon_H6 ]. % 0.76/0.91 apply (zenon_L327_); trivial. % 0.76/0.91 exact (zenon_H5 zenon_H6). % 0.76/0.91 (* end of lemma zenon_L413_ *) % 0.76/0.91 assert (zenon_L414_ : ((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> (c0_1 (a133)) -> (~(c2_1 (a133))) -> (c3_1 (a133)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hbe zenon_Hb9 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H270 zenon_H271 zenon_H5 zenon_H2a0 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Hc7 zenon_Hc8 zenon_H3b zenon_H3a zenon_H3c zenon_Ha0 zenon_Hb6 zenon_H53 zenon_H79 zenon_H7b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.76/0.91 apply (zenon_L31_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.76/0.91 apply (zenon_L168_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.76/0.91 apply (zenon_L413_); trivial. % 0.76/0.91 exact (zenon_H6f zenon_H70). % 0.76/0.91 (* end of lemma zenon_L414_ *) % 0.76/0.91 assert (zenon_L415_ : ((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp3)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp7)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H71 zenon_H72 zenon_H5 zenon_H270 zenon_H271 zenon_H295 zenon_H296 zenon_H297 zenon_H2a0 zenon_H6f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H71). zenon_intro zenon_Ha. zenon_intro zenon_H73. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H73). zenon_intro zenon_H5e. zenon_intro zenon_H74. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H74). zenon_intro zenon_H5c. zenon_intro zenon_H5d. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.76/0.91 apply (zenon_L24_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.76/0.91 apply (zenon_L413_); trivial. % 0.76/0.91 exact (zenon_H6f zenon_H70). % 0.76/0.91 (* end of lemma zenon_L415_ *) % 0.76/0.91 assert (zenon_L416_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c1_1 X39)\/((c2_1 X39)\/(~(c0_1 X39))))))\/((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H270 zenon_H271 zenon_H5 zenon_H2a0 zenon_H1d4 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_Ha4 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.76/0.91 apply (zenon_L31_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.76/0.91 apply (zenon_L166_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.76/0.91 apply (zenon_L413_); trivial. % 0.76/0.91 exact (zenon_H6f zenon_H70). % 0.76/0.91 apply (zenon_L414_); trivial. % 0.76/0.91 apply (zenon_L415_); trivial. % 0.76/0.91 (* end of lemma zenon_L416_ *) % 0.76/0.91 assert (zenon_L417_ : ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> (c2_1 (a109)) -> (~(c3_1 (a109))) -> (~(c0_1 (a109))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (~(hskp14)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> (~(c1_1 (a112))) -> (c0_1 (a112)) -> (c3_1 (a112)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hea zenon_H29e zenon_H297 zenon_H296 zenon_H295 zenon_Hfd zenon_Hfc zenon_Hfb zenon_H289 zenon_H1 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H147 zenon_H148 zenon_H149 zenon_H1cf zenon_H205. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L336_); trivial. % 0.76/0.91 apply (zenon_L410_); trivial. % 0.76/0.91 (* end of lemma zenon_L417_ *) % 0.76/0.91 assert (zenon_L418_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H12c zenon_H177 zenon_Hf3 zenon_H76 zenon_H72 zenon_H6f zenon_H150 zenon_H27e zenon_H57 zenon_H187 zenon_H5 zenon_H1bb zenon_Hc5 zenon_H205 zenon_H1cf zenon_H289 zenon_H295 zenon_H296 zenon_H297 zenon_H29e zenon_Hea zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L417_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L331_); trivial. % 0.76/0.91 apply (zenon_L410_); trivial. % 0.76/0.91 (* end of lemma zenon_L418_ *) % 0.76/0.91 assert (zenon_L419_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (c3_1 (a106)) -> (c1_1 (a106)) -> (~(c2_1 (a106))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(hskp3)) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp7)) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hf0 zenon_H72 zenon_H11f zenon_H115 zenon_H114 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H5 zenon_H270 zenon_H271 zenon_H295 zenon_H296 zenon_H297 zenon_H2a0 zenon_H6f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.76/0.91 apply (zenon_L313_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.76/0.91 apply (zenon_L413_); trivial. % 0.76/0.91 exact (zenon_H6f zenon_H70). % 0.76/0.91 (* end of lemma zenon_L419_ *) % 0.76/0.91 assert (zenon_L420_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> (~(hskp8)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H175 zenon_H177 zenon_Hf3 zenon_H76 zenon_H150 zenon_H27e zenon_H57 zenon_H187 zenon_H1bb zenon_Hc5 zenon_H205 zenon_H1cf zenon_H289 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H2a0 zenon_H5 zenon_H297 zenon_H296 zenon_H295 zenon_H6f zenon_H72 zenon_Hea zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L336_); trivial. % 0.76/0.91 apply (zenon_L419_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L331_); trivial. % 0.76/0.91 apply (zenon_L419_); trivial. % 0.76/0.91 (* end of lemma zenon_L420_ *) % 0.76/0.91 assert (zenon_L421_ : ((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> (~(hskp18)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hb8 zenon_H1f8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1e4 zenon_H1ea. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hb8). zenon_intro zenon_Ha. zenon_intro zenon_Hbc. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbc). zenon_intro zenon_H7e. zenon_intro zenon_Hbd. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbd). zenon_intro zenon_H7f. zenon_intro zenon_H7d. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.76/0.91 apply (zenon_L225_); trivial. % 0.76/0.91 apply (zenon_L194_); trivial. % 0.76/0.91 (* end of lemma zenon_L421_ *) % 0.76/0.91 assert (zenon_L422_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> (c3_1 (a112)) -> (c0_1 (a112)) -> (~(c1_1 (a112))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp16)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> (c2_1 (a102)) -> (c1_1 (a102)) -> (~(c3_1 (a102))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H205 zenon_H1cf zenon_H149 zenon_H148 zenon_H147 zenon_H76 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H270 zenon_H271 zenon_H5 zenon_H2a0 zenon_H55 zenon_H57 zenon_H1ea zenon_H1bf zenon_H1be zenon_H1bd zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H1f8 zenon_Hc5. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hc5); [ zenon_intro zenon_H58 | zenon_intro zenon_Hb8 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.76/0.91 apply (zenon_L23_); trivial. % 0.76/0.91 apply (zenon_L415_); trivial. % 0.76/0.91 apply (zenon_L421_); trivial. % 0.76/0.91 apply (zenon_L227_); trivial. % 0.76/0.91 (* end of lemma zenon_L422_ *) % 0.76/0.91 assert (zenon_L423_ : ((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H12c zenon_H177 zenon_Hea zenon_H29e zenon_Hc5 zenon_H1f8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1ea zenon_H57 zenon_H2a0 zenon_H5 zenon_H297 zenon_H296 zenon_H295 zenon_H6f zenon_H72 zenon_H76 zenon_H1cf zenon_H205 zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L422_); trivial. % 0.76/0.91 apply (zenon_L410_); trivial. % 0.76/0.91 (* end of lemma zenon_L423_ *) % 0.76/0.91 assert (zenon_L424_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a142))/\((c1_1 (a142))/\(c3_1 (a142)))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (c3_1 (a101)) -> (~(c2_1 (a101))) -> (~(c1_1 (a101))) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X68 : zenon_U, ((ndr1_0)->((c3_1 X68)\/((~(c1_1 X68))\/(~(c2_1 X68))))))\/((hskp28)\/(hskp18))) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H175 zenon_H177 zenon_Hea zenon_Hc5 zenon_H1f8 zenon_Ha0 zenon_H1d8 zenon_H1d7 zenon_H1d6 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1ea zenon_H57 zenon_H2a0 zenon_H5 zenon_H297 zenon_H296 zenon_H295 zenon_H6f zenon_H72 zenon_H76 zenon_H1cf zenon_H205 zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L422_); trivial. % 0.76/0.91 apply (zenon_L419_); trivial. % 0.76/0.91 (* end of lemma zenon_L424_ *) % 0.76/0.91 assert (zenon_L425_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11)))))) -> (~(c1_1 (a96))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H20a zenon_Ha zenon_H131 zenon_H295 zenon_H297 zenon_H296. % 0.76/0.91 generalize (zenon_H20a (a96)). zenon_intro zenon_H2a2. % 0.76/0.91 apply (zenon_imply_s _ _ zenon_H2a2); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a3 ]. % 0.76/0.91 exact (zenon_H9 zenon_Ha). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2a3); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a4 ]. % 0.76/0.91 generalize (zenon_H131 (a96)). zenon_intro zenon_H2a6. % 0.76/0.91 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_H9 | zenon_intro zenon_H2a7 ]. % 0.76/0.91 exact (zenon_H9 zenon_Ha). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H29b | zenon_intro zenon_H2a8 ]. % 0.76/0.91 exact (zenon_H295 zenon_H29b). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2a8); [ zenon_intro zenon_H29c | zenon_intro zenon_H2a9 ]. % 0.76/0.91 exact (zenon_H297 zenon_H29c). % 0.76/0.91 exact (zenon_H2a9 zenon_H2a5). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2a4); [ zenon_intro zenon_H29b | zenon_intro zenon_H29d ]. % 0.76/0.91 exact (zenon_H295 zenon_H29b). % 0.76/0.91 exact (zenon_H296 zenon_H29d). % 0.76/0.91 (* end of lemma zenon_L425_ *) % 0.76/0.91 assert (zenon_L426_ : ((ndr1_0)/\((c1_1 (a106))/\((c3_1 (a106))/\(~(c2_1 (a106)))))) -> ((~(hskp12))\/((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/((forall X11 : zenon_U, ((ndr1_0)->((c1_1 X11)\/((c3_1 X11)\/(~(c0_1 X11))))))\/(hskp12))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (~(c1_1 (a96))) -> (~(c1_1 (a101))) -> (~(c2_1 (a101))) -> (c3_1 (a101)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> (~(c1_1 (a99))) -> (~(c3_1 (a99))) -> (c2_1 (a99)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((~(c1_1 V))\/(~(c3_1 V))))))\/(forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c3_1 W)\/(~(c2_1 W)))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H175 zenon_H129 zenon_H72 zenon_H6f zenon_H144 zenon_H296 zenon_H297 zenon_H295 zenon_H1d6 zenon_H1d7 zenon_H1d8 zenon_Ha0 zenon_H224 zenon_H225 zenon_H226 zenon_H213. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H213); [ zenon_intro zenon_H20a | zenon_intro zenon_H214 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H144); [ zenon_intro zenon_H10e | zenon_intro zenon_H145 ]. % 0.76/0.91 apply (zenon_L199_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H145); [ zenon_intro zenon_H131 | zenon_intro zenon_H16 ]. % 0.76/0.91 apply (zenon_L425_); trivial. % 0.76/0.91 exact (zenon_H15 zenon_H16). % 0.76/0.91 apply (zenon_or_s _ _ zenon_H214); [ zenon_intro zenon_H10e | zenon_intro zenon_H104 ]. % 0.76/0.91 apply (zenon_L199_); trivial. % 0.76/0.91 apply (zenon_L234_); trivial. % 0.76/0.91 apply (zenon_L206_); trivial. % 0.76/0.91 (* end of lemma zenon_L426_ *) % 0.76/0.91 assert (zenon_L427_ : ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> (~(c2_1 (a133))) -> (c0_1 (a133)) -> (c3_1 (a133)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp26)) -> (~(c2_1 (a118))) -> (c1_1 (a118)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp24)) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hb9 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H270 zenon_H271 zenon_H5 zenon_H2a0 zenon_H25e zenon_H25f zenon_H260 zenon_H3a zenon_H3b zenon_H3c zenon_Ha4 zenon_Ha2 zenon_Hc7 zenon_Hc8 zenon_Ha0 zenon_He6 zenon_H53 zenon_H79 zenon_H7b. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.76/0.91 apply (zenon_L31_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.76/0.91 apply (zenon_L290_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.76/0.91 apply (zenon_L413_); trivial. % 0.76/0.91 exact (zenon_H6f zenon_H70). % 0.76/0.91 (* end of lemma zenon_L427_ *) % 0.76/0.91 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H270 zenon_H271 zenon_H5 zenon_H2a0 zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.76/0.91 apply (zenon_L427_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbe). zenon_intro zenon_Ha. zenon_intro zenon_Hc3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc3). zenon_intro zenon_Had. zenon_intro zenon_Hc4. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc4). zenon_intro zenon_Hae. zenon_intro zenon_Haf. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_H77 | zenon_intro zenon_Hbf ]. % 0.76/0.91 apply (zenon_L31_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hbf). zenon_intro zenon_Ha. zenon_intro zenon_Hc0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc0). zenon_intro zenon_H92. zenon_intro zenon_Hc1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hc1). zenon_intro zenon_H94. zenon_intro zenon_H93. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5b | zenon_intro zenon_H75 ]. % 0.76/0.91 apply (zenon_L292_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H75); [ zenon_intro zenon_H65 | zenon_intro zenon_H70 ]. % 0.76/0.91 apply (zenon_L413_); trivial. % 0.76/0.91 exact (zenon_H6f zenon_H70). % 0.76/0.91 apply (zenon_L415_); trivial. % 0.76/0.91 (* end of lemma zenon_L428_ *) % 0.76/0.91 assert (zenon_L429_ : ((~(hskp11))\/((ndr1_0)/\((c2_1 (a109))/\((~(c0_1 (a109)))/\(~(c3_1 (a109))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125))))))) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/((hskp18)\/(hskp14))) -> ((forall X19 : zenon_U, ((ndr1_0)->((c0_1 X19)\/((c3_1 X19)\/(~(c2_1 X19))))))\/((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/(forall X24 : zenon_U, ((ndr1_0)->((c2_1 X24)\/((c3_1 X24)\/(~(c1_1 X24)))))))) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> (c3_1 (a97)) -> (c2_1 (a97)) -> (~(c1_1 (a97))) -> (ndr1_0) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(hskp10)) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp8))) -> (~(hskp8)) -> (~(hskp7)) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (c1_1 (a98)) -> (~(c3_1 (a98))) -> (~(c0_1 (a98))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c3_1 (a96))) -> (~(c2_1 (a96))) -> (~(c1_1 (a96))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> False). % 0.76/0.91 do 0 intro. intros zenon_H1c6 zenon_H205 zenon_H1cf zenon_H289 zenon_H29e zenon_H143 zenon_H271 zenon_H270 zenon_H26f zenon_Ha zenon_H1a6 zenon_H21 zenon_Hc5 zenon_H1bb zenon_H5 zenon_H187 zenon_H57 zenon_H27e zenon_H150 zenon_H6f zenon_H72 zenon_H76 zenon_H23 zenon_Hbb zenon_Hb6 zenon_H7b zenon_He6 zenon_Ha0 zenon_Ha4 zenon_H260 zenon_H25f zenon_H25e zenon_H2a0 zenon_H297 zenon_H296 zenon_H295 zenon_Hb9 zenon_H48 zenon_Hea zenon_Hf3 zenon_H177. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L331_); trivial. % 0.76/0.91 apply (zenon_L428_); trivial. % 0.76/0.91 apply (zenon_L418_); trivial. % 0.76/0.91 (* end of lemma zenon_L429_ *) % 0.76/0.91 assert (zenon_L430_ : ((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> (~(c0_1 (a110))) -> (c2_1 (a110)) -> (c3_1 (a110)) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> (~(c2_1 (a115))) -> (~(c3_1 (a115))) -> (c0_1 (a115)) -> (~(hskp10)) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> False). % 0.76/0.91 do 0 intro. intros zenon_Hf0 zenon_H48 zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H270 zenon_H271 zenon_H5 zenon_H2a0 zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_H79 zenon_H7b zenon_Hb6 zenon_H66 zenon_H67 zenon_H68 zenon_Hbb zenon_Hc zenon_Hd zenon_He zenon_H21 zenon_H23. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf0). zenon_intro zenon_Ha. zenon_intro zenon_Hf1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf1). zenon_intro zenon_Hc8. zenon_intro zenon_Hf2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hf2). zenon_intro zenon_Hc7. zenon_intro zenon_Hd3. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H76); [ zenon_intro zenon_H53 | zenon_intro zenon_H71 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hbb); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Hbe ]. % 0.76/0.91 apply (zenon_L427_); trivial. % 0.76/0.91 apply (zenon_L294_); trivial. % 0.76/0.91 apply (zenon_L415_); trivial. % 0.76/0.91 (* end of lemma zenon_L430_ *) % 0.76/0.91 assert (zenon_L431_ : ((ndr1_0)/\((c2_1 (a110))/\((c3_1 (a110))/\(~(c0_1 (a110)))))) -> ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> (~(hskp11)) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> ((hskp23)\/((hskp24)\/(hskp16))) -> (~(hskp6)) -> (~(hskp3)) -> ((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/((hskp6)\/(hskp3))) -> ((~(hskp23))\/((ndr1_0)/\((c0_1 (a152))/\((c1_1 (a152))/\(~(c2_1 (a152))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H126 zenon_H177 zenon_Hf3 zenon_Hea zenon_H48 zenon_Hb9 zenon_H295 zenon_H296 zenon_H297 zenon_H2a0 zenon_H25e zenon_H25f zenon_H260 zenon_Ha4 zenon_Ha0 zenon_He6 zenon_H79 zenon_H7b zenon_Hb6 zenon_Hbb zenon_H23 zenon_H76 zenon_H72 zenon_H6f zenon_H57 zenon_H187 zenon_H5 zenon_H1bb zenon_Hc5 zenon_H21 zenon_H1a6 zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L340_); trivial. % 0.76/0.91 apply (zenon_L430_); trivial. % 0.76/0.91 (* end of lemma zenon_L431_ *) % 0.76/0.91 assert (zenon_L432_ : ((~(hskp13))\/((ndr1_0)/\((c0_1 (a112))/\((c3_1 (a112))/\(~(c1_1 (a112))))))) -> ((~(hskp14))\/((ndr1_0)/\((c0_1 (a115))/\((~(c2_1 (a115)))/\(~(c3_1 (a115))))))) -> ((~(hskp16))\/((ndr1_0)/\((c1_1 (a118))/\((~(c2_1 (a118)))/\(~(c3_1 (a118))))))) -> ((~(hskp24))\/((ndr1_0)/\((c1_1 (a153))/\((~(c0_1 (a153)))/\(~(c2_1 (a153))))))) -> ((~(hskp29))\/((ndr1_0)/\((c1_1 (a165))/\((c2_1 (a165))/\(c3_1 (a165)))))) -> ((forall X6 : zenon_U, ((ndr1_0)->((c0_1 X6)\/((c2_1 X6)\/(~(c1_1 X6))))))\/((forall X8 : zenon_U, ((ndr1_0)->((c0_1 X8)\/((~(c2_1 X8))\/(~(c3_1 X8))))))\/(hskp7))) -> (~(hskp7)) -> (~(c1_1 (a96))) -> (~(c2_1 (a96))) -> (~(c3_1 (a96))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c1_1 X23)\/((c2_1 X23)\/(c3_1 X23)))))\/((forall X2 : zenon_U, ((ndr1_0)->((~(c0_1 X2))\/((~(c2_1 X2))\/(~(c3_1 X2))))))\/(hskp3))) -> (~(c0_1 (a98))) -> (~(c3_1 (a98))) -> (c1_1 (a98)) -> ((forall X40 : zenon_U, ((ndr1_0)->((c1_1 X40)\/((c2_1 X40)\/(~(c3_1 X40))))))\/((forall Z : zenon_U, ((ndr1_0)->((c2_1 Z)\/((~(c0_1 Z))\/(~(c1_1 Z))))))\/(forall X13 : zenon_U, ((ndr1_0)->((~(c0_1 X13))\/((~(c1_1 X13))\/(~(c3_1 X13)))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c3_1 X14)\/(~(c1_1 X14))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X18 : zenon_U, ((ndr1_0)->((c2_1 X18)\/((~(c1_1 X18))\/(~(c3_1 X18)))))))) -> ((hskp29)\/((hskp24)\/(hskp11))) -> ((forall X15 : zenon_U, ((ndr1_0)->((c2_1 X15)\/((c3_1 X15)\/(~(c0_1 X15))))))\/((hskp20)\/(hskp10))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((hskp26)\/(hskp11))) -> (~(hskp11)) -> (~(c3_1 (a102))) -> (c1_1 (a102)) -> (c2_1 (a102)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((forall X52 : zenon_U, ((ndr1_0)->((c3_1 X52)\/((~(c0_1 X52))\/(~(c1_1 X52))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((~(c1_1 X20))\/(~(c2_1 X20))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c2_1 X17)\/((~(c0_1 X17))\/(~(c3_1 X17))))))\/(forall X29 : zenon_U, ((ndr1_0)->((~(c0_1 X29))\/((~(c1_1 X29))\/(~(c2_1 X29)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c0_1 (a94))/\((c1_1 (a94))/\(c2_1 (a94)))))) -> ((~(hskp20))\/((ndr1_0)/\((c0_1 (a133))/\((c3_1 (a133))/\(~(c2_1 (a133))))))) -> (~(hskp10)) -> ((forall X53 : zenon_U, ((ndr1_0)->((c1_1 X53)\/((~(c0_1 X53))\/(~(c3_1 X53))))))\/((hskp14)\/(hskp10))) -> (ndr1_0) -> (~(c1_1 (a97))) -> (c2_1 (a97)) -> (c3_1 (a97)) -> ((forall X57 : zenon_U, ((ndr1_0)->((c1_1 X57)\/((~(c2_1 X57))\/(~(c3_1 X57))))))\/(hskp13)) -> False). % 0.76/0.91 do 0 intro. intros zenon_H177 zenon_Hf3 zenon_Hea zenon_H76 zenon_Hb9 zenon_H72 zenon_H6f zenon_H295 zenon_H296 zenon_H297 zenon_H5 zenon_H2a0 zenon_H25e zenon_H25f zenon_H260 zenon_Ha0 zenon_He6 zenon_H7b zenon_H23 zenon_Ha4 zenon_H79 zenon_H1bd zenon_H1be zenon_H1bf zenon_H1cf zenon_Hb6 zenon_Hbb zenon_H48 zenon_H21 zenon_H1a6 zenon_Ha zenon_H26f zenon_H270 zenon_H271 zenon_H143. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L138_); trivial. % 0.76/0.91 apply (zenon_L428_); trivial. % 0.76/0.91 (* end of lemma zenon_L432_ *) % 0.76/0.91 apply NNPP. intro zenon_G. % 0.76/0.91 apply zenon_G. zenon_intro zenon_H2aa. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2aa). zenon_intro zenon_H2ac. zenon_intro zenon_H2ab. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ab). zenon_intro zenon_H2ae. zenon_intro zenon_H2ad. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ad). zenon_intro zenon_H2b0. zenon_intro zenon_H2af. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2af). zenon_intro zenon_H2b2. zenon_intro zenon_H2b1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b1). zenon_intro zenon_H2b4. zenon_intro zenon_H2b3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b3). zenon_intro zenon_H291. zenon_intro zenon_H2b5. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b5). zenon_intro zenon_H28e. zenon_intro zenon_H2b6. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_H25b. zenon_intro zenon_H2b7. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H28f. zenon_intro zenon_H2b8. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H21e. zenon_intro zenon_H2b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2b9). zenon_intro zenon_H21f. zenon_intro zenon_H2ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ba). zenon_intro zenon_H1c6. zenon_intro zenon_H2bb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H129. zenon_intro zenon_H2bc. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H177. zenon_intro zenon_H2bd. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2bd). zenon_intro zenon_Hf3. zenon_intro zenon_H2be. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_He9. zenon_intro zenon_H2bf. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2bf). zenon_intro zenon_Hea. zenon_intro zenon_H2c0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H47. zenon_intro zenon_H2c1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c1). zenon_intro zenon_H205. zenon_intro zenon_H2c2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H176. zenon_intro zenon_H2c3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c3). zenon_intro zenon_H48. zenon_intro zenon_H2c4. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H250. zenon_intro zenon_H2c5. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c5). zenon_intro zenon_H21c. zenon_intro zenon_H2c6. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_Hc5. zenon_intro zenon_H2c7. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c7). zenon_intro zenon_H76. zenon_intro zenon_H2c8. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H2ca. zenon_intro zenon_H2c9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_Hbb. zenon_intro zenon_H2cb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H2cd. zenon_intro zenon_H2cc. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H1f8. zenon_intro zenon_H2ce. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_Hb9. zenon_intro zenon_H2cf. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H213. zenon_intro zenon_H2d0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_H2d2. zenon_intro zenon_H2d1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_H49. zenon_intro zenon_H2d3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H26b. zenon_intro zenon_H2d4. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_H287. zenon_intro zenon_H2d5. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H2d7. zenon_intro zenon_H2d6. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H189. zenon_intro zenon_H2d8. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H72. zenon_intro zenon_H2d9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_H1b1. zenon_intro zenon_H2da. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2da). zenon_intro zenon_H171. zenon_intro zenon_H2db. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H1a4. zenon_intro zenon_H2dc. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_He6. zenon_intro zenon_H2dd. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H111. zenon_intro zenon_H2de. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H29e. zenon_intro zenon_H2df. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H10c. zenon_intro zenon_H2e0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_Hb6. zenon_intro zenon_H2e1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_Hba. zenon_intro zenon_H2e2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e2). zenon_intro zenon_Ha4. zenon_intro zenon_H2e3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_H144. zenon_intro zenon_H2e4. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H2a0. zenon_intro zenon_H2e5. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H2e7. zenon_intro zenon_H2e6. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e9. zenon_intro zenon_H2e8. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2e8). zenon_intro zenon_H1d4. zenon_intro zenon_H2ea. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ea). zenon_intro zenon_H2ec. zenon_intro zenon_H2eb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H4a. zenon_intro zenon_H2ed. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_Ha0. zenon_intro zenon_H2ee. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ee). zenon_intro zenon_H1b8. zenon_intro zenon_H2ef. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H22d. zenon_intro zenon_H2f0. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H1cf. zenon_intro zenon_H2f1. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H1a6. zenon_intro zenon_H2f2. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H152. zenon_intro zenon_H2f3. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H2f5. zenon_intro zenon_H2f4. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H289. zenon_intro zenon_H2f6. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H15a. zenon_intro zenon_H2f7. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H143. zenon_intro zenon_H2f8. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H2fa. zenon_intro zenon_H2f9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_H27e. zenon_intro zenon_H2fb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H23. zenon_intro zenon_H2fc. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H19. zenon_intro zenon_H2fd. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_H1d. zenon_intro zenon_H2fe. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H16e. zenon_intro zenon_H2ff. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_Ha6. zenon_intro zenon_H300. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H1bb. zenon_intro zenon_H301. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H1ea. zenon_intro zenon_H302. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H304. zenon_intro zenon_H303. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H306. zenon_intro zenon_H305. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H18c. zenon_intro zenon_H307. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H309. zenon_intro zenon_H308. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H57. zenon_intro zenon_H30a. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H1e6. zenon_intro zenon_H30b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30d. zenon_intro zenon_H30c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H30c). zenon_intro zenon_Hf8. zenon_intro zenon_H30e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H30e). zenon_intro zenon_H206. zenon_intro zenon_H30f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H311. zenon_intro zenon_H310. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H233. zenon_intro zenon_H312. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H12a. zenon_intro zenon_H313. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H7. zenon_intro zenon_H314. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H7b. zenon_intro zenon_H315. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2ac); [ zenon_intro zenon_H45 | zenon_intro zenon_H316 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H3 | zenon_intro zenon_H317 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H318 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H5 | zenon_intro zenon_H290 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L4_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_L9_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_L55_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_L65_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_L73_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_L55_); trivial. % 0.76/0.91 apply (zenon_L76_); trivial. % 0.76/0.91 apply (zenon_L99_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L4_); trivial. % 0.76/0.91 apply (zenon_L103_); trivial. % 0.76/0.91 apply (zenon_L76_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L58_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.76/0.91 apply (zenon_L11_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18b | zenon_intro zenon_H218 ]. % 0.76/0.91 apply (zenon_L105_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H197. zenon_intro zenon_H21a. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21b. zenon_intro zenon_H196. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.76/0.91 apply (zenon_L15_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.76/0.91 apply (zenon_L16_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.76/0.91 apply (zenon_L107_); trivial. % 0.76/0.91 apply (zenon_L109_); trivial. % 0.76/0.91 exact (zenon_H45 zenon_H46). % 0.76/0.91 apply (zenon_L110_); trivial. % 0.76/0.91 apply (zenon_L113_); trivial. % 0.76/0.91 apply (zenon_L76_); trivial. % 0.76/0.91 apply (zenon_L115_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L4_); trivial. % 0.76/0.91 apply (zenon_L122_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L125_); trivial. % 0.76/0.91 apply (zenon_L126_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L125_); trivial. % 0.76/0.91 apply (zenon_L131_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L58_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_L20_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.76/0.91 apply (zenon_L11_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18b | zenon_intro zenon_H218 ]. % 0.76/0.91 apply (zenon_L105_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H197. zenon_intro zenon_H21a. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21b. zenon_intro zenon_H196. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H49); [ zenon_intro zenon_H25 | zenon_intro zenon_H51 ]. % 0.76/0.91 apply (zenon_L15_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H51); [ zenon_intro zenon_H30 | zenon_intro zenon_H46 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H111); [ zenon_intro zenon_Hfa | zenon_intro zenon_H112 ]. % 0.76/0.91 apply (zenon_L133_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H90 | zenon_intro zenon_H10e ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.76/0.91 apply (zenon_L16_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.76/0.91 apply (zenon_L107_); trivial. % 0.76/0.91 apply (zenon_L134_); trivial. % 0.76/0.91 apply (zenon_L62_); trivial. % 0.76/0.91 exact (zenon_H45 zenon_H46). % 0.76/0.91 apply (zenon_L124_); trivial. % 0.76/0.91 apply (zenon_L139_); trivial. % 0.76/0.91 apply (zenon_L76_); trivial. % 0.76/0.91 apply (zenon_L115_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L159_); trivial. % 0.76/0.91 apply (zenon_L172_); trivial. % 0.76/0.91 apply (zenon_L181_); trivial. % 0.76/0.91 apply (zenon_L182_); trivial. % 0.76/0.91 apply (zenon_L192_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L196_); trivial. % 0.76/0.91 apply (zenon_L172_); trivial. % 0.76/0.91 apply (zenon_L181_); trivial. % 0.76/0.91 apply (zenon_L76_); trivial. % 0.76/0.91 apply (zenon_L207_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L210_); trivial. % 0.76/0.91 apply (zenon_L181_); trivial. % 0.76/0.91 apply (zenon_L211_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L213_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L58_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H47); [ zenon_intro zenon_H1b | zenon_intro zenon_H4b ]. % 0.76/0.91 apply (zenon_L11_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4b). zenon_intro zenon_Ha. zenon_intro zenon_H4c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4c). zenon_intro zenon_H26. zenon_intro zenon_H4d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4d). zenon_intro zenon_H27. zenon_intro zenon_H28. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.76/0.91 apply (zenon_L146_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L14_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4e). zenon_intro zenon_Ha. zenon_intro zenon_H4f. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H4f). zenon_intro zenon_H3b. zenon_intro zenon_H50. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H50). zenon_intro zenon_H3c. zenon_intro zenon_H3a. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21c); [ zenon_intro zenon_H18b | zenon_intro zenon_H218 ]. % 0.76/0.91 apply (zenon_L105_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H218). zenon_intro zenon_Ha. zenon_intro zenon_H219. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H219). zenon_intro zenon_H197. zenon_intro zenon_H21a. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21a). zenon_intro zenon_H21b. zenon_intro zenon_H196. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1f8); [ zenon_intro zenon_H1e8 | zenon_intro zenon_H1f5 ]. % 0.76/0.91 apply (zenon_L214_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1f5). zenon_intro zenon_Ha. zenon_intro zenon_H1f6. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1f6). zenon_intro zenon_H1ec. zenon_intro zenon_H1f7. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1f7). zenon_intro zenon_H1ed. zenon_intro zenon_H1ee. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_H2f | zenon_intro zenon_H1d5 ]. % 0.76/0.91 apply (zenon_L151_); trivial. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1d5); [ zenon_intro zenon_H8c | zenon_intro zenon_H86 ]. % 0.76/0.91 apply (zenon_L107_); trivial. % 0.76/0.91 apply (zenon_L109_); trivial. % 0.76/0.91 apply (zenon_L216_); trivial. % 0.76/0.91 apply (zenon_L110_); trivial. % 0.76/0.91 apply (zenon_L113_); trivial. % 0.76/0.91 apply (zenon_L115_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_L221_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L159_); trivial. % 0.76/0.91 apply (zenon_L139_); trivial. % 0.76/0.91 apply (zenon_L224_); trivial. % 0.76/0.91 apply (zenon_L182_); trivial. % 0.76/0.91 apply (zenon_L192_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L196_); trivial. % 0.76/0.91 apply (zenon_L229_); trivial. % 0.76/0.91 apply (zenon_L181_); trivial. % 0.76/0.91 apply (zenon_L76_); trivial. % 0.76/0.91 apply (zenon_L233_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_Ha. zenon_intro zenon_H258. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H258). zenon_intro zenon_H1aa. zenon_intro zenon_H259. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H259). zenon_intro zenon_H1a8. zenon_intro zenon_H1a9. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L213_); trivial. % 0.76/0.91 apply (zenon_L224_); trivial. % 0.76/0.91 apply (zenon_L211_); trivial. % 0.76/0.91 apply (zenon_L115_); trivial. % 0.76/0.91 apply (zenon_L117_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H292. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H226. zenon_intro zenon_H293. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_L239_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H202 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H158 | zenon_intro zenon_H170 ]. % 0.76/0.91 apply (zenon_L146_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H170). zenon_intro zenon_Ha. zenon_intro zenon_H172. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H172). zenon_intro zenon_H161. zenon_intro zenon_H173. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H173). zenon_intro zenon_H169. zenon_intro zenon_H160. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L252_); trivial. % 0.76/0.91 apply (zenon_L46_); trivial. % 0.76/0.91 apply (zenon_L253_); trivial. % 0.76/0.91 apply (zenon_L236_); trivial. % 0.76/0.91 apply (zenon_L237_); trivial. % 0.76/0.91 apply (zenon_L254_); trivial. % 0.76/0.91 apply (zenon_L238_); trivial. % 0.76/0.91 apply (zenon_L99_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_L239_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L260_); trivial. % 0.76/0.91 apply (zenon_L237_); trivial. % 0.76/0.91 apply (zenon_L254_); trivial. % 0.76/0.91 apply (zenon_L238_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_L263_); trivial. % 0.76/0.91 apply (zenon_L265_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L274_); trivial. % 0.76/0.91 apply (zenon_L192_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L277_); trivial. % 0.76/0.91 apply (zenon_L207_); trivial. % 0.76/0.91 apply (zenon_L281_); trivial. % 0.76/0.91 apply (zenon_L263_); trivial. % 0.76/0.91 apply (zenon_L282_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_Ha. zenon_intro zenon_H319. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H260. zenon_intro zenon_H31a. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H5 | zenon_intro zenon_H290 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L4_); trivial. % 0.76/0.91 apply (zenon_L295_); trivial. % 0.76/0.91 apply (zenon_L297_); trivial. % 0.76/0.91 apply (zenon_L304_); trivial. % 0.76/0.91 apply (zenon_L306_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L4_); trivial. % 0.76/0.91 apply (zenon_L312_); trivial. % 0.76/0.91 apply (zenon_L297_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L74_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L189_); trivial. % 0.76/0.91 apply (zenon_L284_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H48); [ zenon_intro zenon_H1f | zenon_intro zenon_H4e ]. % 0.76/0.91 apply (zenon_L189_); trivial. % 0.76/0.91 apply (zenon_L309_); trivial. % 0.76/0.91 apply (zenon_L315_); trivial. % 0.76/0.91 apply (zenon_L72_); trivial. % 0.76/0.91 apply (zenon_L303_); trivial. % 0.76/0.91 apply (zenon_L306_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H292. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H226. zenon_intro zenon_H293. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L75_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L317_); trivial. % 0.76/0.91 apply (zenon_L236_); trivial. % 0.76/0.91 apply (zenon_L318_); trivial. % 0.76/0.91 apply (zenon_L319_); trivial. % 0.76/0.91 apply (zenon_L238_); trivial. % 0.76/0.91 apply (zenon_L304_); trivial. % 0.76/0.91 apply (zenon_L263_); trivial. % 0.76/0.91 apply (zenon_L323_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Ha. zenon_intro zenon_H31b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H270. zenon_intro zenon_H31c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H271. zenon_intro zenon_H26f. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H318 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H5 | zenon_intro zenon_H290 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_L338_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_L339_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H126). zenon_intro zenon_Ha. zenon_intro zenon_H127. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H127). zenon_intro zenon_H67. zenon_intro zenon_H128. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H128). zenon_intro zenon_H68. zenon_intro zenon_H66. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L340_); trivial. % 0.76/0.91 apply (zenon_L334_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_L341_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_L346_); trivial. % 0.76/0.91 apply (zenon_L348_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L351_); trivial. % 0.76/0.91 apply (zenon_L353_); trivial. % 0.76/0.91 apply (zenon_L348_); trivial. % 0.76/0.91 apply (zenon_L341_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_L354_); trivial. % 0.76/0.91 apply (zenon_L355_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_L354_); trivial. % 0.76/0.91 apply (zenon_L63_); trivial. % 0.76/0.91 apply (zenon_L359_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_L360_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_L208_); trivial. % 0.76/0.91 apply (zenon_L63_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_L341_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_L229_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12c). zenon_intro zenon_Ha. zenon_intro zenon_H12d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12d). zenon_intro zenon_Hfd. zenon_intro zenon_H12e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H12e). zenon_intro zenon_Hfb. zenon_intro zenon_Hfc. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_L361_); trivial. % 0.76/0.91 apply (zenon_L368_); trivial. % 0.76/0.91 apply (zenon_L341_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H292. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H226. zenon_intro zenon_H293. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_L383_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L370_); trivial. % 0.76/0.91 apply (zenon_L359_); trivial. % 0.76/0.91 apply (zenon_L385_); trivial. % 0.76/0.91 apply (zenon_L388_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L381_); trivial. % 0.76/0.91 apply (zenon_L368_); trivial. % 0.76/0.91 apply (zenon_L389_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_Ha. zenon_intro zenon_H319. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H260. zenon_intro zenon_H31a. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H5 | zenon_intro zenon_H290 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L391_); trivial. % 0.76/0.91 apply (zenon_L337_); trivial. % 0.76/0.91 apply (zenon_L392_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_Hf4 | zenon_intro zenon_H1b7 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_L391_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b7). zenon_intro zenon_Ha. zenon_intro zenon_H1b9. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1b9). zenon_intro zenon_H135. zenon_intro zenon_H1ba. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H1ba). zenon_intro zenon_H134. zenon_intro zenon_H132. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_L393_); trivial. % 0.76/0.91 apply (zenon_L395_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_L396_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_L398_); trivial. % 0.76/0.91 apply (zenon_L395_); trivial. % 0.76/0.91 apply (zenon_L348_); trivial. % 0.76/0.91 apply (zenon_L399_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_L285_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L331_); trivial. % 0.76/0.91 apply (zenon_L311_); trivial. % 0.76/0.91 apply (zenon_L395_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L74_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L331_); trivial. % 0.76/0.91 apply (zenon_L315_); trivial. % 0.76/0.91 apply (zenon_L72_); trivial. % 0.76/0.91 apply (zenon_L400_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_L401_); trivial. % 0.76/0.91 apply (zenon_L395_); trivial. % 0.76/0.91 apply (zenon_L104_); trivial. % 0.76/0.91 apply (zenon_L396_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L111_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_He9); [ zenon_intro zenon_H43 | zenon_intro zenon_Hed ]. % 0.76/0.91 apply (zenon_L285_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hed). zenon_intro zenon_Ha. zenon_intro zenon_Hee. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hee). zenon_intro zenon_Hda. zenon_intro zenon_Hef. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hef). zenon_intro zenon_Hd9. zenon_intro zenon_Hd8. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L138_); trivial. % 0.76/0.91 apply (zenon_L311_); trivial. % 0.76/0.91 apply (zenon_L395_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H175). zenon_intro zenon_Ha. zenon_intro zenon_H178. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H178). zenon_intro zenon_H115. zenon_intro zenon_H179. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H179). zenon_intro zenon_H11f. zenon_intro zenon_H114. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.91 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.91 apply (zenon_L325_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.91 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.91 apply (zenon_L74_); trivial. % 0.76/0.91 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.91 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.91 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.91 apply (zenon_L363_); trivial. % 0.76/0.92 apply (zenon_L315_); trivial. % 0.76/0.92 apply (zenon_L206_); trivial. % 0.76/0.92 apply (zenon_L400_); trivial. % 0.76/0.92 apply (zenon_L396_); trivial. % 0.76/0.92 apply (zenon_L408_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_Ha. zenon_intro zenon_H31d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H295. zenon_intro zenon_H31e. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H296. zenon_intro zenon_H297. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H2ae); [ zenon_intro zenon_H3 | zenon_intro zenon_H317 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H2e9); [ zenon_intro zenon_H294 | zenon_intro zenon_H4 ]. % 0.76/0.92 apply (zenon_L409_); trivial. % 0.76/0.92 exact (zenon_H3 zenon_H4). % 0.76/0.92 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_Ha. zenon_intro zenon_H31b. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H270. zenon_intro zenon_H31c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H271. zenon_intro zenon_H26f. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H2b0); [ zenon_intro zenon_Hf6 | zenon_intro zenon_H318 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H5 | zenon_intro zenon_H290 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.92 apply (zenon_L338_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.92 apply (zenon_L325_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.92 apply (zenon_L111_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.92 apply (zenon_L372_); trivial. % 0.76/0.92 apply (zenon_L334_); trivial. % 0.76/0.92 apply (zenon_L411_); trivial. % 0.76/0.92 apply (zenon_L104_); trivial. % 0.76/0.92 apply (zenon_L341_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_L398_); trivial. % 0.76/0.92 apply (zenon_L412_); trivial. % 0.76/0.92 apply (zenon_L348_); trivial. % 0.76/0.92 apply (zenon_L341_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.92 apply (zenon_L325_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.92 apply (zenon_L111_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.92 apply (zenon_L331_); trivial. % 0.76/0.92 apply (zenon_L416_); trivial. % 0.76/0.92 apply (zenon_L418_); trivial. % 0.76/0.92 apply (zenon_L420_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.92 apply (zenon_L325_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.92 apply (zenon_L111_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.92 apply (zenon_L219_); trivial. % 0.76/0.92 apply (zenon_L416_); trivial. % 0.76/0.92 apply (zenon_L411_); trivial. % 0.76/0.92 apply (zenon_L104_); trivial. % 0.76/0.92 apply (zenon_L341_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.92 apply (zenon_L325_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.92 apply (zenon_L111_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.92 apply (zenon_L138_); trivial. % 0.76/0.92 apply (zenon_L416_); trivial. % 0.76/0.92 apply (zenon_L423_); trivial. % 0.76/0.92 apply (zenon_L424_); trivial. % 0.76/0.92 apply (zenon_L341_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_Ha. zenon_intro zenon_H292. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H292). zenon_intro zenon_H226. zenon_intro zenon_H293. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H293). zenon_intro zenon_H224. zenon_intro zenon_H225. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.92 apply (zenon_L383_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_L407_); trivial. % 0.76/0.92 apply (zenon_L426_); trivial. % 0.76/0.92 apply (zenon_L385_); trivial. % 0.76/0.92 apply (zenon_L388_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_L381_); trivial. % 0.76/0.92 apply (zenon_L426_); trivial. % 0.76/0.92 apply (zenon_L389_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_Ha. zenon_intro zenon_H319. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H260. zenon_intro zenon_H31a. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H25e. zenon_intro zenon_H25f. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H5 | zenon_intro zenon_H290 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H291); [ zenon_intro zenon_H17 | zenon_intro zenon_H26c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_L429_); trivial. % 0.76/0.92 apply (zenon_L337_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H129); [ zenon_intro zenon_H15 | zenon_intro zenon_H126 ]. % 0.76/0.92 apply (zenon_L339_); trivial. % 0.76/0.92 apply (zenon_L431_); trivial. % 0.76/0.92 apply (zenon_L411_); trivial. % 0.76/0.92 apply (zenon_L104_); trivial. % 0.76/0.92 apply (zenon_L396_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_L432_); trivial. % 0.76/0.92 apply (zenon_L412_); trivial. % 0.76/0.92 apply (zenon_L348_); trivial. % 0.76/0.92 apply (zenon_L399_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26c). zenon_intro zenon_Ha. zenon_intro zenon_H26d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26d). zenon_intro zenon_H1d8. zenon_intro zenon_H26e. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H26e). zenon_intro zenon_H1d6. zenon_intro zenon_H1d7. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_H187 | zenon_intro zenon_H25a ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H28f); [ zenon_intro zenon_H150 | zenon_intro zenon_H21d ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_L429_); trivial. % 0.76/0.92 apply (zenon_L420_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H21d). zenon_intro zenon_Ha. zenon_intro zenon_H220. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H220). zenon_intro zenon_H17e. zenon_intro zenon_H221. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H221). zenon_intro zenon_H17f. zenon_intro zenon_H180. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H141 | zenon_intro zenon_H17a ]. % 0.76/0.92 apply (zenon_L325_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17a). zenon_intro zenon_Ha. zenon_intro zenon_H17b. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17b). zenon_intro zenon_H148. zenon_intro zenon_H17c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H17c). zenon_intro zenon_H149. zenon_intro zenon_H147. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_H1 | zenon_intro zenon_He8 ]. % 0.76/0.92 apply (zenon_L111_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Ha. zenon_intro zenon_Heb. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Heb). zenon_intro zenon_He. zenon_intro zenon_Hec. % 0.76/0.92 apply (zenon_and_s _ _ zenon_Hec). zenon_intro zenon_Hc. zenon_intro zenon_Hd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_Hea); [ zenon_intro zenon_H55 | zenon_intro zenon_Hf0 ]. % 0.76/0.92 apply (zenon_L219_); trivial. % 0.76/0.92 apply (zenon_L428_); trivial. % 0.76/0.92 apply (zenon_L411_); trivial. % 0.76/0.92 apply (zenon_L104_); trivial. % 0.76/0.92 apply (zenon_L396_); trivial. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25a). zenon_intro zenon_Ha. zenon_intro zenon_H25c. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25c). zenon_intro zenon_H1be. zenon_intro zenon_H25d. % 0.76/0.92 apply (zenon_and_s _ _ zenon_H25d). zenon_intro zenon_H1bf. zenon_intro zenon_H1bd. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H6f | zenon_intro zenon_H257 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H21f); [ zenon_intro zenon_H21 | zenon_intro zenon_H175 ]. % 0.76/0.92 apply (zenon_or_s _ _ zenon_H1c6); [ zenon_intro zenon_H79 | zenon_intro zenon_H12c ]. % 0.76/0.92 apply (zenon_L432_); trivial. % 0.76/0.92 apply (zenon_L423_); trivial. % 0.76/0.92 apply (zenon_L424_); trivial. % 0.76/0.92 apply (zenon_L396_); trivial. % 0.76/0.92 apply (zenon_L408_); trivial. % 0.76/0.92 Qed. % 0.76/0.92 % SZS output end Proof % 0.76/0.92 (* END-PROOF *) % 0.76/0.92 nodes searched: 27533 % 0.76/0.92 max branch formulas: 463 % 0.76/0.92 proof nodes created: 3622 % 0.76/0.92 formulas created: 32973 % 0.76/0.92 %------------------------------------------------------------------------------