%------------------------------------------------------------------------------ % File : Zenon---0.7.1 % Problem : SYN442+1 : TPTP v8.1.0. Released v2.1.0. % Transfm : none % Format : tptp:raw % Command : run_zenon %s %d % Computer : n020.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 13:52:34 EDT 2022 % Result : Theorem 0.86s 1.05s % Output : Proof 1.08s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SYN442+1 : TPTP v8.1.0. Released v2.1.0. % 0.11/0.13 % Command : run_zenon %s %d % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Mon Jul 11 20:25:12 EDT 2022 % 0.13/0.34 % CPUTime : % 0.86/1.05 (* PROOF-FOUND *) % 0.86/1.05 % SZS status Theorem % 0.86/1.05 (* BEGIN-PROOF *) % 0.86/1.05 % SZS output start Proof % 0.86/1.05 Theorem co1 : (~(((~(hskp0))\/((ndr1_0)/\((c2_1 (a124))/\((c3_1 (a124))/\(~(c0_1 (a124)))))))/\(((~(hskp1))\/((ndr1_0)/\((c0_1 (a125))/\((c1_1 (a125))/\(~(c3_1 (a125)))))))/\(((~(hskp2))\/((ndr1_0)/\((c0_1 (a126))/\((~(c1_1 (a126)))/\(~(c2_1 (a126)))))))/\(((~(hskp3))\/((ndr1_0)/\((~(c0_1 (a128)))/\((~(c2_1 (a128)))/\(~(c3_1 (a128)))))))/\(((~(hskp4))\/((ndr1_0)/\((c1_1 (a130))/\((c2_1 (a130))/\(~(c3_1 (a130)))))))/\(((~(hskp5))\/((ndr1_0)/\((c1_1 (a131))/\((c3_1 (a131))/\(~(c2_1 (a131)))))))/\(((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a133)))/\((~(c1_1 (a133)))/\(~(c2_1 (a133)))))))/\(((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))))/\(((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135)))))))/\(((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))))/\(((~(hskp10))\/((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))))/\(((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))))/\(((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))))/\(((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))))/\(((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))))/\(((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))))/\(((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))))/\(((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))))/\(((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))))/\(((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))))/\(((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))))/\(((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170)))))))/\(((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))))/\(((~(hskp23))\/((ndr1_0)/\((c1_1 (a181))/\((c2_1 (a181))/\(~(c0_1 (a181)))))))/\(((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))))/\(((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))))/\(((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))))/\(((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))))/\(((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))))/\(((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))))/\(((~(hskp30))\/((ndr1_0)/\((c0_1 (a199))/\((c1_1 (a199))/\(c2_1 (a199))))))/\(((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)\/((c2_1 W)\/(~(c0_1 W))))))))/\(((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0)))/\(((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2)))/\(((forall X4 : zenon_U, ((ndr1_0)->((c0_1 X4)\/((c1_1 X4)\/(~(c2_1 X4))))))\/((hskp1)\/(hskp3)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((forall X6 : zenon_U, ((ndr1_0)->((c1_1 X6)\/((~(c2_1 X6))\/(~(c3_1 X6))))))\/(hskp2)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6)))/\(((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp7)\/(hskp8)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9)))/\(((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp10)\/(hskp11)))/\(((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13)))/\(((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6)))/\(((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10)))/\(((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17)))/\(((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18)))/\(((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))))/\(((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7)))/\(((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19)))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))))/\(((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8)))/\(((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17)))/\(((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/((hskp16)\/(hskp21)))/\(((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/((hskp10)\/(hskp13)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17)))/\(((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3)))/\(((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21)))/\(((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15))/\(((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp16)\/(hskp23)))/\(((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24)))/\(((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24)))/\(((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13)))/\(((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12))/\(((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13)))/\(((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15)))/\(((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24)))/\(((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1)))/\(((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26)))/\(((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/((hskp18)\/(hskp12)))/\(((hskp30)\/((hskp10)\/(hskp18)))/\(((hskp9)\/((hskp21)\/(hskp6)))/\(((hskp10)\/((hskp5)\/(hskp0)))/\(((hskp11)\/(hskp8))/\((hskp12)\/((hskp5)\/(hskp15)))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))))). % 0.86/1.05 Proof. % 0.86/1.05 assert (zenon_L1_ : (~(hskp11)) -> (hskp11) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1 zenon_H2. % 0.86/1.05 exact (zenon_H1 zenon_H2). % 0.86/1.05 (* end of lemma zenon_L1_ *) % 0.86/1.05 assert (zenon_L2_ : (~(hskp8)) -> (hskp8) -> False). % 0.86/1.05 do 0 intro. intros zenon_H3 zenon_H4. % 0.86/1.05 exact (zenon_H3 zenon_H4). % 0.86/1.05 (* end of lemma zenon_L2_ *) % 0.86/1.05 assert (zenon_L3_ : ((hskp11)\/(hskp8)) -> (~(hskp8)) -> (~(hskp11)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H5 zenon_H3 zenon_H1. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H5); [ zenon_intro zenon_H2 | zenon_intro zenon_H4 ]. % 0.86/1.05 exact (zenon_H1 zenon_H2). % 0.86/1.05 exact (zenon_H3 zenon_H4). % 0.86/1.05 (* end of lemma zenon_L3_ *) % 0.86/1.05 assert (zenon_L4_ : (~(hskp9)) -> (hskp9) -> False). % 0.86/1.05 do 0 intro. intros zenon_H6 zenon_H7. % 0.86/1.05 exact (zenon_H6 zenon_H7). % 0.86/1.05 (* end of lemma zenon_L4_ *) % 0.86/1.05 assert (zenon_L5_ : (~(hskp21)) -> (hskp21) -> False). % 0.86/1.05 do 0 intro. intros zenon_H8 zenon_H9. % 0.86/1.05 exact (zenon_H8 zenon_H9). % 0.86/1.05 (* end of lemma zenon_L5_ *) % 0.86/1.05 assert (zenon_L6_ : (~(hskp6)) -> (hskp6) -> False). % 0.86/1.05 do 0 intro. intros zenon_Ha zenon_Hb. % 0.86/1.05 exact (zenon_Ha zenon_Hb). % 0.86/1.05 (* end of lemma zenon_L6_ *) % 0.86/1.05 assert (zenon_L7_ : ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp9)) -> (~(hskp21)) -> (~(hskp6)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hc zenon_H6 zenon_H8 zenon_Ha. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hc); [ zenon_intro zenon_H7 | zenon_intro zenon_Hd ]. % 0.86/1.05 exact (zenon_H6 zenon_H7). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hd); [ zenon_intro zenon_H9 | zenon_intro zenon_Hb ]. % 0.86/1.05 exact (zenon_H8 zenon_H9). % 0.86/1.05 exact (zenon_Ha zenon_Hb). % 0.86/1.05 (* end of lemma zenon_L7_ *) % 0.86/1.05 assert (zenon_L8_ : (~(ndr1_0)) -> (ndr1_0) -> False). % 0.86/1.05 do 0 intro. intros zenon_He zenon_Hf. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 (* end of lemma zenon_L8_ *) % 0.86/1.05 assert (zenon_L9_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a170))) -> (~(c2_1 (a170))) -> (c3_1 (a170)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H10 zenon_Hf zenon_H11 zenon_H12 zenon_H13. % 0.86/1.05 generalize (zenon_H10 (a170)). zenon_intro zenon_H14. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H14); [ zenon_intro zenon_He | zenon_intro zenon_H15 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H15); [ zenon_intro zenon_H17 | zenon_intro zenon_H16 ]. % 0.86/1.05 exact (zenon_H11 zenon_H17). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H16); [ zenon_intro zenon_H19 | zenon_intro zenon_H18 ]. % 0.86/1.05 exact (zenon_H12 zenon_H19). % 0.86/1.05 exact (zenon_H18 zenon_H13). % 0.86/1.05 (* end of lemma zenon_L9_ *) % 0.86/1.05 assert (zenon_L10_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (ndr1_0) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1a zenon_Hf zenon_H1b zenon_H1c zenon_H1d zenon_H1e. % 0.86/1.05 generalize (zenon_H1a (a139)). zenon_intro zenon_H1f. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H1f); [ zenon_intro zenon_He | zenon_intro zenon_H20 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H20); [ zenon_intro zenon_H22 | zenon_intro zenon_H21 ]. % 0.86/1.05 generalize (zenon_H1b (a139)). zenon_intro zenon_H23. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H23); [ zenon_intro zenon_He | zenon_intro zenon_H24 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H24); [ zenon_intro zenon_H26 | zenon_intro zenon_H25 ]. % 0.86/1.05 exact (zenon_H1c zenon_H26). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H25); [ zenon_intro zenon_H28 | zenon_intro zenon_H27 ]. % 0.86/1.05 exact (zenon_H1d zenon_H28). % 0.86/1.05 exact (zenon_H27 zenon_H22). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 0.86/1.05 exact (zenon_H1d zenon_H28). % 0.86/1.05 exact (zenon_H29 zenon_H1e). % 0.86/1.05 (* end of lemma zenon_L10_ *) % 0.86/1.05 assert (zenon_L11_ : (~(hskp1)) -> (hskp1) -> False). % 0.86/1.05 do 0 intro. intros zenon_H2a zenon_H2b. % 0.86/1.05 exact (zenon_H2a zenon_H2b). % 0.86/1.05 (* end of lemma zenon_L11_ *) % 0.86/1.05 assert (zenon_L12_ : (~(hskp3)) -> (hskp3) -> False). % 0.86/1.05 do 0 intro. intros zenon_H2c zenon_H2d. % 0.86/1.05 exact (zenon_H2c zenon_H2d). % 0.86/1.05 (* end of lemma zenon_L12_ *) % 0.86/1.05 assert (zenon_L13_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H2e zenon_H1e zenon_H1d zenon_H1c zenon_H1b zenon_Hf zenon_H2a zenon_H2c. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1a | zenon_intro zenon_H2f ]. % 0.86/1.05 apply (zenon_L10_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.86/1.05 exact (zenon_H2a zenon_H2b). % 0.86/1.05 exact (zenon_H2c zenon_H2d). % 0.86/1.05 (* end of lemma zenon_L13_ *) % 0.86/1.05 assert (zenon_L14_ : ((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H30 zenon_H31 zenon_H2a zenon_H1c zenon_H1d zenon_H1e zenon_H2e zenon_H2c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.05 apply (zenon_L9_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.05 apply (zenon_L13_); trivial. % 0.86/1.05 exact (zenon_H2c zenon_H2d). % 0.86/1.05 (* end of lemma zenon_L14_ *) % 0.86/1.05 assert (zenon_L15_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H35 zenon_H31 zenon_H1c zenon_H1d zenon_H1e zenon_H2a zenon_H2c zenon_H2e zenon_H6 zenon_Ha zenon_Hc. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.86/1.05 apply (zenon_L7_); trivial. % 0.86/1.05 apply (zenon_L14_); trivial. % 0.86/1.05 (* end of lemma zenon_L15_ *) % 0.86/1.05 assert (zenon_L16_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H36 zenon_Hf zenon_H1c zenon_H1d zenon_H1e. % 0.86/1.05 generalize (zenon_H36 (a139)). zenon_intro zenon_H37. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H37); [ zenon_intro zenon_He | zenon_intro zenon_H38 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H38); [ zenon_intro zenon_H26 | zenon_intro zenon_H21 ]. % 0.86/1.05 exact (zenon_H1c zenon_H26). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H21); [ zenon_intro zenon_H28 | zenon_intro zenon_H29 ]. % 0.86/1.05 exact (zenon_H1d zenon_H28). % 0.86/1.05 exact (zenon_H29 zenon_H1e). % 0.86/1.05 (* end of lemma zenon_L16_ *) % 0.86/1.05 assert (zenon_L17_ : (~(hskp4)) -> (hskp4) -> False). % 0.86/1.05 do 0 intro. intros zenon_H39 zenon_H3a. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 (* end of lemma zenon_L17_ *) % 0.86/1.05 assert (zenon_L18_ : (~(hskp5)) -> (hskp5) -> False). % 0.86/1.05 do 0 intro. intros zenon_H3b zenon_H3c. % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L18_ *) % 0.86/1.05 assert (zenon_L19_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H3d zenon_H3e zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H36 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L16_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L19_ *) % 0.86/1.05 assert (zenon_L20_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H42 zenon_H3e zenon_H3b zenon_H39 zenon_H3 zenon_H5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.86/1.05 apply (zenon_L3_); trivial. % 0.86/1.05 apply (zenon_L19_); trivial. % 0.86/1.05 (* end of lemma zenon_L20_ *) % 0.86/1.05 assert (zenon_L21_ : (~(hskp14)) -> (hskp14) -> False). % 0.86/1.05 do 0 intro. intros zenon_H43 zenon_H44. % 0.86/1.05 exact (zenon_H43 zenon_H44). % 0.86/1.05 (* end of lemma zenon_L21_ *) % 0.86/1.05 assert (zenon_L22_ : ((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H30 zenon_H45 zenon_H43 zenon_H2c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.05 apply (zenon_L9_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.05 exact (zenon_H43 zenon_H44). % 0.86/1.05 exact (zenon_H2c zenon_H2d). % 0.86/1.05 (* end of lemma zenon_L22_ *) % 0.86/1.05 assert (zenon_L23_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H35 zenon_H45 zenon_H2c zenon_H43 zenon_H6 zenon_Ha zenon_Hc. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.86/1.05 apply (zenon_L7_); trivial. % 0.86/1.05 apply (zenon_L22_); trivial. % 0.86/1.05 (* end of lemma zenon_L23_ *) % 0.86/1.05 assert (zenon_L24_ : (forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V))))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H47 zenon_Hf zenon_H48 zenon_H49 zenon_H4a. % 0.86/1.05 generalize (zenon_H47 (a145)). zenon_intro zenon_H4b. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H4b); [ zenon_intro zenon_He | zenon_intro zenon_H4c ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4c); [ zenon_intro zenon_H4e | zenon_intro zenon_H4d ]. % 0.86/1.05 exact (zenon_H48 zenon_H4e). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H4d); [ zenon_intro zenon_H50 | zenon_intro zenon_H4f ]. % 0.86/1.05 exact (zenon_H49 zenon_H50). % 0.86/1.05 exact (zenon_H4a zenon_H4f). % 0.86/1.05 (* end of lemma zenon_L24_ *) % 0.86/1.05 assert (zenon_L25_ : (~(hskp2)) -> (hskp2) -> False). % 0.86/1.05 do 0 intro. intros zenon_H51 zenon_H52. % 0.86/1.05 exact (zenon_H51 zenon_H52). % 0.86/1.05 (* end of lemma zenon_L25_ *) % 0.86/1.05 assert (zenon_L26_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp1)) -> (~(hskp2)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H53 zenon_H54 zenon_H2a zenon_H51. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H54); [ zenon_intro zenon_H47 | zenon_intro zenon_H57 ]. % 0.86/1.05 apply (zenon_L24_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H57); [ zenon_intro zenon_H2b | zenon_intro zenon_H52 ]. % 0.86/1.05 exact (zenon_H2a zenon_H2b). % 0.86/1.05 exact (zenon_H51 zenon_H52). % 0.86/1.05 (* end of lemma zenon_L26_ *) % 0.86/1.05 assert (zenon_L27_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H58 zenon_H54 zenon_H51 zenon_H2a zenon_Hc zenon_Ha zenon_H6 zenon_H2c zenon_H45 zenon_H35. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.05 apply (zenon_L23_); trivial. % 0.86/1.05 apply (zenon_L26_); trivial. % 0.86/1.05 (* end of lemma zenon_L27_ *) % 0.86/1.05 assert (zenon_L28_ : (~(hskp12)) -> (hskp12) -> False). % 0.86/1.05 do 0 intro. intros zenon_H59 zenon_H5a. % 0.86/1.05 exact (zenon_H59 zenon_H5a). % 0.86/1.05 (* end of lemma zenon_L28_ *) % 0.86/1.05 assert (zenon_L29_ : (~(hskp15)) -> (hskp15) -> False). % 0.86/1.05 do 0 intro. intros zenon_H5b zenon_H5c. % 0.86/1.05 exact (zenon_H5b zenon_H5c). % 0.86/1.05 (* end of lemma zenon_L29_ *) % 0.86/1.05 assert (zenon_L30_ : ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp12)) -> (~(hskp5)) -> (~(hskp15)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H5d zenon_H59 zenon_H3b zenon_H5b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H5d); [ zenon_intro zenon_H5a | zenon_intro zenon_H5e ]. % 0.86/1.05 exact (zenon_H59 zenon_H5a). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H5e); [ zenon_intro zenon_H3c | zenon_intro zenon_H5c ]. % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 exact (zenon_H5b zenon_H5c). % 0.86/1.05 (* end of lemma zenon_L30_ *) % 0.86/1.05 assert (zenon_L31_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a136)) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H5f zenon_Hf zenon_H60 zenon_H36 zenon_H61 zenon_H62. % 0.86/1.05 generalize (zenon_H5f (a136)). zenon_intro zenon_H63. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_He | zenon_intro zenon_H64 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ]. % 0.86/1.05 exact (zenon_H66 zenon_H60). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 0.86/1.05 generalize (zenon_H36 (a136)). zenon_intro zenon_H69. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H69); [ zenon_intro zenon_He | zenon_intro zenon_H6a ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H6a); [ zenon_intro zenon_H6c | zenon_intro zenon_H6b ]. % 0.86/1.05 exact (zenon_H68 zenon_H6c). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H6b); [ zenon_intro zenon_H6d | zenon_intro zenon_H66 ]. % 0.86/1.05 exact (zenon_H61 zenon_H6d). % 0.86/1.05 exact (zenon_H66 zenon_H60). % 0.86/1.05 exact (zenon_H67 zenon_H62). % 0.86/1.05 (* end of lemma zenon_L31_ *) % 0.86/1.05 assert (zenon_L32_ : (~(hskp19)) -> (hskp19) -> False). % 0.86/1.05 do 0 intro. intros zenon_H6e zenon_H6f. % 0.86/1.05 exact (zenon_H6e zenon_H6f). % 0.86/1.05 (* end of lemma zenon_L32_ *) % 0.86/1.05 assert (zenon_L33_ : (~(hskp13)) -> (hskp13) -> False). % 0.86/1.05 do 0 intro. intros zenon_H70 zenon_H71. % 0.86/1.05 exact (zenon_H70 zenon_H71). % 0.86/1.05 (* end of lemma zenon_L33_ *) % 0.86/1.05 assert (zenon_L34_ : ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H72 zenon_H62 zenon_H61 zenon_H36 zenon_H60 zenon_Hf zenon_H6e zenon_H70. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5f | zenon_intro zenon_H73 ]. % 0.86/1.05 apply (zenon_L31_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6f | zenon_intro zenon_H71 ]. % 0.86/1.05 exact (zenon_H6e zenon_H6f). % 0.86/1.05 exact (zenon_H70 zenon_H71). % 0.86/1.05 (* end of lemma zenon_L34_ *) % 0.86/1.05 assert (zenon_L35_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp13)) -> (~(hskp19)) -> (ndr1_0) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H3e zenon_H70 zenon_H6e zenon_Hf zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H36 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L34_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L35_ *) % 0.86/1.05 assert (zenon_L36_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H74 zenon_Hf zenon_H75 zenon_H76 zenon_H77. % 0.86/1.05 generalize (zenon_H74 (a162)). zenon_intro zenon_H78. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H78); [ zenon_intro zenon_He | zenon_intro zenon_H79 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H79); [ zenon_intro zenon_H7b | zenon_intro zenon_H7a ]. % 0.86/1.05 exact (zenon_H75 zenon_H7b). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.86/1.05 exact (zenon_H7d zenon_H76). % 0.86/1.05 exact (zenon_H7c zenon_H77). % 0.86/1.05 (* end of lemma zenon_L36_ *) % 0.86/1.05 assert (zenon_L37_ : (~(hskp24)) -> (hskp24) -> False). % 0.86/1.05 do 0 intro. intros zenon_H7e zenon_H7f. % 0.86/1.05 exact (zenon_H7e zenon_H7f). % 0.86/1.05 (* end of lemma zenon_L37_ *) % 0.86/1.05 assert (zenon_L38_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H80 zenon_H77 zenon_H76 zenon_H75 zenon_Hf zenon_H3b zenon_H7e. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H74 | zenon_intro zenon_H81 ]. % 0.86/1.05 apply (zenon_L36_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3c | zenon_intro zenon_H7f ]. % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 exact (zenon_H7e zenon_H7f). % 0.86/1.05 (* end of lemma zenon_L38_ *) % 0.86/1.05 assert (zenon_L39_ : (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (ndr1_0) -> (~(c1_1 (a183))) -> (~(c3_1 (a183))) -> (c0_1 (a183)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H36 zenon_Hf zenon_H82 zenon_H83 zenon_H84. % 0.86/1.05 generalize (zenon_H36 (a183)). zenon_intro zenon_H85. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H85); [ zenon_intro zenon_He | zenon_intro zenon_H86 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H86); [ zenon_intro zenon_H88 | zenon_intro zenon_H87 ]. % 0.86/1.05 exact (zenon_H82 zenon_H88). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H87); [ zenon_intro zenon_H8a | zenon_intro zenon_H89 ]. % 0.86/1.05 exact (zenon_H83 zenon_H8a). % 0.86/1.05 exact (zenon_H89 zenon_H84). % 0.86/1.05 (* end of lemma zenon_L39_ *) % 0.86/1.05 assert (zenon_L40_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (~(c1_1 (a183))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H8b zenon_Hf zenon_H36 zenon_H82 zenon_H83 zenon_H8c. % 0.86/1.05 generalize (zenon_H8b (a183)). zenon_intro zenon_H8d. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H8d); [ zenon_intro zenon_He | zenon_intro zenon_H8e ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H8e); [ zenon_intro zenon_H84 | zenon_intro zenon_H8f ]. % 0.86/1.05 apply (zenon_L39_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H8f); [ zenon_intro zenon_H88 | zenon_intro zenon_H90 ]. % 0.86/1.05 exact (zenon_H82 zenon_H88). % 0.86/1.05 exact (zenon_H8c zenon_H90). % 0.86/1.05 (* end of lemma zenon_L40_ *) % 0.86/1.05 assert (zenon_L41_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (ndr1_0) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H3e zenon_H8c zenon_H83 zenon_H82 zenon_Hf zenon_H8b zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H36 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L40_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L41_ *) % 0.86/1.05 assert (zenon_L42_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (ndr1_0) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (~(c1_1 (a183))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H91 zenon_Hf zenon_H36 zenon_H82 zenon_H83 zenon_H8c. % 0.86/1.05 generalize (zenon_H91 (a183)). zenon_intro zenon_H92. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H92); [ zenon_intro zenon_He | zenon_intro zenon_H93 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H93); [ zenon_intro zenon_H84 | zenon_intro zenon_H94 ]. % 0.86/1.05 apply (zenon_L39_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H90 | zenon_intro zenon_H8a ]. % 0.86/1.05 exact (zenon_H8c zenon_H90). % 0.86/1.05 exact (zenon_H83 zenon_H8a). % 0.86/1.05 (* end of lemma zenon_L42_ *) % 0.86/1.05 assert (zenon_L43_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (ndr1_0) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H3e zenon_H8c zenon_H83 zenon_H82 zenon_Hf zenon_H91 zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H3e); [ zenon_intro zenon_H36 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L42_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L43_ *) % 0.86/1.05 assert (zenon_L44_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H95 zenon_Hf zenon_H96 zenon_H97 zenon_H98. % 0.86/1.05 generalize (zenon_H95 (a149)). zenon_intro zenon_H99. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_He | zenon_intro zenon_H9a ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.86/1.05 generalize (zenon_H96 (a149)). zenon_intro zenon_H9d. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_He | zenon_intro zenon_H9e ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.86/1.05 exact (zenon_H97 zenon_Ha0). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.86/1.05 exact (zenon_Ha2 zenon_H9c). % 0.86/1.05 exact (zenon_Ha1 zenon_H98). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 0.86/1.05 exact (zenon_H97 zenon_Ha0). % 0.86/1.05 exact (zenon_Ha1 zenon_H98). % 0.86/1.05 (* end of lemma zenon_L44_ *) % 0.86/1.05 assert (zenon_L45_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Ha3 zenon_H98 zenon_H97 zenon_H96 zenon_Hf zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L44_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L45_ *) % 0.86/1.05 assert (zenon_L46_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H3e zenon_Ha3 zenon_H98 zenon_H97 zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.86/1.05 apply (zenon_L41_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.86/1.05 apply (zenon_L43_); trivial. % 0.86/1.05 apply (zenon_L45_); trivial. % 0.86/1.05 (* end of lemma zenon_L46_ *) % 0.86/1.05 assert (zenon_L47_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_Ha5 zenon_H97 zenon_H98 zenon_Ha3 zenon_H39 zenon_H3e zenon_H3b zenon_H80. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.05 apply (zenon_L38_); trivial. % 0.86/1.05 apply (zenon_L46_); trivial. % 0.86/1.05 (* end of lemma zenon_L47_ *) % 0.86/1.05 assert (zenon_L48_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Had zenon_Hae zenon_Haa zenon_Ha5 zenon_Ha3 zenon_H80 zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_H39 zenon_H3b zenon_H3e. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.05 apply (zenon_L35_); trivial. % 0.86/1.05 apply (zenon_L47_); trivial. % 0.86/1.05 (* end of lemma zenon_L48_ *) % 0.86/1.05 assert (zenon_L49_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_Haa zenon_Ha5 zenon_Ha3 zenon_H80 zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_H39 zenon_H3e zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.05 apply (zenon_L30_); trivial. % 0.86/1.05 apply (zenon_L48_); trivial. % 0.86/1.05 (* end of lemma zenon_L49_ *) % 0.86/1.05 assert (zenon_L50_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hb3 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6. % 0.86/1.05 generalize (zenon_Hb3 (a144)). zenon_intro zenon_Hb7. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_Hb7); [ zenon_intro zenon_He | zenon_intro zenon_Hb8 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hb8); [ zenon_intro zenon_Hba | zenon_intro zenon_Hb9 ]. % 0.86/1.05 exact (zenon_Hb4 zenon_Hba). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hb9); [ zenon_intro zenon_Hbc | zenon_intro zenon_Hbb ]. % 0.86/1.05 exact (zenon_Hb5 zenon_Hbc). % 0.86/1.05 exact (zenon_Hbb zenon_Hb6). % 0.86/1.05 (* end of lemma zenon_L50_ *) % 0.86/1.05 assert (zenon_L51_ : (~(hskp7)) -> (hskp7) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hbd zenon_Hbe. % 0.86/1.05 exact (zenon_Hbd zenon_Hbe). % 0.86/1.05 (* end of lemma zenon_L51_ *) % 0.86/1.05 assert (zenon_L52_ : (~(hskp17)) -> (hskp17) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hbf zenon_Hc0. % 0.86/1.05 exact (zenon_Hbf zenon_Hc0). % 0.86/1.05 (* end of lemma zenon_L52_ *) % 0.86/1.05 assert (zenon_L53_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp17)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hc1 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_Hbd zenon_Hbf. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hc2 ]. % 0.86/1.05 apply (zenon_L50_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 0.86/1.05 exact (zenon_Hbd zenon_Hbe). % 0.86/1.05 exact (zenon_Hbf zenon_Hc0). % 0.86/1.05 (* end of lemma zenon_L53_ *) % 0.86/1.05 assert (zenon_L54_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hc3 zenon_Hf zenon_Hc4 zenon_Hc5 zenon_Hc6. % 0.86/1.05 generalize (zenon_Hc3 (a158)). zenon_intro zenon_Hc7. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_Hc7); [ zenon_intro zenon_He | zenon_intro zenon_Hc8 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hc8); [ zenon_intro zenon_Hca | zenon_intro zenon_Hc9 ]. % 0.86/1.05 exact (zenon_Hc4 zenon_Hca). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hc9); [ zenon_intro zenon_Hcc | zenon_intro zenon_Hcb ]. % 0.86/1.05 exact (zenon_Hc5 zenon_Hcc). % 0.86/1.05 exact (zenon_Hcb zenon_Hc6). % 0.86/1.05 (* end of lemma zenon_L54_ *) % 0.86/1.05 assert (zenon_L55_ : (~(hskp16)) -> (hskp16) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hcd zenon_Hce. % 0.86/1.05 exact (zenon_Hcd zenon_Hce). % 0.86/1.05 (* end of lemma zenon_L55_ *) % 0.86/1.05 assert (zenon_L56_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(hskp16)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hcf zenon_Hd0 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hcd. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hd3 ]. % 0.86/1.05 apply (zenon_L50_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hce ]. % 0.86/1.05 apply (zenon_L54_); trivial. % 0.86/1.05 exact (zenon_Hcd zenon_Hce). % 0.86/1.05 (* end of lemma zenon_L56_ *) % 0.86/1.05 assert (zenon_L57_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hd4 zenon_Hd0 zenon_Hcd zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_Hbd zenon_Hc1. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.05 apply (zenon_L53_); trivial. % 0.86/1.05 apply (zenon_L56_); trivial. % 0.86/1.05 (* end of lemma zenon_L57_ *) % 0.86/1.05 assert (zenon_L58_ : (forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hd5 zenon_Hf zenon_Hd6 zenon_Hd7 zenon_Hd8. % 0.86/1.05 generalize (zenon_Hd5 (a151)). zenon_intro zenon_Hd9. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_Hd9); [ zenon_intro zenon_He | zenon_intro zenon_Hda ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hda); [ zenon_intro zenon_Hdc | zenon_intro zenon_Hdb ]. % 0.86/1.05 exact (zenon_Hd6 zenon_Hdc). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hdb); [ zenon_intro zenon_Hde | zenon_intro zenon_Hdd ]. % 0.86/1.05 exact (zenon_Hde zenon_Hd7). % 0.86/1.05 exact (zenon_Hdd zenon_Hd8). % 0.86/1.05 (* end of lemma zenon_L58_ *) % 0.86/1.05 assert (zenon_L59_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hdf zenon_He0 zenon_H5b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.05 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.05 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H5c ]. % 0.86/1.05 apply (zenon_L58_); trivial. % 0.86/1.05 exact (zenon_H5b zenon_H5c). % 0.86/1.05 (* end of lemma zenon_L59_ *) % 0.86/1.05 assert (zenon_L60_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_Hc1 zenon_Hbd zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_Hd0 zenon_Hd4. % 0.86/1.05 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.05 apply (zenon_L57_); trivial. % 0.86/1.05 apply (zenon_L59_); trivial. % 0.86/1.05 (* end of lemma zenon_L60_ *) % 0.86/1.05 assert (zenon_L61_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a149))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H74 zenon_Hf zenon_Hb1 zenon_H95 zenon_H97 zenon_H98. % 0.86/1.05 generalize (zenon_H74 (a149)). zenon_intro zenon_He4. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_He | zenon_intro zenon_He5 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He6 | zenon_intro zenon_H9f ]. % 0.86/1.05 exact (zenon_Hb1 zenon_He6). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.86/1.05 generalize (zenon_H95 (a149)). zenon_intro zenon_H99. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_He | zenon_intro zenon_H9a ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.86/1.05 exact (zenon_Ha2 zenon_H9c). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 0.86/1.05 exact (zenon_H97 zenon_Ha0). % 0.86/1.05 exact (zenon_Ha1 zenon_H98). % 0.86/1.05 exact (zenon_Ha1 zenon_H98). % 0.86/1.05 (* end of lemma zenon_L61_ *) % 0.86/1.05 assert (zenon_L62_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H80 zenon_H98 zenon_H97 zenon_H95 zenon_Hb1 zenon_Hf zenon_H3b zenon_H7e. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H74 | zenon_intro zenon_H81 ]. % 0.86/1.05 apply (zenon_L61_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3c | zenon_intro zenon_H7f ]. % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 exact (zenon_H7e zenon_H7f). % 0.86/1.05 (* end of lemma zenon_L62_ *) % 0.86/1.05 assert (zenon_L63_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp24)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Ha3 zenon_H7e zenon_Hf zenon_Hb1 zenon_H97 zenon_H98 zenon_H80 zenon_H39 zenon_H3b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L62_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 (* end of lemma zenon_L63_ *) % 0.86/1.05 assert (zenon_L64_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 0.86/1.05 do 0 intro. intros zenon_Had zenon_Haa zenon_Ha5 zenon_H3e zenon_H80 zenon_H3b zenon_H39 zenon_Ha3. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.05 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.05 apply (zenon_L63_); trivial. % 0.86/1.05 apply (zenon_L46_); trivial. % 0.86/1.05 (* end of lemma zenon_L64_ *) % 0.86/1.05 assert (zenon_L65_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.05 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Haa zenon_Ha5 zenon_H3e zenon_H80 zenon_H3b zenon_H39 zenon_Ha3 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.86/1.05 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.05 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.05 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.05 apply (zenon_L60_); trivial. % 0.86/1.05 apply (zenon_L64_); trivial. % 0.86/1.05 (* end of lemma zenon_L65_ *) % 0.86/1.05 assert (zenon_L66_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hea zenon_Hf zenon_H95 zenon_Heb zenon_Hec zenon_Hed. % 0.86/1.05 generalize (zenon_Hea (a135)). zenon_intro zenon_Hee. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_He | zenon_intro zenon_Hef ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ]. % 0.86/1.05 generalize (zenon_H95 (a135)). zenon_intro zenon_Hf2. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_Hf2); [ zenon_intro zenon_He | zenon_intro zenon_Hf3 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf3); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf4 ]. % 0.86/1.05 exact (zenon_Hf1 zenon_Hf5). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf4); [ zenon_intro zenon_Hf7 | zenon_intro zenon_Hf6 ]. % 0.86/1.05 exact (zenon_Heb zenon_Hf7). % 0.86/1.05 exact (zenon_Hf6 zenon_Hec). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf6 ]. % 0.86/1.05 exact (zenon_Hf8 zenon_Hed). % 0.86/1.05 exact (zenon_Hf6 zenon_Hec). % 0.86/1.05 (* end of lemma zenon_L66_ *) % 0.86/1.05 assert (zenon_L67_ : (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (c1_1 (a140)) -> (c2_1 (a140)) -> (c3_1 (a140)) -> False). % 0.86/1.05 do 0 intro. intros zenon_Hf9 zenon_Hf zenon_Hfa zenon_Hfb zenon_Hfc. % 0.86/1.05 generalize (zenon_Hf9 (a140)). zenon_intro zenon_Hfd. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_Hfd); [ zenon_intro zenon_He | zenon_intro zenon_Hfe ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hfe); [ zenon_intro zenon_H100 | zenon_intro zenon_Hff ]. % 0.86/1.05 exact (zenon_H100 zenon_Hfa). % 0.86/1.05 apply (zenon_or_s _ _ zenon_Hff); [ zenon_intro zenon_H102 | zenon_intro zenon_H101 ]. % 0.86/1.05 exact (zenon_H102 zenon_Hfb). % 0.86/1.05 exact (zenon_H101 zenon_Hfc). % 0.86/1.05 (* end of lemma zenon_L67_ *) % 0.86/1.05 assert (zenon_L68_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H10 zenon_Hf zenon_H103 zenon_Hf9 zenon_Hfa zenon_Hfc. % 0.86/1.05 generalize (zenon_H10 (a140)). zenon_intro zenon_H104. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H104); [ zenon_intro zenon_He | zenon_intro zenon_H105 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H105); [ zenon_intro zenon_H107 | zenon_intro zenon_H106 ]. % 0.86/1.05 exact (zenon_H103 zenon_H107). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H106); [ zenon_intro zenon_Hfb | zenon_intro zenon_H101 ]. % 0.86/1.05 apply (zenon_L67_); trivial. % 0.86/1.05 exact (zenon_H101 zenon_Hfc). % 0.86/1.05 (* end of lemma zenon_L68_ *) % 0.86/1.05 assert (zenon_L69_ : ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (ndr1_0) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(hskp1)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H108 zenon_Hed zenon_Hec zenon_Heb zenon_H95 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hf zenon_H10 zenon_H2a. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hea | zenon_intro zenon_H109 ]. % 0.86/1.05 apply (zenon_L66_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H2b ]. % 0.86/1.05 apply (zenon_L68_); trivial. % 0.86/1.05 exact (zenon_H2a zenon_H2b). % 0.86/1.05 (* end of lemma zenon_L69_ *) % 0.86/1.05 assert (zenon_L70_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H45 zenon_H2a zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc zenon_H95 zenon_Heb zenon_Hec zenon_Hed zenon_H108 zenon_H43 zenon_H2c. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.05 apply (zenon_L69_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.05 exact (zenon_H43 zenon_H44). % 0.86/1.05 exact (zenon_H2c zenon_H2d). % 0.86/1.05 (* end of lemma zenon_L70_ *) % 0.86/1.05 assert (zenon_L71_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H10a zenon_H58 zenon_H54 zenon_H51 zenon_H45 zenon_H2c zenon_Heb zenon_Hec zenon_Hed zenon_H2a zenon_H108 zenon_H39 zenon_H3b zenon_Ha3. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.86/1.05 apply (zenon_L70_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.05 exact (zenon_H39 zenon_H3a). % 0.86/1.05 exact (zenon_H3b zenon_H3c). % 0.86/1.05 apply (zenon_L26_); trivial. % 0.86/1.05 (* end of lemma zenon_L71_ *) % 0.86/1.05 assert (zenon_L72_ : (forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20)))))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H10d zenon_Hf zenon_H10e zenon_H10f zenon_H110. % 0.86/1.05 generalize (zenon_H10d (a134)). zenon_intro zenon_H111. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H111); [ zenon_intro zenon_He | zenon_intro zenon_H112 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H112); [ zenon_intro zenon_H114 | zenon_intro zenon_H113 ]. % 0.86/1.05 exact (zenon_H10e zenon_H114). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H113); [ zenon_intro zenon_H116 | zenon_intro zenon_H115 ]. % 0.86/1.05 exact (zenon_H10f zenon_H116). % 0.86/1.05 exact (zenon_H115 zenon_H110). % 0.86/1.05 (* end of lemma zenon_L72_ *) % 0.86/1.05 assert (zenon_L73_ : (~(hskp27)) -> (hskp27) -> False). % 0.86/1.05 do 0 intro. intros zenon_H117 zenon_H118. % 0.86/1.05 exact (zenon_H117 zenon_H118). % 0.86/1.05 (* end of lemma zenon_L73_ *) % 0.86/1.05 assert (zenon_L74_ : ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp15)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H117 zenon_H5b. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H119); [ zenon_intro zenon_H10d | zenon_intro zenon_H11a ]. % 0.86/1.05 apply (zenon_L72_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H11a); [ zenon_intro zenon_H118 | zenon_intro zenon_H5c ]. % 0.86/1.05 exact (zenon_H117 zenon_H118). % 0.86/1.05 exact (zenon_H5b zenon_H5c). % 0.86/1.05 (* end of lemma zenon_L74_ *) % 0.86/1.05 assert (zenon_L75_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (c1_1 (a137)) -> (c2_1 (a137)) -> (c3_1 (a137)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H11b zenon_Hf zenon_H11c zenon_H11d zenon_H11e zenon_H11f. % 0.86/1.05 generalize (zenon_H11b (a137)). zenon_intro zenon_H120. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_He | zenon_intro zenon_H121 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H123 | zenon_intro zenon_H122 ]. % 0.86/1.05 generalize (zenon_H11c (a137)). zenon_intro zenon_H124. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H124); [ zenon_intro zenon_He | zenon_intro zenon_H125 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H125); [ zenon_intro zenon_H127 | zenon_intro zenon_H126 ]. % 0.86/1.05 exact (zenon_H123 zenon_H127). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H126); [ zenon_intro zenon_H129 | zenon_intro zenon_H128 ]. % 0.86/1.05 exact (zenon_H129 zenon_H11d). % 0.86/1.05 exact (zenon_H128 zenon_H11e). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ]. % 0.86/1.05 exact (zenon_H129 zenon_H11d). % 0.86/1.05 exact (zenon_H12a zenon_H11f). % 0.86/1.05 (* end of lemma zenon_L75_ *) % 0.86/1.05 assert (zenon_L76_ : (~(hskp25)) -> (hskp25) -> False). % 0.86/1.05 do 0 intro. intros zenon_H12b zenon_H12c. % 0.86/1.05 exact (zenon_H12b zenon_H12c). % 0.86/1.05 (* end of lemma zenon_L76_ *) % 0.86/1.05 assert (zenon_L77_ : ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c3_1 (a137)) -> (c2_1 (a137)) -> (c1_1 (a137)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp24)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H12d zenon_H11f zenon_H11e zenon_H11d zenon_H11c zenon_Hf zenon_H12b zenon_H7e. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11b | zenon_intro zenon_H12e ]. % 0.86/1.05 apply (zenon_L75_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12c | zenon_intro zenon_H7f ]. % 0.86/1.05 exact (zenon_H12b zenon_H12c). % 0.86/1.05 exact (zenon_H7e zenon_H7f). % 0.86/1.05 (* end of lemma zenon_L77_ *) % 0.86/1.05 assert (zenon_L78_ : (~(hskp29)) -> (hskp29) -> False). % 0.86/1.05 do 0 intro. intros zenon_H12f zenon_H130. % 0.86/1.05 exact (zenon_H12f zenon_H130). % 0.86/1.05 (* end of lemma zenon_L78_ *) % 0.86/1.05 assert (zenon_L79_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (c0_1 (a150)) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H11b zenon_Hf zenon_H131 zenon_H132 zenon_H133. % 0.86/1.05 generalize (zenon_H11b (a150)). zenon_intro zenon_H134. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H134); [ zenon_intro zenon_He | zenon_intro zenon_H135 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H135); [ zenon_intro zenon_H137 | zenon_intro zenon_H136 ]. % 0.86/1.05 exact (zenon_H137 zenon_H131). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.86/1.05 exact (zenon_H139 zenon_H132). % 0.86/1.05 exact (zenon_H138 zenon_H133). % 0.86/1.05 (* end of lemma zenon_L79_ *) % 0.86/1.05 assert (zenon_L80_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp25)) -> (~(hskp24)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H13a zenon_H12d zenon_H12b zenon_H7e. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11b | zenon_intro zenon_H12e ]. % 0.86/1.05 apply (zenon_L79_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12c | zenon_intro zenon_H7f ]. % 0.86/1.05 exact (zenon_H12b zenon_H12c). % 0.86/1.05 exact (zenon_H7e zenon_H7f). % 0.86/1.05 (* end of lemma zenon_L80_ *) % 0.86/1.05 assert (zenon_L81_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.05 do 0 intro. intros zenon_H13d zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H7e zenon_H12b zenon_H13f. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.05 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.86/1.05 apply (zenon_L50_); trivial. % 0.86/1.05 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.86/1.05 apply (zenon_L77_); trivial. % 0.86/1.05 exact (zenon_H12f zenon_H130). % 0.86/1.05 apply (zenon_L80_); trivial. % 0.86/1.05 (* end of lemma zenon_L81_ *) % 0.86/1.05 assert (zenon_L82_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a192))) -> (~(c3_1 (a192))) -> (c2_1 (a192)) -> False). % 0.86/1.05 do 0 intro. intros zenon_H1b zenon_Hf zenon_H143 zenon_H144 zenon_H145. % 0.86/1.05 generalize (zenon_H1b (a192)). zenon_intro zenon_H146. % 0.86/1.05 apply (zenon_imply_s _ _ zenon_H146); [ zenon_intro zenon_He | zenon_intro zenon_H147 ]. % 0.86/1.05 exact (zenon_He zenon_Hf). % 0.86/1.05 apply (zenon_or_s _ _ zenon_H147); [ zenon_intro zenon_H149 | zenon_intro zenon_H148 ]. % 0.86/1.05 exact (zenon_H143 zenon_H149). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H148); [ zenon_intro zenon_H14b | zenon_intro zenon_H14a ]. % 0.86/1.06 exact (zenon_H144 zenon_H14b). % 0.86/1.06 exact (zenon_H14a zenon_H145). % 0.86/1.06 (* end of lemma zenon_L82_ *) % 0.86/1.06 assert (zenon_L83_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> (~(hskp17)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H14c zenon_H14d zenon_Hcd zenon_Hbf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H14d); [ zenon_intro zenon_H1b | zenon_intro zenon_H150 ]. % 0.86/1.06 apply (zenon_L82_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H150); [ zenon_intro zenon_Hce | zenon_intro zenon_Hc0 ]. % 0.86/1.06 exact (zenon_Hcd zenon_Hce). % 0.86/1.06 exact (zenon_Hbf zenon_Hc0). % 0.86/1.06 (* end of lemma zenon_L83_ *) % 0.86/1.06 assert (zenon_L84_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H7e zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.06 apply (zenon_L74_); trivial. % 0.86/1.06 apply (zenon_L81_); trivial. % 0.86/1.06 apply (zenon_L83_); trivial. % 0.86/1.06 (* end of lemma zenon_L84_ *) % 0.86/1.06 assert (zenon_L85_ : (forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26))))) -> (ndr1_0) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H153 zenon_Hf zenon_H82 zenon_H8c zenon_H83. % 0.86/1.06 generalize (zenon_H153 (a183)). zenon_intro zenon_H154. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H154); [ zenon_intro zenon_He | zenon_intro zenon_H155 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H155); [ zenon_intro zenon_H88 | zenon_intro zenon_H94 ]. % 0.86/1.06 exact (zenon_H82 zenon_H88). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H94); [ zenon_intro zenon_H90 | zenon_intro zenon_H8a ]. % 0.86/1.06 exact (zenon_H8c zenon_H90). % 0.86/1.06 exact (zenon_H83 zenon_H8a). % 0.86/1.06 (* end of lemma zenon_L85_ *) % 0.86/1.06 assert (zenon_L86_ : (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (c1_1 (a137)) -> (c2_1 (a137)) -> (c3_1 (a137)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hf9 zenon_Hf zenon_H11d zenon_H11e zenon_H11f. % 0.86/1.06 generalize (zenon_Hf9 (a137)). zenon_intro zenon_H156. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H156); [ zenon_intro zenon_He | zenon_intro zenon_H157 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H157); [ zenon_intro zenon_H129 | zenon_intro zenon_H158 ]. % 0.86/1.06 exact (zenon_H129 zenon_H11d). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H158); [ zenon_intro zenon_H128 | zenon_intro zenon_H12a ]. % 0.86/1.06 exact (zenon_H128 zenon_H11e). % 0.86/1.06 exact (zenon_H12a zenon_H11f). % 0.86/1.06 (* end of lemma zenon_L86_ *) % 0.86/1.06 assert (zenon_L87_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H13d zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.06 apply (zenon_L50_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L85_); trivial. % 0.86/1.06 apply (zenon_L86_); trivial. % 0.86/1.06 (* end of lemma zenon_L87_ *) % 0.86/1.06 assert (zenon_L88_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.06 apply (zenon_L84_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.06 apply (zenon_L74_); trivial. % 0.86/1.06 apply (zenon_L87_); trivial. % 0.86/1.06 apply (zenon_L56_); trivial. % 0.86/1.06 apply (zenon_L59_); trivial. % 0.86/1.06 (* end of lemma zenon_L88_ *) % 0.86/1.06 assert (zenon_L89_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Ha5 zenon_H3e zenon_H80 zenon_H3b zenon_H39 zenon_Ha3 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L88_); trivial. % 0.86/1.06 apply (zenon_L64_); trivial. % 0.86/1.06 (* end of lemma zenon_L89_ *) % 0.86/1.06 assert (zenon_L90_ : (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (ndr1_0) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H8b zenon_Hf zenon_H15b zenon_H15c zenon_H15d. % 0.86/1.06 generalize (zenon_H8b (a133)). zenon_intro zenon_H15e. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H15e); [ zenon_intro zenon_He | zenon_intro zenon_H15f ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H15f); [ zenon_intro zenon_H161 | zenon_intro zenon_H160 ]. % 0.86/1.06 exact (zenon_H15b zenon_H161). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H160); [ zenon_intro zenon_H163 | zenon_intro zenon_H162 ]. % 0.86/1.06 exact (zenon_H15c zenon_H163). % 0.86/1.06 exact (zenon_H15d zenon_H162). % 0.86/1.06 (* end of lemma zenon_L90_ *) % 0.86/1.06 assert (zenon_L91_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(hskp19)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H164 zenon_H8c zenon_H83 zenon_H82 zenon_H91 zenon_H98 zenon_H97 zenon_Hf zenon_H95 zenon_H6e. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H36 | zenon_intro zenon_H165 ]. % 0.86/1.06 apply (zenon_L42_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H96 | zenon_intro zenon_H6f ]. % 0.86/1.06 apply (zenon_L44_); trivial. % 0.86/1.06 exact (zenon_H6e zenon_H6f). % 0.86/1.06 (* end of lemma zenon_L91_ *) % 0.86/1.06 assert (zenon_L92_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (~(c1_1 (a183))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Ha3 zenon_H6e zenon_Hf zenon_H97 zenon_H98 zenon_H91 zenon_H82 zenon_H83 zenon_H8c zenon_H164 zenon_H39 zenon_H3b. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.86/1.06 apply (zenon_L91_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.86/1.06 exact (zenon_H39 zenon_H3a). % 0.86/1.06 exact (zenon_H3b zenon_H3c). % 0.86/1.06 (* end of lemma zenon_L92_ *) % 0.86/1.06 assert (zenon_L93_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H164 zenon_H6e zenon_Ha3 zenon_H98 zenon_H97 zenon_H39 zenon_H3b. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.86/1.06 apply (zenon_L90_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.86/1.06 apply (zenon_L92_); trivial. % 0.86/1.06 apply (zenon_L45_); trivial. % 0.86/1.06 (* end of lemma zenon_L93_ *) % 0.86/1.06 assert (zenon_L94_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Haa zenon_Ha5 zenon_H164 zenon_H6e zenon_H15d zenon_H15c zenon_H15b zenon_H80 zenon_H3b zenon_H98 zenon_H97 zenon_Hb1 zenon_Hf zenon_H39 zenon_Ha3. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.06 apply (zenon_L63_); trivial. % 0.86/1.06 apply (zenon_L93_); trivial. % 0.86/1.06 (* end of lemma zenon_L94_ *) % 0.86/1.06 assert (zenon_L95_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Had zenon_Hae zenon_H3e zenon_Ha3 zenon_H39 zenon_H3b zenon_H80 zenon_H15b zenon_H15c zenon_H15d zenon_H164 zenon_Ha5 zenon_Haa. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.06 apply (zenon_L94_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.06 apply (zenon_L38_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.86/1.06 apply (zenon_L90_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.86/1.06 apply (zenon_L43_); trivial. % 0.86/1.06 apply (zenon_L45_); trivial. % 0.86/1.06 (* end of lemma zenon_L95_ *) % 0.86/1.06 assert (zenon_L96_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H3e zenon_Ha3 zenon_H39 zenon_H80 zenon_H15b zenon_H15c zenon_H15d zenon_H164 zenon_Ha5 zenon_Haa zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L30_); trivial. % 0.86/1.06 apply (zenon_L95_); trivial. % 0.86/1.06 (* end of lemma zenon_L96_ *) % 0.86/1.06 assert (zenon_L97_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((hskp11)\/(hskp8)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H166 zenon_H167 zenon_H58 zenon_H54 zenon_H51 zenon_H45 zenon_H2c zenon_H2a zenon_H108 zenon_H5d zenon_Haa zenon_Ha5 zenon_H164 zenon_H15d zenon_H15c zenon_H15b zenon_H80 zenon_Ha3 zenon_Hae zenon_Hb2 zenon_H5 zenon_H39 zenon_H3b zenon_H3e zenon_H42. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.86/1.06 apply (zenon_L20_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.06 apply (zenon_L96_); trivial. % 0.86/1.06 apply (zenon_L71_); trivial. % 0.86/1.06 (* end of lemma zenon_L97_ *) % 0.86/1.06 assert (zenon_L98_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a131))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H10 zenon_Hf zenon_H16b zenon_H16c zenon_H16d. % 0.86/1.06 generalize (zenon_H10 (a131)). zenon_intro zenon_H16e. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H16e); [ zenon_intro zenon_He | zenon_intro zenon_H16f ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H16f); [ zenon_intro zenon_H171 | zenon_intro zenon_H170 ]. % 0.86/1.06 exact (zenon_H16b zenon_H171). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H170); [ zenon_intro zenon_H173 | zenon_intro zenon_H172 ]. % 0.86/1.06 exact (zenon_H16c zenon_H173). % 0.86/1.06 exact (zenon_H172 zenon_H16d). % 0.86/1.06 (* end of lemma zenon_L98_ *) % 0.86/1.06 assert (zenon_L99_ : (forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hd5 zenon_Hf zenon_H16c zenon_H10 zenon_H16d zenon_H174. % 0.86/1.06 generalize (zenon_Hd5 (a131)). zenon_intro zenon_H175. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H175); [ zenon_intro zenon_He | zenon_intro zenon_H176 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H176); [ zenon_intro zenon_H173 | zenon_intro zenon_H177 ]. % 0.86/1.06 exact (zenon_H16c zenon_H173). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H177); [ zenon_intro zenon_H16b | zenon_intro zenon_H178 ]. % 0.86/1.06 apply (zenon_L98_); trivial. % 0.86/1.06 exact (zenon_H178 zenon_H174). % 0.86/1.06 (* end of lemma zenon_L99_ *) % 0.86/1.06 assert (zenon_L100_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a131))) -> (ndr1_0) -> False). % 0.86/1.06 do 0 intro. intros zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H10 zenon_H16c zenon_Hf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H5c ]. % 0.86/1.06 apply (zenon_L99_); trivial. % 0.86/1.06 exact (zenon_H5b zenon_H5c). % 0.86/1.06 (* end of lemma zenon_L100_ *) % 0.86/1.06 assert (zenon_L101_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H45 zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H5b zenon_He0 zenon_H43 zenon_H2c. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.06 apply (zenon_L100_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H43 zenon_H44). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 (* end of lemma zenon_L101_ *) % 0.86/1.06 assert (zenon_L102_ : (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H10 zenon_Hf zenon_Ha2 zenon_Hb1 zenon_H98. % 0.86/1.06 generalize (zenon_H10 (a149)). zenon_intro zenon_H179. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H179); [ zenon_intro zenon_He | zenon_intro zenon_H17a ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H17a); [ zenon_intro zenon_H9c | zenon_intro zenon_H17b ]. % 0.86/1.06 exact (zenon_Ha2 zenon_H9c). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha1 ]. % 0.86/1.06 exact (zenon_Hb1 zenon_He6). % 0.86/1.06 exact (zenon_Ha1 zenon_H98). % 0.86/1.06 (* end of lemma zenon_L102_ *) % 0.86/1.06 assert (zenon_L103_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a149)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H74 zenon_Hf zenon_Hb1 zenon_H10 zenon_H98. % 0.86/1.06 generalize (zenon_H74 (a149)). zenon_intro zenon_He4. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_He | zenon_intro zenon_He5 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He6 | zenon_intro zenon_H9f ]. % 0.86/1.06 exact (zenon_Hb1 zenon_He6). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.86/1.06 apply (zenon_L102_); trivial. % 0.86/1.06 exact (zenon_Ha1 zenon_H98). % 0.86/1.06 (* end of lemma zenon_L103_ *) % 0.86/1.06 assert (zenon_L104_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H1b zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_Hbf. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H1a | zenon_intro zenon_H17d ]. % 0.86/1.06 apply (zenon_L10_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H74 | zenon_intro zenon_Hc0 ]. % 0.86/1.06 apply (zenon_L103_); trivial. % 0.86/1.06 exact (zenon_Hbf zenon_Hc0). % 0.86/1.06 (* end of lemma zenon_L104_ *) % 0.86/1.06 assert (zenon_L105_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H45 zenon_Hbf zenon_Hf zenon_Hb1 zenon_H98 zenon_H1b zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H43 zenon_H2c. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.06 apply (zenon_L104_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H43 zenon_H44). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 (* end of lemma zenon_L105_ *) % 0.86/1.06 assert (zenon_L106_ : (~(hskp18)) -> (hskp18) -> False). % 0.86/1.06 do 0 intro. intros zenon_H17e zenon_H17f. % 0.86/1.06 exact (zenon_H17e zenon_H17f). % 0.86/1.06 (* end of lemma zenon_L106_ *) % 0.86/1.06 assert (zenon_L107_ : ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (ndr1_0) -> (~(hskp18)) -> (~(hskp21)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H180 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hf zenon_H17e zenon_H8. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H181 ]. % 0.86/1.06 apply (zenon_L54_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H17f | zenon_intro zenon_H9 ]. % 0.86/1.06 exact (zenon_H17e zenon_H17f). % 0.86/1.06 exact (zenon_H8 zenon_H9). % 0.86/1.06 (* end of lemma zenon_L107_ *) % 0.86/1.06 assert (zenon_L108_ : (forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63)))))) -> (ndr1_0) -> (~(c2_1 (a159))) -> (~(c3_1 (a159))) -> (c0_1 (a159)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1a zenon_Hf zenon_H182 zenon_H183 zenon_H184. % 0.86/1.06 generalize (zenon_H1a (a159)). zenon_intro zenon_H185. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H185); [ zenon_intro zenon_He | zenon_intro zenon_H186 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H186); [ zenon_intro zenon_H188 | zenon_intro zenon_H187 ]. % 0.86/1.06 exact (zenon_H182 zenon_H188). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H187); [ zenon_intro zenon_H18a | zenon_intro zenon_H189 ]. % 0.86/1.06 exact (zenon_H183 zenon_H18a). % 0.86/1.06 exact (zenon_H189 zenon_H184). % 0.86/1.06 (* end of lemma zenon_L108_ *) % 0.86/1.06 assert (zenon_L109_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H18b zenon_H2e zenon_H2a zenon_H2c. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H2e); [ zenon_intro zenon_H1a | zenon_intro zenon_H2f ]. % 0.86/1.06 apply (zenon_L108_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H2f); [ zenon_intro zenon_H2b | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H2a zenon_H2b). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 (* end of lemma zenon_L109_ *) % 0.86/1.06 assert (zenon_L110_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hcf zenon_H18e zenon_H180 zenon_H2e zenon_H2c zenon_H2a zenon_H1e zenon_H1d zenon_H1c zenon_H31 zenon_H35. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.86/1.06 apply (zenon_L107_); trivial. % 0.86/1.06 apply (zenon_L14_); trivial. % 0.86/1.06 apply (zenon_L109_); trivial. % 0.86/1.06 (* end of lemma zenon_L110_ *) % 0.86/1.06 assert (zenon_L111_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hb2 zenon_Hd4 zenon_H18e zenon_H180 zenon_H35 zenon_H18f zenon_H3 zenon_H1c zenon_H1d zenon_H1e zenon_H2a zenon_H2e zenon_H17c zenon_H31 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L101_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.86/1.06 apply (zenon_L13_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.86/1.06 apply (zenon_L103_); trivial. % 0.86/1.06 exact (zenon_H3 zenon_H4). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_L105_); trivial. % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 apply (zenon_L110_); trivial. % 0.86/1.06 (* end of lemma zenon_L111_ *) % 0.86/1.06 assert (zenon_L112_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H42 zenon_H58 zenon_H54 zenon_H51 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H31 zenon_H17c zenon_H2e zenon_H2a zenon_H18f zenon_H35 zenon_H180 zenon_H18e zenon_Hd4 zenon_Hb2 zenon_H3 zenon_H5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.86/1.06 apply (zenon_L3_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.06 apply (zenon_L111_); trivial. % 0.86/1.06 apply (zenon_L26_); trivial. % 0.86/1.06 (* end of lemma zenon_L112_ *) % 0.86/1.06 assert (zenon_L113_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (~(c1_1 (a135))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H191 zenon_Hf zenon_Heb zenon_H192 zenon_Hed zenon_Hec. % 0.86/1.06 generalize (zenon_H191 (a135)). zenon_intro zenon_H193. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H193); [ zenon_intro zenon_He | zenon_intro zenon_H194 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H194); [ zenon_intro zenon_Hf7 | zenon_intro zenon_H195 ]. % 0.86/1.06 exact (zenon_Heb zenon_Hf7). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H195); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf8 ]. % 0.86/1.06 generalize (zenon_H192 (a135)). zenon_intro zenon_H196. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_He | zenon_intro zenon_H197 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf0 ]. % 0.86/1.06 exact (zenon_Hf1 zenon_Hf5). % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf6 ]. % 0.86/1.06 exact (zenon_Hf8 zenon_Hed). % 0.86/1.06 exact (zenon_Hf6 zenon_Hec). % 0.86/1.06 exact (zenon_Hf8 zenon_Hed). % 0.86/1.06 (* end of lemma zenon_L113_ *) % 0.86/1.06 assert (zenon_L114_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H198 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.06 generalize (zenon_H198 (a131)). zenon_intro zenon_H199. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H199); [ zenon_intro zenon_He | zenon_intro zenon_H19a ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19a); [ zenon_intro zenon_H173 | zenon_intro zenon_H19b ]. % 0.86/1.06 exact (zenon_H16c zenon_H173). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H178 | zenon_intro zenon_H172 ]. % 0.86/1.06 exact (zenon_H178 zenon_H174). % 0.86/1.06 exact (zenon_H172 zenon_H16d). % 0.86/1.06 (* end of lemma zenon_L114_ *) % 0.86/1.06 assert (zenon_L115_ : (~(hskp20)) -> (hskp20) -> False). % 0.86/1.06 do 0 intro. intros zenon_H19c zenon_H19d. % 0.86/1.06 exact (zenon_H19c zenon_H19d). % 0.86/1.06 (* end of lemma zenon_L115_ *) % 0.86/1.06 assert (zenon_L116_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c1_1 (a135))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H19e zenon_Hec zenon_Hed zenon_H192 zenon_Heb zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H19c. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H191 | zenon_intro zenon_H19f ]. % 0.86/1.06 apply (zenon_L113_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H198 | zenon_intro zenon_H19d ]. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 exact (zenon_H19c zenon_H19d). % 0.86/1.06 (* end of lemma zenon_L116_ *) % 0.86/1.06 assert (zenon_L117_ : (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (ndr1_0) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1a0 zenon_Hf zenon_H97 zenon_Hb1 zenon_H98. % 0.86/1.06 generalize (zenon_H1a0 (a149)). zenon_intro zenon_H1a1. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1a1); [ zenon_intro zenon_He | zenon_intro zenon_H1a2 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a2); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H17b ]. % 0.86/1.06 exact (zenon_H97 zenon_Ha0). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H17b); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha1 ]. % 0.86/1.06 exact (zenon_Hb1 zenon_He6). % 0.86/1.06 exact (zenon_Ha1 zenon_H98). % 0.86/1.06 (* end of lemma zenon_L117_ *) % 0.86/1.06 assert (zenon_L118_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp20)) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1a3 zenon_H19c zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.06 apply (zenon_L116_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.06 apply (zenon_L117_); trivial. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 (* end of lemma zenon_L118_ *) % 0.86/1.06 assert (zenon_L119_ : (forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29)))))) -> (ndr1_0) -> (~(c2_1 (a168))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c0_1 (a168))) -> (c1_1 (a168)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hc3 zenon_Hf zenon_H1a5 zenon_H10 zenon_H1a6 zenon_H1a7. % 0.86/1.06 generalize (zenon_Hc3 (a168)). zenon_intro zenon_H1a8. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1a8); [ zenon_intro zenon_He | zenon_intro zenon_H1a9 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a9); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1aa ]. % 0.86/1.06 exact (zenon_H1a5 zenon_H1ab). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1aa); [ zenon_intro zenon_H1ad | zenon_intro zenon_H1ac ]. % 0.86/1.06 generalize (zenon_H10 (a168)). zenon_intro zenon_H1ae. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1ae); [ zenon_intro zenon_He | zenon_intro zenon_H1af ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1af); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H1b0 ]. % 0.86/1.06 exact (zenon_H1a6 zenon_H1b1). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1b0); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1b2 ]. % 0.86/1.06 exact (zenon_H1a5 zenon_H1ab). % 0.86/1.06 exact (zenon_H1b2 zenon_H1ad). % 0.86/1.06 exact (zenon_H1ac zenon_H1a7). % 0.86/1.06 (* end of lemma zenon_L119_ *) % 0.86/1.06 assert (zenon_L120_ : (~(hskp28)) -> (hskp28) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1b3 zenon_H1b4. % 0.86/1.06 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.06 (* end of lemma zenon_L120_ *) % 0.86/1.06 assert (zenon_L121_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (c0_1 (a143)) -> (c2_1 (a143)) -> (c3_1 (a143)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hea zenon_Hf zenon_H1b5 zenon_H1b6 zenon_H1b7. % 0.86/1.06 generalize (zenon_Hea (a143)). zenon_intro zenon_H1b8. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1b8); [ zenon_intro zenon_He | zenon_intro zenon_H1b9 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1b9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ba ]. % 0.86/1.06 exact (zenon_H1bb zenon_H1b5). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ba); [ zenon_intro zenon_H1bd | zenon_intro zenon_H1bc ]. % 0.86/1.06 exact (zenon_H1bd zenon_H1b6). % 0.86/1.06 exact (zenon_H1bc zenon_H1b7). % 0.86/1.06 (* end of lemma zenon_L121_ *) % 0.86/1.06 assert (zenon_L122_ : (~(hskp26)) -> (hskp26) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1be zenon_H1bf. % 0.86/1.06 exact (zenon_H1be zenon_H1bf). % 0.86/1.06 (* end of lemma zenon_L122_ *) % 0.86/1.06 assert (zenon_L123_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp27)) -> (~(hskp26)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1c0 zenon_H1c1 zenon_H117 zenon_H1be. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hea | zenon_intro zenon_H1c4 ]. % 0.86/1.06 apply (zenon_L121_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bf ]. % 0.86/1.06 exact (zenon_H117 zenon_H118). % 0.86/1.06 exact (zenon_H1be zenon_H1bf). % 0.86/1.06 (* end of lemma zenon_L123_ *) % 0.86/1.06 assert (zenon_L124_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H192 zenon_Hf zenon_Hea zenon_Hed zenon_Hec. % 0.86/1.06 generalize (zenon_H192 (a135)). zenon_intro zenon_H196. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H196); [ zenon_intro zenon_He | zenon_intro zenon_H197 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H197); [ zenon_intro zenon_Hf5 | zenon_intro zenon_Hf0 ]. % 0.86/1.06 generalize (zenon_Hea (a135)). zenon_intro zenon_Hee. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_Hee); [ zenon_intro zenon_He | zenon_intro zenon_Hef ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hef); [ zenon_intro zenon_Hf1 | zenon_intro zenon_Hf0 ]. % 0.86/1.06 exact (zenon_Hf1 zenon_Hf5). % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf6 ]. % 0.86/1.06 exact (zenon_Hf8 zenon_Hed). % 0.86/1.06 exact (zenon_Hf6 zenon_Hec). % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hf0); [ zenon_intro zenon_Hf8 | zenon_intro zenon_Hf6 ]. % 0.86/1.06 exact (zenon_Hf8 zenon_Hed). % 0.86/1.06 exact (zenon_Hf6 zenon_Hec). % 0.86/1.06 (* end of lemma zenon_L124_ *) % 0.86/1.06 assert (zenon_L125_ : ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (c3_1 (a137)) -> (c2_1 (a137)) -> (c1_1 (a137)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H108 zenon_Hec zenon_Hed zenon_H192 zenon_H11f zenon_H11e zenon_H11d zenon_Hf zenon_H2a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hea | zenon_intro zenon_H109 ]. % 0.86/1.06 apply (zenon_L124_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H2b ]. % 0.86/1.06 apply (zenon_L86_); trivial. % 0.86/1.06 exact (zenon_H2a zenon_H2b). % 0.86/1.06 (* end of lemma zenon_L125_ *) % 0.86/1.06 assert (zenon_L126_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a196))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1b zenon_Hf zenon_H1c5 zenon_H192 zenon_H1c6 zenon_H1c7. % 0.86/1.06 generalize (zenon_H1b (a196)). zenon_intro zenon_H1c8. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_He | zenon_intro zenon_H1c9 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ]. % 0.86/1.06 exact (zenon_H1c5 zenon_H1cb). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cc ]. % 0.86/1.06 generalize (zenon_H192 (a196)). zenon_intro zenon_H1ce. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1ce); [ zenon_intro zenon_He | zenon_intro zenon_H1cf ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1cf); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1d0 ]. % 0.86/1.06 exact (zenon_H1c6 zenon_H1d1). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d0); [ zenon_intro zenon_H1cc | zenon_intro zenon_H1d2 ]. % 0.86/1.06 exact (zenon_H1cc zenon_H1c7). % 0.86/1.06 exact (zenon_H1d2 zenon_H1cd). % 0.86/1.06 exact (zenon_H1cc zenon_H1c7). % 0.86/1.06 (* end of lemma zenon_L126_ *) % 0.86/1.06 assert (zenon_L127_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a196)) -> (~(c0_1 (a196))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c1_1 (a196))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a168))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1d3 zenon_H1c7 zenon_H1c6 zenon_H192 zenon_H1c5 zenon_H1a7 zenon_H1a6 zenon_H10 zenon_H1a5 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.86/1.06 apply (zenon_L126_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.86/1.06 apply (zenon_L119_); trivial. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 (* end of lemma zenon_L127_ *) % 0.86/1.06 assert (zenon_L128_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c2_1 (a168))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c0_1 (a168))) -> (c1_1 (a168)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1a3 zenon_H1a5 zenon_H10 zenon_H1a6 zenon_H1a7 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.06 apply (zenon_L127_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.06 apply (zenon_L117_); trivial. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 (* end of lemma zenon_L128_ *) % 0.86/1.06 assert (zenon_L129_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1d5 zenon_H45 zenon_H16d zenon_H174 zenon_H16c zenon_H97 zenon_Hb1 zenon_H98 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1a3 zenon_H43 zenon_H2c. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.06 apply (zenon_L128_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H43 zenon_H44). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 (* end of lemma zenon_L129_ *) % 0.86/1.06 assert (zenon_L130_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H1a3 zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H180 zenon_H70 zenon_H1da zenon_H108 zenon_H2a zenon_H152 zenon_H35 zenon_H1db zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L101_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.06 apply (zenon_L118_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H10 | zenon_intro zenon_H1df ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H180); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H181 ]. % 0.86/1.06 apply (zenon_L119_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H181); [ zenon_intro zenon_H17f | zenon_intro zenon_H9 ]. % 0.86/1.06 exact (zenon_H17e zenon_H17f). % 0.86/1.06 exact (zenon_H8 zenon_H9). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H71 ]. % 0.86/1.06 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.06 exact (zenon_H70 zenon_H71). % 0.86/1.06 apply (zenon_L123_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.06 apply (zenon_L125_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.06 apply (zenon_L117_); trivial. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 apply (zenon_L129_); trivial. % 0.86/1.06 apply (zenon_L22_); trivial. % 0.86/1.06 apply (zenon_L109_); trivial. % 0.86/1.06 (* end of lemma zenon_L130_ *) % 0.86/1.06 assert (zenon_L131_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H58 zenon_H54 zenon_H51 zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1db zenon_H35 zenon_H152 zenon_H2a zenon_H108 zenon_H1da zenon_H70 zenon_H180 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_H19e zenon_Hec zenon_Hed zenon_Heb zenon_H1a3 zenon_H2e zenon_H18e zenon_Hb2. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.06 apply (zenon_L130_); trivial. % 0.86/1.06 apply (zenon_L26_); trivial. % 0.86/1.06 (* end of lemma zenon_L131_ *) % 0.86/1.06 assert (zenon_L132_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp29)) -> (~(hskp3)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1e0 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H12f zenon_H2c. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e1 ]. % 0.86/1.06 apply (zenon_L50_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H130 | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H12f zenon_H130). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 (* end of lemma zenon_L132_ *) % 0.86/1.06 assert (zenon_L133_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H13e zenon_H12d zenon_H7e zenon_H12b zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.06 apply (zenon_L132_); trivial. % 0.86/1.06 apply (zenon_L80_); trivial. % 0.86/1.06 (* end of lemma zenon_L133_ *) % 0.86/1.06 assert (zenon_L134_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H1e0 zenon_H2c zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H7e zenon_H12d zenon_H13e. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.06 apply (zenon_L133_); trivial. % 0.86/1.06 apply (zenon_L83_); trivial. % 0.86/1.06 (* end of lemma zenon_L134_ *) % 0.86/1.06 assert (zenon_L135_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1a3 zenon_Hec zenon_Hed zenon_Hea zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.06 apply (zenon_L124_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.06 apply (zenon_L117_); trivial. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 (* end of lemma zenon_L135_ *) % 0.86/1.06 assert (zenon_L136_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H97 zenon_Hb1 zenon_H98 zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.06 apply (zenon_L50_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.06 apply (zenon_L135_); trivial. % 0.86/1.06 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.06 (* end of lemma zenon_L136_ *) % 0.86/1.06 assert (zenon_L137_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1d9 zenon_H1c1 zenon_H1be zenon_H117 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.06 apply (zenon_L136_); trivial. % 0.86/1.06 apply (zenon_L123_); trivial. % 0.86/1.06 (* end of lemma zenon_L137_ *) % 0.86/1.06 assert (zenon_L138_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H152 zenon_H159 zenon_H83 zenon_H8c zenon_H82 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H1be zenon_H1c1 zenon_H1d9. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.06 apply (zenon_L137_); trivial. % 0.86/1.06 apply (zenon_L87_); trivial. % 0.86/1.06 (* end of lemma zenon_L138_ *) % 0.86/1.06 assert (zenon_L139_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H45 zenon_H2c zenon_H43 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H159 zenon_H152. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.06 apply (zenon_L138_); trivial. % 0.86/1.06 apply (zenon_L129_); trivial. % 0.86/1.06 (* end of lemma zenon_L139_ *) % 0.86/1.06 assert (zenon_L140_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1dc zenon_Haa zenon_H1d8 zenon_H45 zenon_H43 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.06 apply (zenon_L134_); trivial. % 0.86/1.06 apply (zenon_L139_); trivial. % 0.86/1.06 (* end of lemma zenon_L140_ *) % 0.86/1.06 assert (zenon_L141_ : (~(hskp22)) -> (hskp22) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1e4 zenon_H1e5. % 0.86/1.06 exact (zenon_H1e4 zenon_H1e5). % 0.86/1.06 (* end of lemma zenon_L141_ *) % 0.86/1.06 assert (zenon_L142_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (c2_1 (a143)) -> (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59)))))) -> (c0_1 (a143)) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1e6 zenon_H98 zenon_H10 zenon_Hb1 zenon_H1b6 zenon_H191 zenon_H1b5 zenon_Hf zenon_H1e4. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H74 | zenon_intro zenon_H1e7 ]. % 0.86/1.06 apply (zenon_L103_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H5f | zenon_intro zenon_H1e5 ]. % 0.86/1.06 generalize (zenon_H5f (a143)). zenon_intro zenon_H1e8. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_He | zenon_intro zenon_H1e9 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ea ]. % 0.86/1.06 exact (zenon_H1bb zenon_H1b5). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1bd ]. % 0.86/1.06 generalize (zenon_H191 (a143)). zenon_intro zenon_H1ec. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1ec); [ zenon_intro zenon_He | zenon_intro zenon_H1ed ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ed); [ zenon_intro zenon_H1ef | zenon_intro zenon_H1ee ]. % 0.86/1.06 exact (zenon_H1eb zenon_H1ef). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ee); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1bd ]. % 0.86/1.06 exact (zenon_H1bb zenon_H1b5). % 0.86/1.06 exact (zenon_H1bd zenon_H1b6). % 0.86/1.06 exact (zenon_H1bd zenon_H1b6). % 0.86/1.06 exact (zenon_H1e4 zenon_H1e5). % 0.86/1.06 (* end of lemma zenon_L142_ *) % 0.86/1.06 assert (zenon_L143_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp22)) -> (c0_1 (a143)) -> (c2_1 (a143)) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp20)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H19e zenon_H1e4 zenon_H1b5 zenon_H1b6 zenon_Hb1 zenon_H10 zenon_H98 zenon_H1e6 zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H19c. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H191 | zenon_intro zenon_H19f ]. % 0.86/1.06 apply (zenon_L142_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H198 | zenon_intro zenon_H19d ]. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 exact (zenon_H19c zenon_H19d). % 0.86/1.06 (* end of lemma zenon_L143_ *) % 0.86/1.06 assert (zenon_L144_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp20)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(hskp22)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1c0 zenon_H45 zenon_H19c zenon_H16c zenon_H174 zenon_H16d zenon_H1e6 zenon_H98 zenon_Hb1 zenon_H1e4 zenon_H19e zenon_H43 zenon_H2c. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.06 apply (zenon_L143_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H43 zenon_H44). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 (* end of lemma zenon_L144_ *) % 0.86/1.06 assert (zenon_L145_ : (forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59)))))) -> (ndr1_0) -> (~(c1_1 (a179))) -> (c0_1 (a179)) -> (c2_1 (a179)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H191 zenon_Hf zenon_H1f0 zenon_H1f1 zenon_H1f2. % 0.86/1.06 generalize (zenon_H191 (a179)). zenon_intro zenon_H1f3. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1f3); [ zenon_intro zenon_He | zenon_intro zenon_H1f4 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1f4); [ zenon_intro zenon_H1f6 | zenon_intro zenon_H1f5 ]. % 0.86/1.06 exact (zenon_H1f0 zenon_H1f6). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1f5); [ zenon_intro zenon_H1f8 | zenon_intro zenon_H1f7 ]. % 0.86/1.06 exact (zenon_H1f8 zenon_H1f1). % 0.86/1.06 exact (zenon_H1f7 zenon_H1f2). % 0.86/1.06 (* end of lemma zenon_L145_ *) % 0.86/1.06 assert (zenon_L146_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp20)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1f9 zenon_H19e zenon_H16d zenon_H174 zenon_H16c zenon_H19c. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H191 | zenon_intro zenon_H19f ]. % 0.86/1.06 apply (zenon_L145_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H198 | zenon_intro zenon_H19d ]. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 exact (zenon_H19c zenon_H19d). % 0.86/1.06 (* end of lemma zenon_L146_ *) % 0.86/1.06 assert (zenon_L147_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H19e zenon_H19c zenon_H1e6 zenon_H43 zenon_H2c zenon_H45 zenon_H1d9. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.06 apply (zenon_L136_); trivial. % 0.86/1.06 apply (zenon_L144_); trivial. % 0.86/1.06 apply (zenon_L146_); trivial. % 0.86/1.06 (* end of lemma zenon_L147_ *) % 0.86/1.06 assert (zenon_L148_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a192)) -> (~(c3_1 (a192))) -> (~(c1_1 (a192))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H13d zenon_H1fd zenon_H145 zenon_H144 zenon_H143 zenon_Hd8 zenon_Hd7 zenon_Hd6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b | zenon_intro zenon_H1fe ]. % 0.86/1.06 apply (zenon_L82_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L58_); trivial. % 0.86/1.06 apply (zenon_L86_); trivial. % 0.86/1.06 (* end of lemma zenon_L148_ *) % 0.86/1.06 assert (zenon_L149_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H14c zenon_H1d8 zenon_H45 zenon_H2c zenon_H43 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H152. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.06 apply (zenon_L137_); trivial. % 0.86/1.06 apply (zenon_L148_); trivial. % 0.86/1.06 apply (zenon_L129_); trivial. % 0.86/1.06 (* end of lemma zenon_L149_ *) % 0.86/1.06 assert (zenon_L150_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H151 zenon_H1d8 zenon_H45 zenon_H43 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H152 zenon_H1e0 zenon_H2c zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H7e zenon_H12d zenon_H13e. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.06 apply (zenon_L133_); trivial. % 0.86/1.06 apply (zenon_L149_); trivial. % 0.86/1.06 (* end of lemma zenon_L150_ *) % 0.86/1.06 assert (zenon_L151_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hdf zenon_H1db zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_H1e0 zenon_H152 zenon_H1fd zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_H151 zenon_H1d9 zenon_H45 zenon_H2c zenon_H43 zenon_H1e6 zenon_H19e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H1fc. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.06 apply (zenon_L147_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.06 apply (zenon_L150_); trivial. % 0.86/1.06 apply (zenon_L139_); trivial. % 0.86/1.06 (* end of lemma zenon_L151_ *) % 0.86/1.06 assert (zenon_L152_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1fd zenon_H1e6 zenon_H1fc zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H1e2 zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1e0 zenon_H14d zenon_H151 zenon_H19e zenon_Hec zenon_Hed zenon_Heb zenon_H1a3 zenon_Hd0 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L101_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.06 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.06 apply (zenon_L118_); trivial. % 0.86/1.06 apply (zenon_L140_); trivial. % 0.86/1.06 apply (zenon_L56_); trivial. % 0.86/1.06 apply (zenon_L151_); trivial. % 0.86/1.06 (* end of lemma zenon_L152_ *) % 0.86/1.06 assert (zenon_L153_ : ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp24)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1ff zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H39 zenon_H7e. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ff); [ zenon_intro zenon_H198 | zenon_intro zenon_H200 ]. % 0.86/1.06 apply (zenon_L114_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H200); [ zenon_intro zenon_H3a | zenon_intro zenon_H7f ]. % 0.86/1.06 exact (zenon_H39 zenon_H3a). % 0.86/1.06 exact (zenon_H7e zenon_H7f). % 0.86/1.06 (* end of lemma zenon_L153_ *) % 0.86/1.06 assert (zenon_L154_ : (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(c0_1 (a196))) -> (~(c1_1 (a196))) -> (c3_1 (a196)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H95 zenon_Hf zenon_H1c6 zenon_H1c5 zenon_H1cd. % 0.86/1.06 generalize (zenon_H95 (a196)). zenon_intro zenon_H201. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H201); [ zenon_intro zenon_He | zenon_intro zenon_H202 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H202); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H203 ]. % 0.86/1.06 exact (zenon_H1c6 zenon_H1d1). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H203); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1d2 ]. % 0.86/1.06 exact (zenon_H1c5 zenon_H1cb). % 0.86/1.06 exact (zenon_H1d2 zenon_H1cd). % 0.86/1.06 (* end of lemma zenon_L154_ *) % 0.86/1.06 assert (zenon_L155_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a196))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a196))) -> (c2_1 (a196)) -> False). % 0.86/1.06 do 0 intro. intros zenon_Hb3 zenon_Hf zenon_H1c6 zenon_H95 zenon_H1c5 zenon_H1c7. % 0.86/1.06 generalize (zenon_Hb3 (a196)). zenon_intro zenon_H204. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H204); [ zenon_intro zenon_He | zenon_intro zenon_H205 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H205); [ zenon_intro zenon_H1d1 | zenon_intro zenon_H1ca ]. % 0.86/1.06 exact (zenon_H1c6 zenon_H1d1). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cc ]. % 0.86/1.06 apply (zenon_L154_); trivial. % 0.86/1.06 exact (zenon_H1cc zenon_H1c7). % 0.86/1.06 (* end of lemma zenon_L155_ *) % 0.86/1.06 assert (zenon_L156_ : (~(hskp0)) -> (hskp0) -> False). % 0.86/1.06 do 0 intro. intros zenon_H206 zenon_H207. % 0.86/1.06 exact (zenon_H206 zenon_H207). % 0.86/1.06 (* end of lemma zenon_L156_ *) % 0.86/1.06 assert (zenon_L157_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp3)) -> (~(hskp29)) -> (ndr1_0) -> (~(c0_1 (a196))) -> (~(c1_1 (a196))) -> (c2_1 (a196)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp0)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H2c zenon_H12f zenon_Hf zenon_H1c6 zenon_H1c5 zenon_H1c7 zenon_H1e0 zenon_H206. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.06 apply (zenon_L24_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e1 ]. % 0.86/1.06 apply (zenon_L155_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H130 | zenon_intro zenon_H2d ]. % 0.86/1.06 exact (zenon_H12f zenon_H130). % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 exact (zenon_H206 zenon_H207). % 0.86/1.06 (* end of lemma zenon_L157_ *) % 0.86/1.06 assert (zenon_L158_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H198 zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 0.86/1.06 generalize (zenon_H198 (a150)). zenon_intro zenon_H20a. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H20a); [ zenon_intro zenon_He | zenon_intro zenon_H20b ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H20b); [ zenon_intro zenon_H20c | zenon_intro zenon_H136 ]. % 0.86/1.06 generalize (zenon_Hf9 (a150)). zenon_intro zenon_H20d. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H20d); [ zenon_intro zenon_He | zenon_intro zenon_H20e ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H20e); [ zenon_intro zenon_H139 | zenon_intro zenon_H20f ]. % 0.86/1.06 exact (zenon_H139 zenon_H132). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H20f); [ zenon_intro zenon_H210 | zenon_intro zenon_H138 ]. % 0.86/1.06 exact (zenon_H210 zenon_H20c). % 0.86/1.06 exact (zenon_H138 zenon_H133). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H136); [ zenon_intro zenon_H139 | zenon_intro zenon_H138 ]. % 0.86/1.06 exact (zenon_H139 zenon_H132). % 0.86/1.06 exact (zenon_H138 zenon_H133). % 0.86/1.06 (* end of lemma zenon_L158_ *) % 0.86/1.06 assert (zenon_L159_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c2_1 (a168))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c0_1 (a168))) -> (c1_1 (a168)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H1a5 zenon_H10 zenon_H1a6 zenon_H1a7 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H132 zenon_H133. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.06 apply (zenon_L50_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.06 apply (zenon_L85_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.06 apply (zenon_L127_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.06 apply (zenon_L117_); trivial. % 0.86/1.06 apply (zenon_L158_); trivial. % 0.86/1.06 (* end of lemma zenon_L159_ *) % 0.86/1.06 assert (zenon_L160_ : (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (ndr1_0) -> (~(c1_1 (a196))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> False). % 0.86/1.06 do 0 intro. intros zenon_H1b zenon_Hf zenon_H1c5 zenon_H95 zenon_H1c6 zenon_H1c7. % 0.86/1.06 generalize (zenon_H1b (a196)). zenon_intro zenon_H1c8. % 0.86/1.06 apply (zenon_imply_s _ _ zenon_H1c8); [ zenon_intro zenon_He | zenon_intro zenon_H1c9 ]. % 0.86/1.06 exact (zenon_He zenon_Hf). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1c9); [ zenon_intro zenon_H1cb | zenon_intro zenon_H1ca ]. % 0.86/1.06 exact (zenon_H1c5 zenon_H1cb). % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1ca); [ zenon_intro zenon_H1cd | zenon_intro zenon_H1cc ]. % 0.86/1.06 apply (zenon_L154_); trivial. % 0.86/1.06 exact (zenon_H1cc zenon_H1c7). % 0.86/1.06 (* end of lemma zenon_L160_ *) % 0.86/1.06 assert (zenon_L161_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_Had zenon_H1db zenon_Haa zenon_H1d8 zenon_H13e zenon_H1d3 zenon_H31 zenon_H48 zenon_H49 zenon_H4a zenon_H1e0 zenon_H2c zenon_H206 zenon_H208 zenon_H1d9 zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1e2 zenon_H159 zenon_H152 zenon_H39 zenon_H1ff zenon_H19e zenon_H16d zenon_H174 zenon_H16c zenon_Hec zenon_Hed zenon_Heb zenon_H1a3. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.06 apply (zenon_L118_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.06 apply (zenon_L153_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.06 apply (zenon_L138_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.06 apply (zenon_L157_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.06 apply (zenon_L24_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.06 apply (zenon_L159_); trivial. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.06 apply (zenon_L160_); trivial. % 0.86/1.06 exact (zenon_H2c zenon_H2d). % 0.86/1.06 exact (zenon_H206 zenon_H207). % 0.86/1.06 (* end of lemma zenon_L161_ *) % 0.86/1.06 assert (zenon_L162_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_He7 zenon_H58 zenon_H31 zenon_H206 zenon_H208 zenon_H39 zenon_H1ff zenon_Hbd zenon_Hc1 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_Hd0 zenon_H1a3 zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_H1e2 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1fc zenon_H1e6 zenon_H1fd zenon_He3 zenon_Hb2. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.06 apply (zenon_L152_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L60_); trivial. % 0.86/1.06 apply (zenon_L161_); trivial. % 0.86/1.06 (* end of lemma zenon_L162_ *) % 0.86/1.06 assert (zenon_L163_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((hskp11)\/(hskp8)) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H166 zenon_H211 zenon_H206 zenon_H208 zenon_H39 zenon_H1ff zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H159 zenon_H1e2 zenon_Haa zenon_H1fc zenon_H1e6 zenon_H1fd zenon_He3 zenon_H1a3 zenon_H19e zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H1da zenon_H108 zenon_H152 zenon_H1db zenon_H5 zenon_Hb2 zenon_Hd4 zenon_H18e zenon_H180 zenon_H35 zenon_H18f zenon_H2a zenon_H2e zenon_H17c zenon_H31 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H51 zenon_H54 zenon_H58 zenon_H42. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.86/1.06 apply (zenon_L112_); trivial. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.06 apply (zenon_L131_); trivial. % 0.86/1.06 apply (zenon_L162_); trivial. % 0.86/1.06 (* end of lemma zenon_L163_ *) % 0.86/1.06 assert (zenon_L164_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H1db zenon_H1d8 zenon_H1d3 zenon_H31 zenon_H1e0 zenon_H2c zenon_H206 zenon_H208 zenon_H1d9 zenon_H1c1 zenon_H1e2 zenon_H39 zenon_H1ff zenon_H19e zenon_H16d zenon_H174 zenon_H16c zenon_Hec zenon_Hed zenon_Heb zenon_H1a3 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.06 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.06 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.06 apply (zenon_L88_); trivial. % 0.86/1.06 apply (zenon_L161_); trivial. % 0.86/1.06 (* end of lemma zenon_L164_ *) % 0.86/1.06 assert (zenon_L165_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.06 do 0 intro. intros zenon_He7 zenon_H58 zenon_H31 zenon_H206 zenon_H208 zenon_H39 zenon_H1ff zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_Hd0 zenon_H1a3 zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_H1e2 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1fc zenon_H1e6 zenon_H1fd zenon_He3 zenon_Hb2. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.06 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.06 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.06 apply (zenon_L152_); trivial. % 0.86/1.07 apply (zenon_L164_); trivial. % 0.86/1.07 (* end of lemma zenon_L165_ *) % 0.86/1.07 assert (zenon_L166_ : (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(c0_1 (a130))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb3 zenon_Hf zenon_H212 zenon_H213 zenon_H214. % 0.86/1.07 generalize (zenon_Hb3 (a130)). zenon_intro zenon_H215. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H215); [ zenon_intro zenon_He | zenon_intro zenon_H216 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H216); [ zenon_intro zenon_H218 | zenon_intro zenon_H217 ]. % 0.86/1.07 exact (zenon_H212 zenon_H218). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H217); [ zenon_intro zenon_H21a | zenon_intro zenon_H219 ]. % 0.86/1.07 exact (zenon_H213 zenon_H21a). % 0.86/1.07 exact (zenon_H219 zenon_H214). % 0.86/1.07 (* end of lemma zenon_L166_ *) % 0.86/1.07 assert (zenon_L167_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H5f zenon_Hf zenon_Hb3 zenon_H213 zenon_H214 zenon_H21b. % 0.86/1.07 generalize (zenon_H5f (a130)). zenon_intro zenon_H21c. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H21c); [ zenon_intro zenon_He | zenon_intro zenon_H21d ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H21d); [ zenon_intro zenon_H212 | zenon_intro zenon_H21e ]. % 0.86/1.07 apply (zenon_L166_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21f | zenon_intro zenon_H219 ]. % 0.86/1.07 exact (zenon_H21f zenon_H21b). % 0.86/1.07 exact (zenon_H219 zenon_H214). % 0.86/1.07 (* end of lemma zenon_L167_ *) % 0.86/1.07 assert (zenon_L168_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_Hb3 zenon_Hf zenon_H70. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 0.86/1.07 generalize (zenon_H222 (a130)). zenon_intro zenon_H223. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_He | zenon_intro zenon_H224 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21a | zenon_intro zenon_H225 ]. % 0.86/1.07 exact (zenon_H213 zenon_H21a). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H212 | zenon_intro zenon_H21f ]. % 0.86/1.07 apply (zenon_L166_); trivial. % 0.86/1.07 exact (zenon_H21f zenon_H21b). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5f | zenon_intro zenon_H71 ]. % 0.86/1.07 apply (zenon_L167_); trivial. % 0.86/1.07 exact (zenon_H70 zenon_H71). % 0.86/1.07 (* end of lemma zenon_L168_ *) % 0.86/1.07 assert (zenon_L169_ : (~(hskp10)) -> (hskp10) -> False). % 0.86/1.07 do 0 intro. intros zenon_H226 zenon_H227. % 0.86/1.07 exact (zenon_H226 zenon_H227). % 0.86/1.07 (* end of lemma zenon_L169_ *) % 0.86/1.07 assert (zenon_L170_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H211 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H6 zenon_H226 zenon_H228. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H229 ]. % 0.86/1.07 apply (zenon_L168_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H7 | zenon_intro zenon_H227 ]. % 0.86/1.07 exact (zenon_H6 zenon_H7). % 0.86/1.07 exact (zenon_H226 zenon_H227). % 0.86/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H229 ]. % 0.86/1.07 apply (zenon_L50_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H7 | zenon_intro zenon_H227 ]. % 0.86/1.07 exact (zenon_H6 zenon_H7). % 0.86/1.07 exact (zenon_H226 zenon_H227). % 0.86/1.07 (* end of lemma zenon_L170_ *) % 0.86/1.07 assert (zenon_L171_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H74 zenon_Hf zenon_Hea zenon_H22a zenon_H22b. % 0.86/1.07 generalize (zenon_H74 (a138)). zenon_intro zenon_H22c. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H22c); [ zenon_intro zenon_He | zenon_intro zenon_H22d ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H22d); [ zenon_intro zenon_H22f | zenon_intro zenon_H22e ]. % 0.86/1.07 generalize (zenon_Hea (a138)). zenon_intro zenon_H230. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H230); [ zenon_intro zenon_He | zenon_intro zenon_H231 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 0.86/1.07 exact (zenon_H233 zenon_H22a). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ]. % 0.86/1.07 exact (zenon_H235 zenon_H22f). % 0.86/1.07 exact (zenon_H234 zenon_H22b). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H22e); [ zenon_intro zenon_H233 | zenon_intro zenon_H234 ]. % 0.86/1.07 exact (zenon_H233 zenon_H22a). % 0.86/1.07 exact (zenon_H234 zenon_H22b). % 0.86/1.07 (* end of lemma zenon_L171_ *) % 0.86/1.07 assert (zenon_L172_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp17)) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a149)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H18f zenon_Hbf zenon_Hb1 zenon_H10 zenon_H98 zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_H3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.86/1.07 apply (zenon_L104_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.86/1.07 apply (zenon_L171_); trivial. % 0.86/1.07 exact (zenon_H3 zenon_H4). % 0.86/1.07 (* end of lemma zenon_L172_ *) % 0.86/1.07 assert (zenon_L173_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(hskp8)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H31 zenon_H1b3 zenon_H18f zenon_H22b zenon_H22a zenon_H3 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H70 zenon_H1e2 zenon_H43 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_Hb1 zenon_Hf zenon_Hbf zenon_H45 zenon_H2c. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.07 apply (zenon_L168_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.07 apply (zenon_L172_); trivial. % 0.86/1.07 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L105_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L173_ *) % 0.86/1.07 assert (zenon_L174_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (~(c3_1 (a130))) -> (ndr1_0) -> False). % 0.86/1.07 do 0 intro. intros zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H11c zenon_H213 zenon_Hf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H222 | zenon_intro zenon_H5a ]. % 0.86/1.07 generalize (zenon_H222 (a130)). zenon_intro zenon_H223. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H223); [ zenon_intro zenon_He | zenon_intro zenon_H224 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H224); [ zenon_intro zenon_H21a | zenon_intro zenon_H225 ]. % 0.86/1.07 exact (zenon_H213 zenon_H21a). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H225); [ zenon_intro zenon_H212 | zenon_intro zenon_H21f ]. % 0.86/1.07 generalize (zenon_H11c (a130)). zenon_intro zenon_H237. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H237); [ zenon_intro zenon_He | zenon_intro zenon_H238 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H238); [ zenon_intro zenon_H218 | zenon_intro zenon_H21e ]. % 0.86/1.07 exact (zenon_H212 zenon_H218). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H21e); [ zenon_intro zenon_H21f | zenon_intro zenon_H219 ]. % 0.86/1.07 exact (zenon_H21f zenon_H21b). % 0.86/1.07 exact (zenon_H219 zenon_H214). % 0.86/1.07 exact (zenon_H21f zenon_H21b). % 0.86/1.07 exact (zenon_H59 zenon_H5a). % 0.86/1.07 (* end of lemma zenon_L174_ *) % 0.86/1.07 assert (zenon_L175_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp18)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1c0 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H17e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H11c | zenon_intro zenon_H23a ]. % 0.86/1.07 apply (zenon_L174_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_Hea | zenon_intro zenon_H17f ]. % 0.86/1.07 apply (zenon_L121_); trivial. % 0.86/1.07 exact (zenon_H17e zenon_H17f). % 0.86/1.07 (* end of lemma zenon_L175_ *) % 0.86/1.07 assert (zenon_L176_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hcf zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H43 zenon_H2c zenon_H45 zenon_H35. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.86/1.07 apply (zenon_L107_); trivial. % 0.86/1.07 apply (zenon_L22_); trivial. % 0.86/1.07 apply (zenon_L109_); trivial. % 0.86/1.07 (* end of lemma zenon_L176_ *) % 0.86/1.07 assert (zenon_L177_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb2 zenon_Hd4 zenon_H180 zenon_H35 zenon_H1d9 zenon_H239 zenon_H236 zenon_H1e2 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H2a zenon_H2e zenon_H18e zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L30_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.07 apply (zenon_L173_); trivial. % 0.86/1.07 apply (zenon_L175_); trivial. % 0.86/1.07 apply (zenon_L109_); trivial. % 0.86/1.07 apply (zenon_L176_); trivial. % 0.86/1.07 (* end of lemma zenon_L177_ *) % 0.86/1.07 assert (zenon_L178_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H58 zenon_H54 zenon_H51 zenon_H5d zenon_H3b zenon_H59 zenon_H18e zenon_H2e zenon_H2a zenon_H31 zenon_H2c zenon_H45 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H1e2 zenon_H236 zenon_H239 zenon_H1d9 zenon_H35 zenon_H180 zenon_Hd4 zenon_Hb2. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.07 apply (zenon_L177_); trivial. % 0.86/1.07 apply (zenon_L26_); trivial. % 0.86/1.07 (* end of lemma zenon_L178_ *) % 0.86/1.07 assert (zenon_L179_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp28)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(hskp8)) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp17)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H31 zenon_H1b3 zenon_H18f zenon_H22b zenon_H22a zenon_H3 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1e2 zenon_H43 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_Hb1 zenon_Hf zenon_Hbf zenon_H45 zenon_H2c. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.07 apply (zenon_L50_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.07 apply (zenon_L172_); trivial. % 0.86/1.07 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L105_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L179_ *) % 0.86/1.07 assert (zenon_L180_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Had zenon_Hd4 zenon_H180 zenon_H35 zenon_H1d9 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H2a zenon_H2e zenon_H18e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.07 apply (zenon_L179_); trivial. % 0.86/1.07 apply (zenon_L175_); trivial. % 0.86/1.07 apply (zenon_L109_); trivial. % 0.86/1.07 apply (zenon_L110_); trivial. % 0.86/1.07 (* end of lemma zenon_L180_ *) % 0.86/1.07 assert (zenon_L181_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb2 zenon_H180 zenon_H35 zenon_H1d9 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H2a zenon_H2e zenon_H18e zenon_Hd4 zenon_Hd0 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L60_); trivial. % 0.86/1.07 apply (zenon_L180_); trivial. % 0.86/1.07 (* end of lemma zenon_L181_ *) % 0.86/1.07 assert (zenon_L182_ : ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_Hb3 zenon_Hf zenon_H6e zenon_H70. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5f | zenon_intro zenon_H73 ]. % 0.86/1.07 apply (zenon_L167_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6f | zenon_intro zenon_H71 ]. % 0.86/1.07 exact (zenon_H6e zenon_H6f). % 0.86/1.07 exact (zenon_H70 zenon_H71). % 0.86/1.07 (* end of lemma zenon_L182_ *) % 0.86/1.07 assert (zenon_L183_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp13)) -> (~(hskp19)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp7)) -> (~(hskp17)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hc1 zenon_H70 zenon_H6e zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_Hbd zenon_Hbf. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hc1); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hc2 ]. % 0.86/1.07 apply (zenon_L182_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hc2); [ zenon_intro zenon_Hbe | zenon_intro zenon_Hc0 ]. % 0.86/1.07 exact (zenon_Hbd zenon_Hbe). % 0.86/1.07 exact (zenon_Hbf zenon_Hc0). % 0.86/1.07 (* end of lemma zenon_L183_ *) % 0.86/1.07 assert (zenon_L184_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H159 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H83 zenon_H8c zenon_H82 zenon_H10 zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.07 apply (zenon_L168_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L85_); trivial. % 0.86/1.07 apply (zenon_L68_); trivial. % 0.86/1.07 (* end of lemma zenon_L184_ *) % 0.86/1.07 assert (zenon_L185_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Ha4 zenon_H45 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H70 zenon_H159 zenon_H43 zenon_H2c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.07 apply (zenon_L184_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.07 exact (zenon_H43 zenon_H44). % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L185_ *) % 0.86/1.07 assert (zenon_L186_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H45 zenon_H2c zenon_H43 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H3b zenon_H80. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.07 apply (zenon_L38_); trivial. % 0.86/1.07 apply (zenon_L185_); trivial. % 0.86/1.07 (* end of lemma zenon_L186_ *) % 0.86/1.07 assert (zenon_L187_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp13)) -> (~(hskp19)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (ndr1_0) -> (~(hskp16)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hd0 zenon_H70 zenon_H6e zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hf zenon_Hcd. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hd3 ]. % 0.86/1.07 apply (zenon_L182_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hce ]. % 0.86/1.07 apply (zenon_L54_); trivial. % 0.86/1.07 exact (zenon_Hcd zenon_Hce). % 0.86/1.07 (* end of lemma zenon_L187_ *) % 0.86/1.07 assert (zenon_L188_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hcf zenon_Hae zenon_Haa zenon_H45 zenon_H2c zenon_H43 zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hcd zenon_Hd0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.07 apply (zenon_L187_); trivial. % 0.86/1.07 apply (zenon_L186_); trivial. % 0.86/1.07 (* end of lemma zenon_L188_ *) % 0.86/1.07 assert (zenon_L189_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_Hae zenon_Haa zenon_H45 zenon_H2c zenon_H43 zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4. % 0.86/1.07 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.07 apply (zenon_L183_); trivial. % 0.86/1.07 apply (zenon_L186_); trivial. % 0.86/1.07 apply (zenon_L188_); trivial. % 0.86/1.07 apply (zenon_L59_); trivial. % 0.86/1.07 (* end of lemma zenon_L189_ *) % 0.86/1.07 assert (zenon_L190_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H80 zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_H3b zenon_H7e. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H74 | zenon_intro zenon_H81 ]. % 0.86/1.07 apply (zenon_L103_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3c | zenon_intro zenon_H7f ]. % 0.86/1.07 exact (zenon_H3b zenon_H3c). % 0.86/1.07 exact (zenon_H7e zenon_H7f). % 0.86/1.07 (* end of lemma zenon_L190_ *) % 0.86/1.07 assert (zenon_L191_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp24)) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H45 zenon_H7e zenon_H3b zenon_Hf zenon_Hb1 zenon_H98 zenon_H80 zenon_H43 zenon_H2c. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.07 apply (zenon_L190_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.07 exact (zenon_H43 zenon_H44). % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L191_ *) % 0.86/1.07 assert (zenon_L192_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Had zenon_Haa zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.07 apply (zenon_L191_); trivial. % 0.86/1.07 apply (zenon_L185_); trivial. % 0.86/1.07 (* end of lemma zenon_L192_ *) % 0.86/1.07 assert (zenon_L193_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb2 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H43 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L189_); trivial. % 0.86/1.07 apply (zenon_L192_); trivial. % 0.86/1.07 (* end of lemma zenon_L193_ *) % 0.86/1.07 assert (zenon_L194_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a192)) -> (~(c3_1 (a192))) -> (~(c1_1 (a192))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1fd zenon_H145 zenon_H144 zenon_H143 zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H10 zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b | zenon_intro zenon_H1fe ]. % 0.86/1.07 apply (zenon_L82_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L58_); trivial. % 0.86/1.07 apply (zenon_L68_); trivial. % 0.86/1.07 (* end of lemma zenon_L194_ *) % 0.86/1.07 assert (zenon_L195_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H14c zenon_H31 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H2c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_L194_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L82_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L195_ *) % 0.86/1.07 assert (zenon_L196_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H151 zenon_H31 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H103 zenon_Hfa zenon_Hfc zenon_H1fd zenon_H1e0 zenon_H2c zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H7e zenon_H12d zenon_H13e. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.07 apply (zenon_L133_); trivial. % 0.86/1.07 apply (zenon_L195_); trivial. % 0.86/1.07 (* end of lemma zenon_L196_ *) % 0.86/1.07 assert (zenon_L197_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (~(hskp7)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13a zenon_H23b zenon_H83 zenon_H8c zenon_H82 zenon_Hbd. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H153 | zenon_intro zenon_H23c ]. % 0.86/1.07 apply (zenon_L85_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H11b | zenon_intro zenon_Hbe ]. % 0.86/1.07 apply (zenon_L79_); trivial. % 0.86/1.07 exact (zenon_Hbd zenon_Hbe). % 0.86/1.07 (* end of lemma zenon_L197_ *) % 0.86/1.07 assert (zenon_L198_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_He7 zenon_He3 zenon_Haa zenon_H23b zenon_H13e zenon_H12d zenon_H2c zenon_H1e0 zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H31 zenon_H151 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.07 apply (zenon_L57_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.07 apply (zenon_L196_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L132_); trivial. % 0.86/1.07 apply (zenon_L197_); trivial. % 0.86/1.07 (* end of lemma zenon_L198_ *) % 0.86/1.07 assert (zenon_L199_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H10a zenon_H211 zenon_H23b zenon_H13e zenon_H12d zenon_H1e0 zenon_H1fd zenon_H31 zenon_H151 zenon_Hb2 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_H220 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H2a zenon_H51 zenon_H54 zenon_H58. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.07 apply (zenon_L193_); trivial. % 0.86/1.07 apply (zenon_L26_); trivial. % 0.86/1.07 apply (zenon_L198_); trivial. % 0.86/1.07 (* end of lemma zenon_L199_ *) % 0.86/1.07 assert (zenon_L200_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a136)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H5f zenon_Hf zenon_H60 zenon_H1b zenon_H61 zenon_H62. % 0.86/1.07 generalize (zenon_H5f (a136)). zenon_intro zenon_H63. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H63); [ zenon_intro zenon_He | zenon_intro zenon_H64 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H64); [ zenon_intro zenon_H66 | zenon_intro zenon_H65 ]. % 0.86/1.07 exact (zenon_H66 zenon_H60). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H65); [ zenon_intro zenon_H68 | zenon_intro zenon_H67 ]. % 0.86/1.07 generalize (zenon_H1b (a136)). zenon_intro zenon_H23d. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H23d); [ zenon_intro zenon_He | zenon_intro zenon_H23e ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H23e); [ zenon_intro zenon_H6c | zenon_intro zenon_H23f ]. % 0.86/1.07 exact (zenon_H68 zenon_H6c). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H23f); [ zenon_intro zenon_H6d | zenon_intro zenon_H67 ]. % 0.86/1.07 exact (zenon_H61 zenon_H6d). % 0.86/1.07 exact (zenon_H67 zenon_H62). % 0.86/1.07 exact (zenon_H67 zenon_H62). % 0.86/1.07 (* end of lemma zenon_L200_ *) % 0.86/1.07 assert (zenon_L201_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1e6 zenon_H98 zenon_H10 zenon_Hb1 zenon_H62 zenon_H61 zenon_H1b zenon_H60 zenon_Hf zenon_H1e4. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H74 | zenon_intro zenon_H1e7 ]. % 0.86/1.07 apply (zenon_L103_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H5f | zenon_intro zenon_H1e5 ]. % 0.86/1.07 apply (zenon_L200_); trivial. % 0.86/1.07 exact (zenon_H1e4 zenon_H1e5). % 0.86/1.07 (* end of lemma zenon_L201_ *) % 0.86/1.07 assert (zenon_L202_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp22)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H18f zenon_H1e4 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_H3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.86/1.07 apply (zenon_L201_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.86/1.07 apply (zenon_L103_); trivial. % 0.86/1.07 exact (zenon_H3 zenon_H4). % 0.86/1.07 (* end of lemma zenon_L202_ *) % 0.86/1.07 assert (zenon_L203_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp22)) -> (ndr1_0) -> (c0_1 (a136)) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H45 zenon_H1e4 zenon_Hf zenon_H60 zenon_H1b zenon_H61 zenon_H62 zenon_Hb1 zenon_H98 zenon_H1e6 zenon_H43 zenon_H2c. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.07 apply (zenon_L201_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.07 exact (zenon_H43 zenon_H44). % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L203_ *) % 0.86/1.07 assert (zenon_L204_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H31 zenon_H3 zenon_H18f zenon_H43 zenon_H1e6 zenon_H98 zenon_Hb1 zenon_H62 zenon_H61 zenon_H60 zenon_Hf zenon_H1e4 zenon_H45 zenon_H2c. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_L202_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L203_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L204_ *) % 0.86/1.07 assert (zenon_L205_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp29)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13f zenon_H70 zenon_H220 zenon_Hf zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H12f. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.86/1.07 apply (zenon_L168_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.86/1.07 apply (zenon_L174_); trivial. % 0.86/1.07 exact (zenon_H12f zenon_H130). % 0.86/1.07 (* end of lemma zenon_L205_ *) % 0.86/1.07 assert (zenon_L206_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_H10 zenon_Hb1 zenon_H198 zenon_Hf zenon_H132 zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.86/1.07 apply (zenon_L16_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L103_); trivial. % 0.86/1.07 apply (zenon_L158_); trivial. % 0.86/1.07 (* end of lemma zenon_L206_ *) % 0.86/1.07 assert (zenon_L207_ : ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c2_1 (a179)) -> (c0_1 (a179)) -> (~(c1_1 (a179))) -> (c3_1 (a150)) -> (c1_1 (a150)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a149)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp20)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H19e zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H133 zenon_H132 zenon_Hf zenon_Hb1 zenon_H10 zenon_H98 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H19c. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H19e); [ zenon_intro zenon_H191 | zenon_intro zenon_H19f ]. % 0.86/1.07 apply (zenon_L145_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H19f); [ zenon_intro zenon_H198 | zenon_intro zenon_H19d ]. % 0.86/1.07 apply (zenon_L206_); trivial. % 0.86/1.07 exact (zenon_H19c zenon_H19d). % 0.86/1.07 (* end of lemma zenon_L207_ *) % 0.86/1.07 assert (zenon_L208_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp20)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a179))) -> (c0_1 (a179)) -> (c2_1 (a179)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(hskp17)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13a zenon_H31 zenon_H19c zenon_H240 zenon_H1f0 zenon_H1f1 zenon_H1f2 zenon_H19e zenon_H43 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_Hb1 zenon_Hbf zenon_H45 zenon_H2c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_L207_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L105_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L208_ *) % 0.86/1.07 assert (zenon_L209_ : (forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14)))))) -> (ndr1_0) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> (c1_1 (a168)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H242 zenon_Hf zenon_H1a6 zenon_H1a5 zenon_H1a7. % 0.86/1.07 generalize (zenon_H242 (a168)). zenon_intro zenon_H243. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H243); [ zenon_intro zenon_He | zenon_intro zenon_H244 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H244); [ zenon_intro zenon_H1b1 | zenon_intro zenon_H245 ]. % 0.86/1.07 exact (zenon_H1a6 zenon_H1b1). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H245); [ zenon_intro zenon_H1ab | zenon_intro zenon_H1ac ]. % 0.86/1.07 exact (zenon_H1a5 zenon_H1ab). % 0.86/1.07 exact (zenon_H1ac zenon_H1a7). % 0.86/1.07 (* end of lemma zenon_L209_ *) % 0.86/1.07 assert (zenon_L210_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> (~(hskp8)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1dc zenon_H246 zenon_H59 zenon_H3. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H246); [ zenon_intro zenon_H242 | zenon_intro zenon_H247 ]. % 0.86/1.07 apply (zenon_L209_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H247); [ zenon_intro zenon_H5a | zenon_intro zenon_H4 ]. % 0.86/1.07 exact (zenon_H59 zenon_H5a). % 0.86/1.07 exact (zenon_H3 zenon_H4). % 0.86/1.07 (* end of lemma zenon_L210_ *) % 0.86/1.07 assert (zenon_L211_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb2 zenon_Hd4 zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H35 zenon_H1fc zenon_H13e zenon_H17c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H246 zenon_H1db zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L30_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.07 apply (zenon_L204_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L205_); trivial. % 0.86/1.07 apply (zenon_L208_); trivial. % 0.86/1.07 apply (zenon_L210_); trivial. % 0.86/1.07 apply (zenon_L176_); trivial. % 0.86/1.07 (* end of lemma zenon_L211_ *) % 0.86/1.07 assert (zenon_L212_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Ha4 zenon_H13e zenon_H23b zenon_Hbd zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L205_); trivial. % 0.86/1.07 apply (zenon_L197_); trivial. % 0.86/1.07 (* end of lemma zenon_L212_ *) % 0.86/1.07 assert (zenon_L213_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H13e zenon_H23b zenon_Hbd zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_H3b zenon_H80. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.07 apply (zenon_L38_); trivial. % 0.86/1.07 apply (zenon_L212_); trivial. % 0.86/1.07 (* end of lemma zenon_L213_ *) % 0.86/1.07 assert (zenon_L214_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H59 zenon_H13f zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hbf zenon_Hc1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.07 apply (zenon_L183_); trivial. % 0.86/1.07 apply (zenon_L213_); trivial. % 0.86/1.07 (* end of lemma zenon_L214_ *) % 0.86/1.07 assert (zenon_L215_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hd4 zenon_Hcd zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H13f zenon_H59 zenon_H236 zenon_H220 zenon_H23b zenon_H13e zenon_Haa zenon_Hae. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.07 apply (zenon_L214_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.07 apply (zenon_L187_); trivial. % 0.86/1.07 apply (zenon_L213_); trivial. % 0.86/1.07 (* end of lemma zenon_L215_ *) % 0.86/1.07 assert (zenon_L216_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H59 zenon_H13f zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4. % 0.86/1.07 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.07 apply (zenon_L215_); trivial. % 0.86/1.07 apply (zenon_L59_); trivial. % 0.86/1.07 (* end of lemma zenon_L216_ *) % 0.86/1.07 assert (zenon_L217_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a149))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1e6 zenon_H98 zenon_H97 zenon_H95 zenon_Hb1 zenon_H62 zenon_H61 zenon_H1b zenon_H60 zenon_Hf zenon_H1e4. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H74 | zenon_intro zenon_H1e7 ]. % 0.86/1.07 apply (zenon_L61_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H5f | zenon_intro zenon_H1e5 ]. % 0.86/1.07 apply (zenon_L200_); trivial. % 0.86/1.07 exact (zenon_H1e4 zenon_H1e5). % 0.86/1.07 (* end of lemma zenon_L217_ *) % 0.86/1.07 assert (zenon_L218_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp22)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a149))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H18f zenon_H1e4 zenon_H60 zenon_H61 zenon_H62 zenon_H95 zenon_H97 zenon_H1e6 zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_H3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.86/1.07 apply (zenon_L217_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.86/1.07 apply (zenon_L103_); trivial. % 0.86/1.07 exact (zenon_H3 zenon_H4). % 0.86/1.07 (* end of lemma zenon_L218_ *) % 0.86/1.07 assert (zenon_L219_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp0)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H2c zenon_H1e6 zenon_H98 zenon_H97 zenon_Hb1 zenon_H62 zenon_H61 zenon_H60 zenon_Hf zenon_H1e4 zenon_H18f zenon_H3 zenon_H31 zenon_H206. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.07 apply (zenon_L24_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_L218_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L217_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 exact (zenon_H206 zenon_H207). % 0.86/1.07 (* end of lemma zenon_L219_ *) % 0.86/1.07 assert (zenon_L220_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp20)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a179))) -> (c0_1 (a179)) -> (c2_1 (a179)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp1)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13a zenon_H31 zenon_H19c zenon_H240 zenon_H98 zenon_Hb1 zenon_H1f0 zenon_H1f1 zenon_H1f2 zenon_H19e zenon_H2a zenon_H1c zenon_H1d zenon_H1e zenon_H2e zenon_H2c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.07 apply (zenon_L207_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.07 apply (zenon_L13_); trivial. % 0.86/1.07 exact (zenon_H2c zenon_H2d). % 0.86/1.07 (* end of lemma zenon_L220_ *) % 0.86/1.07 assert (zenon_L221_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(hskp20)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1f9 zenon_H13e zenon_H31 zenon_H2a zenon_H2c zenon_H2e zenon_H240 zenon_H98 zenon_Hb1 zenon_H1e zenon_H1d zenon_H1c zenon_H19c zenon_H19e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L205_); trivial. % 0.86/1.07 apply (zenon_L220_); trivial. % 0.86/1.07 (* end of lemma zenon_L221_ *) % 0.86/1.07 assert (zenon_L222_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Had zenon_H1db zenon_H246 zenon_H208 zenon_H206 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H2c zenon_H31 zenon_H4a zenon_H49 zenon_H48 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H2e zenon_H2a zenon_H13e zenon_H1fc. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.07 apply (zenon_L219_); trivial. % 0.86/1.07 apply (zenon_L221_); trivial. % 0.86/1.07 apply (zenon_L210_); trivial. % 0.86/1.07 (* end of lemma zenon_L222_ *) % 0.86/1.07 assert (zenon_L223_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp29)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H12f. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.86/1.07 apply (zenon_L50_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.86/1.07 apply (zenon_L174_); trivial. % 0.86/1.07 exact (zenon_H12f zenon_H130). % 0.86/1.07 (* end of lemma zenon_L223_ *) % 0.86/1.07 assert (zenon_L224_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Had zenon_Hd4 zenon_H18e zenon_H180 zenon_H2e zenon_H2a zenon_H35 zenon_H1fc zenon_H13e zenon_H17c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H246 zenon_H1db. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.07 apply (zenon_L204_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L223_); trivial. % 0.86/1.07 apply (zenon_L208_); trivial. % 0.86/1.07 apply (zenon_L210_); trivial. % 0.86/1.07 apply (zenon_L110_); trivial. % 0.86/1.07 (* end of lemma zenon_L224_ *) % 0.86/1.07 assert (zenon_L225_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H180 zenon_H2e zenon_H2a zenon_H35 zenon_H1fc zenon_H13e zenon_H17c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H246 zenon_H1db zenon_Hd4 zenon_Hd0 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L60_); trivial. % 0.86/1.07 apply (zenon_L224_); trivial. % 0.86/1.07 (* end of lemma zenon_L225_ *) % 0.86/1.07 assert (zenon_L226_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H1db zenon_H246 zenon_H208 zenon_H206 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H2c zenon_H31 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H19e zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H2e zenon_H2a zenon_H13e zenon_H1fc zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L30_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.07 apply (zenon_L219_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L223_); trivial. % 0.86/1.07 apply (zenon_L220_); trivial. % 0.86/1.07 apply (zenon_L210_); trivial. % 0.86/1.07 (* end of lemma zenon_L226_ *) % 0.86/1.07 assert (zenon_L227_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H211 zenon_Hb2 zenon_Hd4 zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H35 zenon_H1fc zenon_H13e zenon_H17c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H45 zenon_H2c zenon_H31 zenon_H246 zenon_H1db zenon_H59 zenon_H3b zenon_H5d zenon_He3 zenon_He0 zenon_Hae zenon_Haa zenon_H23b zenon_H80 zenon_H72 zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_H206 zenon_H208 zenon_H58. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.07 apply (zenon_L211_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L216_); trivial. % 0.86/1.07 apply (zenon_L222_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.07 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.07 apply (zenon_L225_); trivial. % 0.86/1.07 apply (zenon_L226_); trivial. % 0.86/1.07 (* end of lemma zenon_L227_ *) % 0.86/1.07 assert (zenon_L228_ : (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (c0_1 (a138)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hea zenon_Hf zenon_H22a zenon_H1a0 zenon_H248 zenon_H22b. % 0.86/1.07 generalize (zenon_Hea (a138)). zenon_intro zenon_H230. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H230); [ zenon_intro zenon_He | zenon_intro zenon_H231 ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H231); [ zenon_intro zenon_H233 | zenon_intro zenon_H232 ]. % 0.86/1.07 exact (zenon_H233 zenon_H22a). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H232); [ zenon_intro zenon_H235 | zenon_intro zenon_H234 ]. % 0.86/1.07 generalize (zenon_H1a0 (a138)). zenon_intro zenon_H249. % 0.86/1.07 apply (zenon_imply_s _ _ zenon_H249); [ zenon_intro zenon_He | zenon_intro zenon_H24a ]. % 0.86/1.07 exact (zenon_He zenon_Hf). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H24a); [ zenon_intro zenon_H24c | zenon_intro zenon_H24b ]. % 0.86/1.07 exact (zenon_H248 zenon_H24c). % 0.86/1.07 apply (zenon_or_s _ _ zenon_H24b); [ zenon_intro zenon_H22f | zenon_intro zenon_H234 ]. % 0.86/1.07 exact (zenon_H235 zenon_H22f). % 0.86/1.07 exact (zenon_H234 zenon_H22b). % 0.86/1.07 exact (zenon_H234 zenon_H22b). % 0.86/1.07 (* end of lemma zenon_L228_ *) % 0.86/1.07 assert (zenon_L229_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1a3 zenon_Hec zenon_Hed zenon_H22b zenon_H248 zenon_H22a zenon_Hea zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.07 apply (zenon_L124_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.07 apply (zenon_L228_); trivial. % 0.86/1.07 apply (zenon_L158_); trivial. % 0.86/1.07 (* end of lemma zenon_L229_ *) % 0.86/1.07 assert (zenon_L230_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c3_1 (a150)) -> (c1_1 (a150)) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1e2 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H133 zenon_H132 zenon_Hf9 zenon_Hf zenon_H22a zenon_H248 zenon_H22b zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.07 apply (zenon_L168_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.07 apply (zenon_L229_); trivial. % 0.86/1.07 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.07 (* end of lemma zenon_L230_ *) % 0.86/1.07 assert (zenon_L231_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1b3 zenon_H1e2 zenon_H83 zenon_H8c zenon_H82 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H236 zenon_H59 zenon_H13f. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L205_); trivial. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.07 apply (zenon_L168_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L85_); trivial. % 0.86/1.07 apply (zenon_L230_); trivial. % 0.86/1.07 (* end of lemma zenon_L231_ *) % 0.86/1.07 assert (zenon_L232_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_H239 zenon_H17e zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H159 zenon_H13e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.07 apply (zenon_L231_); trivial. % 0.86/1.07 apply (zenon_L175_); trivial. % 0.86/1.07 (* end of lemma zenon_L232_ *) % 0.86/1.07 assert (zenon_L233_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Had zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H43 zenon_H3b zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_H239 zenon_H1d9 zenon_Haa. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.07 apply (zenon_L191_); trivial. % 0.86/1.07 apply (zenon_L232_); trivial. % 0.86/1.07 apply (zenon_L109_); trivial. % 0.86/1.07 (* end of lemma zenon_L233_ *) % 0.86/1.07 assert (zenon_L234_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H43 zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H239 zenon_H1d9 zenon_Haa zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.07 apply (zenon_L30_); trivial. % 0.86/1.07 apply (zenon_L233_); trivial. % 0.86/1.07 (* end of lemma zenon_L234_ *) % 0.86/1.07 assert (zenon_L235_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp18)) -> (ndr1_0) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp0)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H17e zenon_Hf zenon_Heb zenon_Hec zenon_Hed zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H239 zenon_H206. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.07 apply (zenon_L24_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H11c | zenon_intro zenon_H23a ]. % 0.86/1.07 apply (zenon_L174_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_Hea | zenon_intro zenon_H17f ]. % 0.86/1.07 apply (zenon_L66_); trivial. % 0.86/1.07 exact (zenon_H17e zenon_H17f). % 0.86/1.07 exact (zenon_H206 zenon_H207). % 0.86/1.07 (* end of lemma zenon_L235_ *) % 0.86/1.07 assert (zenon_L236_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H53 zenon_H18e zenon_H2e zenon_H2c zenon_H2a zenon_H239 zenon_Hed zenon_Hec zenon_Heb zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H206 zenon_H208. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.07 apply (zenon_L235_); trivial. % 0.86/1.07 apply (zenon_L109_); trivial. % 0.86/1.07 (* end of lemma zenon_L236_ *) % 0.86/1.07 assert (zenon_L237_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_H59 zenon_Haa zenon_H1d9 zenon_H239 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.07 apply (zenon_L234_); trivial. % 0.86/1.07 apply (zenon_L236_); trivial. % 0.86/1.07 (* end of lemma zenon_L237_ *) % 0.86/1.07 assert (zenon_L238_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H1a3 zenon_Hec zenon_Hed zenon_Hea zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.07 apply (zenon_L124_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.07 apply (zenon_L117_); trivial. % 0.86/1.07 apply (zenon_L158_); trivial. % 0.86/1.07 (* end of lemma zenon_L238_ *) % 0.86/1.07 assert (zenon_L239_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13a zenon_H159 zenon_H83 zenon_H8c zenon_H82 zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H97 zenon_Hb1 zenon_H98 zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.07 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.07 apply (zenon_L50_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.07 apply (zenon_L85_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.07 apply (zenon_L50_); trivial. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.07 apply (zenon_L238_); trivial. % 0.86/1.07 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.07 (* end of lemma zenon_L239_ *) % 0.86/1.07 assert (zenon_L240_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.07 do 0 intro. intros zenon_H13e zenon_H159 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1b3 zenon_H1e2 zenon_H83 zenon_H8c zenon_H82 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.07 apply (zenon_L223_); trivial. % 0.86/1.07 apply (zenon_L239_); trivial. % 0.86/1.07 (* end of lemma zenon_L240_ *) % 0.86/1.07 assert (zenon_L241_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_H239 zenon_H17e zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.07 apply (zenon_L240_); trivial. % 0.86/1.07 apply (zenon_L175_); trivial. % 0.86/1.07 (* end of lemma zenon_L241_ *) % 0.86/1.07 assert (zenon_L242_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.86/1.07 do 0 intro. intros zenon_Had zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H43 zenon_H3b zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H239 zenon_H1d9 zenon_Haa. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.07 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.07 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.07 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.07 apply (zenon_L191_); trivial. % 0.86/1.07 apply (zenon_L241_); trivial. % 0.86/1.07 apply (zenon_L109_); trivial. % 0.86/1.07 (* end of lemma zenon_L242_ *) % 0.86/1.07 assert (zenon_L243_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_He7 zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_Haa zenon_H1d9 zenon_H239 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H3b zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L60_); trivial. % 0.86/1.08 apply (zenon_L242_); trivial. % 0.86/1.08 apply (zenon_L236_); trivial. % 0.86/1.08 (* end of lemma zenon_L243_ *) % 0.86/1.08 assert (zenon_L244_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H211 zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H239 zenon_H1d9 zenon_Haa zenon_H59 zenon_H3b zenon_H5d zenon_H208 zenon_H206 zenon_Heb zenon_H58. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L237_); trivial. % 0.86/1.08 apply (zenon_L243_); trivial. % 0.86/1.08 (* end of lemma zenon_L244_ *) % 0.86/1.08 assert (zenon_L245_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H24d zenon_H167 zenon_H23b zenon_H12d zenon_H1e0 zenon_H1fd zenon_H31 zenon_H151 zenon_H72 zenon_Hae zenon_H51 zenon_H54 zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_Haa zenon_H1d9 zenon_H239 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3 zenon_H211. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.08 apply (zenon_L244_); trivial. % 0.86/1.08 apply (zenon_L199_); trivial. % 0.86/1.08 (* end of lemma zenon_L245_ *) % 0.86/1.08 assert (zenon_L246_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13a zenon_H159 zenon_H83 zenon_H8c zenon_H82 zenon_H1e2 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H97 zenon_Hb1 zenon_H98 zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.08 apply (zenon_L168_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L85_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.08 apply (zenon_L168_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.08 apply (zenon_L238_); trivial. % 0.86/1.08 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.08 (* end of lemma zenon_L246_ *) % 0.86/1.08 assert (zenon_L247_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp28)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13e zenon_H159 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1b3 zenon_H1e2 zenon_H83 zenon_H8c zenon_H82 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H236 zenon_H59 zenon_H13f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.08 apply (zenon_L205_); trivial. % 0.86/1.08 apply (zenon_L246_); trivial. % 0.86/1.08 (* end of lemma zenon_L247_ *) % 0.86/1.08 assert (zenon_L248_ : (forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69)))))) -> (ndr1_0) -> (c0_1 (a143)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c3_1 (a143)) -> (c2_1 (a143)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H5f zenon_Hf zenon_H1b5 zenon_H96 zenon_H1b7 zenon_H1b6. % 0.86/1.08 generalize (zenon_H5f (a143)). zenon_intro zenon_H1e8. % 0.86/1.08 apply (zenon_imply_s _ _ zenon_H1e8); [ zenon_intro zenon_He | zenon_intro zenon_H1e9 ]. % 0.86/1.08 exact (zenon_He zenon_Hf). % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1e9); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1ea ]. % 0.86/1.08 exact (zenon_H1bb zenon_H1b5). % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1ea); [ zenon_intro zenon_H1eb | zenon_intro zenon_H1bd ]. % 0.86/1.08 generalize (zenon_H96 (a143)). zenon_intro zenon_H250. % 0.86/1.08 apply (zenon_imply_s _ _ zenon_H250); [ zenon_intro zenon_He | zenon_intro zenon_H251 ]. % 0.86/1.08 exact (zenon_He zenon_Hf). % 0.86/1.08 apply (zenon_or_s _ _ zenon_H251); [ zenon_intro zenon_H1ef | zenon_intro zenon_H252 ]. % 0.86/1.08 exact (zenon_H1eb zenon_H1ef). % 0.86/1.08 apply (zenon_or_s _ _ zenon_H252); [ zenon_intro zenon_H1bb | zenon_intro zenon_H1bc ]. % 0.86/1.08 exact (zenon_H1bb zenon_H1b5). % 0.86/1.08 exact (zenon_H1bc zenon_H1b7). % 0.86/1.08 exact (zenon_H1bd zenon_H1b6). % 0.86/1.08 (* end of lemma zenon_L248_ *) % 0.86/1.08 assert (zenon_L249_ : ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a143)) -> (ndr1_0) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H72 zenon_H1b6 zenon_H1b7 zenon_H96 zenon_H1b5 zenon_Hf zenon_H6e zenon_H70. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H72); [ zenon_intro zenon_H5f | zenon_intro zenon_H73 ]. % 0.86/1.08 apply (zenon_L248_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H73); [ zenon_intro zenon_H6f | zenon_intro zenon_H71 ]. % 0.86/1.08 exact (zenon_H6e zenon_H6f). % 0.86/1.08 exact (zenon_H70 zenon_H71). % 0.86/1.08 (* end of lemma zenon_L249_ *) % 0.86/1.08 assert (zenon_L250_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H1c0 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H70 zenon_H72 zenon_H6e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H36 | zenon_intro zenon_H165 ]. % 0.86/1.08 apply (zenon_L34_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H96 | zenon_intro zenon_H6f ]. % 0.86/1.08 apply (zenon_L249_); trivial. % 0.86/1.08 exact (zenon_H6e zenon_H6f). % 0.86/1.08 (* end of lemma zenon_L250_ *) % 0.86/1.08 assert (zenon_L251_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp19)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H6e zenon_H72 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.08 apply (zenon_L247_); trivial. % 0.86/1.08 apply (zenon_L250_); trivial. % 0.86/1.08 (* end of lemma zenon_L251_ *) % 0.86/1.08 assert (zenon_L252_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_H239 zenon_H17e zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.08 apply (zenon_L247_); trivial. % 0.86/1.08 apply (zenon_L175_); trivial. % 0.86/1.08 (* end of lemma zenon_L252_ *) % 0.86/1.08 assert (zenon_L253_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H1d9 zenon_H239 zenon_H17e zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H3b zenon_H80. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L38_); trivial. % 0.86/1.08 apply (zenon_L252_); trivial. % 0.86/1.08 (* end of lemma zenon_L253_ *) % 0.86/1.08 assert (zenon_L254_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_Haa zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H43 zenon_H2c zenon_H45 zenon_H239 zenon_Hae zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L30_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L191_); trivial. % 0.86/1.08 apply (zenon_L251_); trivial. % 0.86/1.08 apply (zenon_L253_); trivial. % 0.86/1.08 apply (zenon_L109_); trivial. % 0.86/1.08 (* end of lemma zenon_L254_ *) % 0.86/1.08 assert (zenon_L255_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_H59 zenon_Hae zenon_H239 zenon_H45 zenon_H2c zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H164 zenon_H1d9 zenon_Haa zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L254_); trivial. % 0.86/1.08 apply (zenon_L236_); trivial. % 0.86/1.08 (* end of lemma zenon_L255_ *) % 0.86/1.08 assert (zenon_L256_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H211 zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_Haa zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H239 zenon_Hae zenon_H59 zenon_H3b zenon_H5d zenon_H208 zenon_H206 zenon_Heb zenon_H58. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L255_); trivial. % 0.86/1.08 apply (zenon_L243_); trivial. % 0.86/1.08 (* end of lemma zenon_L256_ *) % 0.86/1.08 assert (zenon_L257_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((hskp11)\/(hskp8)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H166 zenon_H164 zenon_H1a3 zenon_H253 zenon_H42 zenon_H167 zenon_H23b zenon_H13e zenon_H12d zenon_H1e0 zenon_H1fd zenon_H151 zenon_H72 zenon_H80 zenon_H159 zenon_Haa zenon_Hae zenon_H58 zenon_H54 zenon_H51 zenon_H5d zenon_H3b zenon_H18e zenon_H2e zenon_H2a zenon_H31 zenon_H2c zenon_H45 zenon_H18f zenon_H17c zenon_H1e2 zenon_H236 zenon_H239 zenon_H1d9 zenon_H35 zenon_H180 zenon_Hd4 zenon_Hb2 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3 zenon_H5 zenon_H228 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H211 zenon_H1fc zenon_H240 zenon_H19e zenon_H13f zenon_H1e6 zenon_H246 zenon_H1db zenon_H206 zenon_H208 zenon_H254. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 0.86/1.08 apply (zenon_L170_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.86/1.08 apply (zenon_L3_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L178_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L181_); trivial. % 0.86/1.08 apply (zenon_L26_); trivial. % 0.86/1.08 apply (zenon_L199_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.86/1.08 apply (zenon_L3_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.08 apply (zenon_L227_); trivial. % 0.86/1.08 apply (zenon_L199_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 0.86/1.08 apply (zenon_L170_); trivial. % 0.86/1.08 apply (zenon_L245_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.08 apply (zenon_L256_); trivial. % 0.86/1.08 apply (zenon_L199_); trivial. % 0.86/1.08 (* end of lemma zenon_L257_ *) % 0.86/1.08 assert (zenon_L258_ : ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (c3_1 (a137)) -> (c2_1 (a137)) -> (c1_1 (a137)) -> (forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24)))))) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp15)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H258 zenon_H11f zenon_H11e zenon_H11d zenon_H11c zenon_Hf zenon_H226 zenon_H5b. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11b | zenon_intro zenon_H259 ]. % 0.86/1.08 apply (zenon_L75_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H227 | zenon_intro zenon_H5c ]. % 0.86/1.08 exact (zenon_H226 zenon_H227). % 0.86/1.08 exact (zenon_H5b zenon_H5c). % 0.86/1.08 (* end of lemma zenon_L258_ *) % 0.86/1.08 assert (zenon_L259_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> (~(hskp15)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13a zenon_H258 zenon_H226 zenon_H5b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11b | zenon_intro zenon_H259 ]. % 0.86/1.08 apply (zenon_L79_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H227 | zenon_intro zenon_H5c ]. % 0.86/1.08 exact (zenon_H226 zenon_H227). % 0.86/1.08 exact (zenon_H5b zenon_H5c). % 0.86/1.08 (* end of lemma zenon_L259_ *) % 0.86/1.08 assert (zenon_L260_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H6e zenon_H21b zenon_H214 zenon_H213 zenon_H258 zenon_H226 zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.08 apply (zenon_L74_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.86/1.08 apply (zenon_L182_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.86/1.08 apply (zenon_L258_); trivial. % 0.86/1.08 exact (zenon_H12f zenon_H130). % 0.86/1.08 apply (zenon_L259_); trivial. % 0.86/1.08 (* end of lemma zenon_L260_ *) % 0.86/1.08 assert (zenon_L261_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13d zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H77 zenon_H76 zenon_H75. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.86/1.08 apply (zenon_L16_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L36_); trivial. % 0.86/1.08 apply (zenon_L86_); trivial. % 0.86/1.08 (* end of lemma zenon_L261_ *) % 0.86/1.08 assert (zenon_L262_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha9 zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.08 apply (zenon_L74_); trivial. % 0.86/1.08 apply (zenon_L261_); trivial. % 0.86/1.08 (* end of lemma zenon_L262_ *) % 0.86/1.08 assert (zenon_L263_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hae zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H226 zenon_H258 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.08 apply (zenon_L260_); trivial. % 0.86/1.08 apply (zenon_L262_); trivial. % 0.86/1.08 (* end of lemma zenon_L263_ *) % 0.86/1.08 assert (zenon_L264_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H1db zenon_H246 zenon_H208 zenon_H206 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H2c zenon_H31 zenon_H59 zenon_H236 zenon_H220 zenon_H19e zenon_H2e zenon_H2a zenon_H1fc zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H258 zenon_H226 zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hae. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L263_); trivial. % 0.86/1.08 apply (zenon_L222_); trivial. % 0.86/1.08 (* end of lemma zenon_L264_ *) % 0.86/1.08 assert (zenon_L265_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H180 zenon_H2e zenon_H2a zenon_H35 zenon_H1fc zenon_H17c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H45 zenon_H2c zenon_H43 zenon_H31 zenon_H246 zenon_H1db zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L88_); trivial. % 0.86/1.08 apply (zenon_L224_); trivial. % 0.86/1.08 (* end of lemma zenon_L265_ *) % 0.86/1.08 assert (zenon_L266_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_He7 zenon_H58 zenon_H208 zenon_H206 zenon_H3b zenon_H5d zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H1db zenon_H246 zenon_H31 zenon_H2c zenon_H45 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H3 zenon_H18f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H19e zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H17c zenon_H1fc zenon_H35 zenon_H2a zenon_H2e zenon_H180 zenon_H18e zenon_Hb2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L265_); trivial. % 0.86/1.08 apply (zenon_L226_); trivial. % 0.86/1.08 (* end of lemma zenon_L266_ *) % 0.86/1.08 assert (zenon_L267_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H211 zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_Hd0 zenon_Hb2 zenon_Hd4 zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H35 zenon_H1fc zenon_H13e zenon_H17c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H45 zenon_H2c zenon_H31 zenon_H246 zenon_H1db zenon_H59 zenon_H3b zenon_H5d zenon_Hae zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H226 zenon_H258 zenon_H72 zenon_H152 zenon_H206 zenon_H208 zenon_H58. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L211_); trivial. % 0.86/1.08 apply (zenon_L264_); trivial. % 0.86/1.08 apply (zenon_L266_); trivial. % 0.86/1.08 (* end of lemma zenon_L267_ *) % 0.86/1.08 assert (zenon_L268_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp6)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H10a zenon_H25a zenon_H110 zenon_H10f zenon_H10e zenon_Ha. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H10d | zenon_intro zenon_H25b ]. % 0.86/1.08 apply (zenon_L72_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H25c | zenon_intro zenon_Hb ]. % 0.86/1.08 generalize (zenon_H25c (a140)). zenon_intro zenon_H25d. % 0.86/1.08 apply (zenon_imply_s _ _ zenon_H25d); [ zenon_intro zenon_He | zenon_intro zenon_H25e ]. % 0.86/1.08 exact (zenon_He zenon_Hf). % 0.86/1.08 apply (zenon_or_s _ _ zenon_H25e); [ zenon_intro zenon_H107 | zenon_intro zenon_H25f ]. % 0.86/1.08 exact (zenon_H103 zenon_H107). % 0.86/1.08 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H100 | zenon_intro zenon_H101 ]. % 0.86/1.08 exact (zenon_H100 zenon_Hfa). % 0.86/1.08 exact (zenon_H101 zenon_Hfc). % 0.86/1.08 exact (zenon_Ha zenon_Hb). % 0.86/1.08 (* end of lemma zenon_L268_ *) % 0.86/1.08 assert (zenon_L269_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H42 zenon_H167 zenon_H25a zenon_Ha zenon_H58 zenon_H208 zenon_H206 zenon_H152 zenon_H72 zenon_H258 zenon_H226 zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_Hae zenon_H5d zenon_H3b zenon_H1db zenon_H246 zenon_H31 zenon_H2c zenon_H45 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H18f zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H19e zenon_H240 zenon_H17c zenon_H13e zenon_H1fc zenon_H35 zenon_H180 zenon_H2a zenon_H2e zenon_H18e zenon_Hd4 zenon_Hb2 zenon_Hd0 zenon_H151 zenon_H14d zenon_H12d zenon_H159 zenon_Haa zenon_He0 zenon_He3 zenon_H211 zenon_H3 zenon_H5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.86/1.08 apply (zenon_L3_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.08 apply (zenon_L267_); trivial. % 0.86/1.08 apply (zenon_L268_); trivial. % 0.86/1.08 (* end of lemma zenon_L269_ *) % 0.86/1.08 assert (zenon_L270_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H211 zenon_H208 zenon_H206 zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_H1db zenon_H246 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H19e zenon_H240 zenon_H1fc zenon_Hb2 zenon_Hd4 zenon_H180 zenon_H35 zenon_H1d9 zenon_H239 zenon_H236 zenon_H1e2 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H45 zenon_H2c zenon_H31 zenon_H2a zenon_H2e zenon_H18e zenon_H59 zenon_H3b zenon_H5d zenon_H51 zenon_H54 zenon_H58. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L178_); trivial. % 0.86/1.08 apply (zenon_L266_); trivial. % 0.86/1.08 (* end of lemma zenon_L270_ *) % 0.86/1.08 assert (zenon_L271_ : ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c3_1 (a150)) -> (c1_1 (a150)) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (ndr1_0) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp18)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H133 zenon_H132 zenon_Hf9 zenon_Hf zenon_H22a zenon_H248 zenon_H22b zenon_Hed zenon_Hec zenon_H1a3 zenon_H17e. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H239); [ zenon_intro zenon_H11c | zenon_intro zenon_H23a ]. % 0.86/1.08 apply (zenon_L174_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H23a); [ zenon_intro zenon_Hea | zenon_intro zenon_H17f ]. % 0.86/1.08 apply (zenon_L229_); trivial. % 0.86/1.08 exact (zenon_H17e zenon_H17f). % 0.86/1.08 (* end of lemma zenon_L271_ *) % 0.86/1.08 assert (zenon_L272_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha4 zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H17e zenon_H239 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.08 apply (zenon_L223_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.08 apply (zenon_L50_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L85_); trivial. % 0.86/1.08 apply (zenon_L271_); trivial. % 0.86/1.08 (* end of lemma zenon_L272_ *) % 0.86/1.08 assert (zenon_L273_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H43 zenon_H80 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H239 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H159 zenon_H13e zenon_Haa zenon_H59 zenon_H3b zenon_H5d. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L30_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L191_); trivial. % 0.86/1.08 apply (zenon_L272_); trivial. % 0.86/1.08 apply (zenon_L109_); trivial. % 0.86/1.08 (* end of lemma zenon_L273_ *) % 0.86/1.08 assert (zenon_L274_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_He7 zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_H59 zenon_Haa zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H239 zenon_H236 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L273_); trivial. % 0.86/1.08 apply (zenon_L236_); trivial. % 0.86/1.08 (* end of lemma zenon_L274_ *) % 0.86/1.08 assert (zenon_L275_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H211 zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H239 zenon_H1d9 zenon_Haa zenon_H59 zenon_H3b zenon_H5d zenon_H208 zenon_H206 zenon_Heb zenon_H58. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L237_); trivial. % 0.86/1.08 apply (zenon_L274_); trivial. % 0.86/1.08 (* end of lemma zenon_L275_ *) % 0.86/1.08 assert (zenon_L276_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13d zenon_H13e zenon_H72 zenon_H70 zenon_H6e zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H7e zenon_H12b zenon_H13f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.86/1.08 apply (zenon_L182_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.86/1.08 apply (zenon_L77_); trivial. % 0.86/1.08 exact (zenon_H12f zenon_H130). % 0.86/1.08 apply (zenon_L80_); trivial. % 0.86/1.08 (* end of lemma zenon_L276_ *) % 0.86/1.08 assert (zenon_L277_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H7e zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H6e zenon_H70 zenon_H72 zenon_H13e zenon_H152. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.08 apply (zenon_L74_); trivial. % 0.86/1.08 apply (zenon_L276_); trivial. % 0.86/1.08 apply (zenon_L83_); trivial. % 0.86/1.08 (* end of lemma zenon_L277_ *) % 0.86/1.08 assert (zenon_L278_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(hskp19)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13d zenon_H159 zenon_H70 zenon_H6e zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H83 zenon_H8c zenon_H82. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.08 apply (zenon_L182_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L85_); trivial. % 0.86/1.08 apply (zenon_L86_); trivial. % 0.86/1.08 (* end of lemma zenon_L278_ *) % 0.86/1.08 assert (zenon_L279_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H6e zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L277_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.08 apply (zenon_L74_); trivial. % 0.86/1.08 apply (zenon_L278_); trivial. % 0.86/1.08 (* end of lemma zenon_L279_ *) % 0.86/1.08 assert (zenon_L280_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H13d zenon_H159 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H83 zenon_H8c zenon_H82. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.08 apply (zenon_L168_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L85_); trivial. % 0.86/1.08 apply (zenon_L86_); trivial. % 0.86/1.08 (* end of lemma zenon_L280_ *) % 0.86/1.08 assert (zenon_L281_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.08 apply (zenon_L74_); trivial. % 0.86/1.08 apply (zenon_L280_); trivial. % 0.86/1.08 (* end of lemma zenon_L281_ *) % 0.86/1.08 assert (zenon_L282_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_H3b zenon_H80. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L38_); trivial. % 0.86/1.08 apply (zenon_L281_); trivial. % 0.86/1.08 (* end of lemma zenon_L282_ *) % 0.86/1.08 assert (zenon_L283_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_He3 zenon_He0 zenon_Hae zenon_H220 zenon_H3b zenon_H80 zenon_H151 zenon_H14d zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4. % 0.86/1.08 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.08 apply (zenon_L279_); trivial. % 0.86/1.08 apply (zenon_L282_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.08 apply (zenon_L187_); trivial. % 0.86/1.08 apply (zenon_L282_); trivial. % 0.86/1.08 apply (zenon_L59_); trivial. % 0.86/1.08 (* end of lemma zenon_L283_ *) % 0.86/1.08 assert (zenon_L284_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hb2 zenon_H103 zenon_Hfa zenon_Hfc zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L283_); trivial. % 0.86/1.08 apply (zenon_L192_); trivial. % 0.86/1.08 (* end of lemma zenon_L284_ *) % 0.86/1.08 assert (zenon_L285_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H58 zenon_H54 zenon_H51 zenon_H2a zenon_He3 zenon_He0 zenon_Hae zenon_H220 zenon_H3b zenon_H80 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4 zenon_H45 zenon_H2c zenon_Hfc zenon_Hfa zenon_H103 zenon_Hb2. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L284_); trivial. % 0.86/1.08 apply (zenon_L26_); trivial. % 0.86/1.08 (* end of lemma zenon_L285_ *) % 0.86/1.08 assert (zenon_L286_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82 zenon_H10 zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.08 apply (zenon_L50_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.08 apply (zenon_L85_); trivial. % 0.86/1.08 apply (zenon_L68_); trivial. % 0.86/1.08 (* end of lemma zenon_L286_ *) % 0.86/1.08 assert (zenon_L287_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha4 zenon_H45 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H159 zenon_H43 zenon_H2c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.08 apply (zenon_L286_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.08 exact (zenon_H43 zenon_H44). % 0.86/1.08 exact (zenon_H2c zenon_H2d). % 0.86/1.08 (* end of lemma zenon_L287_ *) % 0.86/1.08 assert (zenon_L288_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp14)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_He3 zenon_H1fd zenon_H31 zenon_Haa zenon_H45 zenon_H43 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H13e zenon_H12d zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 0.86/1.08 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L134_); trivial. % 0.86/1.08 apply (zenon_L287_); trivial. % 0.86/1.08 apply (zenon_L56_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L196_); trivial. % 0.86/1.08 apply (zenon_L287_); trivial. % 0.86/1.08 (* end of lemma zenon_L288_ *) % 0.86/1.08 assert (zenon_L289_ : ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp27)) -> (~(hskp26)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H1c1 zenon_Hed zenon_Hec zenon_Heb zenon_H95 zenon_Hf zenon_H117 zenon_H1be. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1c1); [ zenon_intro zenon_Hea | zenon_intro zenon_H1c4 ]. % 0.86/1.08 apply (zenon_L66_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1c4); [ zenon_intro zenon_H118 | zenon_intro zenon_H1bf ]. % 0.86/1.08 exact (zenon_H117 zenon_H118). % 0.86/1.08 exact (zenon_H1be zenon_H1bf). % 0.86/1.08 (* end of lemma zenon_L289_ *) % 0.86/1.08 assert (zenon_L290_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp26)) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp0)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H1be zenon_H117 zenon_Hf zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H206. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.08 apply (zenon_L24_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.08 apply (zenon_L289_); trivial. % 0.86/1.08 exact (zenon_H206 zenon_H207). % 0.86/1.08 (* end of lemma zenon_L290_ *) % 0.86/1.08 assert (zenon_L291_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H152 zenon_H159 zenon_H83 zenon_H8c zenon_H82 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H48 zenon_H49 zenon_H4a zenon_H1c1 zenon_H1be zenon_Hed zenon_Hec zenon_Heb zenon_H206 zenon_H208. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.08 apply (zenon_L290_); trivial. % 0.86/1.08 apply (zenon_L87_); trivial. % 0.86/1.08 (* end of lemma zenon_L291_ *) % 0.86/1.08 assert (zenon_L292_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp0)) -> False). % 0.86/1.08 do 0 intro. intros zenon_H1d5 zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H2c zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82 zenon_H103 zenon_Hfa zenon_Hfc zenon_H31 zenon_H206. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.08 apply (zenon_L24_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.08 apply (zenon_L286_); trivial. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.08 apply (zenon_L160_); trivial. % 0.86/1.08 exact (zenon_H2c zenon_H2d). % 0.86/1.08 exact (zenon_H206 zenon_H207). % 0.86/1.08 (* end of lemma zenon_L292_ *) % 0.86/1.08 assert (zenon_L293_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_Hfc zenon_Hfa zenon_H103 zenon_H2c zenon_H31 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H4a zenon_H49 zenon_H48 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H159 zenon_H152. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.08 apply (zenon_L291_); trivial. % 0.86/1.08 apply (zenon_L292_); trivial. % 0.86/1.08 (* end of lemma zenon_L293_ *) % 0.86/1.08 assert (zenon_L294_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_He7 zenon_H58 zenon_H1d8 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H152 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H2c zenon_H12d zenon_H13e zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H45 zenon_Haa zenon_H31 zenon_H1fd zenon_He3. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.08 apply (zenon_L288_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.08 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L134_); trivial. % 0.86/1.08 apply (zenon_L293_); trivial. % 0.86/1.08 apply (zenon_L56_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.08 apply (zenon_L196_); trivial. % 0.86/1.08 apply (zenon_L293_); trivial. % 0.86/1.08 (* end of lemma zenon_L294_ *) % 0.86/1.08 assert (zenon_L295_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H10a zenon_H211 zenon_H1d8 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H1e0 zenon_H31 zenon_H1fd zenon_Hb2 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3 zenon_H2a zenon_H51 zenon_H54 zenon_H58. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L285_); trivial. % 0.86/1.08 apply (zenon_L294_); trivial. % 0.86/1.08 (* end of lemma zenon_L295_ *) % 0.86/1.08 assert (zenon_L296_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H24d zenon_H167 zenon_H1d8 zenon_H1c1 zenon_H1e0 zenon_H31 zenon_H1fd zenon_Hd4 zenon_Hd0 zenon_H152 zenon_H72 zenon_H12d zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hae zenon_He0 zenon_He3 zenon_H51 zenon_H54 zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_Haa zenon_H1d9 zenon_H239 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2 zenon_H211. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.86/1.08 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.08 apply (zenon_L275_); trivial. % 0.86/1.08 apply (zenon_L295_); trivial. % 0.86/1.08 (* end of lemma zenon_L296_ *) % 0.86/1.08 assert (zenon_L297_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10))) -> (~(hskp9)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H253 zenon_H167 zenon_H1d8 zenon_H1c1 zenon_H1e0 zenon_H31 zenon_H1fd zenon_Hd4 zenon_Hd0 zenon_H152 zenon_H72 zenon_H12d zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hae zenon_He0 zenon_He3 zenon_H51 zenon_H54 zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_Haa zenon_H1d9 zenon_H239 zenon_H13f zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2 zenon_H228 zenon_H6 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H211. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 0.86/1.08 apply (zenon_L170_); trivial. % 0.86/1.08 apply (zenon_L296_); trivial. % 0.86/1.08 (* end of lemma zenon_L297_ *) % 0.86/1.08 assert (zenon_L298_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H43 zenon_H3b zenon_H80 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.86/1.08 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.08 apply (zenon_L88_); trivial. % 0.86/1.08 apply (zenon_L242_); trivial. % 0.86/1.08 (* end of lemma zenon_L298_ *) % 0.86/1.08 assert (zenon_L299_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.08 do 0 intro. intros zenon_H211 zenon_He3 zenon_He0 zenon_H152 zenon_H12d zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_Haa zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H239 zenon_Hae zenon_H59 zenon_H3b zenon_H5d zenon_H208 zenon_H206 zenon_Heb zenon_H58. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.08 apply (zenon_L255_); trivial. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.08 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.08 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.09 apply (zenon_L298_); trivial. % 0.86/1.09 apply (zenon_L236_); trivial. % 0.86/1.09 (* end of lemma zenon_L299_ *) % 0.86/1.09 assert (zenon_L300_ : ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W)))))) -> (ndr1_0) -> (~(hskp0)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H98 zenon_Hb1 zenon_H97 zenon_H260 zenon_Hf zenon_H206. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.86/1.09 apply (zenon_L24_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.86/1.09 generalize (zenon_H95 (a149)). zenon_intro zenon_H99. % 0.86/1.09 apply (zenon_imply_s _ _ zenon_H99); [ zenon_intro zenon_He | zenon_intro zenon_H9a ]. % 0.86/1.09 exact (zenon_He zenon_Hf). % 0.86/1.09 apply (zenon_or_s _ _ zenon_H9a); [ zenon_intro zenon_H9c | zenon_intro zenon_H9b ]. % 0.86/1.09 generalize (zenon_H260 (a149)). zenon_intro zenon_H261. % 0.86/1.09 apply (zenon_imply_s _ _ zenon_H261); [ zenon_intro zenon_He | zenon_intro zenon_H262 ]. % 0.86/1.09 exact (zenon_He zenon_Hf). % 0.86/1.09 apply (zenon_or_s _ _ zenon_H262); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H263 ]. % 0.86/1.09 exact (zenon_H97 zenon_Ha0). % 0.86/1.09 apply (zenon_or_s _ _ zenon_H263); [ zenon_intro zenon_He6 | zenon_intro zenon_Ha2 ]. % 0.86/1.09 exact (zenon_Hb1 zenon_He6). % 0.86/1.09 exact (zenon_Ha2 zenon_H9c). % 0.86/1.09 apply (zenon_or_s _ _ zenon_H9b); [ zenon_intro zenon_Ha0 | zenon_intro zenon_Ha1 ]. % 0.86/1.09 exact (zenon_H97 zenon_Ha0). % 0.86/1.09 exact (zenon_Ha1 zenon_H98). % 0.86/1.09 exact (zenon_H206 zenon_H207). % 0.86/1.09 (* end of lemma zenon_L300_ *) % 0.86/1.09 assert (zenon_L301_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp0)) -> False). % 0.86/1.09 do 0 intro. intros zenon_Had zenon_H264 zenon_H15d zenon_H15c zenon_H15b zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H206. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H8b | zenon_intro zenon_H265 ]. % 0.86/1.09 apply (zenon_L90_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H47 | zenon_intro zenon_H260 ]. % 0.86/1.09 apply (zenon_L24_); trivial. % 0.86/1.09 apply (zenon_L300_); trivial. % 0.86/1.09 (* end of lemma zenon_L301_ *) % 0.86/1.09 assert (zenon_L302_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.09 apply (zenon_L88_); trivial. % 0.86/1.09 apply (zenon_L301_); trivial. % 0.86/1.09 (* end of lemma zenon_L302_ *) % 0.86/1.09 assert (zenon_L303_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_He7 zenon_H58 zenon_Hb2 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H152 zenon_He0 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H2c zenon_H12d zenon_H13e zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H45 zenon_Haa zenon_H31 zenon_H1fd zenon_He3. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.09 apply (zenon_L288_); trivial. % 0.86/1.09 apply (zenon_L302_); trivial. % 0.86/1.09 (* end of lemma zenon_L303_ *) % 0.86/1.09 assert (zenon_L304_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H10a zenon_H211 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_H1e0 zenon_H31 zenon_H1fd zenon_Hb2 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3 zenon_H2a zenon_H51 zenon_H54 zenon_H58. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.09 apply (zenon_L285_); trivial. % 0.86/1.09 apply (zenon_L303_); trivial. % 0.86/1.09 (* end of lemma zenon_L304_ *) % 0.86/1.09 assert (zenon_L305_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H211 zenon_H264 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_H152 zenon_H12d zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_Haa zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H239 zenon_Hae zenon_H59 zenon_H3b zenon_H5d zenon_H208 zenon_H206 zenon_Heb zenon_H58. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.09 apply (zenon_L255_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.09 apply (zenon_L298_); trivial. % 0.86/1.09 apply (zenon_L302_); trivial. % 0.86/1.09 (* end of lemma zenon_L305_ *) % 0.86/1.09 assert (zenon_L306_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1e2 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H97 zenon_Hb1 zenon_H98 zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.09 apply (zenon_L168_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.09 apply (zenon_L135_); trivial. % 0.86/1.09 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.09 (* end of lemma zenon_L306_ *) % 0.86/1.09 assert (zenon_L307_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1d9 zenon_H239 zenon_H17e zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L306_); trivial. % 0.86/1.09 apply (zenon_L175_); trivial. % 0.86/1.09 (* end of lemma zenon_L307_ *) % 0.86/1.09 assert (zenon_L308_ : ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp24)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H10 zenon_Hf zenon_H12b zenon_H7e. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11b | zenon_intro zenon_H12e ]. % 0.86/1.09 generalize (zenon_H11b (a131)). zenon_intro zenon_H266. % 0.86/1.09 apply (zenon_imply_s _ _ zenon_H266); [ zenon_intro zenon_He | zenon_intro zenon_H267 ]. % 0.86/1.09 exact (zenon_He zenon_Hf). % 0.86/1.09 apply (zenon_or_s _ _ zenon_H267); [ zenon_intro zenon_H16b | zenon_intro zenon_H19b ]. % 0.86/1.09 apply (zenon_L98_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H19b); [ zenon_intro zenon_H178 | zenon_intro zenon_H172 ]. % 0.86/1.09 exact (zenon_H178 zenon_H174). % 0.86/1.09 exact (zenon_H172 zenon_H16d). % 0.86/1.09 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12c | zenon_intro zenon_H7f ]. % 0.86/1.09 exact (zenon_H12b zenon_H12c). % 0.86/1.09 exact (zenon_H7e zenon_H7f). % 0.86/1.09 (* end of lemma zenon_L308_ *) % 0.86/1.09 assert (zenon_L309_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp24)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H45 zenon_H7e zenon_H12b zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H43 zenon_H2c. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.86/1.09 apply (zenon_L308_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.86/1.09 exact (zenon_H43 zenon_H44). % 0.86/1.09 exact (zenon_H2c zenon_H2d). % 0.86/1.09 (* end of lemma zenon_L309_ *) % 0.86/1.09 assert (zenon_L310_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H12d zenon_H7e zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.09 apply (zenon_L309_); trivial. % 0.86/1.09 apply (zenon_L83_); trivial. % 0.86/1.09 (* end of lemma zenon_L310_ *) % 0.86/1.09 assert (zenon_L311_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> (~(hskp17)) -> False). % 0.86/1.09 do 0 intro. intros zenon_Ha9 zenon_H17c zenon_H184 zenon_H183 zenon_H182 zenon_Hbf. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H1a | zenon_intro zenon_H17d ]. % 0.86/1.09 apply (zenon_L108_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H74 | zenon_intro zenon_Hc0 ]. % 0.86/1.09 apply (zenon_L36_); trivial. % 0.86/1.09 exact (zenon_Hbf zenon_Hc0). % 0.86/1.09 (* end of lemma zenon_L311_ *) % 0.86/1.09 assert (zenon_L312_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H14c zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.86/1.09 apply (zenon_L82_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.86/1.09 apply (zenon_L54_); trivial. % 0.86/1.09 apply (zenon_L114_); trivial. % 0.86/1.09 (* end of lemma zenon_L312_ *) % 0.86/1.09 assert (zenon_L313_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H12d zenon_H7e zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.09 apply (zenon_L309_); trivial. % 0.86/1.09 apply (zenon_L312_); trivial. % 0.86/1.09 (* end of lemma zenon_L313_ *) % 0.86/1.09 assert (zenon_L314_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H152 zenon_H13e zenon_H159 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H83 zenon_H8c zenon_H82 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H236 zenon_H59 zenon_H13f zenon_H1be zenon_H1c1 zenon_H1d9. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L247_); trivial. % 0.86/1.09 apply (zenon_L123_); trivial. % 0.86/1.09 apply (zenon_L280_); trivial. % 0.86/1.09 (* end of lemma zenon_L314_ *) % 0.86/1.09 assert (zenon_L315_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a196)) -> (~(c0_1 (a196))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c1_1 (a196))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1d3 zenon_H1c7 zenon_H1c6 zenon_H192 zenon_H1c5 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.86/1.09 apply (zenon_L126_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.86/1.09 apply (zenon_L54_); trivial. % 0.86/1.09 apply (zenon_L114_); trivial. % 0.86/1.09 (* end of lemma zenon_L315_ *) % 0.86/1.09 assert (zenon_L316_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.09 apply (zenon_L315_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.09 apply (zenon_L117_); trivial. % 0.86/1.09 apply (zenon_L158_); trivial. % 0.86/1.09 (* end of lemma zenon_L316_ *) % 0.86/1.09 assert (zenon_L317_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H13a zenon_H159 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H83 zenon_H8c zenon_H82 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.86/1.09 apply (zenon_L168_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.86/1.09 apply (zenon_L85_); trivial. % 0.86/1.09 apply (zenon_L316_); trivial. % 0.86/1.09 (* end of lemma zenon_L317_ *) % 0.86/1.09 assert (zenon_L318_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1d5 zenon_H13e zenon_H159 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H83 zenon_H8c zenon_H82 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.86/1.09 apply (zenon_L205_); trivial. % 0.86/1.09 apply (zenon_L317_); trivial. % 0.86/1.09 (* end of lemma zenon_L318_ *) % 0.86/1.09 assert (zenon_L319_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.09 apply (zenon_L314_); trivial. % 0.86/1.09 apply (zenon_L318_); trivial. % 0.86/1.09 (* end of lemma zenon_L319_ *) % 0.86/1.09 assert (zenon_L320_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H1d8 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152 zenon_H45 zenon_H2c zenon_H43 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H1d3 zenon_H151. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.09 apply (zenon_L313_); trivial. % 0.86/1.09 apply (zenon_L319_); trivial. % 0.86/1.09 (* end of lemma zenon_L320_ *) % 0.86/1.09 assert (zenon_L321_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp20)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp22)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1c0 zenon_H31 zenon_H19c zenon_H16c zenon_H174 zenon_H16d zenon_H19e zenon_H43 zenon_H1e6 zenon_H98 zenon_Hb1 zenon_H62 zenon_H61 zenon_H60 zenon_H1e4 zenon_H45 zenon_H2c. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.86/1.09 apply (zenon_L143_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.86/1.09 apply (zenon_L203_); trivial. % 0.86/1.09 exact (zenon_H2c zenon_H2d). % 0.86/1.09 (* end of lemma zenon_L321_ *) % 0.86/1.09 assert (zenon_L322_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H19c zenon_H1e6 zenon_H45 zenon_H2c zenon_H43 zenon_H60 zenon_H61 zenon_H62 zenon_H31 zenon_H1d9. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L306_); trivial. % 0.86/1.09 apply (zenon_L321_); trivial. % 0.86/1.09 apply (zenon_L146_); trivial. % 0.86/1.09 (* end of lemma zenon_L322_ *) % 0.86/1.09 assert (zenon_L323_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H14c zenon_H1d8 zenon_H45 zenon_H2c zenon_H43 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H152. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L306_); trivial. % 0.86/1.09 apply (zenon_L123_); trivial. % 0.86/1.09 apply (zenon_L148_); trivial. % 0.86/1.09 apply (zenon_L129_); trivial. % 0.86/1.09 (* end of lemma zenon_L323_ *) % 0.86/1.09 assert (zenon_L324_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H151 zenon_H1d8 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H152 zenon_H12d zenon_H7e zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.86/1.09 apply (zenon_L309_); trivial. % 0.86/1.09 apply (zenon_L323_); trivial. % 0.86/1.09 (* end of lemma zenon_L324_ *) % 0.86/1.09 assert (zenon_L325_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.09 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1db zenon_H1fd zenon_H31 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H18e zenon_Hae zenon_H17c zenon_H151 zenon_H14d zenon_H12d zenon_H13e zenon_H159 zenon_H13f zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H164 zenon_Haa zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_H1d3 zenon_H152 zenon_H1c1 zenon_H1d8 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.09 apply (zenon_L101_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.09 apply (zenon_L307_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.09 apply (zenon_L310_); trivial. % 0.86/1.09 apply (zenon_L251_); trivial. % 0.86/1.09 apply (zenon_L311_); trivial. % 0.86/1.09 apply (zenon_L320_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.86/1.09 apply (zenon_L307_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.09 apply (zenon_L322_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.09 apply (zenon_L324_); trivial. % 0.86/1.09 apply (zenon_L251_); trivial. % 0.86/1.09 apply (zenon_L311_); trivial. % 0.86/1.09 apply (zenon_L320_); trivial. % 0.86/1.09 (* end of lemma zenon_L325_ *) % 0.86/1.09 assert (zenon_L326_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H152 zenon_H13e zenon_H159 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H83 zenon_H8c zenon_H82 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H1be zenon_H1c1 zenon_H1d9. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L240_); trivial. % 0.86/1.09 apply (zenon_L123_); trivial. % 0.86/1.09 apply (zenon_L87_); trivial. % 0.86/1.09 (* end of lemma zenon_L326_ *) % 0.86/1.09 assert (zenon_L327_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H45 zenon_H2c zenon_H43 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.09 apply (zenon_L326_); trivial. % 0.86/1.09 apply (zenon_L129_); trivial. % 0.86/1.09 (* end of lemma zenon_L327_ *) % 0.86/1.09 assert (zenon_L328_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1dc zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152 zenon_H45 zenon_H2c zenon_H43 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.09 apply (zenon_L310_); trivial. % 0.86/1.09 apply (zenon_L327_); trivial. % 0.86/1.09 (* end of lemma zenon_L328_ *) % 0.86/1.09 assert (zenon_L329_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1dc zenon_Haa zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H159 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0 zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H43 zenon_H45 zenon_H1d8 zenon_H151. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.09 apply (zenon_L150_); trivial. % 0.86/1.09 apply (zenon_L327_); trivial. % 0.86/1.09 (* end of lemma zenon_L329_ *) % 0.86/1.09 assert (zenon_L330_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.86/1.09 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1e0 zenon_H1fd zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H159 zenon_H13e zenon_H152 zenon_H12d zenon_H14d zenon_H151 zenon_H1d9 zenon_H1e6 zenon_H19e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H1fc zenon_Hd0 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.86/1.09 apply (zenon_L101_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.86/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.09 apply (zenon_L147_); trivial. % 0.86/1.09 apply (zenon_L328_); trivial. % 0.86/1.09 apply (zenon_L56_); trivial. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.86/1.09 apply (zenon_L147_); trivial. % 0.86/1.09 apply (zenon_L329_); trivial. % 0.86/1.09 (* end of lemma zenon_L330_ *) % 0.86/1.09 assert (zenon_L331_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_He7 zenon_H58 zenon_H18e zenon_H2e zenon_H2a zenon_H239 zenon_Heb zenon_H206 zenon_H208 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_Hd0 zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H19e zenon_H1e6 zenon_H1d9 zenon_H151 zenon_H14d zenon_H12d zenon_H152 zenon_H13e zenon_H159 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1fd zenon_H1e0 zenon_He3 zenon_Hb2. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.86/1.09 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.09 apply (zenon_L330_); trivial. % 0.86/1.09 apply (zenon_L236_); trivial. % 0.86/1.09 (* end of lemma zenon_L331_ *) % 0.86/1.09 assert (zenon_L332_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H211 zenon_Hd0 zenon_H1e0 zenon_Hb2 zenon_He3 zenon_H1db zenon_H1fd zenon_H31 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H18e zenon_Hae zenon_H17c zenon_H151 zenon_H14d zenon_H12d zenon_H13e zenon_H159 zenon_H13f zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H164 zenon_Haa zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_H1d3 zenon_H152 zenon_H1c1 zenon_H1d8 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H2c zenon_H45 zenon_H208 zenon_H206 zenon_Heb zenon_H2a zenon_H2e zenon_H58. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.86/1.09 apply (zenon_L325_); trivial. % 0.86/1.09 apply (zenon_L236_); trivial. % 0.86/1.09 apply (zenon_L331_); trivial. % 0.86/1.09 (* end of lemma zenon_L332_ *) % 0.86/1.09 assert (zenon_L333_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H10a zenon_H211 zenon_He3 zenon_Haa zenon_H23b zenon_H13e zenon_H12d zenon_H1e0 zenon_H1fd zenon_H31 zenon_H151 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H18e zenon_H2e zenon_H1a3 zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H180 zenon_H1da zenon_H108 zenon_H2a zenon_H152 zenon_H35 zenon_H1db zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H51 zenon_H54 zenon_H58. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.86/1.09 apply (zenon_L131_); trivial. % 0.86/1.09 apply (zenon_L198_); trivial. % 0.86/1.09 (* end of lemma zenon_L333_ *) % 0.86/1.09 assert (zenon_L334_ : ((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H255 zenon_H167 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H58 zenon_H2e zenon_H2a zenon_Heb zenon_H206 zenon_H208 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d8 zenon_H1c1 zenon_H152 zenon_H1d3 zenon_H1d9 zenon_H239 zenon_H236 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_Haa zenon_H164 zenon_H72 zenon_H13f zenon_H159 zenon_H13e zenon_H12d zenon_H14d zenon_H151 zenon_H17c zenon_Hae zenon_H18e zenon_H1fc zenon_H19e zenon_H1e6 zenon_H31 zenon_H1fd zenon_H1db zenon_He3 zenon_Hb2 zenon_H1e0 zenon_Hd0 zenon_H211. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.86/1.09 apply (zenon_L332_); trivial. % 0.86/1.09 apply (zenon_L268_); trivial. % 0.86/1.09 (* end of lemma zenon_L334_ *) % 0.86/1.09 assert (zenon_L335_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1a3 zenon_Hec zenon_Hed zenon_H22b zenon_H248 zenon_H22a zenon_Hea zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.86/1.09 apply (zenon_L124_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.86/1.09 apply (zenon_L228_); trivial. % 0.86/1.09 apply (zenon_L114_); trivial. % 0.86/1.09 (* end of lemma zenon_L335_ *) % 0.86/1.09 assert (zenon_L336_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1e2 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H22a zenon_H248 zenon_H22b zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.86/1.09 apply (zenon_L168_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.86/1.09 apply (zenon_L335_); trivial. % 0.86/1.09 exact (zenon_H1b3 zenon_H1b4). % 0.86/1.09 (* end of lemma zenon_L336_ *) % 0.86/1.09 assert (zenon_L337_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1d9 zenon_H239 zenon_H17e zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L336_); trivial. % 0.86/1.09 apply (zenon_L175_); trivial. % 0.86/1.09 (* end of lemma zenon_L337_ *) % 0.86/1.09 assert (zenon_L338_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H19c zenon_Hb1 zenon_H98 zenon_H1e6 zenon_H43 zenon_H2c zenon_H45 zenon_H1d9. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L336_); trivial. % 0.86/1.09 apply (zenon_L144_); trivial. % 0.86/1.09 apply (zenon_L146_); trivial. % 0.86/1.09 (* end of lemma zenon_L338_ *) % 0.86/1.09 assert (zenon_L339_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1d9 zenon_H1c1 zenon_H1be zenon_H117 zenon_H13f zenon_H59 zenon_H236 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H82 zenon_H8c zenon_H83 zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H159 zenon_H13e. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.86/1.09 apply (zenon_L231_); trivial. % 0.86/1.09 apply (zenon_L123_); trivial. % 0.86/1.09 (* end of lemma zenon_L339_ *) % 0.86/1.09 assert (zenon_L340_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp19)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H152 zenon_H6e zenon_H72 zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H83 zenon_H8c zenon_H82 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H236 zenon_H59 zenon_H13f zenon_H1be zenon_H1c1 zenon_H1d9. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.86/1.09 apply (zenon_L339_); trivial. % 0.86/1.09 apply (zenon_L278_); trivial. % 0.86/1.09 (* end of lemma zenon_L340_ *) % 0.86/1.09 assert (zenon_L341_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H45 zenon_H2c zenon_H43 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H159 zenon_H13e zenon_H72 zenon_H6e zenon_H152. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.86/1.09 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.86/1.09 apply (zenon_L340_); trivial. % 0.86/1.09 apply (zenon_L129_); trivial. % 0.86/1.09 (* end of lemma zenon_L341_ *) % 0.86/1.09 assert (zenon_L342_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.86/1.09 do 0 intro. intros zenon_H1dc zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H159 zenon_H13e zenon_H72 zenon_H6e zenon_H152 zenon_H45 zenon_H2c zenon_H43 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.86/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.86/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.86/1.09 apply (zenon_L310_); trivial. % 0.86/1.09 apply (zenon_L341_); trivial. % 0.86/1.09 (* end of lemma zenon_L342_ *) % 0.86/1.09 assert (zenon_L343_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.86/1.09 do 0 intro. intros zenon_H17c zenon_H184 zenon_H183 zenon_H182 zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_Hbf. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H1a | zenon_intro zenon_H17d ]. % 0.86/1.09 apply (zenon_L108_); trivial. % 0.86/1.09 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H74 | zenon_intro zenon_Hc0 ]. % 0.86/1.09 apply (zenon_L171_); trivial. % 0.86/1.09 exact (zenon_Hbf zenon_Hc0). % 0.86/1.09 (* end of lemma zenon_L343_ *) % 0.86/1.09 assert (zenon_L344_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(hskp19)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp17)) -> (ndr1_0) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(c2_1 (a159))) -> (~(c3_1 (a159))) -> (c0_1 (a159)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp28)) -> False). % 0.94/1.09 do 0 intro. intros zenon_H1e2 zenon_H70 zenon_H6e zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_Hbf zenon_Hf zenon_H22a zenon_H22b zenon_H182 zenon_H183 zenon_H184 zenon_H17c zenon_H1b3. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.09 apply (zenon_L182_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.09 apply (zenon_L343_); trivial. % 0.94/1.09 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.09 (* end of lemma zenon_L344_ *) % 0.94/1.09 assert (zenon_L345_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H151 zenon_H1d8 zenon_H1d3 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H1d9 zenon_H1c1 zenon_H72 zenon_H70 zenon_H6e zenon_H21b zenon_H214 zenon_H213 zenon_H17c zenon_Hbf zenon_H22b zenon_H22a zenon_H184 zenon_H183 zenon_H182 zenon_H1e2 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H152 zenon_H12d zenon_H7e zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.09 apply (zenon_L309_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.09 apply (zenon_L344_); trivial. % 0.94/1.09 apply (zenon_L123_); trivial. % 0.94/1.09 apply (zenon_L148_); trivial. % 0.94/1.09 apply (zenon_L129_); trivial. % 0.94/1.09 (* end of lemma zenon_L345_ *) % 0.94/1.09 assert (zenon_L346_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.09 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1fd zenon_H18e zenon_Hae zenon_H17c zenon_H1fc zenon_H19e zenon_H1e6 zenon_H151 zenon_H14d zenon_H12d zenon_H152 zenon_H72 zenon_H13e zenon_H159 zenon_H13f zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.09 apply (zenon_L101_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.09 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.09 apply (zenon_L337_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.09 apply (zenon_L338_); trivial. % 0.94/1.09 apply (zenon_L342_); trivial. % 0.94/1.09 apply (zenon_L311_); trivial. % 0.94/1.09 apply (zenon_L320_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.09 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.09 apply (zenon_L307_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.09 apply (zenon_L338_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.09 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.09 apply (zenon_L345_); trivial. % 0.94/1.09 apply (zenon_L341_); trivial. % 0.94/1.09 apply (zenon_L311_); trivial. % 0.94/1.09 apply (zenon_L320_); trivial. % 0.94/1.09 (* end of lemma zenon_L346_ *) % 0.94/1.09 assert (zenon_L347_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H58 zenon_H2e zenon_H2a zenon_Heb zenon_H206 zenon_H208 zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H13f zenon_H159 zenon_H13e zenon_H72 zenon_H152 zenon_H12d zenon_H14d zenon_H151 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H17c zenon_Hae zenon_H18e zenon_H1fd zenon_He3 zenon_Hb2. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.09 apply (zenon_L346_); trivial. % 0.94/1.09 apply (zenon_L236_); trivial. % 0.94/1.09 (* end of lemma zenon_L347_ *) % 0.94/1.09 assert (zenon_L348_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_H211 zenon_Hd0 zenon_H1e0 zenon_Hb2 zenon_He3 zenon_H1fd zenon_H18e zenon_Hae zenon_H17c zenon_H1fc zenon_H19e zenon_H1e6 zenon_H151 zenon_H14d zenon_H12d zenon_H152 zenon_H72 zenon_H13e zenon_H159 zenon_H13f zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H2c zenon_H45 zenon_H208 zenon_H206 zenon_Heb zenon_H2a zenon_H2e zenon_H58. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.09 apply (zenon_L347_); trivial. % 0.94/1.09 apply (zenon_L331_); trivial. % 0.94/1.09 (* end of lemma zenon_L348_ *) % 0.94/1.09 assert (zenon_L349_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.09 do 0 intro. intros zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_Hcd zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45 zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_Haa. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.09 apply (zenon_L310_); trivial. % 0.94/1.09 apply (zenon_L185_); trivial. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.09 apply (zenon_L313_); trivial. % 0.94/1.09 apply (zenon_L185_); trivial. % 0.94/1.09 (* end of lemma zenon_L349_ *) % 0.94/1.09 assert (zenon_L350_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 0.94/1.09 do 0 intro. intros zenon_H240 zenon_H8c zenon_H83 zenon_H82 zenon_H91 zenon_H98 zenon_Hb1 zenon_H10 zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.94/1.09 apply (zenon_L42_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.94/1.09 apply (zenon_L103_); trivial. % 0.94/1.09 apply (zenon_L68_); trivial. % 0.94/1.09 (* end of lemma zenon_L350_ *) % 0.94/1.09 assert (zenon_L351_ : (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (ndr1_0) -> (~(c1_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> False). % 0.94/1.09 do 0 intro. intros zenon_H96 zenon_Hf zenon_H97 zenon_H10 zenon_Hb1 zenon_H98. % 0.94/1.09 generalize (zenon_H96 (a149)). zenon_intro zenon_H9d. % 0.94/1.09 apply (zenon_imply_s _ _ zenon_H9d); [ zenon_intro zenon_He | zenon_intro zenon_H9e ]. % 0.94/1.09 exact (zenon_He zenon_Hf). % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9e); [ zenon_intro zenon_Ha0 | zenon_intro zenon_H9f ]. % 0.94/1.09 exact (zenon_H97 zenon_Ha0). % 0.94/1.09 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.94/1.09 apply (zenon_L102_); trivial. % 0.94/1.09 exact (zenon_Ha1 zenon_H98). % 0.94/1.09 (* end of lemma zenon_L351_ *) % 0.94/1.09 assert (zenon_L352_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.94/1.09 do 0 intro. intros zenon_H45 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H96 zenon_H43 zenon_H2c. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.94/1.09 apply (zenon_L351_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.94/1.09 exact (zenon_H43 zenon_H44). % 0.94/1.09 exact (zenon_H2c zenon_H2d). % 0.94/1.09 (* end of lemma zenon_L352_ *) % 0.94/1.09 assert (zenon_L353_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.94/1.09 do 0 intro. intros zenon_Ha4 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H240 zenon_H103 zenon_Hfa zenon_Hfc zenon_H45 zenon_H98 zenon_Hb1 zenon_H97 zenon_H43 zenon_H2c. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.09 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.09 apply (zenon_L90_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.94/1.09 apply (zenon_L350_); trivial. % 0.94/1.09 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.94/1.09 exact (zenon_H43 zenon_H44). % 0.94/1.09 exact (zenon_H2c zenon_H2d). % 0.94/1.09 apply (zenon_L352_); trivial. % 0.94/1.09 (* end of lemma zenon_L353_ *) % 0.94/1.09 assert (zenon_L354_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hdf zenon_Haa zenon_Ha5 zenon_H97 zenon_H240 zenon_H98 zenon_Hb1 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_H43 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H31 zenon_H151. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.10 apply (zenon_L309_); trivial. % 0.94/1.10 apply (zenon_L195_); trivial. % 0.94/1.10 apply (zenon_L353_); trivial. % 0.94/1.10 (* end of lemma zenon_L354_ *) % 0.94/1.10 assert (zenon_L355_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H1fd zenon_H31 zenon_Haa zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L101_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.10 apply (zenon_L349_); trivial. % 0.94/1.10 apply (zenon_L354_); trivial. % 0.94/1.10 (* end of lemma zenon_L355_ *) % 0.94/1.10 assert (zenon_L356_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H58 zenon_H54 zenon_H51 zenon_H2a zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_H12d zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_Haa zenon_H31 zenon_H1fd zenon_H15b zenon_H15c zenon_H15d zenon_H240 zenon_Ha5 zenon_He3 zenon_Hb2. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.10 apply (zenon_L355_); trivial. % 0.94/1.10 apply (zenon_L26_); trivial. % 0.94/1.10 (* end of lemma zenon_L356_ *) % 0.94/1.10 assert (zenon_L357_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H10a zenon_H211 zenon_H23b zenon_H13e zenon_H1e0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hb2 zenon_He3 zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H1fd zenon_H31 zenon_Haa zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H2a zenon_H51 zenon_H54 zenon_H58. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.10 apply (zenon_L356_); trivial. % 0.94/1.10 apply (zenon_L198_); trivial. % 0.94/1.10 (* end of lemma zenon_L357_ *) % 0.94/1.10 assert (zenon_L358_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hb2 zenon_Hd4 zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H35 zenon_H1fc zenon_H31 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H1e2 zenon_H19e zenon_H1e6 zenon_H1d9 zenon_H59 zenon_H246 zenon_H1db zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L101_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.10 apply (zenon_L173_); trivial. % 0.94/1.10 apply (zenon_L144_); trivial. % 0.94/1.10 apply (zenon_L146_); trivial. % 0.94/1.10 apply (zenon_L210_); trivial. % 0.94/1.10 apply (zenon_L176_); trivial. % 0.94/1.10 (* end of lemma zenon_L358_ *) % 0.94/1.10 assert (zenon_L359_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Had zenon_Hd4 zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H35 zenon_H1fc zenon_H31 zenon_H43 zenon_H2c zenon_H45 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H1e2 zenon_H19e zenon_H16d zenon_H174 zenon_H16c zenon_H1e6 zenon_H1d9 zenon_H59 zenon_H246 zenon_H1db. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.10 apply (zenon_L179_); trivial. % 0.94/1.10 apply (zenon_L144_); trivial. % 0.94/1.10 apply (zenon_L146_); trivial. % 0.94/1.10 apply (zenon_L210_); trivial. % 0.94/1.10 apply (zenon_L176_); trivial. % 0.94/1.10 (* end of lemma zenon_L359_ *) % 0.94/1.10 assert (zenon_L360_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H180 zenon_H35 zenon_H1fc zenon_H31 zenon_H43 zenon_H2c zenon_H45 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H1e2 zenon_H19e zenon_H16d zenon_H174 zenon_H16c zenon_H1e6 zenon_H1d9 zenon_H59 zenon_H246 zenon_H1db zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L88_); trivial. % 0.94/1.10 apply (zenon_L359_); trivial. % 0.94/1.10 (* end of lemma zenon_L360_ *) % 0.94/1.10 assert (zenon_L361_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H1db zenon_H246 zenon_H59 zenon_H1d9 zenon_H1e6 zenon_H16c zenon_H174 zenon_H16d zenon_H19e zenon_H1e2 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_H45 zenon_H2c zenon_H31 zenon_H1fc zenon_H35 zenon_H180 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.10 apply (zenon_L360_); trivial. % 0.94/1.10 apply (zenon_L302_); trivial. % 0.94/1.10 (* end of lemma zenon_L361_ *) % 0.94/1.10 assert (zenon_L362_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_Hb1 zenon_H10 zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.94/1.10 apply (zenon_L16_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.94/1.10 apply (zenon_L103_); trivial. % 0.94/1.10 apply (zenon_L68_); trivial. % 0.94/1.10 (* end of lemma zenon_L362_ *) % 0.94/1.10 assert (zenon_L363_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp3)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H14c zenon_H31 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hb1 zenon_H98 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H2c. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.94/1.10 apply (zenon_L362_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.94/1.10 apply (zenon_L82_); trivial. % 0.94/1.10 exact (zenon_H2c zenon_H2d). % 0.94/1.10 (* end of lemma zenon_L363_ *) % 0.94/1.10 assert (zenon_L364_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H151 zenon_H31 zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1e0 zenon_H2c zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H7e zenon_H12d zenon_H13e. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.10 apply (zenon_L133_); trivial. % 0.94/1.10 apply (zenon_L363_); trivial. % 0.94/1.10 (* end of lemma zenon_L364_ *) % 0.94/1.10 assert (zenon_L365_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hb2 zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1e0 zenon_H240 zenon_Hfc zenon_Hfa zenon_H103 zenon_H1e zenon_H1d zenon_H1c zenon_H31 zenon_H151 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L101_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.10 apply (zenon_L364_); trivial. % 0.94/1.10 apply (zenon_L287_); trivial. % 0.94/1.10 (* end of lemma zenon_L365_ *) % 0.94/1.10 assert (zenon_L366_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_Hd4 zenon_Hd0 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H152 zenon_He3 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H151 zenon_H31 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1e0 zenon_H12d zenon_H13e zenon_H159 zenon_Haa zenon_Hb2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.10 apply (zenon_L365_); trivial. % 0.94/1.10 apply (zenon_L302_); trivial. % 0.94/1.10 (* end of lemma zenon_L366_ *) % 0.94/1.10 assert (zenon_L367_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H10a zenon_H211 zenon_H264 zenon_H206 zenon_H208 zenon_Hd0 zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H152 zenon_H1c zenon_H1d zenon_H1e zenon_H1e0 zenon_H13e zenon_Hb2 zenon_He3 zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H1fd zenon_H31 zenon_Haa zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H2a zenon_H51 zenon_H54 zenon_H58. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.10 apply (zenon_L356_); trivial. % 0.94/1.10 apply (zenon_L366_); trivial. % 0.94/1.10 (* end of lemma zenon_L367_ *) % 0.94/1.10 assert (zenon_L368_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hb2 zenon_H1db zenon_H246 zenon_H59 zenon_H31 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H3 zenon_H18f zenon_H19e zenon_H1fc zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L101_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.10 apply (zenon_L204_); trivial. % 0.94/1.10 apply (zenon_L146_); trivial. % 0.94/1.10 apply (zenon_L210_); trivial. % 0.94/1.10 (* end of lemma zenon_L368_ *) % 0.94/1.10 assert (zenon_L369_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He3 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1fc zenon_H19e zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H31 zenon_H59 zenon_H246 zenon_H1db zenon_Hb2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.10 apply (zenon_L368_); trivial. % 0.94/1.10 apply (zenon_L302_); trivial. % 0.94/1.10 (* end of lemma zenon_L369_ *) % 0.94/1.10 assert (zenon_L370_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp22)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1e6 zenon_H22b zenon_H22a zenon_Hea zenon_H62 zenon_H61 zenon_H1b zenon_H60 zenon_Hf zenon_H1e4. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1e6); [ zenon_intro zenon_H74 | zenon_intro zenon_H1e7 ]. % 0.94/1.10 apply (zenon_L171_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1e7); [ zenon_intro zenon_H5f | zenon_intro zenon_H1e5 ]. % 0.94/1.10 apply (zenon_L200_); trivial. % 0.94/1.10 exact (zenon_H1e4 zenon_H1e5). % 0.94/1.10 (* end of lemma zenon_L370_ *) % 0.94/1.10 assert (zenon_L371_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp22)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H18f zenon_H1e4 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_H3. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.94/1.10 apply (zenon_L370_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.94/1.10 apply (zenon_L171_); trivial. % 0.94/1.10 exact (zenon_H3 zenon_H4). % 0.94/1.10 (* end of lemma zenon_L371_ *) % 0.94/1.10 assert (zenon_L372_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp28)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1e2 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H3 zenon_Hf zenon_H22a zenon_H22b zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H1e4 zenon_H18f zenon_H1b3. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.10 apply (zenon_L168_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.10 apply (zenon_L371_); trivial. % 0.94/1.10 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.10 (* end of lemma zenon_L372_ *) % 0.94/1.10 assert (zenon_L373_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1d9 zenon_H239 zenon_H17e zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H18f zenon_H3 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H1e2. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.10 apply (zenon_L372_); trivial. % 0.94/1.10 apply (zenon_L175_); trivial. % 0.94/1.10 (* end of lemma zenon_L373_ *) % 0.94/1.10 assert (zenon_L374_ : ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1db zenon_H246 zenon_H1d9 zenon_H239 zenon_H17e zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H18f zenon_H3 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H1e2 zenon_H16c zenon_H174 zenon_H16d zenon_H19e zenon_H1fc. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.10 apply (zenon_L373_); trivial. % 0.94/1.10 apply (zenon_L146_); trivial. % 0.94/1.10 apply (zenon_L210_); trivial. % 0.94/1.10 (* end of lemma zenon_L374_ *) % 0.94/1.10 assert (zenon_L375_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H18e zenon_H2e zenon_H2c zenon_H2a zenon_H1fc zenon_H19e zenon_H16d zenon_H174 zenon_H16c zenon_H1e2 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H22b zenon_H22a zenon_H3 zenon_H18f zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_H246 zenon_H1db. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.10 apply (zenon_L374_); trivial. % 0.94/1.10 apply (zenon_L109_); trivial. % 0.94/1.10 (* end of lemma zenon_L375_ *) % 0.94/1.10 assert (zenon_L376_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H22a zenon_H248 zenon_H22b zenon_Hed zenon_Hec zenon_H1a3 zenon_H1b3. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.10 apply (zenon_L50_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.10 apply (zenon_L335_); trivial. % 0.94/1.10 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.10 (* end of lemma zenon_L376_ *) % 0.94/1.10 assert (zenon_L377_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H19e zenon_H19c zenon_Hb1 zenon_H98 zenon_H1e6 zenon_H43 zenon_H2c zenon_H45 zenon_H1d9. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.10 apply (zenon_L376_); trivial. % 0.94/1.10 apply (zenon_L144_); trivial. % 0.94/1.10 apply (zenon_L146_); trivial. % 0.94/1.10 (* end of lemma zenon_L377_ *) % 0.94/1.10 assert (zenon_L378_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H1e0 zenon_H14d zenon_H151 zenon_H1d9 zenon_H45 zenon_H2c zenon_H43 zenon_H1e6 zenon_H19e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H1fc zenon_Hd0 zenon_Hd4. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.10 apply (zenon_L377_); trivial. % 0.94/1.10 apply (zenon_L140_); trivial. % 0.94/1.10 apply (zenon_L56_); trivial. % 0.94/1.10 apply (zenon_L151_); trivial. % 0.94/1.10 (* end of lemma zenon_L378_ *) % 0.94/1.10 assert (zenon_L379_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hb2 zenon_H1fd zenon_H1db zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H1e0 zenon_H1d9 zenon_H45 zenon_H2c zenon_H43 zenon_H1e6 zenon_H19e zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H1fc zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L88_); trivial. % 0.94/1.10 apply (zenon_L378_); trivial. % 0.94/1.10 (* end of lemma zenon_L379_ *) % 0.94/1.10 assert (zenon_L380_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_H19e zenon_H1e6 zenon_H2c zenon_H45 zenon_H1d9 zenon_H1e0 zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_H1db zenon_H1fd zenon_Hb2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.10 apply (zenon_L379_); trivial. % 0.94/1.10 apply (zenon_L302_); trivial. % 0.94/1.10 (* end of lemma zenon_L380_ *) % 0.94/1.10 assert (zenon_L381_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_Hd0 zenon_H1a3 zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_H1e2 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1fc zenon_H1e6 zenon_H1fd zenon_He3 zenon_Hb2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.10 apply (zenon_L152_); trivial. % 0.94/1.10 apply (zenon_L302_); trivial. % 0.94/1.10 (* end of lemma zenon_L381_ *) % 0.94/1.10 assert (zenon_L382_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a135))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> (~(hskp2)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H10a zenon_H211 zenon_H264 zenon_H206 zenon_H208 zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_Hd0 zenon_H1a3 zenon_Heb zenon_Hed zenon_Hec zenon_H19e zenon_H1e0 zenon_H13e zenon_H152 zenon_H1e2 zenon_H1c1 zenon_H1d9 zenon_H1d8 zenon_H1db zenon_H1fc zenon_H1e6 zenon_Hb2 zenon_He3 zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H1fd zenon_H31 zenon_Haa zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H2a zenon_H51 zenon_H54 zenon_H58. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.10 apply (zenon_L356_); trivial. % 0.94/1.10 apply (zenon_L381_); trivial. % 0.94/1.10 (* end of lemma zenon_L382_ *) % 0.94/1.10 assert (zenon_L383_ : (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H91 zenon_Hf zenon_H268 zenon_H269 zenon_H26a. % 0.94/1.10 generalize (zenon_H91 (a128)). zenon_intro zenon_H26b. % 0.94/1.10 apply (zenon_imply_s _ _ zenon_H26b); [ zenon_intro zenon_He | zenon_intro zenon_H26c ]. % 0.94/1.10 exact (zenon_He zenon_Hf). % 0.94/1.10 apply (zenon_or_s _ _ zenon_H26c); [ zenon_intro zenon_H26e | zenon_intro zenon_H26d ]. % 0.94/1.10 exact (zenon_H268 zenon_H26e). % 0.94/1.10 apply (zenon_or_s _ _ zenon_H26d); [ zenon_intro zenon_H270 | zenon_intro zenon_H26f ]. % 0.94/1.10 exact (zenon_H269 zenon_H270). % 0.94/1.10 exact (zenon_H26a zenon_H26f). % 0.94/1.10 (* end of lemma zenon_L383_ *) % 0.94/1.10 assert (zenon_L384_ : ((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp9)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H30 zenon_H271 zenon_H26a zenon_H269 zenon_H268 zenon_H6. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H91 | zenon_intro zenon_H272 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H10 | zenon_intro zenon_H7 ]. % 0.94/1.10 apply (zenon_L9_); trivial. % 0.94/1.10 exact (zenon_H6 zenon_H7). % 0.94/1.10 (* end of lemma zenon_L384_ *) % 0.94/1.10 assert (zenon_L385_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H35 zenon_H271 zenon_H26a zenon_H269 zenon_H268 zenon_H6 zenon_Ha zenon_Hc. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.94/1.10 apply (zenon_L7_); trivial. % 0.94/1.10 apply (zenon_L384_); trivial. % 0.94/1.10 (* end of lemma zenon_L385_ *) % 0.94/1.10 assert (zenon_L386_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (~(hskp27)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H96 zenon_H117. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.10 apply (zenon_L351_); trivial. % 0.94/1.10 exact (zenon_H117 zenon_H118). % 0.94/1.10 (* end of lemma zenon_L386_ *) % 0.94/1.10 assert (zenon_L387_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c1_1 (a183))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.94/1.10 do 0 intro. intros zenon_Ha5 zenon_H3b zenon_H39 zenon_H82 zenon_H83 zenon_H8c zenon_H3e zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H117. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.10 apply (zenon_L41_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_L386_); trivial. % 0.94/1.10 (* end of lemma zenon_L387_ *) % 0.94/1.10 assert (zenon_L388_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H3e zenon_H3b zenon_H39 zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.10 apply (zenon_L387_); trivial. % 0.94/1.10 apply (zenon_L87_); trivial. % 0.94/1.10 (* end of lemma zenon_L388_ *) % 0.94/1.10 assert (zenon_L389_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Had zenon_Haa zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H3e zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H80 zenon_H3b zenon_H39 zenon_Ha3. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.10 apply (zenon_L63_); trivial. % 0.94/1.10 apply (zenon_L388_); trivial. % 0.94/1.10 (* end of lemma zenon_L389_ *) % 0.94/1.10 assert (zenon_L390_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H211 zenon_H152 zenon_H159 zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3 zenon_H5d zenon_H3b zenon_H59 zenon_H3e zenon_H39 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H80 zenon_Ha3 zenon_Ha5 zenon_Haa zenon_Hae zenon_Hb2. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.10 apply (zenon_L49_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L60_); trivial. % 0.94/1.10 apply (zenon_L389_); trivial. % 0.94/1.10 (* end of lemma zenon_L390_ *) % 0.94/1.10 assert (zenon_L391_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp27)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H2a zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc zenon_H95 zenon_Heb zenon_Hec zenon_Hed zenon_H108 zenon_H117. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.10 apply (zenon_L69_); trivial. % 0.94/1.10 exact (zenon_H117 zenon_H118). % 0.94/1.10 (* end of lemma zenon_L391_ *) % 0.94/1.10 assert (zenon_L392_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp27)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (ndr1_0) -> (~(hskp1)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.94/1.10 do 0 intro. intros zenon_Ha3 zenon_H117 zenon_H108 zenon_Hed zenon_Hec zenon_Heb zenon_Hfc zenon_Hfa zenon_H103 zenon_Hf zenon_H2a zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H39 zenon_H3b. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.94/1.10 apply (zenon_L391_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.94/1.10 exact (zenon_H39 zenon_H3a). % 0.94/1.10 exact (zenon_H3b zenon_H3c). % 0.94/1.10 (* end of lemma zenon_L392_ *) % 0.94/1.10 assert (zenon_L393_ : ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (c3_1 (a137)) -> (c2_1 (a137)) -> (c1_1 (a137)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H108 zenon_Hed zenon_Hec zenon_Heb zenon_H95 zenon_H11f zenon_H11e zenon_H11d zenon_Hf zenon_H2a. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hea | zenon_intro zenon_H109 ]. % 0.94/1.10 apply (zenon_L66_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H2b ]. % 0.94/1.10 apply (zenon_L86_); trivial. % 0.94/1.10 exact (zenon_H2a zenon_H2b). % 0.94/1.10 (* end of lemma zenon_L393_ *) % 0.94/1.10 assert (zenon_L394_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp1)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H13d zenon_Ha3 zenon_H2a zenon_Heb zenon_Hec zenon_Hed zenon_H108 zenon_H39 zenon_H3b. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.94/1.10 apply (zenon_L393_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.94/1.10 exact (zenon_H39 zenon_H3a). % 0.94/1.10 exact (zenon_H3b zenon_H3c). % 0.94/1.10 (* end of lemma zenon_L394_ *) % 0.94/1.10 assert (zenon_L395_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H10a zenon_H152 zenon_H273 zenon_Heb zenon_Hec zenon_Hed zenon_H2a zenon_H108 zenon_H26a zenon_H269 zenon_H268 zenon_H39 zenon_H3b zenon_Ha3. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.10 apply (zenon_L392_); trivial. % 0.94/1.10 apply (zenon_L394_); trivial. % 0.94/1.10 (* end of lemma zenon_L395_ *) % 0.94/1.10 assert (zenon_L396_ : ((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H275 zenon_H254 zenon_H167 zenon_H25a zenon_Hb2 zenon_Hae zenon_Haa zenon_Ha5 zenon_Ha3 zenon_H80 zenon_H72 zenon_H39 zenon_H3e zenon_H3b zenon_H5d zenon_He3 zenon_He0 zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H273 zenon_H211 zenon_Hc zenon_Ha zenon_H268 zenon_H269 zenon_H26a zenon_H271 zenon_H35. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.94/1.10 apply (zenon_L385_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.10 apply (zenon_L49_); trivial. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.10 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.10 apply (zenon_L88_); trivial. % 0.94/1.10 apply (zenon_L389_); trivial. % 0.94/1.10 apply (zenon_L268_); trivial. % 0.94/1.10 (* end of lemma zenon_L396_ *) % 0.94/1.10 assert (zenon_L397_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp28)) -> (~(hskp13)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1da zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H5b zenon_He0 zenon_H1b3 zenon_H70. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H10 | zenon_intro zenon_H1df ]. % 0.94/1.10 apply (zenon_L100_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H71 ]. % 0.94/1.10 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.10 exact (zenon_H70 zenon_H71). % 0.94/1.10 (* end of lemma zenon_L397_ *) % 0.94/1.10 assert (zenon_L398_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp19)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H6e zenon_H72 zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.10 apply (zenon_L397_); trivial. % 0.94/1.10 apply (zenon_L250_); trivial. % 0.94/1.10 (* end of lemma zenon_L398_ *) % 0.94/1.10 assert (zenon_L399_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp27)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H5b zenon_He0 zenon_H117. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.10 apply (zenon_L100_); trivial. % 0.94/1.10 exact (zenon_H117 zenon_H118). % 0.94/1.10 (* end of lemma zenon_L399_ *) % 0.94/1.10 assert (zenon_L400_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Ha9 zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H268 zenon_H269 zenon_H26a zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H16c zenon_H273. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.10 apply (zenon_L399_); trivial. % 0.94/1.10 apply (zenon_L261_); trivial. % 0.94/1.10 (* end of lemma zenon_L400_ *) % 0.94/1.10 assert (zenon_L401_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Hae zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H1da zenon_H70 zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H5b zenon_He0 zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H164 zenon_H1d9. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.10 apply (zenon_L398_); trivial. % 0.94/1.10 apply (zenon_L400_); trivial. % 0.94/1.10 (* end of lemma zenon_L401_ *) % 0.94/1.10 assert (zenon_L402_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(hskp19)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H164 zenon_H8c zenon_H83 zenon_H82 zenon_H8b zenon_H98 zenon_H97 zenon_Hf zenon_H95 zenon_H6e. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H36 | zenon_intro zenon_H165 ]. % 0.94/1.10 apply (zenon_L40_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H96 | zenon_intro zenon_H6f ]. % 0.94/1.10 apply (zenon_L44_); trivial. % 0.94/1.10 exact (zenon_H6e zenon_H6f). % 0.94/1.10 (* end of lemma zenon_L402_ *) % 0.94/1.10 assert (zenon_L403_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (~(hskp28)) -> (~(hskp13)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1da zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H96 zenon_H1b3 zenon_H70. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H10 | zenon_intro zenon_H1df ]. % 0.94/1.10 apply (zenon_L351_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H71 ]. % 0.94/1.10 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.10 exact (zenon_H70 zenon_H71). % 0.94/1.10 (* end of lemma zenon_L403_ *) % 0.94/1.10 assert (zenon_L404_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(hskp13)) -> (ndr1_0) -> (c0_1 (a143)) -> (c3_1 (a143)) -> (c2_1 (a143)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H164 zenon_H8c zenon_H83 zenon_H82 zenon_H8b zenon_H70 zenon_Hf zenon_H1b5 zenon_H1b7 zenon_H1b6 zenon_H72 zenon_H6e. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H36 | zenon_intro zenon_H165 ]. % 0.94/1.10 apply (zenon_L40_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H96 | zenon_intro zenon_H6f ]. % 0.94/1.10 apply (zenon_L249_); trivial. % 0.94/1.10 exact (zenon_H6e zenon_H6f). % 0.94/1.10 (* end of lemma zenon_L404_ *) % 0.94/1.10 assert (zenon_L405_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a183))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.94/1.10 do 0 intro. intros zenon_H1c0 zenon_Ha5 zenon_H82 zenon_H83 zenon_H8c zenon_H164 zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H6e zenon_H70. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.94/1.10 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.10 apply (zenon_L404_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_L249_); trivial. % 0.94/1.10 (* end of lemma zenon_L405_ *) % 0.94/1.10 assert (zenon_L406_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(hskp4)) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_H72 zenon_H278 zenon_Ha zenon_H39 zenon_H97 zenon_H98 zenon_H6e zenon_H164 zenon_H268 zenon_H269 zenon_H26a zenon_H1da zenon_H70 zenon_Hb1 zenon_Ha5. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.10 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H95 | zenon_intro zenon_H279 ]. % 0.94/1.10 apply (zenon_L402_); trivial. % 0.94/1.10 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H3a | zenon_intro zenon_Hb ]. % 0.94/1.10 exact (zenon_H39 zenon_H3a). % 0.94/1.10 exact (zenon_Ha zenon_Hb). % 0.94/1.10 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.10 apply (zenon_L383_); trivial. % 0.94/1.10 apply (zenon_L403_); trivial. % 0.94/1.10 apply (zenon_L405_); trivial. % 0.94/1.10 (* end of lemma zenon_L406_ *) % 0.94/1.10 assert (zenon_L407_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> False). % 0.94/1.10 do 0 intro. intros zenon_Haa zenon_H1d9 zenon_H72 zenon_H278 zenon_Ha zenon_H97 zenon_H98 zenon_H6e zenon_H164 zenon_H268 zenon_H269 zenon_H26a zenon_H1da zenon_H70 zenon_Hb1 zenon_Ha5 zenon_Hf zenon_H16c zenon_H174 zenon_H16d zenon_H39 zenon_H1ff. % 0.94/1.10 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.10 apply (zenon_L153_); trivial. % 0.94/1.10 apply (zenon_L406_); trivial. % 0.94/1.10 (* end of lemma zenon_L407_ *) % 0.94/1.10 assert (zenon_L408_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H3 zenon_Hf zenon_Hb1 zenon_H98 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H1e4 zenon_H18f zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L202_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L408_ *) % 0.94/1.11 assert (zenon_L409_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha9 zenon_H1db zenon_H246 zenon_H59 zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H268 zenon_H269 zenon_H26a zenon_H18f zenon_H3 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H273 zenon_H16c zenon_H174 zenon_H16d zenon_H19e zenon_H1fc. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L408_); trivial. % 0.94/1.11 apply (zenon_L261_); trivial. % 0.94/1.11 apply (zenon_L146_); trivial. % 0.94/1.11 apply (zenon_L210_); trivial. % 0.94/1.11 (* end of lemma zenon_L409_ *) % 0.94/1.11 assert (zenon_L410_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Had zenon_Hae zenon_H1db zenon_H246 zenon_H59 zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H273 zenon_H19e zenon_H1fc zenon_H1ff zenon_H39 zenon_H16d zenon_H174 zenon_H16c zenon_Ha5 zenon_H70 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H164 zenon_Ha zenon_H278 zenon_H72 zenon_H1d9 zenon_Haa. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L407_); trivial. % 0.94/1.11 apply (zenon_L409_); trivial. % 0.94/1.11 (* end of lemma zenon_L410_ *) % 0.94/1.11 assert (zenon_L411_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp24)) -> (~(hskp25)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H7e zenon_H12b zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L308_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L411_ *) % 0.94/1.11 assert (zenon_L412_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H7e zenon_H12b zenon_H174 zenon_H16d zenon_H16c zenon_H273. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L411_); trivial. % 0.94/1.11 apply (zenon_L81_); trivial. % 0.94/1.11 (* end of lemma zenon_L412_ *) % 0.94/1.11 assert (zenon_L413_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(hskp19)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H164 zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_Hb1 zenon_H10 zenon_H97 zenon_Hf zenon_H6e. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H36 | zenon_intro zenon_H165 ]. % 0.94/1.11 apply (zenon_L16_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H96 | zenon_intro zenon_H6f ]. % 0.94/1.11 apply (zenon_L351_); trivial. % 0.94/1.11 exact (zenon_H6e zenon_H6f). % 0.94/1.11 (* end of lemma zenon_L413_ *) % 0.94/1.11 assert (zenon_L414_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp19)) -> (ndr1_0) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H6e zenon_Hf zenon_H97 zenon_Hb1 zenon_H98 zenon_H1c zenon_H1d zenon_H1e zenon_H164 zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L413_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L414_ *) % 0.94/1.11 assert (zenon_L415_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H14c zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H268 zenon_H269 zenon_H26a zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L414_); trivial. % 0.94/1.11 apply (zenon_L148_); trivial. % 0.94/1.11 (* end of lemma zenon_L415_ *) % 0.94/1.11 assert (zenon_L416_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L414_); trivial. % 0.94/1.11 apply (zenon_L87_); trivial. % 0.94/1.11 (* end of lemma zenon_L416_ *) % 0.94/1.11 assert (zenon_L417_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_Hb1 zenon_H98 zenon_H6e zenon_H164 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L412_); trivial. % 0.94/1.11 apply (zenon_L415_); trivial. % 0.94/1.11 apply (zenon_L416_); trivial. % 0.94/1.11 (* end of lemma zenon_L417_ *) % 0.94/1.11 assert (zenon_L418_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Had zenon_He3 zenon_Hae zenon_H1db zenon_H246 zenon_H59 zenon_H240 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H151 zenon_H1fd zenon_H164 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hc1 zenon_Hbd zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hd0 zenon_Hd4. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.11 apply (zenon_L57_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L417_); trivial. % 0.94/1.11 apply (zenon_L409_); trivial. % 0.94/1.11 (* end of lemma zenon_L418_ *) % 0.94/1.11 assert (zenon_L419_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Hae zenon_H1db zenon_H246 zenon_H59 zenon_H240 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H151 zenon_H1fd zenon_H164 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.11 apply (zenon_L60_); trivial. % 0.94/1.11 apply (zenon_L418_); trivial. % 0.94/1.11 (* end of lemma zenon_L419_ *) % 0.94/1.11 assert (zenon_L420_ : (forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47)))))) -> (ndr1_0) -> (~(c2_1 (a149))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H74 zenon_Hf zenon_Hb1 zenon_H8b zenon_H97 zenon_H98. % 0.94/1.11 generalize (zenon_H74 (a149)). zenon_intro zenon_He4. % 0.94/1.11 apply (zenon_imply_s _ _ zenon_He4); [ zenon_intro zenon_He | zenon_intro zenon_He5 ]. % 0.94/1.11 exact (zenon_He zenon_Hf). % 0.94/1.11 apply (zenon_or_s _ _ zenon_He5); [ zenon_intro zenon_He6 | zenon_intro zenon_H9f ]. % 0.94/1.11 exact (zenon_Hb1 zenon_He6). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H9f); [ zenon_intro zenon_Ha2 | zenon_intro zenon_Ha1 ]. % 0.94/1.11 generalize (zenon_H8b (a149)). zenon_intro zenon_H27a. % 0.94/1.11 apply (zenon_imply_s _ _ zenon_H27a); [ zenon_intro zenon_He | zenon_intro zenon_H27b ]. % 0.94/1.11 exact (zenon_He zenon_Hf). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H27b); [ zenon_intro zenon_H9c | zenon_intro zenon_H27c ]. % 0.94/1.11 exact (zenon_Ha2 zenon_H9c). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H27c); [ zenon_intro zenon_Ha0 | zenon_intro zenon_He6 ]. % 0.94/1.11 exact (zenon_H97 zenon_Ha0). % 0.94/1.11 exact (zenon_Hb1 zenon_He6). % 0.94/1.11 exact (zenon_Ha1 zenon_H98). % 0.94/1.11 (* end of lemma zenon_L420_ *) % 0.94/1.11 assert (zenon_L421_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (ndr1_0) -> (~(c2_1 (a149))) -> (forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hf zenon_Hb1 zenon_H8b zenon_H97 zenon_H98 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.94/1.11 apply (zenon_L16_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.94/1.11 apply (zenon_L420_); trivial. % 0.94/1.11 apply (zenon_L68_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L421_ *) % 0.94/1.11 assert (zenon_L422_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha5 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H103 zenon_Hfa zenon_Hfc zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.11 apply (zenon_L421_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_L386_); trivial. % 0.94/1.11 (* end of lemma zenon_L422_ *) % 0.94/1.11 assert (zenon_L423_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha9 zenon_H152 zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H97 zenon_H98 zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H26a zenon_H269 zenon_H268 zenon_Ha5. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L422_); trivial. % 0.94/1.11 apply (zenon_L261_); trivial. % 0.94/1.11 (* end of lemma zenon_L423_ *) % 0.94/1.11 assert (zenon_L424_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Had zenon_Hae zenon_H152 zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1ff zenon_H39 zenon_H16d zenon_H174 zenon_H16c zenon_Ha5 zenon_H70 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H164 zenon_Ha zenon_H278 zenon_H72 zenon_H1d9 zenon_Haa. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L407_); trivial. % 0.94/1.11 apply (zenon_L423_); trivial. % 0.94/1.11 (* end of lemma zenon_L424_ *) % 0.94/1.11 assert (zenon_L425_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L412_); trivial. % 0.94/1.11 apply (zenon_L312_); trivial. % 0.94/1.11 (* end of lemma zenon_L425_ *) % 0.94/1.11 assert (zenon_L426_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H273. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L286_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 apply (zenon_L87_); trivial. % 0.94/1.11 (* end of lemma zenon_L426_ *) % 0.94/1.11 assert (zenon_L427_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 0.94/1.11 do 0 intro. intros zenon_He7 zenon_Hd4 zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H152 zenon_H13e zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151 zenon_Hbd zenon_Hc1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.11 apply (zenon_L53_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L425_); trivial. % 0.94/1.11 apply (zenon_L426_); trivial. % 0.94/1.11 (* end of lemma zenon_L427_ *) % 0.94/1.11 assert (zenon_L428_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp1)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp4)) -> (~(hskp6)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H13d zenon_H278 zenon_H2a zenon_Heb zenon_Hec zenon_Hed zenon_H108 zenon_H39 zenon_Ha. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H95 | zenon_intro zenon_H279 ]. % 0.94/1.11 apply (zenon_L393_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H3a | zenon_intro zenon_Hb ]. % 0.94/1.11 exact (zenon_H39 zenon_H3a). % 0.94/1.11 exact (zenon_Ha zenon_Hb). % 0.94/1.11 (* end of lemma zenon_L428_ *) % 0.94/1.11 assert (zenon_L429_ : ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp26)) -> (~(hskp27)) -> (ndr1_0) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp4)) -> (~(hskp6)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H278 zenon_H1be zenon_H117 zenon_Hf zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H39 zenon_Ha. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H95 | zenon_intro zenon_H279 ]. % 0.94/1.11 apply (zenon_L289_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H3a | zenon_intro zenon_Hb ]. % 0.94/1.11 exact (zenon_H39 zenon_H3a). % 0.94/1.11 exact (zenon_Ha zenon_Hb). % 0.94/1.11 (* end of lemma zenon_L429_ *) % 0.94/1.11 assert (zenon_L430_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H152 zenon_H2a zenon_H108 zenon_H1c1 zenon_H1be zenon_Hed zenon_Hec zenon_Heb zenon_Hf zenon_H39 zenon_Ha zenon_H278. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L429_); trivial. % 0.94/1.11 apply (zenon_L428_); trivial. % 0.94/1.11 (* end of lemma zenon_L430_ *) % 0.94/1.11 assert (zenon_L431_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a196)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (ndr1_0) -> (~(hskp28)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1e2 zenon_H1c7 zenon_H1c5 zenon_H1c6 zenon_Hed zenon_Hec zenon_Heb zenon_H95 zenon_Hf zenon_H1b3. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.11 apply (zenon_L155_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.11 apply (zenon_L66_); trivial. % 0.94/1.11 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.11 (* end of lemma zenon_L431_ *) % 0.94/1.11 assert (zenon_L432_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp20)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(hskp22)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1c0 zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H19c zenon_H16c zenon_H174 zenon_H16d zenon_H1e6 zenon_H98 zenon_Hb1 zenon_H1e4 zenon_H19e zenon_H117. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L143_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L432_ *) % 0.94/1.11 assert (zenon_L433_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a196)) -> (~(c1_1 (a196))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c0_1 (a196))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (ndr1_0) -> (c1_1 (a137)) -> (c2_1 (a137)) -> (c3_1 (a137)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H159 zenon_H1c7 zenon_H1c5 zenon_H95 zenon_H1c6 zenon_H83 zenon_H8c zenon_H82 zenon_Hf zenon_H11d zenon_H11e zenon_H11f. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.94/1.11 apply (zenon_L155_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.94/1.11 apply (zenon_L85_); trivial. % 0.94/1.11 apply (zenon_L86_); trivial. % 0.94/1.11 (* end of lemma zenon_L433_ *) % 0.94/1.11 assert (zenon_L434_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c0_1 (a196))) -> (~(c1_1 (a196))) -> (c2_1 (a196)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp4)) -> (~(hskp6)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H13d zenon_H278 zenon_H82 zenon_H8c zenon_H83 zenon_H1c6 zenon_H1c5 zenon_H1c7 zenon_H159 zenon_H39 zenon_Ha. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H95 | zenon_intro zenon_H279 ]. % 0.94/1.11 apply (zenon_L433_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H3a | zenon_intro zenon_Hb ]. % 0.94/1.11 exact (zenon_H39 zenon_H3a). % 0.94/1.11 exact (zenon_Ha zenon_Hb). % 0.94/1.11 (* end of lemma zenon_L434_ *) % 0.94/1.11 assert (zenon_L435_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(hskp4)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1d5 zenon_H152 zenon_H82 zenon_H8c zenon_H83 zenon_H159 zenon_H278 zenon_Ha zenon_H39 zenon_Heb zenon_Hec zenon_Hed zenon_H1e2 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H19c zenon_H16d zenon_H174 zenon_H16c zenon_Hb1 zenon_H98 zenon_H1e4 zenon_H1e6 zenon_H273 zenon_H1d9. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H95 | zenon_intro zenon_H279 ]. % 0.94/1.11 apply (zenon_L431_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H3a | zenon_intro zenon_Hb ]. % 0.94/1.11 exact (zenon_H39 zenon_H3a). % 0.94/1.11 exact (zenon_Ha zenon_Hb). % 0.94/1.11 apply (zenon_L432_); trivial. % 0.94/1.11 apply (zenon_L434_); trivial. % 0.94/1.11 (* end of lemma zenon_L435_ *) % 0.94/1.11 assert (zenon_L436_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a196)) -> (~(c0_1 (a196))) -> (~(c1_1 (a196))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H97 zenon_Hb1 zenon_H98 zenon_H1d3 zenon_H1c7 zenon_H1c6 zenon_H1c5 zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1a3 zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L128_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L436_ *) % 0.94/1.11 assert (zenon_L437_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(hskp4)) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(c2_1 (a168))) -> (~(c0_1 (a168))) -> (c1_1 (a168)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1d5 zenon_H152 zenon_H278 zenon_Ha zenon_H39 zenon_H82 zenon_H8c zenon_H83 zenon_H159 zenon_H268 zenon_H269 zenon_H26a zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_H1a5 zenon_H1a6 zenon_H1a7 zenon_H16c zenon_H174 zenon_H16d zenon_H1d3 zenon_H273. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L436_); trivial. % 0.94/1.11 apply (zenon_L434_); trivial. % 0.94/1.11 (* end of lemma zenon_L437_ *) % 0.94/1.11 assert (zenon_L438_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Had zenon_H1db zenon_H1a3 zenon_H1d3 zenon_Haa zenon_H1d8 zenon_H159 zenon_H1e2 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H1e6 zenon_H273 zenon_H1d9 zenon_H278 zenon_Ha zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H108 zenon_H2a zenon_H152 zenon_H16c zenon_H174 zenon_H16d zenon_H39 zenon_H1ff zenon_H1fc. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L153_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.11 apply (zenon_L430_); trivial. % 0.94/1.11 apply (zenon_L435_); trivial. % 0.94/1.11 apply (zenon_L146_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L153_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.11 apply (zenon_L430_); trivial. % 0.94/1.11 apply (zenon_L437_); trivial. % 0.94/1.11 (* end of lemma zenon_L438_ *) % 0.94/1.11 assert (zenon_L439_ : ((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> (~(hskp4)) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H168 zenon_Hb2 zenon_H1db zenon_H1a3 zenon_H1d3 zenon_Haa zenon_H1d8 zenon_H159 zenon_H1e2 zenon_H19e zenon_H1e6 zenon_H1d9 zenon_H1c1 zenon_H1ff zenon_H1fc zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H26a zenon_H269 zenon_H268 zenon_H108 zenon_H2a zenon_H39 zenon_Ha zenon_H278 zenon_H152. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L399_); trivial. % 0.94/1.11 apply (zenon_L428_); trivial. % 0.94/1.11 apply (zenon_L438_); trivial. % 0.94/1.11 (* end of lemma zenon_L439_ *) % 0.94/1.11 assert (zenon_L440_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H13d zenon_H25a zenon_H110 zenon_H10f zenon_H10e zenon_H7e zenon_H12b zenon_H12d zenon_Ha. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H25a); [ zenon_intro zenon_H10d | zenon_intro zenon_H25b ]. % 0.94/1.11 apply (zenon_L72_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H25b); [ zenon_intro zenon_H25c | zenon_intro zenon_Hb ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11b | zenon_intro zenon_H12e ]. % 0.94/1.11 generalize (zenon_H11b (a137)). zenon_intro zenon_H120. % 0.94/1.11 apply (zenon_imply_s _ _ zenon_H120); [ zenon_intro zenon_He | zenon_intro zenon_H121 ]. % 0.94/1.11 exact (zenon_He zenon_Hf). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H121); [ zenon_intro zenon_H123 | zenon_intro zenon_H122 ]. % 0.94/1.11 generalize (zenon_H25c (a137)). zenon_intro zenon_H27d. % 0.94/1.11 apply (zenon_imply_s _ _ zenon_H27d); [ zenon_intro zenon_He | zenon_intro zenon_H27e ]. % 0.94/1.11 exact (zenon_He zenon_Hf). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H27e); [ zenon_intro zenon_H127 | zenon_intro zenon_H122 ]. % 0.94/1.11 exact (zenon_H123 zenon_H127). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ]. % 0.94/1.11 exact (zenon_H129 zenon_H11d). % 0.94/1.11 exact (zenon_H12a zenon_H11f). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H122); [ zenon_intro zenon_H129 | zenon_intro zenon_H12a ]. % 0.94/1.11 exact (zenon_H129 zenon_H11d). % 0.94/1.11 exact (zenon_H12a zenon_H11f). % 0.94/1.11 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12c | zenon_intro zenon_H7f ]. % 0.94/1.11 exact (zenon_H12b zenon_H12c). % 0.94/1.11 exact (zenon_H7e zenon_H7f). % 0.94/1.11 exact (zenon_Ha zenon_Hb). % 0.94/1.11 (* end of lemma zenon_L440_ *) % 0.94/1.11 assert (zenon_L441_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp25)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H152 zenon_H25a zenon_Ha zenon_H12b zenon_H7e zenon_H12d zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L74_); trivial. % 0.94/1.11 apply (zenon_L440_); trivial. % 0.94/1.11 (* end of lemma zenon_L441_ *) % 0.94/1.11 assert (zenon_L442_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H6e zenon_H164 zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H16c zenon_H70 zenon_H1da. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.11 apply (zenon_L397_); trivial. % 0.94/1.11 apply (zenon_L405_); trivial. % 0.94/1.11 (* end of lemma zenon_L442_ *) % 0.94/1.11 assert (zenon_L443_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H6e zenon_H164 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H70 zenon_H1da zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L441_); trivial. % 0.94/1.11 apply (zenon_L83_); trivial. % 0.94/1.11 apply (zenon_L442_); trivial. % 0.94/1.11 (* end of lemma zenon_L443_ *) % 0.94/1.11 assert (zenon_L444_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H6e zenon_H164 zenon_He0 zenon_H70 zenon_H1da zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H16c zenon_H174 zenon_H16d zenon_H1d3 zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L441_); trivial. % 0.94/1.11 apply (zenon_L312_); trivial. % 0.94/1.11 apply (zenon_L442_); trivial. % 0.94/1.11 (* end of lemma zenon_L444_ *) % 0.94/1.11 assert (zenon_L445_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_He3 zenon_Hae zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H151 zenon_H14d zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H12d zenon_Ha zenon_H25a zenon_H152 zenon_H1da zenon_H70 zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H164 zenon_H72 zenon_H268 zenon_H269 zenon_H26a zenon_Ha5 zenon_H1d9 zenon_Haa zenon_H1d3 zenon_Hd4. % 0.94/1.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L443_); trivial. % 0.94/1.11 apply (zenon_L400_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L444_); trivial. % 0.94/1.11 apply (zenon_L400_); trivial. % 0.94/1.11 apply (zenon_L59_); trivial. % 0.94/1.11 (* end of lemma zenon_L445_ *) % 0.94/1.11 assert (zenon_L446_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H7e zenon_H12b zenon_H174 zenon_H16d zenon_H16c zenon_H273. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L411_); trivial. % 0.94/1.11 apply (zenon_L440_); trivial. % 0.94/1.11 (* end of lemma zenon_L446_ *) % 0.94/1.11 assert (zenon_L447_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L446_); trivial. % 0.94/1.11 apply (zenon_L83_); trivial. % 0.94/1.11 (* end of lemma zenon_L447_ *) % 0.94/1.11 assert (zenon_L448_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp4)) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H1d9 zenon_H72 zenon_H278 zenon_H39 zenon_H97 zenon_H98 zenon_H6e zenon_H164 zenon_H1da zenon_H70 zenon_Hb1 zenon_Ha5 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L447_); trivial. % 0.94/1.11 apply (zenon_L406_); trivial. % 0.94/1.11 (* end of lemma zenon_L448_ *) % 0.94/1.11 assert (zenon_L449_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L446_); trivial. % 0.94/1.11 apply (zenon_L312_); trivial. % 0.94/1.11 (* end of lemma zenon_L449_ *) % 0.94/1.11 assert (zenon_L450_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp4)) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (~(c2_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H1d9 zenon_H72 zenon_H278 zenon_H39 zenon_H97 zenon_H98 zenon_H6e zenon_H164 zenon_H1da zenon_H70 zenon_Hb1 zenon_Ha5 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1d3 zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L449_); trivial. % 0.94/1.11 apply (zenon_L406_); trivial. % 0.94/1.11 (* end of lemma zenon_L450_ *) % 0.94/1.11 assert (zenon_L451_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a149))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Hcf zenon_Hae zenon_H1db zenon_H246 zenon_H59 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H151 zenon_H1d3 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152 zenon_Ha5 zenon_Hb1 zenon_H70 zenon_H1da zenon_H164 zenon_H98 zenon_H97 zenon_H39 zenon_H278 zenon_H72 zenon_H1d9 zenon_Haa. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L450_); trivial. % 0.94/1.11 apply (zenon_L409_); trivial. % 0.94/1.11 (* end of lemma zenon_L451_ *) % 0.94/1.11 assert (zenon_L452_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L446_); trivial. % 0.94/1.11 apply (zenon_L415_); trivial. % 0.94/1.11 (* end of lemma zenon_L452_ *) % 0.94/1.11 assert (zenon_L453_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp4)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H1d9 zenon_H72 zenon_H278 zenon_H39 zenon_H1da zenon_H70 zenon_Ha5 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_Hb1 zenon_H98 zenon_H6e zenon_H164 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L452_); trivial. % 0.94/1.11 apply (zenon_L406_); trivial. % 0.94/1.11 (* end of lemma zenon_L453_ *) % 0.94/1.11 assert (zenon_L454_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Hb2 zenon_H1fd zenon_H1db zenon_H246 zenon_H59 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H39 zenon_H278 zenon_Hd4 zenon_H1d3 zenon_Haa zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H164 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H70 zenon_H1da zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hae zenon_He3. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.11 apply (zenon_L445_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L448_); trivial. % 0.94/1.11 apply (zenon_L409_); trivial. % 0.94/1.11 apply (zenon_L451_); trivial. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L453_); trivial. % 0.94/1.11 apply (zenon_L409_); trivial. % 0.94/1.11 (* end of lemma zenon_L454_ *) % 0.94/1.11 assert (zenon_L455_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_H18f zenon_H3 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H273. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L408_); trivial. % 0.94/1.11 apply (zenon_L87_); trivial. % 0.94/1.11 (* end of lemma zenon_L455_ *) % 0.94/1.11 assert (zenon_L456_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H18f zenon_H3 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L447_); trivial. % 0.94/1.11 apply (zenon_L455_); trivial. % 0.94/1.11 (* end of lemma zenon_L456_ *) % 0.94/1.11 assert (zenon_L457_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c2_1 (a192)) -> (~(c3_1 (a192))) -> (~(c1_1 (a192))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H18f zenon_H145 zenon_H144 zenon_H143 zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_H3. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.94/1.11 apply (zenon_L82_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.94/1.11 apply (zenon_L103_); trivial. % 0.94/1.11 exact (zenon_H3 zenon_H4). % 0.94/1.11 (* end of lemma zenon_L457_ *) % 0.94/1.11 assert (zenon_L458_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp8)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c1_1 (a192))) -> (~(c3_1 (a192))) -> (c2_1 (a192)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H3 zenon_Hf zenon_Hb1 zenon_H98 zenon_H143 zenon_H144 zenon_H145 zenon_H18f zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.11 apply (zenon_L457_); trivial. % 0.94/1.11 exact (zenon_H117 zenon_H118). % 0.94/1.11 (* end of lemma zenon_L458_ *) % 0.94/1.11 assert (zenon_L459_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H14c zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H268 zenon_H269 zenon_H26a zenon_H18f zenon_H3 zenon_H98 zenon_Hb1 zenon_H273. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L458_); trivial. % 0.94/1.11 apply (zenon_L148_); trivial. % 0.94/1.11 (* end of lemma zenon_L459_ *) % 0.94/1.11 assert (zenon_L460_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H18f zenon_H3 zenon_H98 zenon_Hb1 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.11 apply (zenon_L446_); trivial. % 0.94/1.11 apply (zenon_L459_); trivial. % 0.94/1.11 (* end of lemma zenon_L460_ *) % 0.94/1.11 assert (zenon_L461_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hb1 zenon_H98 zenon_H3 zenon_H18f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.11 apply (zenon_L460_); trivial. % 0.94/1.11 apply (zenon_L455_); trivial. % 0.94/1.11 (* end of lemma zenon_L461_ *) % 0.94/1.11 assert (zenon_L462_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Hdf zenon_H1db zenon_H246 zenon_H59 zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hb1 zenon_H98 zenon_H3 zenon_H18f zenon_H1fd zenon_H151 zenon_H19e zenon_H1fc. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.11 apply (zenon_L461_); trivial. % 0.94/1.11 apply (zenon_L146_); trivial. % 0.94/1.11 apply (zenon_L210_); trivial. % 0.94/1.11 (* end of lemma zenon_L462_ *) % 0.94/1.11 assert (zenon_L463_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_H1db zenon_H246 zenon_H59 zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H19e zenon_H1fc zenon_Hd0 zenon_Hd4. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.11 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.11 apply (zenon_L456_); trivial. % 0.94/1.11 apply (zenon_L146_); trivial. % 0.94/1.11 apply (zenon_L210_); trivial. % 0.94/1.11 apply (zenon_L56_); trivial. % 0.94/1.11 apply (zenon_L462_); trivial. % 0.94/1.11 (* end of lemma zenon_L463_ *) % 0.94/1.11 assert (zenon_L464_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp19)) -> (~(hskp13)) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1c0 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H6e zenon_H70. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.94/1.11 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.11 apply (zenon_L90_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_L249_); trivial. % 0.94/1.11 (* end of lemma zenon_L464_ *) % 0.94/1.11 assert (zenon_L465_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp19)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1d9 zenon_Ha5 zenon_H6e zenon_H72 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.11 apply (zenon_L397_); trivial. % 0.94/1.11 apply (zenon_L464_); trivial. % 0.94/1.11 (* end of lemma zenon_L465_ *) % 0.94/1.11 assert (zenon_L466_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Hae zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H1da zenon_H70 zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H5b zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H72 zenon_Ha5 zenon_H1d9. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.11 apply (zenon_L465_); trivial. % 0.94/1.11 apply (zenon_L400_); trivial. % 0.94/1.11 (* end of lemma zenon_L466_ *) % 0.94/1.11 assert (zenon_L467_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp13)) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H1da zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H1b3 zenon_H70. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.11 apply (zenon_L90_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_L403_); trivial. % 0.94/1.11 (* end of lemma zenon_L467_ *) % 0.94/1.11 assert (zenon_L468_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(hskp19)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_H1d9 zenon_H6e zenon_H72 zenon_Hf zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H1da zenon_H70 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.11 apply (zenon_L467_); trivial. % 0.94/1.11 apply (zenon_L464_); trivial. % 0.94/1.11 (* end of lemma zenon_L468_ *) % 0.94/1.11 assert (zenon_L469_ : ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(hskp27)) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H117. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.11 apply (zenon_L90_); trivial. % 0.94/1.11 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.11 apply (zenon_L383_); trivial. % 0.94/1.11 apply (zenon_L386_); trivial. % 0.94/1.11 (* end of lemma zenon_L469_ *) % 0.94/1.11 assert (zenon_L470_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Ha9 zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.11 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.11 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.11 apply (zenon_L469_); trivial. % 0.94/1.11 apply (zenon_L261_); trivial. % 0.94/1.11 (* end of lemma zenon_L470_ *) % 0.94/1.11 assert (zenon_L471_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.11 do 0 intro. intros zenon_Had zenon_Hae zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_Ha5 zenon_H70 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H1d9. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L468_); trivial. % 0.94/1.12 apply (zenon_L470_); trivial. % 0.94/1.12 (* end of lemma zenon_L471_ *) % 0.94/1.12 assert (zenon_L472_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hb2 zenon_H1d9 zenon_Ha5 zenon_H72 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H152 zenon_Hae. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_L466_); trivial. % 0.94/1.12 apply (zenon_L471_); trivial. % 0.94/1.12 (* end of lemma zenon_L472_ *) % 0.94/1.12 assert (zenon_L473_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H7e zenon_H12b zenon_H13f zenon_Hf zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L469_); trivial. % 0.94/1.12 apply (zenon_L81_); trivial. % 0.94/1.12 (* end of lemma zenon_L473_ *) % 0.94/1.12 assert (zenon_L474_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_Ha5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_Hf zenon_H13f zenon_H7e zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.12 apply (zenon_L473_); trivial. % 0.94/1.12 apply (zenon_L83_); trivial. % 0.94/1.12 (* end of lemma zenon_L474_ *) % 0.94/1.12 assert (zenon_L475_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L469_); trivial. % 0.94/1.12 apply (zenon_L87_); trivial. % 0.94/1.12 (* end of lemma zenon_L475_ *) % 0.94/1.12 assert (zenon_L476_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H14c zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L469_); trivial. % 0.94/1.12 apply (zenon_L148_); trivial. % 0.94/1.12 (* end of lemma zenon_L476_ *) % 0.94/1.12 assert (zenon_L477_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5 zenon_H1fd zenon_H151. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.12 apply (zenon_L473_); trivial. % 0.94/1.12 apply (zenon_L476_); trivial. % 0.94/1.12 apply (zenon_L475_); trivial. % 0.94/1.12 (* end of lemma zenon_L477_ *) % 0.94/1.12 assert (zenon_L478_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L474_); trivial. % 0.94/1.12 apply (zenon_L475_); trivial. % 0.94/1.12 apply (zenon_L56_); trivial. % 0.94/1.12 apply (zenon_L477_); trivial. % 0.94/1.12 (* end of lemma zenon_L478_ *) % 0.94/1.12 assert (zenon_L479_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_L60_); trivial. % 0.94/1.12 apply (zenon_L478_); trivial. % 0.94/1.12 (* end of lemma zenon_L479_ *) % 0.94/1.12 assert (zenon_L480_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H3d zenon_H211 zenon_H1fd zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_H13f zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He3 zenon_Hae zenon_H152 zenon_H240 zenon_H273 zenon_H1da zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H72 zenon_Ha5 zenon_H1d9 zenon_Hb2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.12 apply (zenon_L472_); trivial. % 0.94/1.12 apply (zenon_L479_); trivial. % 0.94/1.12 (* end of lemma zenon_L480_ *) % 0.94/1.12 assert (zenon_L481_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H42 zenon_H211 zenon_H1fd zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_H13f zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He3 zenon_Hae zenon_H152 zenon_H240 zenon_H273 zenon_H1da zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H72 zenon_Ha5 zenon_H1d9 zenon_Hb2 zenon_H3 zenon_H5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.12 apply (zenon_L3_); trivial. % 0.94/1.12 apply (zenon_L480_); trivial. % 0.94/1.12 (* end of lemma zenon_L481_ *) % 0.94/1.12 assert (zenon_L482_ : (forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41)))))) -> (ndr1_0) -> (c0_1 (a162)) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (~(c2_1 (a162))) -> (c3_1 (a162)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H11b zenon_Hf zenon_H76 zenon_H1a0 zenon_H75 zenon_H77. % 0.94/1.12 generalize (zenon_H11b (a162)). zenon_intro zenon_H27f. % 0.94/1.12 apply (zenon_imply_s _ _ zenon_H27f); [ zenon_intro zenon_He | zenon_intro zenon_H280 ]. % 0.94/1.12 exact (zenon_He zenon_Hf). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H280); [ zenon_intro zenon_H7d | zenon_intro zenon_H281 ]. % 0.94/1.12 exact (zenon_H7d zenon_H76). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H282 | zenon_intro zenon_H7c ]. % 0.94/1.12 generalize (zenon_H1a0 (a162)). zenon_intro zenon_H283. % 0.94/1.12 apply (zenon_imply_s _ _ zenon_H283); [ zenon_intro zenon_He | zenon_intro zenon_H284 ]. % 0.94/1.12 exact (zenon_He zenon_Hf). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H284); [ zenon_intro zenon_H286 | zenon_intro zenon_H285 ]. % 0.94/1.12 exact (zenon_H282 zenon_H286). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H285); [ zenon_intro zenon_H7b | zenon_intro zenon_H7c ]. % 0.94/1.12 exact (zenon_H75 zenon_H7b). % 0.94/1.12 exact (zenon_H7c zenon_H77). % 0.94/1.12 exact (zenon_H7c zenon_H77). % 0.94/1.12 (* end of lemma zenon_L482_ *) % 0.94/1.12 assert (zenon_L483_ : ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (c3_1 (a162)) -> (~(c2_1 (a162))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (c0_1 (a162)) -> (ndr1_0) -> (~(hskp10)) -> (~(hskp15)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H258 zenon_H77 zenon_H75 zenon_H1a0 zenon_H76 zenon_Hf zenon_H226 zenon_H5b. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H258); [ zenon_intro zenon_H11b | zenon_intro zenon_H259 ]. % 0.94/1.12 apply (zenon_L482_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H259); [ zenon_intro zenon_H227 | zenon_intro zenon_H5c ]. % 0.94/1.12 exact (zenon_H226 zenon_H227). % 0.94/1.12 exact (zenon_H5b zenon_H5c). % 0.94/1.12 (* end of lemma zenon_L483_ *) % 0.94/1.12 assert (zenon_L484_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H198 zenon_Hf zenon_H75 zenon_H96 zenon_H76 zenon_H77. % 0.94/1.12 generalize (zenon_H198 (a162)). zenon_intro zenon_H287. % 0.94/1.12 apply (zenon_imply_s _ _ zenon_H287); [ zenon_intro zenon_He | zenon_intro zenon_H288 ]. % 0.94/1.12 exact (zenon_He zenon_Hf). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H288); [ zenon_intro zenon_H7b | zenon_intro zenon_H281 ]. % 0.94/1.12 exact (zenon_H75 zenon_H7b). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H281); [ zenon_intro zenon_H282 | zenon_intro zenon_H7c ]. % 0.94/1.12 generalize (zenon_H96 (a162)). zenon_intro zenon_H289. % 0.94/1.12 apply (zenon_imply_s _ _ zenon_H289); [ zenon_intro zenon_He | zenon_intro zenon_H28a ]. % 0.94/1.12 exact (zenon_He zenon_Hf). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H28a); [ zenon_intro zenon_H286 | zenon_intro zenon_H7a ]. % 0.94/1.12 exact (zenon_H282 zenon_H286). % 0.94/1.12 apply (zenon_or_s _ _ zenon_H7a); [ zenon_intro zenon_H7d | zenon_intro zenon_H7c ]. % 0.94/1.12 exact (zenon_H7d zenon_H76). % 0.94/1.12 exact (zenon_H7c zenon_H77). % 0.94/1.12 exact (zenon_H7c zenon_H77). % 0.94/1.12 (* end of lemma zenon_L484_ *) % 0.94/1.12 assert (zenon_L485_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp1)) -> (c1_1 (a137)) -> (c2_1 (a137)) -> (c3_1 (a137)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H1a3 zenon_H2a zenon_H11d zenon_H11e zenon_H11f zenon_Hed zenon_Hec zenon_H108 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H75 zenon_H96 zenon_H76 zenon_H77. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.94/1.12 apply (zenon_L125_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.94/1.12 apply (zenon_L117_); trivial. % 0.94/1.12 apply (zenon_L484_); trivial. % 0.94/1.12 (* end of lemma zenon_L485_ *) % 0.94/1.12 assert (zenon_L486_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp1)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H13d zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H1a3 zenon_H2a zenon_Hed zenon_Hec zenon_H108 zenon_H98 zenon_Hb1 zenon_H97 zenon_H75 zenon_H76 zenon_H77. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.12 apply (zenon_L90_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.12 apply (zenon_L383_); trivial. % 0.94/1.12 apply (zenon_L485_); trivial. % 0.94/1.12 (* end of lemma zenon_L486_ *) % 0.94/1.12 assert (zenon_L487_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Had zenon_Hae zenon_H152 zenon_H108 zenon_H2a zenon_Hec zenon_Hed zenon_H1a3 zenon_H273 zenon_Ha5 zenon_H70 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H1d9. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L468_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L469_); trivial. % 0.94/1.12 apply (zenon_L486_); trivial. % 0.94/1.12 (* end of lemma zenon_L487_ *) % 0.94/1.12 assert (zenon_L488_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp11)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp10)\/(hskp11))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hb2 zenon_H152 zenon_H108 zenon_H2a zenon_H273 zenon_H1d9 zenon_Ha5 zenon_H72 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_H19e zenon_Hec zenon_Hed zenon_Heb zenon_H258 zenon_H226 zenon_H1a3 zenon_H1 zenon_H28b zenon_H1db zenon_Hae. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L465_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.12 apply (zenon_L90_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.12 apply (zenon_L383_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.94/1.12 apply (zenon_L116_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.94/1.12 apply (zenon_L483_); trivial. % 0.94/1.12 apply (zenon_L484_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H28b); [ zenon_intro zenon_H242 | zenon_intro zenon_H28c ]. % 0.94/1.12 apply (zenon_L209_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H28c); [ zenon_intro zenon_H227 | zenon_intro zenon_H2 ]. % 0.94/1.12 exact (zenon_H226 zenon_H227). % 0.94/1.12 exact (zenon_H1 zenon_H2). % 0.94/1.12 apply (zenon_L487_); trivial. % 0.94/1.12 (* end of lemma zenon_L488_ *) % 0.94/1.12 assert (zenon_L489_ : ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (c0_1 (a138)) -> (c3_1 (a137)) -> (c2_1 (a137)) -> (c1_1 (a137)) -> (ndr1_0) -> (~(hskp1)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H108 zenon_H22b zenon_H248 zenon_H1a0 zenon_H22a zenon_H11f zenon_H11e zenon_H11d zenon_Hf zenon_H2a. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H108); [ zenon_intro zenon_Hea | zenon_intro zenon_H109 ]. % 0.94/1.12 apply (zenon_L228_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H109); [ zenon_intro zenon_Hf9 | zenon_intro zenon_H2b ]. % 0.94/1.12 apply (zenon_L86_); trivial. % 0.94/1.12 exact (zenon_H2a zenon_H2b). % 0.94/1.12 (* end of lemma zenon_L489_ *) % 0.94/1.12 assert (zenon_L490_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(hskp1)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H13d zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H1a3 zenon_Hed zenon_Hec zenon_H2a zenon_H22a zenon_H248 zenon_H22b zenon_H108 zenon_H75 zenon_H76 zenon_H77. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.12 apply (zenon_L90_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.12 apply (zenon_L383_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.94/1.12 apply (zenon_L125_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.94/1.12 apply (zenon_L489_); trivial. % 0.94/1.12 apply (zenon_L484_); trivial. % 0.94/1.12 (* end of lemma zenon_L490_ *) % 0.94/1.12 assert (zenon_L491_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hb2 zenon_H1d9 zenon_Ha5 zenon_H72 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_H273 zenon_H1a3 zenon_H22a zenon_H248 zenon_H22b zenon_Hed zenon_Hec zenon_H2a zenon_H108 zenon_H152 zenon_Hae. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L465_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L399_); trivial. % 0.94/1.12 apply (zenon_L490_); trivial. % 0.94/1.12 apply (zenon_L487_); trivial. % 0.94/1.12 (* end of lemma zenon_L491_ *) % 0.94/1.12 assert (zenon_L492_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_L88_); trivial. % 0.94/1.12 apply (zenon_L478_); trivial. % 0.94/1.12 (* end of lemma zenon_L492_ *) % 0.94/1.12 assert (zenon_L493_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H3d zenon_H211 zenon_H1fd zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H159 zenon_Haa zenon_He3 zenon_Hae zenon_H152 zenon_H240 zenon_H273 zenon_H1da zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H72 zenon_Ha5 zenon_H1d9 zenon_Hb2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.12 apply (zenon_L472_); trivial. % 0.94/1.12 apply (zenon_L492_); trivial. % 0.94/1.12 (* end of lemma zenon_L493_ *) % 0.94/1.12 assert (zenon_L494_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H42 zenon_H211 zenon_H1fd zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H159 zenon_Haa zenon_He3 zenon_Hae zenon_H152 zenon_H240 zenon_H273 zenon_H1da zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H72 zenon_Ha5 zenon_H1d9 zenon_Hb2 zenon_H3 zenon_H5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.12 apply (zenon_L3_); trivial. % 0.94/1.12 apply (zenon_L493_); trivial. % 0.94/1.12 (* end of lemma zenon_L494_ *) % 0.94/1.12 assert (zenon_L495_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hb2 zenon_H273 zenon_H1d9 zenon_Ha5 zenon_H72 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H1a3 zenon_H22a zenon_H248 zenon_H22b zenon_Hed zenon_Hec zenon_H2a zenon_H108 zenon_H152 zenon_Hae. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L465_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L74_); trivial. % 0.94/1.12 apply (zenon_L490_); trivial. % 0.94/1.12 apply (zenon_L487_); trivial. % 0.94/1.12 (* end of lemma zenon_L495_ *) % 0.94/1.12 assert (zenon_L496_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H268 zenon_H269 zenon_H26a zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L414_); trivial. % 0.94/1.12 apply (zenon_L278_); trivial. % 0.94/1.12 (* end of lemma zenon_L496_ *) % 0.94/1.12 assert (zenon_L497_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L414_); trivial. % 0.94/1.12 apply (zenon_L276_); trivial. % 0.94/1.12 apply (zenon_L415_); trivial. % 0.94/1.12 apply (zenon_L496_); trivial. % 0.94/1.12 (* end of lemma zenon_L497_ *) % 0.94/1.12 assert (zenon_L498_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H268 zenon_H269 zenon_H26a zenon_H18f zenon_H3 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H273. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L408_); trivial. % 0.94/1.12 apply (zenon_L280_); trivial. % 0.94/1.12 (* end of lemma zenon_L498_ *) % 0.94/1.12 assert (zenon_L499_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp20)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a179))) -> (c0_1 (a179)) -> (c2_1 (a179)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp27)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H13a zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H19c zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_Hb1 zenon_H1f0 zenon_H1f1 zenon_H1f2 zenon_H19e zenon_H117. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.12 apply (zenon_L383_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.12 apply (zenon_L207_); trivial. % 0.94/1.12 exact (zenon_H117 zenon_H118). % 0.94/1.12 (* end of lemma zenon_L499_ *) % 0.94/1.12 assert (zenon_L500_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp27)) -> (~(c1_1 (a179))) -> (c0_1 (a179)) -> (c2_1 (a179)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(hskp20)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H13e zenon_H273 zenon_H117 zenon_H1f0 zenon_H1f1 zenon_H1f2 zenon_H240 zenon_H98 zenon_Hb1 zenon_H1e zenon_H1d zenon_H1c zenon_H19c zenon_H19e zenon_H26a zenon_H269 zenon_H268 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H236 zenon_H59 zenon_H13f. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.12 apply (zenon_L205_); trivial. % 0.94/1.12 apply (zenon_L499_); trivial. % 0.94/1.12 (* end of lemma zenon_L500_ *) % 0.94/1.12 assert (zenon_L501_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a179)) -> (c0_1 (a179)) -> (~(c1_1 (a179))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H19c zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H240 zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H273 zenon_H13e. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L500_); trivial. % 0.94/1.12 apply (zenon_L280_); trivial. % 0.94/1.12 (* end of lemma zenon_L501_ *) % 0.94/1.12 assert (zenon_L502_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H1f9 zenon_Haa zenon_H152 zenon_H159 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H19c zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H240 zenon_H273 zenon_H13e zenon_H75 zenon_H76 zenon_H77 zenon_H3b zenon_H80. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L38_); trivial. % 0.94/1.12 apply (zenon_L501_); trivial. % 0.94/1.12 (* end of lemma zenon_L502_ *) % 0.94/1.12 assert (zenon_L503_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha9 zenon_H1db zenon_H246 zenon_Haa zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H268 zenon_H269 zenon_H26a zenon_H18f zenon_H3 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H273 zenon_H3b zenon_H80 zenon_H13e zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H236 zenon_H59 zenon_H13f zenon_H1fc. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L38_); trivial. % 0.94/1.12 apply (zenon_L498_); trivial. % 0.94/1.12 apply (zenon_L502_); trivial. % 0.94/1.12 apply (zenon_L210_); trivial. % 0.94/1.12 (* end of lemma zenon_L503_ *) % 0.94/1.12 assert (zenon_L504_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hdf zenon_Hae zenon_H1db zenon_H246 zenon_H220 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H3b zenon_H80 zenon_H240 zenon_H19e zenon_H236 zenon_H59 zenon_H1fc zenon_H151 zenon_H1fd zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_Hb1 zenon_H98 zenon_H164 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L497_); trivial. % 0.94/1.12 apply (zenon_L503_); trivial. % 0.94/1.12 (* end of lemma zenon_L504_ *) % 0.94/1.12 assert (zenon_L505_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp24)) -> (~(hskp5)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp27)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H7e zenon_H3b zenon_Hf zenon_Hb1 zenon_H98 zenon_H80 zenon_H117. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.12 apply (zenon_L383_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.12 apply (zenon_L190_); trivial. % 0.94/1.12 exact (zenon_H117 zenon_H118). % 0.94/1.12 (* end of lemma zenon_L505_ *) % 0.94/1.12 assert (zenon_L506_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp24)) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H12b zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H7e zenon_H3b zenon_H98 zenon_Hb1 zenon_H273. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L505_); trivial. % 0.94/1.12 apply (zenon_L81_); trivial. % 0.94/1.12 (* end of lemma zenon_L506_ *) % 0.94/1.12 assert (zenon_L507_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp24)) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H14c zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H7e zenon_H3b zenon_H98 zenon_Hb1 zenon_H273. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L505_); trivial. % 0.94/1.12 apply (zenon_L148_); trivial. % 0.94/1.12 (* end of lemma zenon_L507_ *) % 0.94/1.12 assert (zenon_L508_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> (~(hskp24)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H7e zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.12 apply (zenon_L506_); trivial. % 0.94/1.12 apply (zenon_L507_); trivial. % 0.94/1.12 (* end of lemma zenon_L508_ *) % 0.94/1.12 assert (zenon_L509_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Haa zenon_H159 zenon_H164 zenon_H6e zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L508_); trivial. % 0.94/1.12 apply (zenon_L416_); trivial. % 0.94/1.12 (* end of lemma zenon_L509_ *) % 0.94/1.12 assert (zenon_L510_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H1f9 zenon_H152 zenon_H77 zenon_H76 zenon_H75 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H19c zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H240 zenon_H273 zenon_H13e. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.12 apply (zenon_L223_); trivial. % 0.94/1.12 apply (zenon_L499_); trivial. % 0.94/1.12 apply (zenon_L261_); trivial. % 0.94/1.12 (* end of lemma zenon_L510_ *) % 0.94/1.12 assert (zenon_L511_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha9 zenon_H1db zenon_H246 zenon_Haa zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_H18f zenon_H3 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H273 zenon_H3b zenon_H80 zenon_H13e zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H1fc. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L38_); trivial. % 0.94/1.12 apply (zenon_L455_); trivial. % 0.94/1.12 apply (zenon_L510_); trivial. % 0.94/1.12 apply (zenon_L210_); trivial. % 0.94/1.12 (* end of lemma zenon_L511_ *) % 0.94/1.12 assert (zenon_L512_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hdf zenon_Hae zenon_H1db zenon_H246 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H240 zenon_H19e zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H1fc zenon_H151 zenon_H1fd zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_H164 zenon_H159 zenon_Haa. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L509_); trivial. % 0.94/1.12 apply (zenon_L511_); trivial. % 0.94/1.12 (* end of lemma zenon_L512_ *) % 0.94/1.12 assert (zenon_L513_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H273. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.12 apply (zenon_L383_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.12 apply (zenon_L184_); trivial. % 0.94/1.12 exact (zenon_H117 zenon_H118). % 0.94/1.12 apply (zenon_L280_); trivial. % 0.94/1.12 (* end of lemma zenon_L513_ *) % 0.94/1.12 assert (zenon_L514_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H273 zenon_H3b zenon_H80. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L38_); trivial. % 0.94/1.12 apply (zenon_L513_); trivial. % 0.94/1.12 (* end of lemma zenon_L514_ *) % 0.94/1.12 assert (zenon_L515_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hcf zenon_Hae zenon_Haa zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H273 zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hcd zenon_Hd0. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L187_); trivial. % 0.94/1.12 apply (zenon_L514_); trivial. % 0.94/1.12 (* end of lemma zenon_L515_ *) % 0.94/1.12 assert (zenon_L516_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hd4 zenon_Hcd zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H273 zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H26a zenon_H269 zenon_H268 zenon_H152 zenon_Haa zenon_Hae. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_L183_); trivial. % 0.94/1.12 apply (zenon_L514_); trivial. % 0.94/1.12 apply (zenon_L515_); trivial. % 0.94/1.12 (* end of lemma zenon_L516_ *) % 0.94/1.12 assert (zenon_L517_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_Hae zenon_Haa zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H273 zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4. % 0.94/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.12 apply (zenon_L516_); trivial. % 0.94/1.12 apply (zenon_L59_); trivial. % 0.94/1.12 (* end of lemma zenon_L517_ *) % 0.94/1.12 assert (zenon_L518_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> (~(hskp24)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H7e zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H6e zenon_H70 zenon_H72 zenon_H13e zenon_H152. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.12 apply (zenon_L505_); trivial. % 0.94/1.12 apply (zenon_L276_); trivial. % 0.94/1.12 apply (zenon_L507_); trivial. % 0.94/1.12 (* end of lemma zenon_L518_ *) % 0.94/1.12 assert (zenon_L519_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hdf zenon_Hae zenon_H151 zenon_H1fd zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_Haa. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L518_); trivial. % 0.94/1.12 apply (zenon_L513_); trivial. % 0.94/1.12 apply (zenon_L514_); trivial. % 0.94/1.12 (* end of lemma zenon_L519_ *) % 0.94/1.12 assert (zenon_L520_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_Hb2 zenon_H151 zenon_H1fd zenon_H13f zenon_H12d zenon_H13e zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H273 zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H26a zenon_H269 zenon_H268 zenon_H152 zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_L517_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.12 apply (zenon_L516_); trivial. % 0.94/1.12 apply (zenon_L519_); trivial. % 0.94/1.12 (* end of lemma zenon_L520_ *) % 0.94/1.12 assert (zenon_L521_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H1fd zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.12 apply (zenon_L60_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.12 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.12 apply (zenon_L57_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.12 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.12 apply (zenon_L508_); trivial. % 0.94/1.12 apply (zenon_L426_); trivial. % 0.94/1.12 (* end of lemma zenon_L521_ *) % 0.94/1.12 assert (zenon_L522_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H10a zenon_H211 zenon_He3 zenon_He0 zenon_Hae zenon_Haa zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_H220 zenon_H273 zenon_H3b zenon_H80 zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H13e zenon_H12d zenon_H13f zenon_H1fd zenon_H151 zenon_Hb2. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.12 apply (zenon_L520_); trivial. % 0.94/1.12 apply (zenon_L521_); trivial. % 0.94/1.12 (* end of lemma zenon_L522_ *) % 0.94/1.12 assert (zenon_L523_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a196)) -> (~(c0_1 (a196))) -> (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (~(c1_1 (a196))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H1d3 zenon_H1c7 zenon_H1c6 zenon_H192 zenon_H1c5 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.94/1.12 apply (zenon_L126_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.94/1.12 apply (zenon_L54_); trivial. % 0.94/1.12 apply (zenon_L158_); trivial. % 0.94/1.12 (* end of lemma zenon_L523_ *) % 0.94/1.12 assert (zenon_L524_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.94/1.12 do 0 intro. intros zenon_H1a3 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.94/1.12 apply (zenon_L523_); trivial. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.94/1.12 apply (zenon_L117_); trivial. % 0.94/1.12 apply (zenon_L158_); trivial. % 0.94/1.12 (* end of lemma zenon_L524_ *) % 0.94/1.12 assert (zenon_L525_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.94/1.12 do 0 intro. intros zenon_H1d5 zenon_H13e zenon_H159 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H83 zenon_H8c zenon_H82 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.12 apply (zenon_L205_); trivial. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.12 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.12 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.94/1.13 apply (zenon_L168_); trivial. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.94/1.13 apply (zenon_L85_); trivial. % 0.94/1.13 apply (zenon_L524_); trivial. % 0.94/1.13 (* end of lemma zenon_L525_ *) % 0.94/1.13 assert (zenon_L526_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.13 apply (zenon_L314_); trivial. % 0.94/1.13 apply (zenon_L525_); trivial. % 0.94/1.13 (* end of lemma zenon_L526_ *) % 0.94/1.13 assert (zenon_L527_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H1d8 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152 zenon_H3b zenon_H80. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L38_); trivial. % 0.94/1.13 apply (zenon_L526_); trivial. % 0.94/1.13 (* end of lemma zenon_L527_ *) % 0.94/1.13 assert (zenon_L528_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H151 zenon_H1fd zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H12d zenon_H152 zenon_H159 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H13f zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H59 zenon_H3b zenon_H5d. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L30_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_L215_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_L214_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L518_); trivial. % 0.94/1.13 apply (zenon_L526_); trivial. % 0.94/1.13 apply (zenon_L527_); trivial. % 0.94/1.13 (* end of lemma zenon_L528_ *) % 0.94/1.13 assert (zenon_L529_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H13a zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82 zenon_H1a3 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.94/1.13 apply (zenon_L50_); trivial. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.94/1.13 apply (zenon_L85_); trivial. % 0.94/1.13 apply (zenon_L524_); trivial. % 0.94/1.13 (* end of lemma zenon_L529_ *) % 0.94/1.13 assert (zenon_L530_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.13 apply (zenon_L326_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.13 apply (zenon_L223_); trivial. % 0.94/1.13 apply (zenon_L529_); trivial. % 0.94/1.13 (* end of lemma zenon_L530_ *) % 0.94/1.13 assert (zenon_L531_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L508_); trivial. % 0.94/1.13 apply (zenon_L530_); trivial. % 0.94/1.13 (* end of lemma zenon_L531_ *) % 0.94/1.13 assert (zenon_L532_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hdf zenon_Hd4 zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_H1fd zenon_H151 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_Hbd zenon_Hc1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_L53_); trivial. % 0.94/1.13 apply (zenon_L531_); trivial. % 0.94/1.13 (* end of lemma zenon_L532_ *) % 0.94/1.13 assert (zenon_L533_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H1fd zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L60_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_L57_); trivial. % 0.94/1.13 apply (zenon_L532_); trivial. % 0.94/1.13 (* end of lemma zenon_L533_ *) % 0.94/1.13 assert (zenon_L534_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (~(hskp25)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp24)) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H152 zenon_H25a zenon_Ha zenon_H12b zenon_H12d zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H7e zenon_H3b zenon_H98 zenon_Hb1 zenon_H273. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.13 apply (zenon_L505_); trivial. % 0.94/1.13 apply (zenon_L440_); trivial. % 0.94/1.13 (* end of lemma zenon_L534_ *) % 0.94/1.13 assert (zenon_L535_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> (~(hskp24)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H7e zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H12d zenon_Ha zenon_H25a zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L534_); trivial. % 0.94/1.13 apply (zenon_L83_); trivial. % 0.94/1.13 (* end of lemma zenon_L535_ *) % 0.94/1.13 assert (zenon_L536_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Haa zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H164 zenon_H6e zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L535_); trivial. % 0.94/1.13 apply (zenon_L496_); trivial. % 0.94/1.13 (* end of lemma zenon_L536_ *) % 0.94/1.13 assert (zenon_L537_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Hae zenon_H1db zenon_H246 zenon_H220 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H13e zenon_H240 zenon_H19e zenon_H236 zenon_H59 zenon_H13f zenon_H1fc zenon_H151 zenon_H14d zenon_H273 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_H12d zenon_Ha zenon_H25a zenon_H152 zenon_H1c zenon_H1d zenon_H1e zenon_H164 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_L536_); trivial. % 0.94/1.13 apply (zenon_L503_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_L187_); trivial. % 0.94/1.13 apply (zenon_L503_); trivial. % 0.94/1.13 apply (zenon_L504_); trivial. % 0.94/1.13 (* end of lemma zenon_L537_ *) % 0.94/1.13 assert (zenon_L538_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H164 zenon_H6e zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L535_); trivial. % 0.94/1.13 apply (zenon_L416_); trivial. % 0.94/1.13 (* end of lemma zenon_L538_ *) % 0.94/1.13 assert (zenon_L539_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Hae zenon_H1db zenon_H246 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H13e zenon_H240 zenon_H19e zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H1fc zenon_H151 zenon_H14d zenon_H273 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_H12d zenon_Ha zenon_H25a zenon_H152 zenon_H1c zenon_H1d zenon_H1e zenon_H164 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_L538_); trivial. % 0.94/1.13 apply (zenon_L511_); trivial. % 0.94/1.13 apply (zenon_L56_); trivial. % 0.94/1.13 apply (zenon_L512_); trivial. % 0.94/1.13 (* end of lemma zenon_L539_ *) % 0.94/1.13 assert (zenon_L540_ : ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (~(hskp17)) -> False). % 0.94/1.13 do 0 intro. intros zenon_H17c zenon_H184 zenon_H183 zenon_H182 zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_Hbf. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H17c); [ zenon_intro zenon_H1a | zenon_intro zenon_H17d ]. % 0.94/1.13 apply (zenon_L108_); trivial. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H17d); [ zenon_intro zenon_H74 | zenon_intro zenon_Hc0 ]. % 0.94/1.13 apply (zenon_L103_); trivial. % 0.94/1.13 exact (zenon_Hbf zenon_Hc0). % 0.94/1.13 (* end of lemma zenon_L540_ *) % 0.94/1.13 assert (zenon_L541_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp17)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c2_1 (a159))) -> (~(c3_1 (a159))) -> (c0_1 (a159)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp27)) -> False). % 0.94/1.13 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_Hbf zenon_Hf zenon_Hb1 zenon_H98 zenon_H182 zenon_H183 zenon_H184 zenon_H17c zenon_H117. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.13 apply (zenon_L383_); trivial. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.13 apply (zenon_L540_); trivial. % 0.94/1.13 exact (zenon_H117 zenon_H118). % 0.94/1.13 (* end of lemma zenon_L541_ *) % 0.94/1.13 assert (zenon_L542_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H6e zenon_H70 zenon_H72 zenon_H268 zenon_H269 zenon_H26a zenon_H17c zenon_Hbf zenon_H98 zenon_Hb1 zenon_H184 zenon_H183 zenon_H182 zenon_H273. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.13 apply (zenon_L541_); trivial. % 0.94/1.13 apply (zenon_L278_); trivial. % 0.94/1.13 (* end of lemma zenon_L542_ *) % 0.94/1.13 assert (zenon_L543_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H18b zenon_Hae zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_H12d zenon_Ha zenon_H25a zenon_H152 zenon_H17c zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L535_); trivial. % 0.94/1.13 apply (zenon_L542_); trivial. % 0.94/1.13 apply (zenon_L311_); trivial. % 0.94/1.13 (* end of lemma zenon_L543_ *) % 0.94/1.13 assert (zenon_L544_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> (~(hskp24)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H7e zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H12d zenon_Ha zenon_H25a zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L534_); trivial. % 0.94/1.13 apply (zenon_L507_); trivial. % 0.94/1.13 (* end of lemma zenon_L544_ *) % 0.94/1.13 assert (zenon_L545_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H18b zenon_Hae zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_Hbf zenon_H17c zenon_H159 zenon_Haa. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L518_); trivial. % 0.94/1.13 apply (zenon_L542_); trivial. % 0.94/1.13 apply (zenon_L311_); trivial. % 0.94/1.13 (* end of lemma zenon_L545_ *) % 0.94/1.13 assert (zenon_L546_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_H17c zenon_Hbf zenon_H98 zenon_Hb1 zenon_H184 zenon_H183 zenon_H182 zenon_H273. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.13 apply (zenon_L541_); trivial. % 0.94/1.13 apply (zenon_L87_); trivial. % 0.94/1.13 (* end of lemma zenon_L546_ *) % 0.94/1.13 assert (zenon_L547_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H18b zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H17c zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L535_); trivial. % 0.94/1.13 apply (zenon_L546_); trivial. % 0.94/1.13 (* end of lemma zenon_L547_ *) % 0.94/1.13 assert (zenon_L548_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hdf zenon_Hd4 zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_Haa zenon_H1d9 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_H1fd zenon_H151 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H17c zenon_H18e. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L508_); trivial. % 0.94/1.13 apply (zenon_L241_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L544_); trivial. % 0.94/1.13 apply (zenon_L546_); trivial. % 0.94/1.13 apply (zenon_L531_); trivial. % 0.94/1.13 (* end of lemma zenon_L548_ *) % 0.94/1.13 assert (zenon_L549_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H13d zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H7e zenon_H12b zenon_H13f. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.94/1.13 apply (zenon_L168_); trivial. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.94/1.13 apply (zenon_L77_); trivial. % 0.94/1.13 exact (zenon_H12f zenon_H130). % 0.94/1.13 apply (zenon_L80_); trivial. % 0.94/1.13 (* end of lemma zenon_L549_ *) % 0.94/1.13 assert (zenon_L550_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H7e zenon_H12b zenon_H13f zenon_Hf zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.13 apply (zenon_L469_); trivial. % 0.94/1.13 apply (zenon_L549_); trivial. % 0.94/1.13 (* end of lemma zenon_L550_ *) % 0.94/1.13 assert (zenon_L551_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_Ha5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_Hf zenon_H13f zenon_H7e zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L550_); trivial. % 0.94/1.13 apply (zenon_L83_); trivial. % 0.94/1.13 (* end of lemma zenon_L551_ *) % 0.94/1.13 assert (zenon_L552_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.13 apply (zenon_L469_); trivial. % 0.94/1.13 apply (zenon_L280_); trivial. % 0.94/1.13 (* end of lemma zenon_L552_ *) % 0.94/1.13 assert (zenon_L553_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L551_); trivial. % 0.94/1.13 apply (zenon_L552_); trivial. % 0.94/1.13 (* end of lemma zenon_L553_ *) % 0.94/1.13 assert (zenon_L554_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_Ha5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_Hf zenon_H13f zenon_H7e zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L550_); trivial. % 0.94/1.13 apply (zenon_L476_); trivial. % 0.94/1.13 (* end of lemma zenon_L554_ *) % 0.94/1.13 assert (zenon_L555_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H98 zenon_Hb1 zenon_H97 zenon_Ha5 zenon_H1fd zenon_H151. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L554_); trivial. % 0.94/1.13 apply (zenon_L552_); trivial. % 0.94/1.13 (* end of lemma zenon_L555_ *) % 0.94/1.13 assert (zenon_L556_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_Hd0 zenon_H72 zenon_H80 zenon_H3b zenon_Hae zenon_Hd4. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_L553_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_L187_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L38_); trivial. % 0.94/1.13 apply (zenon_L552_); trivial. % 0.94/1.13 apply (zenon_L555_); trivial. % 0.94/1.13 (* end of lemma zenon_L556_ *) % 0.94/1.13 assert (zenon_L557_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> (~(hskp24)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_Hb1 zenon_H98 zenon_H3b zenon_H7e zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L506_); trivial. % 0.94/1.13 apply (zenon_L83_); trivial. % 0.94/1.13 (* end of lemma zenon_L557_ *) % 0.94/1.13 assert (zenon_L558_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H15b zenon_H15c zenon_H15d zenon_Ha5 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L557_); trivial. % 0.94/1.13 apply (zenon_L475_); trivial. % 0.94/1.13 apply (zenon_L56_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L508_); trivial. % 0.94/1.13 apply (zenon_L475_); trivial. % 0.94/1.13 (* end of lemma zenon_L558_ *) % 0.94/1.13 assert (zenon_L559_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_H15b zenon_H15c zenon_H15d zenon_Ha5 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L60_); trivial. % 0.94/1.13 apply (zenon_L558_); trivial. % 0.94/1.13 (* end of lemma zenon_L559_ *) % 0.94/1.13 assert (zenon_L560_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hb2 zenon_H1fd zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L283_); trivial. % 0.94/1.13 apply (zenon_L556_); trivial. % 0.94/1.13 (* end of lemma zenon_L560_ *) % 0.94/1.13 assert (zenon_L561_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_H15b zenon_H15c zenon_H15d zenon_Ha5 zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L88_); trivial. % 0.94/1.13 apply (zenon_L558_); trivial. % 0.94/1.13 (* end of lemma zenon_L561_ *) % 0.94/1.13 assert (zenon_L562_ : ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a133)))/\((~(c1_1 (a133)))/\(~(c2_1 (a133))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((hskp9)\/((hskp21)\/(hskp6))) -> ((hskp11)\/(hskp8)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H28d zenon_Ha5 zenon_H166 zenon_H1a3 zenon_H1e2 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_H5d zenon_H35 zenon_H271 zenon_H26a zenon_H269 zenon_H268 zenon_Hc zenon_H5 zenon_H211 zenon_He3 zenon_He0 zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H13f zenon_H3b zenon_H80 zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H159 zenon_H152 zenon_H12d zenon_H164 zenon_H273 zenon_H1fd zenon_H151 zenon_H1fc zenon_H19e zenon_H240 zenon_H1e6 zenon_H18f zenon_H246 zenon_H1db zenon_Hb2 zenon_H167 zenon_H42 zenon_H254 zenon_H14d zenon_H25a zenon_H119 zenon_H239 zenon_H17c zenon_H18e zenon_H28e. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.94/1.13 apply (zenon_L385_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.13 apply (zenon_L3_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L216_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_L215_); trivial. % 0.94/1.13 apply (zenon_L504_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L60_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_L57_); trivial. % 0.94/1.13 apply (zenon_L512_); trivial. % 0.94/1.13 apply (zenon_L522_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.13 apply (zenon_L528_); trivial. % 0.94/1.13 apply (zenon_L533_); trivial. % 0.94/1.13 apply (zenon_L522_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.94/1.13 apply (zenon_L385_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.13 apply (zenon_L3_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L30_); trivial. % 0.94/1.13 apply (zenon_L537_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L88_); trivial. % 0.94/1.13 apply (zenon_L539_); trivial. % 0.94/1.13 apply (zenon_L268_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L30_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L535_); trivial. % 0.94/1.13 apply (zenon_L252_); trivial. % 0.94/1.13 apply (zenon_L543_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.13 apply (zenon_L187_); trivial. % 0.94/1.13 apply (zenon_L527_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L544_); trivial. % 0.94/1.13 apply (zenon_L252_); trivial. % 0.94/1.13 apply (zenon_L545_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L544_); trivial. % 0.94/1.13 apply (zenon_L526_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.13 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L30_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L535_); trivial. % 0.94/1.13 apply (zenon_L241_); trivial. % 0.94/1.13 apply (zenon_L547_); trivial. % 0.94/1.13 apply (zenon_L56_); trivial. % 0.94/1.13 apply (zenon_L548_); trivial. % 0.94/1.13 apply (zenon_L268_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.13 apply (zenon_L216_); trivial. % 0.94/1.13 apply (zenon_L556_); trivial. % 0.94/1.13 apply (zenon_L559_); trivial. % 0.94/1.13 apply (zenon_L522_); trivial. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 0.94/1.13 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.13 apply (zenon_L560_); trivial. % 0.94/1.13 apply (zenon_L561_); trivial. % 0.94/1.13 (* end of lemma zenon_L562_ *) % 0.94/1.13 assert (zenon_L563_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H7e zenon_H12b zenon_H174 zenon_H16d zenon_H16c zenon_H273. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.13 apply (zenon_L411_); trivial. % 0.94/1.13 apply (zenon_L549_); trivial. % 0.94/1.13 (* end of lemma zenon_L563_ *) % 0.94/1.13 assert (zenon_L564_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L563_); trivial. % 0.94/1.13 apply (zenon_L83_); trivial. % 0.94/1.13 (* end of lemma zenon_L564_ *) % 0.94/1.13 assert (zenon_L565_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152. % 0.94/1.13 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.13 apply (zenon_L563_); trivial. % 0.94/1.13 apply (zenon_L312_); trivial. % 0.94/1.13 (* end of lemma zenon_L565_ *) % 0.94/1.13 assert (zenon_L566_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H23b zenon_Hbd zenon_H236 zenon_H59 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.13 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L565_); trivial. % 0.94/1.13 apply (zenon_L212_); trivial. % 0.94/1.13 (* end of lemma zenon_L566_ *) % 0.94/1.13 assert (zenon_L567_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152 zenon_H59 zenon_H236 zenon_Hbd zenon_H23b zenon_Haa. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.13 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.13 apply (zenon_L564_); trivial. % 0.94/1.13 apply (zenon_L212_); trivial. % 0.94/1.13 apply (zenon_L566_); trivial. % 0.94/1.13 (* end of lemma zenon_L567_ *) % 0.94/1.13 assert (zenon_L568_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.13 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_Haa zenon_H23b zenon_Hbd zenon_H236 zenon_H59 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4. % 0.94/1.13 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.13 apply (zenon_L567_); trivial. % 0.94/1.13 apply (zenon_L59_); trivial. % 0.94/1.14 (* end of lemma zenon_L568_ *) % 0.94/1.14 assert (zenon_L569_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a179)) -> (c0_1 (a179)) -> (~(c1_1 (a179))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H14c zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H19c zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H240 zenon_H1f2 zenon_H1f1 zenon_H1f0 zenon_H273 zenon_H13e. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.14 apply (zenon_L500_); trivial. % 0.94/1.14 apply (zenon_L148_); trivial. % 0.94/1.14 (* end of lemma zenon_L569_ *) % 0.94/1.14 assert (zenon_L570_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(hskp20)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1f9 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H240 zenon_H98 zenon_Hb1 zenon_H1e zenon_H1d zenon_H1c zenon_H19c zenon_H19e zenon_H236 zenon_H59 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.14 apply (zenon_L563_); trivial. % 0.94/1.14 apply (zenon_L569_); trivial. % 0.94/1.14 apply (zenon_L501_); trivial. % 0.94/1.14 (* end of lemma zenon_L570_ *) % 0.94/1.14 assert (zenon_L571_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Had zenon_He3 zenon_H1db zenon_H246 zenon_H159 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H3 zenon_H18f zenon_H1fd zenon_H19e zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H1fc zenon_Haa zenon_H23b zenon_Hbd zenon_H236 zenon_H59 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_L567_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.14 apply (zenon_L563_); trivial. % 0.94/1.14 apply (zenon_L459_); trivial. % 0.94/1.14 apply (zenon_L498_); trivial. % 0.94/1.14 apply (zenon_L570_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 (* end of lemma zenon_L571_ *) % 0.94/1.14 assert (zenon_L572_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp22)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1d3 zenon_H1e4 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_H132 zenon_H133. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.94/1.14 apply (zenon_L201_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.94/1.14 apply (zenon_L54_); trivial. % 0.94/1.14 apply (zenon_L206_); trivial. % 0.94/1.14 (* end of lemma zenon_L572_ *) % 0.94/1.14 assert (zenon_L573_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_H1d3 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hb1 zenon_H98 zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H273 zenon_H13e. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.14 apply (zenon_L223_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.14 apply (zenon_L383_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.14 apply (zenon_L572_); trivial. % 0.94/1.14 exact (zenon_H117 zenon_H118). % 0.94/1.14 apply (zenon_L87_); trivial. % 0.94/1.14 (* end of lemma zenon_L573_ *) % 0.94/1.14 assert (zenon_L574_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp8)) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Hae zenon_H1db zenon_H246 zenon_H3 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H240 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H1d3 zenon_H19e zenon_H1fc zenon_H151 zenon_H1fd zenon_H164 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.14 apply (zenon_L60_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_L57_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_L53_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L417_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L425_); trivial. % 0.94/1.14 apply (zenon_L573_); trivial. % 0.94/1.14 apply (zenon_L510_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 (* end of lemma zenon_L574_ *) % 0.94/1.14 assert (zenon_L575_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L565_); trivial. % 0.94/1.14 apply (zenon_L513_); trivial. % 0.94/1.14 (* end of lemma zenon_L575_ *) % 0.94/1.14 assert (zenon_L576_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H103 zenon_Hfa zenon_Hfc zenon_H1fd zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.14 apply (zenon_L563_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.14 apply (zenon_L383_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.14 apply (zenon_L194_); trivial. % 0.94/1.14 exact (zenon_H117 zenon_H118). % 0.94/1.14 apply (zenon_L148_); trivial. % 0.94/1.14 apply (zenon_L513_); trivial. % 0.94/1.14 (* end of lemma zenon_L576_ *) % 0.94/1.14 assert (zenon_L577_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L564_); trivial. % 0.94/1.14 apply (zenon_L513_); trivial. % 0.94/1.14 apply (zenon_L575_); trivial. % 0.94/1.14 apply (zenon_L576_); trivial. % 0.94/1.14 (* end of lemma zenon_L577_ *) % 0.94/1.14 assert (zenon_L578_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H10a zenon_H211 zenon_Hbd zenon_Hc1 zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_H1fd zenon_He3. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.14 apply (zenon_L577_); trivial. % 0.94/1.14 apply (zenon_L427_); trivial. % 0.94/1.14 (* end of lemma zenon_L578_ *) % 0.94/1.14 assert (zenon_L579_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp7)) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H18b zenon_Hae zenon_H17c zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hbd zenon_Hbf zenon_Hc1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L183_); trivial. % 0.94/1.14 apply (zenon_L311_); trivial. % 0.94/1.14 (* end of lemma zenon_L579_ *) % 0.94/1.14 assert (zenon_L580_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H1d8 zenon_H1d9 zenon_H1c1 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L565_); trivial. % 0.94/1.14 apply (zenon_L319_); trivial. % 0.94/1.14 (* end of lemma zenon_L580_ *) % 0.94/1.14 assert (zenon_L581_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Had zenon_Hd4 zenon_Haa zenon_H1d8 zenon_H1c1 zenon_H159 zenon_H152 zenon_H13e zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H273 zenon_H1d3 zenon_H151 zenon_H1d9 zenon_H239 zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_Hec zenon_Hed zenon_H1e2 zenon_Hc1 zenon_Hbd zenon_H72 zenon_H17c zenon_Hae zenon_H18e. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.14 apply (zenon_L307_); trivial. % 0.94/1.14 apply (zenon_L579_); trivial. % 0.94/1.14 apply (zenon_L580_); trivial. % 0.94/1.14 (* end of lemma zenon_L581_ *) % 0.94/1.14 assert (zenon_L582_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Hb2 zenon_H1d8 zenon_H1c1 zenon_H159 zenon_H1d9 zenon_H239 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_Hc1 zenon_H72 zenon_H17c zenon_Hae zenon_H18e zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152 zenon_H59 zenon_H236 zenon_Hbd zenon_H23b zenon_Haa zenon_He0 zenon_He3. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.14 apply (zenon_L568_); trivial. % 0.94/1.14 apply (zenon_L581_); trivial. % 0.94/1.14 (* end of lemma zenon_L582_ *) % 0.94/1.14 assert (zenon_L583_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H13a zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.94/1.14 apply (zenon_L50_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.94/1.14 apply (zenon_L85_); trivial. % 0.94/1.14 apply (zenon_L316_); trivial. % 0.94/1.14 (* end of lemma zenon_L583_ *) % 0.94/1.14 assert (zenon_L584_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1d5 zenon_H13e zenon_H159 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H83 zenon_H8c zenon_H82 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.14 apply (zenon_L223_); trivial. % 0.94/1.14 apply (zenon_L583_); trivial. % 0.94/1.14 (* end of lemma zenon_L584_ *) % 0.94/1.14 assert (zenon_L585_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H1d8 zenon_H1d9 zenon_H1c1 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L425_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.14 apply (zenon_L326_); trivial. % 0.94/1.14 apply (zenon_L584_); trivial. % 0.94/1.14 (* end of lemma zenon_L585_ *) % 0.94/1.14 assert (zenon_L586_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Haa zenon_H1d8 zenon_H1d9 zenon_H1c1 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H152 zenon_H13e zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.14 apply (zenon_L60_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_L53_); trivial. % 0.94/1.14 apply (zenon_L585_); trivial. % 0.94/1.14 (* end of lemma zenon_L586_ *) % 0.94/1.14 assert (zenon_L587_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_He3 zenon_Hae zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H268 zenon_H269 zenon_H26a zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H151 zenon_H14d zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L279_); trivial. % 0.94/1.14 apply (zenon_L400_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L187_); trivial. % 0.94/1.14 apply (zenon_L262_); trivial. % 0.94/1.14 apply (zenon_L59_); trivial. % 0.94/1.14 (* end of lemma zenon_L587_ *) % 0.94/1.14 assert (zenon_L588_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1f9 zenon_Haa zenon_H159 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H19c zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H240 zenon_H13e zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L447_); trivial. % 0.94/1.14 apply (zenon_L501_); trivial. % 0.94/1.14 (* end of lemma zenon_L588_ *) % 0.94/1.14 assert (zenon_L589_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1f9 zenon_Haa zenon_H159 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H19c zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H240 zenon_H13e zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1d3 zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L449_); trivial. % 0.94/1.14 apply (zenon_L501_); trivial. % 0.94/1.14 (* end of lemma zenon_L589_ *) % 0.94/1.14 assert (zenon_L590_ : ((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(hskp20)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1f9 zenon_Haa zenon_H159 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H13e zenon_H240 zenon_H98 zenon_Hb1 zenon_H1e zenon_H1d zenon_H1c zenon_H19c zenon_H19e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1f9). zenon_intro zenon_Hf. zenon_intro zenon_H1fa. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fa). zenon_intro zenon_H1f1. zenon_intro zenon_H1fb. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H1fb). zenon_intro zenon_H1f2. zenon_intro zenon_H1f0. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.14 apply (zenon_L446_); trivial. % 0.94/1.14 apply (zenon_L569_); trivial. % 0.94/1.14 apply (zenon_L501_); trivial. % 0.94/1.14 (* end of lemma zenon_L590_ *) % 0.94/1.14 assert (zenon_L591_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_H1db zenon_H246 zenon_Haa zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H13e zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H236 zenon_H59 zenon_H13f zenon_H1fc zenon_H1d3 zenon_Hd4. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L447_); trivial. % 0.94/1.14 apply (zenon_L498_); trivial. % 0.94/1.14 apply (zenon_L588_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L449_); trivial. % 0.94/1.14 apply (zenon_L498_); trivial. % 0.94/1.14 apply (zenon_L589_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L460_); trivial. % 0.94/1.14 apply (zenon_L498_); trivial. % 0.94/1.14 apply (zenon_L590_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 (* end of lemma zenon_L591_ *) % 0.94/1.14 assert (zenon_L592_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H13d zenon_H13e zenon_H12d zenon_H7e zenon_H12b zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H258 zenon_H5b zenon_H226 zenon_H13f. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 0.94/1.14 apply (zenon_L50_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 0.94/1.14 apply (zenon_L258_); trivial. % 0.94/1.14 exact (zenon_H12f zenon_H130). % 0.94/1.14 apply (zenon_L80_); trivial. % 0.94/1.14 (* end of lemma zenon_L592_ *) % 0.94/1.14 assert (zenon_L593_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Ha4 zenon_H152 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H268 zenon_H269 zenon_H26a zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H16c zenon_H273. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.14 apply (zenon_L399_); trivial. % 0.94/1.14 apply (zenon_L87_); trivial. % 0.94/1.14 (* end of lemma zenon_L593_ *) % 0.94/1.14 assert (zenon_L594_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_He3 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H258 zenon_H226 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_He0 zenon_H5b zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.14 apply (zenon_L399_); trivial. % 0.94/1.14 apply (zenon_L592_); trivial. % 0.94/1.14 apply (zenon_L83_); trivial. % 0.94/1.14 apply (zenon_L593_); trivial. % 0.94/1.14 apply (zenon_L56_); trivial. % 0.94/1.14 apply (zenon_L59_); trivial. % 0.94/1.14 (* end of lemma zenon_L594_ *) % 0.94/1.14 assert (zenon_L595_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_H1db zenon_H246 zenon_H59 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H19e zenon_H1fc zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H226 zenon_H258 zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He3. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.14 apply (zenon_L594_); trivial. % 0.94/1.14 apply (zenon_L463_); trivial. % 0.94/1.14 (* end of lemma zenon_L595_ *) % 0.94/1.14 assert (zenon_L596_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Haa zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L447_); trivial. % 0.94/1.14 apply (zenon_L496_); trivial. % 0.94/1.14 (* end of lemma zenon_L596_ *) % 0.94/1.14 assert (zenon_L597_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H18b zenon_Hae zenon_H17c zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_Hb1 zenon_H98 zenon_H164 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L596_); trivial. % 0.94/1.14 apply (zenon_L311_); trivial. % 0.94/1.14 (* end of lemma zenon_L597_ *) % 0.94/1.14 assert (zenon_L598_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp22)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1d3 zenon_H1e4 zenon_H60 zenon_H61 zenon_H62 zenon_Hea zenon_H22a zenon_H22b zenon_H1e6 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.94/1.14 apply (zenon_L370_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.94/1.14 apply (zenon_L54_); trivial. % 0.94/1.14 apply (zenon_L114_); trivial. % 0.94/1.14 (* end of lemma zenon_L598_ *) % 0.94/1.14 assert (zenon_L599_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(hskp27)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1d9 zenon_H1c1 zenon_H1be zenon_H117 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H1e2. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.14 apply (zenon_L168_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.14 apply (zenon_L598_); trivial. % 0.94/1.14 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.14 apply (zenon_L123_); trivial. % 0.94/1.14 (* end of lemma zenon_L599_ *) % 0.94/1.14 assert (zenon_L600_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H13e zenon_H159 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H236 zenon_H59 zenon_H13f zenon_H1d9 zenon_H1c1 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H1e2 zenon_H1c zenon_H1d zenon_H1e zenon_H75 zenon_H76 zenon_H77 zenon_H240 zenon_H152. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.14 apply (zenon_L599_); trivial. % 0.94/1.14 apply (zenon_L261_); trivial. % 0.94/1.14 apply (zenon_L318_); trivial. % 0.94/1.14 (* end of lemma zenon_L600_ *) % 0.94/1.14 assert (zenon_L601_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Haa zenon_H1d8 zenon_H13e zenon_H159 zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H236 zenon_H59 zenon_H13f zenon_H1d9 zenon_H1c1 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H1e2 zenon_H1c zenon_H1d zenon_H1e zenon_H75 zenon_H76 zenon_H77 zenon_H240 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1d3 zenon_H151. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L449_); trivial. % 0.94/1.14 apply (zenon_L600_); trivial. % 0.94/1.14 (* end of lemma zenon_L601_ *) % 0.94/1.14 assert (zenon_L602_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp19)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Haa zenon_H159 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_Hb1 zenon_H98 zenon_H6e zenon_H164 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L452_); trivial. % 0.94/1.14 apply (zenon_L496_); trivial. % 0.94/1.14 (* end of lemma zenon_L602_ *) % 0.94/1.14 assert (zenon_L603_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H18b zenon_Hae zenon_H17c zenon_Hbf zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H164 zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L602_); trivial. % 0.94/1.14 apply (zenon_L311_); trivial. % 0.94/1.14 (* end of lemma zenon_L603_ *) % 0.94/1.14 assert (zenon_L604_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Hb2 zenon_H1fd zenon_H18e zenon_H17c zenon_H1fc zenon_H159 zenon_H13f zenon_H19e zenon_H13e zenon_H1e2 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H22b zenon_H22a zenon_H3 zenon_H18f zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H246 zenon_H1db zenon_Hd0 zenon_H1c1 zenon_H1a3 zenon_H1d8 zenon_Hd4 zenon_H1d3 zenon_Haa zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H72 zenon_H164 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H70 zenon_H1da zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hae zenon_He3. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.14 apply (zenon_L445_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.14 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_L373_); trivial. % 0.94/1.14 apply (zenon_L588_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 apply (zenon_L597_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L187_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_L601_); trivial. % 0.94/1.14 apply (zenon_L589_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_L373_); trivial. % 0.94/1.14 apply (zenon_L590_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 apply (zenon_L603_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.14 apply (zenon_L602_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.14 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.14 apply (zenon_L601_); trivial. % 0.94/1.14 apply (zenon_L590_); trivial. % 0.94/1.14 apply (zenon_L210_); trivial. % 0.94/1.14 (* end of lemma zenon_L604_ *) % 0.94/1.14 assert (zenon_L605_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.14 apply (zenon_L412_); trivial. % 0.94/1.14 apply (zenon_L83_); trivial. % 0.94/1.14 (* end of lemma zenon_L605_ *) % 0.94/1.14 assert (zenon_L606_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_Haa zenon_H159 zenon_H164 zenon_H6e zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.14 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.14 apply (zenon_L605_); trivial. % 0.94/1.14 apply (zenon_L416_); trivial. % 0.94/1.14 (* end of lemma zenon_L606_ *) % 0.94/1.14 assert (zenon_L607_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp22)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp28)) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H3 zenon_Hf zenon_H22a zenon_H22b zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H1e4 zenon_H18f zenon_H1b3. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.14 apply (zenon_L50_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.14 apply (zenon_L371_); trivial. % 0.94/1.14 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.14 (* end of lemma zenon_L607_ *) % 0.94/1.14 assert (zenon_L608_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp8)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c1_1 (a149))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a149)) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1a3 zenon_H3 zenon_Hea zenon_H22a zenon_H22b zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H18f zenon_H97 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H98 zenon_H10 zenon_Hb1 zenon_Hf zenon_H132 zenon_H133. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.94/1.14 apply (zenon_L126_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.94/1.14 apply (zenon_L171_); trivial. % 0.94/1.14 exact (zenon_H3 zenon_H4). % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.94/1.14 apply (zenon_L117_); trivial. % 0.94/1.14 apply (zenon_L206_); trivial. % 0.94/1.14 (* end of lemma zenon_L608_ *) % 0.94/1.14 assert (zenon_L609_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (c3_1 (a150)) -> (c1_1 (a150)) -> (ndr1_0) -> (~(c2_1 (a149))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (c3_1 (a149)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a149))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c2_1 (a196)) -> (~(c0_1 (a196))) -> (~(c1_1 (a196))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(hskp8)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp28)) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H133 zenon_H132 zenon_Hf zenon_Hb1 zenon_H10 zenon_H98 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H97 zenon_H18f zenon_H1c7 zenon_H1c6 zenon_H1c5 zenon_H22b zenon_H22a zenon_H3 zenon_H1a3 zenon_H1b3. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.14 apply (zenon_L50_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.14 apply (zenon_L608_); trivial. % 0.94/1.14 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.14 (* end of lemma zenon_L609_ *) % 0.94/1.14 assert (zenon_L610_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (c2_1 (a196)) -> (~(c0_1 (a196))) -> (~(c1_1 (a196))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp27)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 0.94/1.14 do 0 intro. intros zenon_H1d9 zenon_H239 zenon_H17e zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H1e2 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1c7 zenon_H1c6 zenon_H1c5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H1a3 zenon_H117 zenon_H273 zenon_H13e. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.14 apply (zenon_L223_); trivial. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.14 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 0.94/1.14 apply (zenon_L383_); trivial. % 0.94/1.14 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 0.94/1.14 apply (zenon_L609_); trivial. % 0.94/1.15 exact (zenon_H117 zenon_H118). % 0.94/1.15 apply (zenon_L175_); trivial. % 0.94/1.15 (* end of lemma zenon_L610_ *) % 0.94/1.15 assert (zenon_L611_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp18)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H159 zenon_H13e zenon_H273 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_H26a zenon_H269 zenon_H268 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H17e zenon_H239 zenon_H1d9 zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H18f zenon_H3 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H1e2 zenon_H1c zenon_H1d zenon_H1e zenon_H75 zenon_H76 zenon_H77 zenon_H240 zenon_H152. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.15 apply (zenon_L607_); trivial. % 0.94/1.15 apply (zenon_L123_); trivial. % 0.94/1.15 apply (zenon_L261_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.15 apply (zenon_L610_); trivial. % 0.94/1.15 apply (zenon_L87_); trivial. % 0.94/1.15 (* end of lemma zenon_L611_ *) % 0.94/1.15 assert (zenon_L612_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18b zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H17c zenon_H98 zenon_Hb1 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L447_); trivial. % 0.94/1.15 apply (zenon_L546_); trivial. % 0.94/1.15 (* end of lemma zenon_L612_ *) % 0.94/1.15 assert (zenon_L613_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c2_1 (a192)) -> (~(c3_1 (a192))) -> (~(c1_1 (a192))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18f zenon_H145 zenon_H144 zenon_H143 zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_H3. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.94/1.15 apply (zenon_L82_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.94/1.15 apply (zenon_L171_); trivial. % 0.94/1.15 exact (zenon_H3 zenon_H4). % 0.94/1.15 (* end of lemma zenon_L613_ *) % 0.94/1.15 assert (zenon_L614_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(hskp8)) -> (ndr1_0) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(c1_1 (a192))) -> (~(c3_1 (a192))) -> (c2_1 (a192)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp28)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H3 zenon_Hf zenon_H22a zenon_H22b zenon_H143 zenon_H144 zenon_H145 zenon_H18f zenon_H1b3. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.15 apply (zenon_L50_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.15 apply (zenon_L613_); trivial. % 0.94/1.15 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.15 (* end of lemma zenon_L614_ *) % 0.94/1.15 assert (zenon_L615_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c1_1 (a192))) -> (~(c3_1 (a192))) -> (c2_1 (a192)) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H152 zenon_H240 zenon_H77 zenon_H76 zenon_H75 zenon_H1e zenon_H1d zenon_H1c zenon_H1e2 zenon_H143 zenon_H144 zenon_H145 zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H1be zenon_H1c1 zenon_H1d9. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.15 apply (zenon_L614_); trivial. % 0.94/1.15 apply (zenon_L123_); trivial. % 0.94/1.15 apply (zenon_L261_); trivial. % 0.94/1.15 (* end of lemma zenon_L615_ *) % 0.94/1.15 assert (zenon_L616_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18b zenon_Hae zenon_H17c zenon_Hbf zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H164 zenon_H98 zenon_Hb1 zenon_H97 zenon_H1e zenon_H1d zenon_H1c zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.15 apply (zenon_L417_); trivial. % 0.94/1.15 apply (zenon_L311_); trivial. % 0.94/1.15 (* end of lemma zenon_L616_ *) % 0.94/1.15 assert (zenon_L617_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18e zenon_H17c zenon_Hbf zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H97 zenon_Hb1 zenon_H98 zenon_H164 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151 zenon_H1fc zenon_H19e zenon_H1d8 zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H239 zenon_H1d9 zenon_H1c1 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1e2 zenon_H240 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H246 zenon_H1db zenon_Hae. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.15 apply (zenon_L417_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.15 apply (zenon_L412_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.15 apply (zenon_L615_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.15 apply (zenon_L610_); trivial. % 0.94/1.15 apply (zenon_L148_); trivial. % 0.94/1.15 apply (zenon_L611_); trivial. % 0.94/1.15 apply (zenon_L510_); trivial. % 0.94/1.15 apply (zenon_L210_); trivial. % 0.94/1.15 apply (zenon_L616_); trivial. % 0.94/1.15 (* end of lemma zenon_L617_ *) % 0.94/1.15 assert (zenon_L618_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H152 zenon_H159 zenon_H83 zenon_H8c zenon_H82 zenon_H1e2 zenon_H1e6 zenon_H1e4 zenon_H62 zenon_H61 zenon_H60 zenon_H22b zenon_H22a zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H16c zenon_H174 zenon_H16d zenon_H1d3 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hf zenon_H1be zenon_H1c1 zenon_H1d9. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.15 apply (zenon_L50_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.15 apply (zenon_L598_); trivial. % 0.94/1.15 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.15 apply (zenon_L123_); trivial. % 0.94/1.15 apply (zenon_L87_); trivial. % 0.94/1.15 (* end of lemma zenon_L618_ *) % 0.94/1.15 assert (zenon_L619_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp22)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H13e zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H1d9 zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H22a zenon_H22b zenon_H60 zenon_H61 zenon_H62 zenon_H1e4 zenon_H1e6 zenon_H1e2 zenon_H159 zenon_H152. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.15 apply (zenon_L618_); trivial. % 0.94/1.15 apply (zenon_L584_); trivial. % 0.94/1.15 (* end of lemma zenon_L619_ *) % 0.94/1.15 assert (zenon_L620_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Had zenon_He3 zenon_H1d3 zenon_H1fd zenon_H18e zenon_H17c zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_Haa zenon_H159 zenon_H164 zenon_H1e zenon_H1d zenon_H1c zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H1fc zenon_H19e zenon_H240 zenon_H1e2 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H22b zenon_H22a zenon_H3 zenon_H18f zenon_H1c1 zenon_H1d9 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1a3 zenon_H1d8 zenon_H246 zenon_H1db zenon_Hae zenon_Hd0 zenon_Hd4. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.15 apply (zenon_L606_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L605_); trivial. % 0.94/1.15 apply (zenon_L611_); trivial. % 0.94/1.15 apply (zenon_L510_); trivial. % 0.94/1.15 apply (zenon_L210_); trivial. % 0.94/1.15 apply (zenon_L612_); trivial. % 0.94/1.15 apply (zenon_L56_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_L617_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.15 apply (zenon_L417_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L449_); trivial. % 0.94/1.15 apply (zenon_L619_); trivial. % 0.94/1.15 apply (zenon_L510_); trivial. % 0.94/1.15 apply (zenon_L210_); trivial. % 0.94/1.15 (* end of lemma zenon_L620_ *) % 0.94/1.15 assert (zenon_L621_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H159 zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L565_); trivial. % 0.94/1.15 apply (zenon_L281_); trivial. % 0.94/1.15 (* end of lemma zenon_L621_ *) % 0.94/1.15 assert (zenon_L622_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H13f zenon_Hf zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L564_); trivial. % 0.94/1.15 apply (zenon_L281_); trivial. % 0.94/1.15 apply (zenon_L621_); trivial. % 0.94/1.15 apply (zenon_L59_); trivial. % 0.94/1.15 (* end of lemma zenon_L622_ *) % 0.94/1.15 assert (zenon_L623_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18b zenon_Hae zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152 zenon_Hb1 zenon_H98 zenon_H17c zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L447_); trivial. % 0.94/1.15 apply (zenon_L542_); trivial. % 0.94/1.15 apply (zenon_L311_); trivial. % 0.94/1.15 (* end of lemma zenon_L623_ *) % 0.94/1.15 assert (zenon_L624_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H1d8 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_H1d3 zenon_H151. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L449_); trivial. % 0.94/1.15 apply (zenon_L319_); trivial. % 0.94/1.15 (* end of lemma zenon_L624_ *) % 0.94/1.15 assert (zenon_L625_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H14c zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H268 zenon_H269 zenon_H26a zenon_H17c zenon_Hbf zenon_H98 zenon_Hb1 zenon_H184 zenon_H183 zenon_H182 zenon_H273. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.15 apply (zenon_L541_); trivial. % 0.94/1.15 apply (zenon_L148_); trivial. % 0.94/1.15 (* end of lemma zenon_L625_ *) % 0.94/1.15 assert (zenon_L626_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (c0_1 (a159)) -> (~(c3_1 (a159))) -> (~(c2_1 (a159))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H17c zenon_Hbf zenon_H98 zenon_Hb1 zenon_H184 zenon_H183 zenon_H182 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H7e zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.15 apply (zenon_L446_); trivial. % 0.94/1.15 apply (zenon_L625_); trivial. % 0.94/1.15 (* end of lemma zenon_L626_ *) % 0.94/1.15 assert (zenon_L627_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18b zenon_Hae zenon_H151 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H17c zenon_Hbf zenon_H98 zenon_Hb1 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L626_); trivial. % 0.94/1.15 apply (zenon_L542_); trivial. % 0.94/1.15 apply (zenon_L311_); trivial. % 0.94/1.15 (* end of lemma zenon_L627_ *) % 0.94/1.15 assert (zenon_L628_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_H18e zenon_Hae zenon_H151 zenon_H14d zenon_H273 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H10e zenon_H10f zenon_H110 zenon_Ha zenon_H25a zenon_H152 zenon_H17c zenon_H72 zenon_H159 zenon_Haa zenon_H1e2 zenon_Hed zenon_Hec zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_H1d3 zenon_H13e zenon_H13f zenon_H1c1 zenon_H1d8 zenon_Hd4. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.15 apply (zenon_L307_); trivial. % 0.94/1.15 apply (zenon_L623_); trivial. % 0.94/1.15 apply (zenon_L624_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.15 apply (zenon_L307_); trivial. % 0.94/1.15 apply (zenon_L627_); trivial. % 0.94/1.15 apply (zenon_L624_); trivial. % 0.94/1.15 (* end of lemma zenon_L628_ *) % 0.94/1.15 assert (zenon_L629_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H1d9 zenon_H239 zenon_H17e zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.15 apply (zenon_L136_); trivial. % 0.94/1.15 apply (zenon_L175_); trivial. % 0.94/1.15 (* end of lemma zenon_L629_ *) % 0.94/1.15 assert (zenon_L630_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(hskp17)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H18b zenon_Haa zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H152 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H12d zenon_H174 zenon_H16d zenon_H16c zenon_H273 zenon_Hb1 zenon_H98 zenon_Hbf zenon_H17c zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H1fd zenon_H151. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L626_); trivial. % 0.94/1.15 apply (zenon_L546_); trivial. % 0.94/1.15 (* end of lemma zenon_L630_ *) % 0.94/1.15 assert (zenon_L631_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1d8 zenon_H1c1 zenon_H1d3 zenon_H1fd zenon_H18e zenon_H17c zenon_H25a zenon_Ha zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H1e2 zenon_Hed zenon_Hec zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L88_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.15 apply (zenon_L629_); trivial. % 0.94/1.15 apply (zenon_L612_); trivial. % 0.94/1.15 apply (zenon_L56_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.15 apply (zenon_L629_); trivial. % 0.94/1.15 apply (zenon_L630_); trivial. % 0.94/1.15 apply (zenon_L585_); trivial. % 0.94/1.15 (* end of lemma zenon_L631_ *) % 0.94/1.15 assert (zenon_L632_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L474_); trivial. % 0.94/1.15 apply (zenon_L426_); trivial. % 0.94/1.15 apply (zenon_L56_); trivial. % 0.94/1.15 apply (zenon_L477_); trivial. % 0.94/1.15 (* end of lemma zenon_L632_ *) % 0.94/1.15 assert (zenon_L633_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L60_); trivial. % 0.94/1.15 apply (zenon_L632_); trivial. % 0.94/1.15 (* end of lemma zenon_L633_ *) % 0.94/1.15 assert (zenon_L634_ : (forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W)))))) -> (ndr1_0) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H260 zenon_Hf zenon_H292 zenon_H293 zenon_H294. % 0.94/1.15 generalize (zenon_H260 (a126)). zenon_intro zenon_H295. % 0.94/1.15 apply (zenon_imply_s _ _ zenon_H295); [ zenon_intro zenon_He | zenon_intro zenon_H296 ]. % 0.94/1.15 exact (zenon_He zenon_Hf). % 0.94/1.15 apply (zenon_or_s _ _ zenon_H296); [ zenon_intro zenon_H298 | zenon_intro zenon_H297 ]. % 0.94/1.15 exact (zenon_H292 zenon_H298). % 0.94/1.15 apply (zenon_or_s _ _ zenon_H297); [ zenon_intro zenon_H29a | zenon_intro zenon_H299 ]. % 0.94/1.15 exact (zenon_H293 zenon_H29a). % 0.94/1.15 exact (zenon_H299 zenon_H294). % 0.94/1.15 (* end of lemma zenon_L634_ *) % 0.94/1.15 assert (zenon_L635_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 0.94/1.15 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_H29b zenon_Hed zenon_Hec zenon_Heb zenon_H294 zenon_H293 zenon_H292 zenon_Hf zenon_H39 zenon_H3b zenon_Ha3. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H260 | zenon_intro zenon_H29c ]. % 0.94/1.15 apply (zenon_L634_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_Hea | zenon_intro zenon_Hce ]. % 0.94/1.15 apply (zenon_L66_); trivial. % 0.94/1.15 exact (zenon_Hcd zenon_Hce). % 0.94/1.15 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 0.94/1.15 exact (zenon_H39 zenon_H3a). % 0.94/1.15 exact (zenon_H3b zenon_H3c). % 0.94/1.15 apply (zenon_L59_); trivial. % 0.94/1.15 (* end of lemma zenon_L635_ *) % 0.94/1.15 assert (zenon_L636_ : ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp24)) -> (~(hskp5)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (ndr1_0) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H264 zenon_H7e zenon_H3b zenon_Hb1 zenon_H97 zenon_H98 zenon_H80 zenon_H4a zenon_H49 zenon_H48 zenon_Hf zenon_H292 zenon_H293 zenon_H294. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H8b | zenon_intro zenon_H265 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H74 | zenon_intro zenon_H81 ]. % 0.94/1.15 apply (zenon_L420_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3c | zenon_intro zenon_H7f ]. % 0.94/1.15 exact (zenon_H3b zenon_H3c). % 0.94/1.15 exact (zenon_H7e zenon_H7f). % 0.94/1.15 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H47 | zenon_intro zenon_H260 ]. % 0.94/1.15 apply (zenon_L24_); trivial. % 0.94/1.15 apply (zenon_L634_); trivial. % 0.94/1.15 (* end of lemma zenon_L636_ *) % 0.94/1.15 assert (zenon_L637_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> False). % 0.94/1.15 do 0 intro. intros zenon_Ha4 zenon_H264 zenon_H3b zenon_H39 zenon_H3e zenon_H4a zenon_H49 zenon_H48 zenon_H292 zenon_H293 zenon_H294. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H8b | zenon_intro zenon_H265 ]. % 0.94/1.15 apply (zenon_L41_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H47 | zenon_intro zenon_H260 ]. % 0.94/1.15 apply (zenon_L24_); trivial. % 0.94/1.15 apply (zenon_L634_); trivial. % 0.94/1.15 (* end of lemma zenon_L637_ *) % 0.94/1.15 assert (zenon_L638_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Had zenon_Haa zenon_H39 zenon_H3e zenon_H80 zenon_H3b zenon_H48 zenon_H49 zenon_H4a zenon_H292 zenon_H293 zenon_H294 zenon_H264. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.15 apply (zenon_L636_); trivial. % 0.94/1.15 apply (zenon_L637_); trivial. % 0.94/1.15 (* end of lemma zenon_L638_ *) % 0.94/1.15 assert (zenon_L639_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_Haa zenon_H3e zenon_H80 zenon_H264 zenon_Ha3 zenon_H3b zenon_H39 zenon_H292 zenon_H293 zenon_H294 zenon_Heb zenon_Hec zenon_Hed zenon_H29b zenon_He0 zenon_He3. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L635_); trivial. % 0.94/1.15 apply (zenon_L638_); trivial. % 0.94/1.15 (* end of lemma zenon_L639_ *) % 0.94/1.15 assert (zenon_L640_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(hskp9)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H58 zenon_Hb2 zenon_Haa zenon_H3e zenon_H80 zenon_H264 zenon_Ha3 zenon_H3b zenon_H39 zenon_H292 zenon_H293 zenon_H294 zenon_Heb zenon_Hec zenon_Hed zenon_H29b zenon_He0 zenon_He3 zenon_Hc zenon_Ha zenon_H6 zenon_H2c zenon_H45 zenon_H35. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.15 apply (zenon_L23_); trivial. % 0.94/1.15 apply (zenon_L639_); trivial. % 0.94/1.15 (* end of lemma zenon_L640_ *) % 0.94/1.15 assert (zenon_L641_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_Haa zenon_Ha5 zenon_H80 zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_H3e zenon_Ha3 zenon_H3b zenon_H39 zenon_Hf zenon_H292 zenon_H293 zenon_H294 zenon_Heb zenon_Hec zenon_Hed zenon_H29b zenon_He0 zenon_He3. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L635_); trivial. % 0.94/1.15 apply (zenon_L48_); trivial. % 0.94/1.15 (* end of lemma zenon_L641_ *) % 0.94/1.15 assert (zenon_L642_ : ((ndr1_0)/\((~(c0_1 (a133)))/\((~(c1_1 (a133)))/\(~(c2_1 (a133)))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((hskp11)\/(hskp8)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H28f zenon_H166 zenon_Hb2 zenon_Hae zenon_H80 zenon_H164 zenon_Ha5 zenon_Haa zenon_Ha3 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_He0 zenon_He3 zenon_H5 zenon_H39 zenon_H3b zenon_H3e zenon_H42. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.94/1.15 apply (zenon_L20_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L635_); trivial. % 0.94/1.15 apply (zenon_L95_); trivial. % 0.94/1.15 (* end of lemma zenon_L642_ *) % 0.94/1.15 assert (zenon_L643_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H3d zenon_H35 zenon_H31 zenon_H2a zenon_H2c zenon_H2e zenon_H6 zenon_Ha zenon_Hc. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.15 apply (zenon_L15_); trivial. % 0.94/1.15 (* end of lemma zenon_L643_ *) % 0.94/1.15 assert (zenon_L644_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H42 zenon_H35 zenon_H31 zenon_H2a zenon_H2c zenon_H2e zenon_H6 zenon_Ha zenon_Hc zenon_H3 zenon_H5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.15 apply (zenon_L3_); trivial. % 0.94/1.15 apply (zenon_L643_); trivial. % 0.94/1.15 (* end of lemma zenon_L644_ *) % 0.94/1.15 assert (zenon_L645_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(hskp16)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H1c0 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_Hcd. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H260 | zenon_intro zenon_H29c ]. % 0.94/1.15 apply (zenon_L634_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_Hea | zenon_intro zenon_Hce ]. % 0.94/1.15 apply (zenon_L121_); trivial. % 0.94/1.15 exact (zenon_Hcd zenon_Hce). % 0.94/1.15 (* end of lemma zenon_L645_ *) % 0.94/1.15 assert (zenon_L646_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(hskp15)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_He3 zenon_H1da zenon_H70 zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_H5b zenon_He0 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9. % 0.94/1.15 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.15 apply (zenon_L397_); trivial. % 0.94/1.15 apply (zenon_L645_); trivial. % 0.94/1.15 apply (zenon_L59_); trivial. % 0.94/1.15 (* end of lemma zenon_L646_ *) % 0.94/1.15 assert (zenon_L647_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H1fc zenon_H19e zenon_H19c zenon_H16d zenon_H174 zenon_H16c zenon_Hf zenon_H48 zenon_H49 zenon_H4a zenon_H31 zenon_H2c zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H98 zenon_H97 zenon_Hb1 zenon_H3 zenon_H18f zenon_H206 zenon_H208. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.15 apply (zenon_L219_); trivial. % 0.94/1.15 apply (zenon_L146_); trivial. % 0.94/1.15 (* end of lemma zenon_L647_ *) % 0.94/1.15 assert (zenon_L648_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_Had zenon_H1db zenon_H246 zenon_H59 zenon_H208 zenon_H206 zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H2c zenon_H31 zenon_H4a zenon_H49 zenon_H48 zenon_H16c zenon_H174 zenon_H16d zenon_H19e zenon_H1fc. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.15 apply (zenon_L647_); trivial. % 0.94/1.15 apply (zenon_L210_); trivial. % 0.94/1.15 (* end of lemma zenon_L648_ *) % 0.94/1.15 assert (zenon_L649_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H58 zenon_H208 zenon_H206 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H70 zenon_H1da zenon_He3 zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1fc zenon_H19e zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H31 zenon_H59 zenon_H246 zenon_H1db zenon_Hb2. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.15 apply (zenon_L368_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L646_); trivial. % 0.94/1.15 apply (zenon_L648_); trivial. % 0.94/1.15 (* end of lemma zenon_L649_ *) % 0.94/1.15 assert (zenon_L650_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_He7 zenon_H58 zenon_H208 zenon_H206 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He3 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1fc zenon_H19e zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H31 zenon_H59 zenon_H246 zenon_H1db zenon_Hb2. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.15 apply (zenon_L368_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L60_); trivial. % 0.94/1.15 apply (zenon_L648_); trivial. % 0.94/1.15 (* end of lemma zenon_L650_ *) % 0.94/1.15 assert (zenon_L651_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H211 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_Hb2 zenon_H1db zenon_H246 zenon_H59 zenon_H31 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H3 zenon_H18f zenon_H19e zenon_H1fc zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H2c zenon_H45 zenon_He3 zenon_H1da zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_H206 zenon_H208 zenon_H58. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.15 apply (zenon_L649_); trivial. % 0.94/1.15 apply (zenon_L650_); trivial. % 0.94/1.15 (* end of lemma zenon_L651_ *) % 0.94/1.15 assert (zenon_L652_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp1)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H1dc zenon_H31 zenon_H16d zenon_H174 zenon_H16c zenon_H17c zenon_H98 zenon_Hb1 zenon_Hbf zenon_H1d3 zenon_H2a zenon_H1c zenon_H1d zenon_H1e zenon_H2e zenon_H2c. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.94/1.15 apply (zenon_L104_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.94/1.15 apply (zenon_L119_); trivial. % 0.94/1.15 apply (zenon_L114_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.94/1.15 apply (zenon_L13_); trivial. % 0.94/1.15 exact (zenon_H2c zenon_H2d). % 0.94/1.15 (* end of lemma zenon_L652_ *) % 0.94/1.15 assert (zenon_L653_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H58 zenon_H208 zenon_H206 zenon_H31 zenon_H278 zenon_Ha zenon_H39 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He3 zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1db zenon_H35 zenon_H152 zenon_H2a zenon_H108 zenon_H1da zenon_H70 zenon_H180 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_H19e zenon_Hec zenon_Hed zenon_Heb zenon_H1a3 zenon_H2e zenon_H18e zenon_Hb2. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.15 apply (zenon_L130_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L646_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.15 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.15 apply (zenon_L118_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.15 apply (zenon_L430_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.94/1.15 apply (zenon_L24_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.94/1.15 apply (zenon_L128_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.94/1.15 apply (zenon_L160_); trivial. % 0.94/1.15 exact (zenon_H2c zenon_H2d). % 0.94/1.15 exact (zenon_H206 zenon_H207). % 0.94/1.15 (* end of lemma zenon_L653_ *) % 0.94/1.15 assert (zenon_L654_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H211 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hb2 zenon_H1db zenon_H246 zenon_H59 zenon_H31 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H3 zenon_H18f zenon_H19e zenon_H1fc zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H2c zenon_H45 zenon_He3 zenon_H1da zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_H206 zenon_H208 zenon_H58. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.15 apply (zenon_L649_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.15 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.15 apply (zenon_L368_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.15 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.15 apply (zenon_L88_); trivial. % 0.94/1.15 apply (zenon_L648_); trivial. % 0.94/1.15 (* end of lemma zenon_L654_ *) % 0.94/1.15 assert (zenon_L655_ : ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((hskp11)\/(hskp8)) -> (~(hskp8)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 0.94/1.15 do 0 intro. intros zenon_H254 zenon_H167 zenon_H25a zenon_H58 zenon_H208 zenon_H206 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H1da zenon_He3 zenon_H45 zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1fc zenon_H19e zenon_H18f zenon_H1e6 zenon_H246 zenon_H1db zenon_Hb2 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H211 zenon_H5 zenon_H3 zenon_Hc zenon_Ha zenon_H2e zenon_H2c zenon_H2a zenon_H31 zenon_H35 zenon_H42. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.94/1.15 apply (zenon_L644_); trivial. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.15 apply (zenon_L654_); trivial. % 0.94/1.15 apply (zenon_L268_); trivial. % 0.94/1.15 (* end of lemma zenon_L655_ *) % 0.94/1.15 assert (zenon_L656_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> False). % 0.94/1.15 do 0 intro. intros zenon_H53 zenon_H264 zenon_H15d zenon_H15c zenon_H15b zenon_H292 zenon_H293 zenon_H294. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.15 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H8b | zenon_intro zenon_H265 ]. % 0.94/1.15 apply (zenon_L90_); trivial. % 0.94/1.15 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H47 | zenon_intro zenon_H260 ]. % 0.94/1.15 apply (zenon_L24_); trivial. % 0.94/1.15 apply (zenon_L634_); trivial. % 0.94/1.15 (* end of lemma zenon_L656_ *) % 0.94/1.15 assert (zenon_L657_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.94/1.16 do 0 intro. intros zenon_H42 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H31 zenon_H17c zenon_H2e zenon_H2a zenon_H18f zenon_H35 zenon_H180 zenon_H18e zenon_Hd4 zenon_Hb2 zenon_H3 zenon_H5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.16 apply (zenon_L3_); trivial. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L111_); trivial. % 0.94/1.16 apply (zenon_L656_); trivial. % 0.94/1.16 (* end of lemma zenon_L657_ *) % 0.94/1.16 assert (zenon_L658_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(c1_1 (a135))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1db zenon_H35 zenon_H152 zenon_H2a zenon_H108 zenon_H1da zenon_H70 zenon_H180 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_H19e zenon_Hec zenon_Hed zenon_Heb zenon_H1a3 zenon_H2e zenon_H18e zenon_Hb2. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L130_); trivial. % 0.94/1.16 apply (zenon_L656_); trivial. % 0.94/1.16 (* end of lemma zenon_L658_ *) % 0.94/1.16 assert (zenon_L659_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp14)) -> (~(hskp3)) -> False). % 0.94/1.16 do 0 intro. intros zenon_Had zenon_H45 zenon_Hfc zenon_Hfa zenon_H103 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H43 zenon_H2c. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H45); [ zenon_intro zenon_H10 | zenon_intro zenon_H46 ]. % 0.94/1.16 apply (zenon_L362_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H46); [ zenon_intro zenon_H44 | zenon_intro zenon_H2d ]. % 0.94/1.16 exact (zenon_H43 zenon_H44). % 0.94/1.16 exact (zenon_H2c zenon_H2d). % 0.94/1.16 (* end of lemma zenon_L659_ *) % 0.94/1.16 assert (zenon_L660_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Hb2 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H43 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.16 apply (zenon_L189_); trivial. % 0.94/1.16 apply (zenon_L659_); trivial. % 0.94/1.16 (* end of lemma zenon_L660_ *) % 0.94/1.16 assert (zenon_L661_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (ndr1_0) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp28)) -> (~(hskp13)) -> False). % 0.94/1.16 do 0 intro. intros zenon_H1da zenon_Hfc zenon_Hfa zenon_H103 zenon_Hf zenon_H82 zenon_H8c zenon_H83 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H1b3 zenon_H70. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H10 | zenon_intro zenon_H1df ]. % 0.94/1.16 apply (zenon_L184_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H71 ]. % 0.94/1.16 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.16 exact (zenon_H70 zenon_H71). % 0.94/1.16 (* end of lemma zenon_L661_ *) % 0.94/1.16 assert (zenon_L662_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Ha4 zenon_H1d9 zenon_H29b zenon_Hcd zenon_H294 zenon_H293 zenon_H292 zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1da. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.16 apply (zenon_L661_); trivial. % 0.94/1.16 apply (zenon_L645_); trivial. % 0.94/1.16 (* end of lemma zenon_L662_ *) % 0.94/1.16 assert (zenon_L663_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H1d9 zenon_H29b zenon_Hcd zenon_H294 zenon_H293 zenon_H292 zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1da zenon_H3b zenon_H80. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.16 apply (zenon_L38_); trivial. % 0.94/1.16 apply (zenon_L662_); trivial. % 0.94/1.16 (* end of lemma zenon_L663_ *) % 0.94/1.16 assert (zenon_L664_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Hcf zenon_Hae zenon_Haa zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H1da zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hcd zenon_Hd0. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.16 apply (zenon_L187_); trivial. % 0.94/1.16 apply (zenon_L663_); trivial. % 0.94/1.16 (* end of lemma zenon_L664_ *) % 0.94/1.16 assert (zenon_L665_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H1da zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H292 zenon_H293 zenon_H294 zenon_Hcd zenon_H29b zenon_H1d9 zenon_Haa zenon_Hae. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.16 apply (zenon_L183_); trivial. % 0.94/1.16 apply (zenon_L663_); trivial. % 0.94/1.16 apply (zenon_L664_); trivial. % 0.94/1.16 (* end of lemma zenon_L665_ *) % 0.94/1.16 assert (zenon_L666_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_He3 zenon_He0 zenon_H5b zenon_Hae zenon_Haa zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H1da zenon_H3b zenon_H80 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4. % 0.94/1.16 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.16 apply (zenon_L665_); trivial. % 0.94/1.16 apply (zenon_L59_); trivial. % 0.94/1.16 (* end of lemma zenon_L666_ *) % 0.94/1.16 assert (zenon_L667_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H1d5 zenon_H13e zenon_H23b zenon_Hbd zenon_H83 zenon_H8c zenon_H82 zenon_H48 zenon_H49 zenon_H4a zenon_H1e0 zenon_H2c zenon_H206 zenon_H208. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.16 apply (zenon_L157_); trivial. % 0.94/1.16 apply (zenon_L197_); trivial. % 0.94/1.16 (* end of lemma zenon_L667_ *) % 0.94/1.16 assert (zenon_L668_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H13e zenon_H23b zenon_Hbd zenon_H48 zenon_H49 zenon_H4a zenon_H1e0 zenon_H2c zenon_H206 zenon_H208 zenon_H1d9 zenon_H1c1 zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1da zenon_H152. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.16 apply (zenon_L661_); trivial. % 0.94/1.16 apply (zenon_L123_); trivial. % 0.94/1.16 apply (zenon_L280_); trivial. % 0.94/1.16 apply (zenon_L667_); trivial. % 0.94/1.16 (* end of lemma zenon_L668_ *) % 0.94/1.16 assert (zenon_L669_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H10a zenon_H211 zenon_H12d zenon_H1fd zenon_H31 zenon_H151 zenon_Hb2 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_H220 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H1da zenon_H264 zenon_H152 zenon_H1c1 zenon_H208 zenon_H206 zenon_H1e0 zenon_H23b zenon_H13e zenon_H1d8 zenon_H58. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L660_); trivial. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.16 apply (zenon_L666_); trivial. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.16 apply (zenon_L636_); trivial. % 0.94/1.16 apply (zenon_L668_); trivial. % 0.94/1.16 apply (zenon_L198_); trivial. % 0.94/1.16 (* end of lemma zenon_L669_ *) % 0.94/1.16 assert (zenon_L670_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp1)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp0)) -> False). % 0.94/1.16 do 0 intro. intros zenon_H13d zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H2a zenon_Heb zenon_Hec zenon_Hed zenon_H108 zenon_H206. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.94/1.16 apply (zenon_L24_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.94/1.16 apply (zenon_L393_); trivial. % 0.94/1.16 exact (zenon_H206 zenon_H207). % 0.94/1.16 (* end of lemma zenon_L670_ *) % 0.94/1.16 assert (zenon_L671_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H152 zenon_H2a zenon_H108 zenon_Hf zenon_H48 zenon_H49 zenon_H4a zenon_H1c1 zenon_H1be zenon_Hed zenon_Hec zenon_Heb zenon_H206 zenon_H208. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.16 apply (zenon_L290_); trivial. % 0.94/1.16 apply (zenon_L670_); trivial. % 0.94/1.16 (* end of lemma zenon_L671_ *) % 0.94/1.16 assert (zenon_L672_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H1d5 zenon_H13e zenon_H12d zenon_H7e zenon_H12b zenon_H48 zenon_H49 zenon_H4a zenon_H1e0 zenon_H2c zenon_H206 zenon_H208. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.16 apply (zenon_L157_); trivial. % 0.94/1.16 apply (zenon_L80_); trivial. % 0.94/1.16 (* end of lemma zenon_L672_ *) % 0.94/1.16 assert (zenon_L673_ : ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (ndr1_0) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H1d8 zenon_H13e zenon_H12d zenon_H7e zenon_H12b zenon_H1e0 zenon_H2c zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H4a zenon_H49 zenon_H48 zenon_Hf zenon_H108 zenon_H2a zenon_H152. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.16 apply (zenon_L671_); trivial. % 0.94/1.16 apply (zenon_L672_); trivial. % 0.94/1.16 (* end of lemma zenon_L673_ *) % 0.94/1.16 assert (zenon_L674_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H152 zenon_H159 zenon_H83 zenon_H8c zenon_H82 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_Hf zenon_H48 zenon_H49 zenon_H4a zenon_H1c1 zenon_H1be zenon_Hed zenon_Hec zenon_Heb zenon_H206 zenon_H208. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.16 apply (zenon_L290_); trivial. % 0.94/1.16 apply (zenon_L280_); trivial. % 0.94/1.16 (* end of lemma zenon_L674_ *) % 0.94/1.16 assert (zenon_L675_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H23b zenon_Hbd zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H1d8 zenon_H13e zenon_H12d zenon_H1e0 zenon_H2c zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H4a zenon_H49 zenon_H48 zenon_H108 zenon_H2a zenon_H152 zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H31 zenon_H151. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.16 apply (zenon_L673_); trivial. % 0.94/1.16 apply (zenon_L195_); trivial. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.16 apply (zenon_L674_); trivial. % 0.94/1.16 apply (zenon_L667_); trivial. % 0.94/1.16 (* end of lemma zenon_L675_ *) % 0.94/1.16 assert (zenon_L676_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H10a zenon_H211 zenon_H14d zenon_Hb2 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_H220 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H1da zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_H151 zenon_H31 zenon_H1fd zenon_H152 zenon_H2a zenon_H108 zenon_H1c1 zenon_Hed zenon_Hec zenon_Heb zenon_H206 zenon_H208 zenon_H1e0 zenon_H12d zenon_H13e zenon_H1d8 zenon_H23b zenon_H58. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L193_); trivial. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.16 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.16 apply (zenon_L665_); trivial. % 0.94/1.16 apply (zenon_L675_); trivial. % 0.94/1.16 apply (zenon_L294_); trivial. % 0.94/1.16 (* end of lemma zenon_L676_ *) % 0.94/1.16 assert (zenon_L677_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H24d zenon_H167 zenon_H14d zenon_H72 zenon_Hae zenon_H1da zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H151 zenon_H31 zenon_H1fd zenon_H152 zenon_H108 zenon_H1c1 zenon_H1e0 zenon_H12d zenon_H1d8 zenon_H23b zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_H5d zenon_H3b zenon_Haa zenon_H1d9 zenon_H239 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3 zenon_H211. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.16 apply (zenon_L244_); trivial. % 0.94/1.16 apply (zenon_L676_); trivial. % 0.94/1.16 (* end of lemma zenon_L677_ *) % 0.94/1.16 assert (zenon_L678_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp19)) -> (~(hskp13)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp16)) -> False). % 0.94/1.16 do 0 intro. intros zenon_H13d zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H22a zenon_H22b zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H6e zenon_H70 zenon_H240 zenon_Hcd. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H260 | zenon_intro zenon_H29c ]. % 0.94/1.16 apply (zenon_L634_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_Hea | zenon_intro zenon_Hce ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.94/1.16 apply (zenon_L34_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.94/1.16 apply (zenon_L171_); trivial. % 0.94/1.16 apply (zenon_L86_); trivial. % 0.94/1.16 exact (zenon_Hcd zenon_Hce). % 0.94/1.16 (* end of lemma zenon_L678_ *) % 0.94/1.16 assert (zenon_L679_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (~(hskp16)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (~(hskp19)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H152 zenon_H29b zenon_Hcd zenon_H72 zenon_H70 zenon_H6e zenon_H62 zenon_H61 zenon_H60 zenon_H22a zenon_H22b zenon_H240 zenon_H294 zenon_H293 zenon_H292 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.16 apply (zenon_L74_); trivial. % 0.94/1.16 apply (zenon_L678_); trivial. % 0.94/1.16 (* end of lemma zenon_L679_ *) % 0.94/1.16 assert (zenon_L680_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_He3 zenon_He0 zenon_H152 zenon_H29b zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_H22a zenon_H22b zenon_H240 zenon_H294 zenon_H293 zenon_H292 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_H80 zenon_H3b zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa zenon_Hae. % 0.94/1.16 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.16 apply (zenon_L679_); trivial. % 0.94/1.16 apply (zenon_L282_); trivial. % 0.94/1.16 apply (zenon_L59_); trivial. % 0.94/1.16 (* end of lemma zenon_L680_ *) % 0.94/1.16 assert (zenon_L681_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp22)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c2_1 (a149))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp8)) -> False). % 0.94/1.16 do 0 intro. intros zenon_H18f zenon_H1e4 zenon_H60 zenon_H61 zenon_H62 zenon_Hb1 zenon_H95 zenon_H97 zenon_H98 zenon_H1e6 zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_H3. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H18f); [ zenon_intro zenon_H1b | zenon_intro zenon_H190 ]. % 0.94/1.16 apply (zenon_L217_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H190); [ zenon_intro zenon_H74 | zenon_intro zenon_H4 ]. % 0.94/1.16 apply (zenon_L171_); trivial. % 0.94/1.16 exact (zenon_H3 zenon_H4). % 0.94/1.16 (* end of lemma zenon_L681_ *) % 0.94/1.16 assert (zenon_L682_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp18)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp22)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H1d9 zenon_H239 zenon_H17e zenon_H59 zenon_H236 zenon_Hf zenon_H48 zenon_H49 zenon_H4a zenon_H1e2 zenon_H1e6 zenon_H1e4 zenon_H62 zenon_H61 zenon_H60 zenon_H98 zenon_H97 zenon_Hb1 zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H206 zenon_H208. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.94/1.16 apply (zenon_L24_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.16 apply (zenon_L168_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.16 apply (zenon_L681_); trivial. % 0.94/1.16 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.16 exact (zenon_H206 zenon_H207). % 0.94/1.16 apply (zenon_L175_); trivial. % 0.94/1.16 (* end of lemma zenon_L682_ *) % 0.94/1.16 assert (zenon_L683_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp1)) -> (~(hskp3)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Had zenon_H18e zenon_H1fc zenon_H13e zenon_H31 zenon_H2a zenon_H2c zenon_H2e zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H19e zenon_H13f zenon_H208 zenon_H206 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H1e2 zenon_H4a zenon_H49 zenon_H48 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_H246 zenon_H1db. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.16 apply (zenon_L682_); trivial. % 0.94/1.16 apply (zenon_L221_); trivial. % 0.94/1.16 apply (zenon_L210_); trivial. % 0.94/1.16 apply (zenon_L109_); trivial. % 0.94/1.16 (* end of lemma zenon_L683_ *) % 0.94/1.16 assert (zenon_L684_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H43 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.16 apply (zenon_L283_); trivial. % 0.94/1.16 apply (zenon_L233_); trivial. % 0.94/1.16 (* end of lemma zenon_L684_ *) % 0.94/1.16 assert (zenon_L685_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(hskp0)) -> False). % 0.94/1.16 do 0 intro. intros zenon_Ha4 zenon_H264 zenon_H164 zenon_H6e zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H98 zenon_Hb1 zenon_H97 zenon_H206. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H264); [ zenon_intro zenon_H8b | zenon_intro zenon_H265 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.94/1.16 apply (zenon_L24_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.94/1.16 apply (zenon_L402_); trivial. % 0.94/1.16 exact (zenon_H206 zenon_H207). % 0.94/1.16 apply (zenon_or_s _ _ zenon_H265); [ zenon_intro zenon_H47 | zenon_intro zenon_H260 ]. % 0.94/1.16 apply (zenon_L24_); trivial. % 0.94/1.16 apply (zenon_L300_); trivial. % 0.94/1.16 (* end of lemma zenon_L685_ *) % 0.94/1.16 assert (zenon_L686_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H18b zenon_Hae zenon_H17c zenon_Hbf zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H4a zenon_H49 zenon_H48 zenon_Hb1 zenon_H97 zenon_H98 zenon_H3b zenon_H80 zenon_H208 zenon_H206 zenon_H164 zenon_Haa. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.16 apply (zenon_L636_); trivial. % 0.94/1.16 apply (zenon_L685_); trivial. % 0.94/1.16 apply (zenon_L311_); trivial. % 0.94/1.16 (* end of lemma zenon_L686_ *) % 0.94/1.16 assert (zenon_L687_ : ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (ndr1_0) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H18e zenon_Hae zenon_H17c zenon_Hbf zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_Hb1 zenon_H97 zenon_H98 zenon_H3b zenon_H80 zenon_H164 zenon_Haa zenon_Hf zenon_H48 zenon_H49 zenon_H4a zenon_H239 zenon_Hed zenon_Hec zenon_Heb zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H206 zenon_H208. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.16 apply (zenon_L235_); trivial. % 0.94/1.16 apply (zenon_L686_); trivial. % 0.94/1.16 (* end of lemma zenon_L687_ *) % 0.94/1.16 assert (zenon_L688_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c1_1 (a196))) -> (~(c0_1 (a196))) -> (c2_1 (a196)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp0)) -> False). % 0.94/1.16 do 0 intro. intros zenon_H13a zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1c5 zenon_H1c6 zenon_H1c7 zenon_H1d3 zenon_H82 zenon_H8c zenon_H83 zenon_H159 zenon_H206. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 0.94/1.16 apply (zenon_L24_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 0.94/1.16 apply (zenon_L155_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 0.94/1.16 apply (zenon_L85_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d3); [ zenon_intro zenon_H1b | zenon_intro zenon_H1d4 ]. % 0.94/1.16 apply (zenon_L160_); trivial. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d4); [ zenon_intro zenon_Hc3 | zenon_intro zenon_H198 ]. % 0.94/1.16 apply (zenon_L54_); trivial. % 0.94/1.16 apply (zenon_L158_); trivial. % 0.94/1.16 exact (zenon_H206 zenon_H207). % 0.94/1.16 (* end of lemma zenon_L688_ *) % 0.94/1.16 assert (zenon_L689_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H1d5 zenon_H13e zenon_H208 zenon_H206 zenon_H82 zenon_H8c zenon_H83 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H159 zenon_H4a zenon_H49 zenon_H48 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 0.94/1.16 apply (zenon_L223_); trivial. % 0.94/1.16 apply (zenon_L688_); trivial. % 0.94/1.16 (* end of lemma zenon_L689_ *) % 0.94/1.16 assert (zenon_L690_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H13e zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H4a zenon_H49 zenon_H48 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H159 zenon_H152. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.16 apply (zenon_L291_); trivial. % 0.94/1.16 apply (zenon_L689_); trivial. % 0.94/1.16 (* end of lemma zenon_L690_ *) % 0.94/1.16 assert (zenon_L691_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H1d8 zenon_H13e zenon_H1d3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H159 zenon_H152 zenon_H80 zenon_H3b zenon_H98 zenon_H97 zenon_Hb1 zenon_H48 zenon_H49 zenon_H4a zenon_H292 zenon_H293 zenon_H294 zenon_H264. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.16 apply (zenon_L636_); trivial. % 0.94/1.16 apply (zenon_L690_); trivial. % 0.94/1.16 (* end of lemma zenon_L691_ *) % 0.94/1.16 assert (zenon_L692_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H208 zenon_H206 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_Heb zenon_Hec zenon_Hed zenon_H239 zenon_H164 zenon_H80 zenon_H3b zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H17c zenon_Hae zenon_H18e zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.16 apply (zenon_L88_); trivial. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.16 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.16 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.16 apply (zenon_L687_); trivial. % 0.94/1.16 apply (zenon_L691_); trivial. % 0.94/1.16 (* end of lemma zenon_L692_ *) % 0.94/1.16 assert (zenon_L693_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_He7 zenon_H58 zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H208 zenon_H206 zenon_Heb zenon_H164 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H17c zenon_Hae zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H12d zenon_H152 zenon_He0 zenon_He3 zenon_H5d zenon_H3b zenon_H59 zenon_Haa zenon_H13e zenon_H159 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H239 zenon_H236 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H80 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L273_); trivial. % 0.94/1.16 apply (zenon_L692_); trivial. % 0.94/1.16 (* end of lemma zenon_L693_ *) % 0.94/1.16 assert (zenon_L694_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H211 zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H164 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H17c zenon_H5d zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_H45 zenon_H2c zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3 zenon_H208 zenon_H206 zenon_Heb zenon_H58. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L684_); trivial. % 0.94/1.16 apply (zenon_L236_); trivial. % 0.94/1.16 apply (zenon_L693_); trivial. % 0.94/1.16 (* end of lemma zenon_L694_ *) % 0.94/1.16 assert (zenon_L695_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H24d zenon_H167 zenon_H25a zenon_Ha zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_He3 zenon_He0 zenon_Hae zenon_H220 zenon_H3b zenon_H80 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2 zenon_H5d zenon_H17c zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H164 zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_H211. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.16 apply (zenon_L694_); trivial. % 0.94/1.16 apply (zenon_L268_); trivial. % 0.94/1.16 (* end of lemma zenon_L695_ *) % 0.94/1.16 assert (zenon_L696_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_He7 zenon_H58 zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H208 zenon_H206 zenon_Heb zenon_H164 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H17c zenon_Hae zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H80 zenon_H3b zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L298_); trivial. % 0.94/1.16 apply (zenon_L692_); trivial. % 0.94/1.16 (* end of lemma zenon_L696_ *) % 0.94/1.16 assert (zenon_L697_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H5d zenon_H3b zenon_H59 zenon_H18e zenon_H2e zenon_H2a zenon_H31 zenon_H2c zenon_H45 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H18f zenon_H3 zenon_H22b zenon_H22a zenon_H1c zenon_H1d zenon_H1e zenon_H17c zenon_H1e2 zenon_H236 zenon_H239 zenon_H1d9 zenon_H35 zenon_H180 zenon_Hd4 zenon_Hb2. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L177_); trivial. % 0.94/1.16 apply (zenon_L656_); trivial. % 0.94/1.16 (* end of lemma zenon_L697_ *) % 0.94/1.16 assert (zenon_L698_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H2c zenon_H12d zenon_H13e zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H45 zenon_Haa zenon_H31 zenon_H1fd zenon_He3. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.16 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L288_); trivial. % 0.94/1.16 apply (zenon_L656_); trivial. % 0.94/1.16 (* end of lemma zenon_L698_ *) % 0.94/1.16 assert (zenon_L699_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H10a zenon_H211 zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H31 zenon_H1fd zenon_Hb2 zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_H220 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.16 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L660_); trivial. % 0.94/1.16 apply (zenon_L656_); trivial. % 0.94/1.16 apply (zenon_L698_); trivial. % 0.94/1.16 (* end of lemma zenon_L699_ *) % 0.94/1.16 assert (zenon_L700_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.16 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H5d zenon_H3b zenon_H59 zenon_H1db zenon_H246 zenon_H31 zenon_H2c zenon_H45 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H3 zenon_H18f zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H17c zenon_H13e zenon_H1fc zenon_H35 zenon_H180 zenon_H2a zenon_H2e zenon_H18e zenon_Hd4 zenon_Hb2. % 0.94/1.16 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.16 apply (zenon_L211_); trivial. % 0.94/1.16 apply (zenon_L656_); trivial. % 0.94/1.16 (* end of lemma zenon_L700_ *) % 0.94/1.16 assert (zenon_L701_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_H1db zenon_H246 zenon_H31 zenon_H2c zenon_H45 zenon_H1e6 zenon_H62 zenon_H61 zenon_H60 zenon_H3 zenon_H18f zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H19e zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H17c zenon_H13e zenon_H1fc zenon_H35 zenon_H2a zenon_H2e zenon_H180 zenon_H18e zenon_Hb2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L225_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L701_ *) % 0.94/1.17 assert (zenon_L702_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H10a zenon_H211 zenon_H1d8 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H152 zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H31 zenon_H1fd zenon_Hb2 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_H220 zenon_H2c zenon_H45 zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L193_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 apply (zenon_L294_); trivial. % 0.94/1.17 (* end of lemma zenon_L702_ *) % 0.94/1.17 assert (zenon_L703_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H5d zenon_H3b zenon_H59 zenon_Hae zenon_H239 zenon_H45 zenon_H2c zenon_H80 zenon_H13e zenon_H159 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H13f zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H164 zenon_H1d9 zenon_Haa zenon_H2a zenon_H2e zenon_H18e zenon_Hb2. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L254_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L703_ *) % 0.94/1.17 assert (zenon_L704_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(hskp12)) -> (~(hskp5)) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H211 zenon_Heb zenon_H206 zenon_H208 zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H18e zenon_H2e zenon_H2a zenon_Haa zenon_H1d9 zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H13f zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H159 zenon_H13e zenon_H80 zenon_H2c zenon_H45 zenon_H239 zenon_Hae zenon_H59 zenon_H3b zenon_H5d zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_L703_); trivial. % 0.94/1.17 apply (zenon_L243_); trivial. % 0.94/1.17 (* end of lemma zenon_L704_ *) % 0.94/1.17 assert (zenon_L705_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (c1_1 (a137)) -> (c2_1 (a137)) -> (c3_1 (a137)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_H11d zenon_H11e zenon_H11f. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 0.94/1.17 apply (zenon_L16_); trivial. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 0.94/1.17 apply (zenon_L171_); trivial. % 0.94/1.17 apply (zenon_L86_); trivial. % 0.94/1.17 (* end of lemma zenon_L705_ *) % 0.94/1.17 assert (zenon_L706_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp16)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H13d zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H22a zenon_H22b zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_Hcd. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H260 | zenon_intro zenon_H29c ]. % 0.94/1.17 apply (zenon_L634_); trivial. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_Hea | zenon_intro zenon_Hce ]. % 0.94/1.17 apply (zenon_L705_); trivial. % 0.94/1.17 exact (zenon_Hcd zenon_Hce). % 0.94/1.17 (* end of lemma zenon_L706_ *) % 0.94/1.17 assert (zenon_L707_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_He3 zenon_He0 zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H292 zenon_H293 zenon_H294 zenon_H240 zenon_H22b zenon_H22a zenon_H1e zenon_H1d zenon_H1c zenon_H29b zenon_H152. % 0.94/1.17 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.17 apply (zenon_L74_); trivial. % 0.94/1.17 apply (zenon_L706_); trivial. % 0.94/1.17 apply (zenon_L59_); trivial. % 0.94/1.17 (* end of lemma zenon_L707_ *) % 0.94/1.17 assert (zenon_L708_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H10a zenon_H58 zenon_H264 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H292 zenon_H293 zenon_H294 zenon_H240 zenon_H22b zenon_H22a zenon_H1e zenon_H1d zenon_H1c zenon_H29b zenon_H152 zenon_H2c zenon_H45 zenon_Hb2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.17 apply (zenon_L707_); trivial. % 0.94/1.17 apply (zenon_L659_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L708_ *) % 0.94/1.17 assert (zenon_L709_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H24d zenon_H42 zenon_H167 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H5d zenon_H3b zenon_H18e zenon_H2e zenon_H2a zenon_H31 zenon_H2c zenon_H45 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H18f zenon_H17c zenon_H1e2 zenon_H236 zenon_H239 zenon_H1d9 zenon_H35 zenon_H180 zenon_Hd4 zenon_Hb2 zenon_H152 zenon_H29b zenon_H240 zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_He0 zenon_He3 zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_H13f zenon_H14d zenon_H151 zenon_Hd0 zenon_H208 zenon_H206 zenon_H211 zenon_H3 zenon_H5. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.17 apply (zenon_L3_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_L697_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.17 apply (zenon_L707_); trivial. % 0.94/1.17 apply (zenon_L180_); trivial. % 0.94/1.17 apply (zenon_L302_); trivial. % 0.94/1.17 apply (zenon_L708_); trivial. % 0.94/1.17 (* end of lemma zenon_L709_ *) % 0.94/1.17 assert (zenon_L710_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_Hae zenon_H220 zenon_H3b zenon_H80 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4 zenon_H45 zenon_H2c zenon_Hfc zenon_Hfa zenon_H103 zenon_Hb2. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L284_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L710_ *) % 0.94/1.17 assert (zenon_L711_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H10a zenon_H211 zenon_H1d8 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H1e0 zenon_H31 zenon_H1fd zenon_Hb2 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3 zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_L710_); trivial. % 0.94/1.17 apply (zenon_L294_); trivial. % 0.94/1.17 (* end of lemma zenon_L711_ *) % 0.94/1.17 assert (zenon_L712_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H24d zenon_H167 zenon_H1e0 zenon_H31 zenon_H1fd zenon_H15b zenon_H15c zenon_H15d zenon_H58 zenon_Heb zenon_H206 zenon_H208 zenon_He3 zenon_He0 zenon_Hae zenon_H220 zenon_H3b zenon_H80 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H236 zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H2c zenon_H45 zenon_H2a zenon_H2e zenon_H18e zenon_Hb2 zenon_H5d zenon_H17c zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H164 zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_H211. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.17 apply (zenon_L694_); trivial. % 0.94/1.17 apply (zenon_L711_); trivial. % 0.94/1.17 (* end of lemma zenon_L712_ *) % 0.94/1.17 assert (zenon_L713_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_Hb2 zenon_H45 zenon_H2c zenon_H43 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.17 apply (zenon_L646_); trivial. % 0.94/1.17 apply (zenon_L659_); trivial. % 0.94/1.17 (* end of lemma zenon_L713_ *) % 0.94/1.17 assert (zenon_L714_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp24)) -> (~(hskp25)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp1)) -> (ndr1_0) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H31 zenon_H7e zenon_H12b zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H2a zenon_Hf zenon_H1c zenon_H1d zenon_H1e zenon_H2e zenon_H2c. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 0.94/1.17 apply (zenon_L308_); trivial. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 0.94/1.17 apply (zenon_L13_); trivial. % 0.94/1.17 exact (zenon_H2c zenon_H2d). % 0.94/1.17 (* end of lemma zenon_L714_ *) % 0.94/1.17 assert (zenon_L715_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H10a zenon_H211 zenon_Hc1 zenon_Hd0 zenon_Hb2 zenon_H45 zenon_H2c zenon_H1c zenon_H1d zenon_H1e zenon_H240 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H1da zenon_He3 zenon_Hd4 zenon_H18e zenon_H180 zenon_H35 zenon_H151 zenon_H14d zenon_H12d zenon_H2e zenon_H2a zenon_H31 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_Haa zenon_H1fd zenon_H152 zenon_H1c1 zenon_H208 zenon_H206 zenon_H1e0 zenon_Hbd zenon_H23b zenon_H13e zenon_H1d8 zenon_H58. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L713_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.17 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.17 apply (zenon_L714_); trivial. % 0.94/1.17 apply (zenon_L83_); trivial. % 0.94/1.17 apply (zenon_L662_); trivial. % 0.94/1.17 apply (zenon_L110_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.17 apply (zenon_L714_); trivial. % 0.94/1.17 apply (zenon_L195_); trivial. % 0.94/1.17 apply (zenon_L668_); trivial. % 0.94/1.17 apply (zenon_L198_); trivial. % 0.94/1.17 (* end of lemma zenon_L715_ *) % 0.94/1.17 assert (zenon_L716_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(hskp17)) -> (ndr1_0) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(c2_1 (a159))) -> (~(c3_1 (a159))) -> (c0_1 (a159)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp28)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H1e2 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_Hbf zenon_Hf zenon_H22a zenon_H22b zenon_H182 zenon_H183 zenon_H184 zenon_H17c zenon_H1b3. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 0.94/1.17 apply (zenon_L50_); trivial. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 0.94/1.17 apply (zenon_L343_); trivial. % 0.94/1.17 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.17 (* end of lemma zenon_L716_ *) % 0.94/1.17 assert (zenon_L717_ : ((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (~(hskp16)) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(hskp17)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H18b zenon_H1d9 zenon_H29b zenon_Hcd zenon_H294 zenon_H293 zenon_H292 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H17c zenon_Hbf zenon_H22b zenon_H22a zenon_H1e2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H18b). zenon_intro zenon_Hf. zenon_intro zenon_H18c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H18c). zenon_intro zenon_H184. zenon_intro zenon_H18d. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H18d). zenon_intro zenon_H182. zenon_intro zenon_H183. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.17 apply (zenon_L716_); trivial. % 0.94/1.17 apply (zenon_L645_); trivial. % 0.94/1.17 (* end of lemma zenon_L717_ *) % 0.94/1.17 assert (zenon_L718_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> (~(hskp16)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_Hd4 zenon_Hd0 zenon_H1d9 zenon_H239 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H22a zenon_H22b zenon_H17c zenon_H292 zenon_H293 zenon_H294 zenon_Hcd zenon_H29b zenon_H18e. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.17 apply (zenon_L629_); trivial. % 0.94/1.17 apply (zenon_L717_); trivial. % 0.94/1.17 apply (zenon_L56_); trivial. % 0.94/1.17 (* end of lemma zenon_L718_ *) % 0.94/1.17 assert (zenon_L719_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(c1_1 (a138))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 0.94/1.17 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1db zenon_Haa zenon_H13f zenon_H159 zenon_H13e zenon_H12d zenon_H1e0 zenon_H152 zenon_H1fd zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_H151 zenon_H1e6 zenon_H19e zenon_H248 zenon_H1fc zenon_H18e zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_H17c zenon_H22b zenon_H22a zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H239 zenon_H1d9 zenon_Hd0 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.17 apply (zenon_L101_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.17 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.17 apply (zenon_L718_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.17 apply (zenon_L377_); trivial. % 0.94/1.17 apply (zenon_L329_); trivial. % 0.94/1.17 (* end of lemma zenon_L719_ *) % 0.94/1.17 assert (zenon_L720_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H211 zenon_Hd0 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1e0 zenon_Hb2 zenon_He3 zenon_H1fd zenon_H18e zenon_Hae zenon_H17c zenon_H1fc zenon_H19e zenon_H1e6 zenon_H151 zenon_H14d zenon_H12d zenon_H152 zenon_H72 zenon_H13e zenon_H159 zenon_H13f zenon_H1c1 zenon_H1d3 zenon_H1d8 zenon_Haa zenon_H1db zenon_H1e2 zenon_Hed zenon_Hec zenon_H22a zenon_H248 zenon_H22b zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H2c zenon_H45 zenon_H208 zenon_H206 zenon_Heb zenon_H2a zenon_H2e zenon_H58. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_L347_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L719_); trivial. % 0.94/1.17 apply (zenon_L236_); trivial. % 0.94/1.17 (* end of lemma zenon_L720_ *) % 0.94/1.17 assert (zenon_L721_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (c3_1 (a170)) -> (~(c2_1 (a170))) -> (~(c0_1 (a170))) -> (ndr1_0) -> (~(hskp28)) -> (~(hskp13)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H1da zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1b3 zenon_H70. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1da); [ zenon_intro zenon_H10 | zenon_intro zenon_H1df ]. % 0.94/1.17 apply (zenon_L9_); trivial. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1df); [ zenon_intro zenon_H1b4 | zenon_intro zenon_H71 ]. % 0.94/1.17 exact (zenon_H1b3 zenon_H1b4). % 0.94/1.17 exact (zenon_H70 zenon_H71). % 0.94/1.17 (* end of lemma zenon_L721_ *) % 0.94/1.17 assert (zenon_L722_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp26)) -> (~(hskp27)) -> (ndr1_0) -> (~(c0_1 (a170))) -> (~(c2_1 (a170))) -> (c3_1 (a170)) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H1d9 zenon_H1c1 zenon_H1be zenon_H117 zenon_Hf zenon_H11 zenon_H12 zenon_H13 zenon_H70 zenon_H1da. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.17 apply (zenon_L721_); trivial. % 0.94/1.17 apply (zenon_L123_); trivial. % 0.94/1.17 (* end of lemma zenon_L722_ *) % 0.94/1.17 assert (zenon_L723_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a170)) -> (~(c2_1 (a170))) -> (~(c0_1 (a170))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H152 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H2a zenon_H108 zenon_H4a zenon_H49 zenon_H48 zenon_H1da zenon_H70 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1be zenon_H1c1 zenon_H1d9. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 0.94/1.17 apply (zenon_L722_); trivial. % 0.94/1.17 apply (zenon_L670_); trivial. % 0.94/1.17 (* end of lemma zenon_L723_ *) % 0.94/1.17 assert (zenon_L724_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H1d5 zenon_H1a3 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H1d3 zenon_H98 zenon_Hb1 zenon_H97 zenon_H16c zenon_H174 zenon_H16d. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 0.94/1.17 apply (zenon_L315_); trivial. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 0.94/1.17 apply (zenon_L117_); trivial. % 0.94/1.17 apply (zenon_L114_); trivial. % 0.94/1.17 (* end of lemma zenon_L724_ *) % 0.94/1.17 assert (zenon_L725_ : ((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (~(c2_1 (a158))) -> (~(c3_1 (a158))) -> (c1_1 (a158)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H30 zenon_H1d8 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hc4 zenon_Hc5 zenon_Hc6 zenon_H16c zenon_H174 zenon_H16d zenon_H1d3 zenon_H1d9 zenon_H1c1 zenon_H70 zenon_H1da zenon_H48 zenon_H49 zenon_H4a zenon_H108 zenon_H2a zenon_Hed zenon_Hec zenon_Heb zenon_H206 zenon_H208 zenon_H152. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.17 apply (zenon_L723_); trivial. % 0.94/1.17 apply (zenon_L724_); trivial. % 0.94/1.17 (* end of lemma zenon_L725_ *) % 0.94/1.17 assert (zenon_L726_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp3)) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_Hcf zenon_H18e zenon_H2e zenon_H2c zenon_H180 zenon_H152 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H2a zenon_H108 zenon_H4a zenon_H49 zenon_H48 zenon_H1da zenon_H70 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H1d8 zenon_H35. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H18e); [ zenon_intro zenon_H17e | zenon_intro zenon_H18b ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 0.94/1.17 apply (zenon_L107_); trivial. % 0.94/1.17 apply (zenon_L725_); trivial. % 0.94/1.17 apply (zenon_L109_); trivial. % 0.94/1.17 (* end of lemma zenon_L726_ *) % 0.94/1.17 assert (zenon_L727_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H23b zenon_Hbd zenon_H1fd zenon_H31 zenon_Haa zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1d8 zenon_H13e zenon_H12d zenon_H1e0 zenon_H2c zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H108 zenon_H2a zenon_H152 zenon_H14d zenon_H151 zenon_H35 zenon_H1a3 zenon_H1d3 zenon_H180 zenon_H2e zenon_H18e zenon_Hd4 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H70 zenon_H1da zenon_He3. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.17 apply (zenon_L646_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.17 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.17 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.17 apply (zenon_L673_); trivial. % 0.94/1.17 apply (zenon_L83_); trivial. % 0.94/1.17 apply (zenon_L662_); trivial. % 0.94/1.17 apply (zenon_L726_); trivial. % 0.94/1.17 apply (zenon_L675_); trivial. % 0.94/1.17 (* end of lemma zenon_L727_ *) % 0.94/1.17 assert (zenon_L728_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> (~(hskp1)) -> (~(c1_1 (a135))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H24d zenon_H167 zenon_H25a zenon_Ha zenon_H110 zenon_H10f zenon_H10e zenon_H58 zenon_H2e zenon_H2a zenon_Heb zenon_H206 zenon_H208 zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H236 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H13f zenon_H159 zenon_H13e zenon_H72 zenon_H152 zenon_H12d zenon_H14d zenon_H151 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H17c zenon_Hae zenon_H18e zenon_H1fd zenon_He3 zenon_Hb2 zenon_H1e0 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_Hd0 zenon_H211. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.17 apply (zenon_L720_); trivial. % 0.94/1.17 apply (zenon_L268_); trivial. % 0.94/1.17 (* end of lemma zenon_L728_ *) % 0.94/1.17 assert (zenon_L729_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp8)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/((hskp18)\/(hskp21))) -> (~(hskp1)) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((hskp1)\/(hskp3))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1db zenon_H246 zenon_H59 zenon_H1d9 zenon_H1e6 zenon_H19e zenon_H1e2 zenon_H17c zenon_H1e zenon_H1d zenon_H1c zenon_H22a zenon_H22b zenon_H3 zenon_H18f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H31 zenon_H1fc zenon_H35 zenon_H180 zenon_H2a zenon_H2e zenon_H18e zenon_Hd4 zenon_Hb2. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L358_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L729_ *) % 0.94/1.17 assert (zenon_L730_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_H12d zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_Haa zenon_H31 zenon_H1fd zenon_H15b zenon_H15c zenon_H15d zenon_H240 zenon_Ha5 zenon_He3 zenon_Hb2. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L355_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L730_ *) % 0.94/1.17 assert (zenon_L731_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H151 zenon_H31 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1e0 zenon_H12d zenon_H13e zenon_H159 zenon_Haa zenon_Hb2. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.17 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L365_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L731_ *) % 0.94/1.17 assert (zenon_L732_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H10a zenon_H211 zenon_H1c zenon_H1d zenon_H1e zenon_H1e0 zenon_H13e zenon_Hb2 zenon_He3 zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H1fd zenon_H31 zenon_Haa zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_L730_); trivial. % 0.94/1.17 apply (zenon_L731_); trivial. % 0.94/1.17 (* end of lemma zenon_L732_ *) % 0.94/1.17 assert (zenon_L733_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp12)) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H1fc zenon_H19e zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H31 zenon_H59 zenon_H246 zenon_H1db zenon_Hb2. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L368_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L733_ *) % 0.94/1.17 assert (zenon_L734_ : ((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 0.94/1.17 do 0 intro. intros zenon_H255 zenon_H42 zenon_H167 zenon_H211 zenon_H1e0 zenon_H13e zenon_He3 zenon_Ha5 zenon_H240 zenon_H1fd zenon_Haa zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_Hb2 zenon_H1db zenon_H246 zenon_H31 zenon_H1e6 zenon_H18f zenon_H19e zenon_H1fc zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58 zenon_H3 zenon_H5. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 0.94/1.17 apply (zenon_L3_); trivial. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.17 apply (zenon_L733_); trivial. % 0.94/1.17 apply (zenon_L732_); trivial. % 0.94/1.17 (* end of lemma zenon_L734_ *) % 0.94/1.17 assert (zenon_L735_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_H22b zenon_H248 zenon_H22a zenon_Hec zenon_Hed zenon_H1e2 zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H13f zenon_H159 zenon_H13e zenon_H72 zenon_H152 zenon_H12d zenon_H14d zenon_H151 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H17c zenon_Hae zenon_H18e zenon_H1fd zenon_He3 zenon_Hb2. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.17 apply (zenon_L346_); trivial. % 0.94/1.17 apply (zenon_L656_); trivial. % 0.94/1.17 (* end of lemma zenon_L735_ *) % 0.94/1.17 assert (zenon_L736_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.17 do 0 intro. intros zenon_H10a zenon_H211 zenon_H1d8 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H152 zenon_Hd0 zenon_H1e0 zenon_H13e zenon_Hb2 zenon_He3 zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H1fd zenon_H31 zenon_Haa zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H12d zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.17 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.17 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.17 apply (zenon_L730_); trivial. % 0.94/1.17 apply (zenon_L294_); trivial. % 0.94/1.17 (* end of lemma zenon_L736_ *) % 0.94/1.17 assert (zenon_L737_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H24d zenon_H167 zenon_H208 zenon_H206 zenon_Heb zenon_Ha5 zenon_H240 zenon_H31 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d9 zenon_H239 zenon_H236 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H1db zenon_Haa zenon_H1d8 zenon_H1d3 zenon_H1c1 zenon_H13f zenon_H159 zenon_H13e zenon_H72 zenon_H152 zenon_H12d zenon_H14d zenon_H151 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H17c zenon_Hae zenon_H18e zenon_H1fd zenon_He3 zenon_Hb2 zenon_H1e0 zenon_H29b zenon_Hd0 zenon_H211. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.18 apply (zenon_L735_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.18 apply (zenon_L719_); trivial. % 0.94/1.18 apply (zenon_L656_); trivial. % 0.94/1.18 apply (zenon_L736_); trivial. % 0.94/1.18 (* end of lemma zenon_L737_ *) % 0.94/1.18 assert (zenon_L738_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_Hd4 zenon_H1d8 zenon_H1c1 zenon_H152 zenon_H1d3 zenon_H1d9 zenon_H239 zenon_H59 zenon_H236 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_Haa zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H13f zenon_H159 zenon_H13e zenon_H12d zenon_H14d zenon_H151 zenon_H17c zenon_Hae zenon_H18e zenon_H1fc zenon_H19e zenon_H1e6 zenon_H31 zenon_H1fd zenon_H1db zenon_He3 zenon_Hb2. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.18 apply (zenon_L325_); trivial. % 0.94/1.18 apply (zenon_L656_); trivial. % 0.94/1.18 (* end of lemma zenon_L738_ *) % 0.94/1.18 assert (zenon_L739_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp18))\/((ndr1_0)/\((c0_1 (a159))/\((~(c2_1 (a159)))/\(~(c3_1 (a159))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X63 : zenon_U, ((ndr1_0)->((c2_1 X63)\/((c3_1 X63)\/(~(c0_1 X63))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp18))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H211 zenon_Hd0 zenon_H1e0 zenon_Hb2 zenon_He3 zenon_H1db zenon_H1fd zenon_H31 zenon_H1e6 zenon_H19e zenon_H1fc zenon_H18e zenon_Hae zenon_H17c zenon_H151 zenon_H14d zenon_H12d zenon_H13e zenon_H159 zenon_H13f zenon_H72 zenon_H62 zenon_H61 zenon_H60 zenon_H164 zenon_Haa zenon_H1e2 zenon_Hed zenon_Hec zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H236 zenon_H59 zenon_H239 zenon_H1d9 zenon_H1d3 zenon_H152 zenon_H1c1 zenon_H1d8 zenon_Hd4 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H2c zenon_H45 zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.18 apply (zenon_L738_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 0.94/1.18 apply (zenon_L330_); trivial. % 0.94/1.18 apply (zenon_L656_); trivial. % 0.94/1.18 (* end of lemma zenon_L739_ *) % 0.94/1.18 assert (zenon_L740_ : ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> (~(hskp20)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H1fc zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H19e zenon_H19c zenon_H1e6 zenon_H43 zenon_H2c zenon_H45 zenon_H1d9. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 0.94/1.18 apply (zenon_L306_); trivial. % 0.94/1.18 apply (zenon_L144_); trivial. % 0.94/1.18 apply (zenon_L146_); trivial. % 0.94/1.18 (* end of lemma zenon_L740_ *) % 0.94/1.18 assert (zenon_L741_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a168)) -> (~(c0_1 (a168))) -> (~(c2_1 (a168))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H45 zenon_H2c zenon_H43 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_H1a7 zenon_H1a6 zenon_H1a5 zenon_H1d9 zenon_H1c1 zenon_H13f zenon_H59 zenon_H236 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H159 zenon_H13e zenon_H152. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.18 apply (zenon_L314_); trivial. % 0.94/1.18 apply (zenon_L129_); trivial. % 0.94/1.18 (* end of lemma zenon_L741_ *) % 0.94/1.18 assert (zenon_L742_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H1dc zenon_Haa zenon_H13f zenon_H59 zenon_H236 zenon_H159 zenon_H13e zenon_H45 zenon_H2c zenon_H43 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H152 zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1e2 zenon_Hed zenon_Hec zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1c1 zenon_H1d9 zenon_H1d3 zenon_H1d8 zenon_H151. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.18 apply (zenon_L324_); trivial. % 0.94/1.18 apply (zenon_L741_); trivial. % 0.94/1.18 (* end of lemma zenon_L742_ *) % 0.94/1.18 assert (zenon_L743_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Had zenon_Hae zenon_Haa zenon_Ha5 zenon_Ha3 zenon_H26a zenon_H269 zenon_H268 zenon_H80 zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_H39 zenon_H3b zenon_H3e. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 0.94/1.18 apply (zenon_L35_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.18 apply (zenon_L38_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 0.94/1.18 apply (zenon_L41_); trivial. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 0.94/1.18 apply (zenon_L383_); trivial. % 0.94/1.18 apply (zenon_L45_); trivial. % 0.94/1.18 (* end of lemma zenon_L743_ *) % 0.94/1.18 assert (zenon_L744_ : ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((hskp9)\/((hskp21)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((hskp11)\/(hskp8)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H166 zenon_H254 zenon_H211 zenon_H152 zenon_H159 zenon_H273 zenon_He3 zenon_He0 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_Ha3 zenon_H72 zenon_H80 zenon_Ha5 zenon_Haa zenon_Hae zenon_Hb2 zenon_Hc zenon_Ha zenon_H268 zenon_H269 zenon_H26a zenon_H271 zenon_H35 zenon_H5 zenon_H39 zenon_H3b zenon_H3e zenon_H42. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 0.94/1.18 apply (zenon_L20_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 0.94/1.18 apply (zenon_L385_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L635_); trivial. % 0.94/1.18 apply (zenon_L743_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L635_); trivial. % 0.94/1.18 apply (zenon_L389_); trivial. % 0.94/1.18 (* end of lemma zenon_L744_ *) % 0.94/1.18 assert (zenon_L745_ : ((~(hskp6))\/((ndr1_0)/\((~(c0_1 (a133)))/\((~(c1_1 (a133)))/\(~(c2_1 (a133))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((hskp11)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((hskp9)\/((hskp21)\/(hskp6))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H28d zenon_H164 zenon_H42 zenon_H3e zenon_H3b zenon_H39 zenon_H5 zenon_H35 zenon_H271 zenon_H26a zenon_H269 zenon_H268 zenon_Hc zenon_Hb2 zenon_Hae zenon_Haa zenon_Ha5 zenon_H80 zenon_H72 zenon_Ha3 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_He0 zenon_He3 zenon_H273 zenon_H159 zenon_H152 zenon_H211 zenon_H254 zenon_H166. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 0.94/1.18 apply (zenon_L744_); trivial. % 0.94/1.18 apply (zenon_L642_); trivial. % 0.94/1.18 (* end of lemma zenon_L745_ *) % 0.94/1.18 assert (zenon_L746_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X14 : zenon_U, ((ndr1_0)->((c0_1 X14)\/((c2_1 X14)\/(~(c1_1 X14))))))\/((hskp12)\/(hskp8))) -> (~(hskp12)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(hskp8))) -> (~(hskp8)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H1db zenon_H246 zenon_H59 zenon_H152 zenon_H240 zenon_H1e zenon_H1d zenon_H1c zenon_H18f zenon_H3 zenon_H60 zenon_H61 zenon_H62 zenon_H1e6 zenon_H273 zenon_H19e zenon_H1fc zenon_H1ff zenon_H39 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H164 zenon_Ha zenon_H278 zenon_H72 zenon_Haa zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L646_); trivial. % 0.94/1.18 apply (zenon_L410_); trivial. % 0.94/1.18 (* end of lemma zenon_L746_ *) % 0.94/1.18 assert (zenon_L747_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp6)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H152 zenon_H273 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1ff zenon_H39 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H164 zenon_Ha zenon_H278 zenon_H72 zenon_Haa zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L646_); trivial. % 0.94/1.18 apply (zenon_L424_); trivial. % 0.94/1.18 (* end of lemma zenon_L747_ *) % 0.94/1.18 assert (zenon_L748_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Hb2 zenon_H1db zenon_H1a3 zenon_H1d3 zenon_Haa zenon_H1d8 zenon_H159 zenon_H1e2 zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H1e6 zenon_H273 zenon_H278 zenon_Ha zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H108 zenon_H2a zenon_H152 zenon_H39 zenon_H1ff zenon_H1fc zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L646_); trivial. % 0.94/1.18 apply (zenon_L438_); trivial. % 0.94/1.18 (* end of lemma zenon_L748_ *) % 0.94/1.18 assert (zenon_L749_ : ((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H1dc zenon_Haa zenon_H1d8 zenon_H278 zenon_Ha zenon_H268 zenon_H269 zenon_H26a zenon_H1d3 zenon_H273 zenon_H1d9 zenon_H1c1 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H1a3 zenon_H98 zenon_Hb1 zenon_H97 zenon_Hec zenon_Hed zenon_H1e2 zenon_H159 zenon_H152 zenon_H16c zenon_H174 zenon_H16d zenon_H39 zenon_H1ff. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.18 apply (zenon_L153_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.18 apply (zenon_L138_); trivial. % 0.94/1.18 apply (zenon_L437_); trivial. % 0.94/1.18 (* end of lemma zenon_L749_ *) % 0.94/1.18 assert (zenon_L750_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp20))\/((ndr1_0)/\((c1_1 (a168))/\((~(c0_1 (a168)))/\(~(c2_1 (a168))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(c1_1 (a135))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X59 : zenon_U, ((ndr1_0)->((c1_1 X59)\/((~(c0_1 X59))\/(~(c2_1 X59))))))\/((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/(hskp20))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp22))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((~(hskp22))\/((ndr1_0)/\((c0_1 (a179))/\((c2_1 (a179))/\(~(c1_1 (a179))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1db zenon_H1d3 zenon_H1d8 zenon_H278 zenon_Ha zenon_Heb zenon_H268 zenon_H269 zenon_H26a zenon_H19e zenon_H1e6 zenon_H273 zenon_H1d9 zenon_H1c1 zenon_H1a3 zenon_Hec zenon_Hed zenon_H1e2 zenon_H16c zenon_H174 zenon_H16d zenon_H39 zenon_H1ff zenon_H1fc zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 0.94/1.18 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L88_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.18 apply (zenon_L153_); trivial. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 0.94/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 0.94/1.18 apply (zenon_L138_); trivial. % 0.94/1.18 apply (zenon_L435_); trivial. % 0.94/1.18 apply (zenon_L146_); trivial. % 0.94/1.18 apply (zenon_L749_); trivial. % 0.94/1.18 (* end of lemma zenon_L750_ *) % 0.94/1.18 assert (zenon_L751_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H152 zenon_H108 zenon_H2a zenon_Hec zenon_Hed zenon_H1a3 zenon_H273 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 0.94/1.18 apply (zenon_L646_); trivial. % 0.94/1.18 apply (zenon_L487_); trivial. % 0.94/1.18 (* end of lemma zenon_L751_ *) % 0.94/1.18 assert (zenon_L752_ : ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp16)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_Hcd zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_Hf zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152 zenon_H1da zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_Haa. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 0.94/1.18 apply (zenon_L564_); trivial. % 0.94/1.18 apply (zenon_L662_); trivial. % 0.94/1.18 apply (zenon_L575_); trivial. % 0.94/1.18 (* end of lemma zenon_L752_ *) % 0.94/1.18 assert (zenon_L753_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H10a zenon_H211 zenon_Hbd zenon_Hc1 zenon_Hd4 zenon_H1d3 zenon_H151 zenon_H14d zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_H12d zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H13e zenon_H152 zenon_H1da zenon_H159 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_Haa zenon_H1fd zenon_He3. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 0.94/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 0.94/1.18 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 0.94/1.18 apply (zenon_L752_); trivial. % 0.94/1.18 apply (zenon_L576_); trivial. % 0.94/1.18 apply (zenon_L427_); trivial. % 0.94/1.18 (* end of lemma zenon_L753_ *) % 0.94/1.18 assert (zenon_L754_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 0.94/1.18 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Ha5 zenon_H97 zenon_Hb1 zenon_H98 zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_Hf zenon_H13f zenon_H7e zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H13e zenon_H152. % 0.94/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 0.94/1.18 apply (zenon_L550_); trivial. % 0.94/1.18 apply (zenon_L312_); trivial. % 0.94/1.18 (* end of lemma zenon_L754_ *) % 0.94/1.18 assert (zenon_L755_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hd4. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.18 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.18 apply (zenon_L553_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.18 apply (zenon_L754_); trivial. % 1.04/1.18 apply (zenon_L552_); trivial. % 1.04/1.18 apply (zenon_L555_); trivial. % 1.04/1.18 (* end of lemma zenon_L755_ *) % 1.04/1.18 assert (zenon_L756_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_H14d zenon_H151 zenon_H1d3 zenon_Hd4 zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.18 apply (zenon_L646_); trivial. % 1.04/1.18 apply (zenon_L755_); trivial. % 1.04/1.18 (* end of lemma zenon_L756_ *) % 1.04/1.18 assert (zenon_L757_ : (forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73)))))) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H222 zenon_Hf zenon_H29d zenon_H29e zenon_H29f. % 1.04/1.18 generalize (zenon_H222 (a125)). zenon_intro zenon_H2a0. % 1.04/1.18 apply (zenon_imply_s _ _ zenon_H2a0); [ zenon_intro zenon_He | zenon_intro zenon_H2a1 ]. % 1.04/1.18 exact (zenon_He zenon_Hf). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2a1); [ zenon_intro zenon_H2a3 | zenon_intro zenon_H2a2 ]. % 1.04/1.18 exact (zenon_H29d zenon_H2a3). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a4 ]. % 1.04/1.18 exact (zenon_H2a5 zenon_H29e). % 1.04/1.18 exact (zenon_H2a4 zenon_H29f). % 1.04/1.18 (* end of lemma zenon_L757_ *) % 1.04/1.18 assert (zenon_L758_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> False). % 1.04/1.18 do 0 intro. intros zenon_H236 zenon_H59 zenon_H29f zenon_H29e zenon_H29d zenon_Hf. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H236); [ zenon_intro zenon_H222 | zenon_intro zenon_H5a ]. % 1.04/1.18 apply (zenon_L757_); trivial. % 1.04/1.18 exact (zenon_H59 zenon_H5a). % 1.04/1.18 (* end of lemma zenon_L758_ *) % 1.04/1.18 assert (zenon_L759_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c3_1 (a125))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (ndr1_0) -> (forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54)))))) -> (~(hskp13)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H220 zenon_H29d zenon_H29f zenon_H29e zenon_Hf zenon_Hd5 zenon_H70. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 1.04/1.18 apply (zenon_L757_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5f | zenon_intro zenon_H71 ]. % 1.04/1.18 generalize (zenon_Hd5 (a125)). zenon_intro zenon_H2a6. % 1.04/1.18 apply (zenon_imply_s _ _ zenon_H2a6); [ zenon_intro zenon_He | zenon_intro zenon_H2a7 ]. % 1.04/1.18 exact (zenon_He zenon_Hf). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2a7); [ zenon_intro zenon_H2a8 | zenon_intro zenon_H2a2 ]. % 1.04/1.18 generalize (zenon_H5f (a125)). zenon_intro zenon_H2a9. % 1.04/1.18 apply (zenon_imply_s _ _ zenon_H2a9); [ zenon_intro zenon_He | zenon_intro zenon_H2aa ]. % 1.04/1.18 exact (zenon_He zenon_Hf). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2aa); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2ab ]. % 1.04/1.18 exact (zenon_H2a5 zenon_H29e). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2ab); [ zenon_intro zenon_H2a4 | zenon_intro zenon_H2ac ]. % 1.04/1.18 exact (zenon_H2a4 zenon_H29f). % 1.04/1.18 exact (zenon_H2ac zenon_H2a8). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H2a2); [ zenon_intro zenon_H2a5 | zenon_intro zenon_H2a4 ]. % 1.04/1.18 exact (zenon_H2a5 zenon_H29e). % 1.04/1.18 exact (zenon_H2a4 zenon_H29f). % 1.04/1.18 exact (zenon_H70 zenon_H71). % 1.04/1.18 (* end of lemma zenon_L759_ *) % 1.04/1.18 assert (zenon_L760_ : ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(hskp15)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> False). % 1.04/1.18 do 0 intro. intros zenon_He0 zenon_H5b zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H70 zenon_H220. % 1.04/1.18 apply (zenon_or_s _ _ zenon_He0); [ zenon_intro zenon_Hd5 | zenon_intro zenon_H5c ]. % 1.04/1.18 apply (zenon_L759_); trivial. % 1.04/1.18 exact (zenon_H5b zenon_H5c). % 1.04/1.18 (* end of lemma zenon_L760_ *) % 1.04/1.18 assert (zenon_L761_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp9)) -> (~(c0_1 (a170))) -> (~(c2_1 (a170))) -> (c3_1 (a170)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 1.04/1.18 do 0 intro. intros zenon_Ha4 zenon_Ha3 zenon_H6 zenon_H11 zenon_H12 zenon_H13 zenon_H164 zenon_H98 zenon_H97 zenon_H6e zenon_H271 zenon_H39 zenon_H3b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H91 | zenon_intro zenon_H272 ]. % 1.04/1.18 apply (zenon_L91_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H10 | zenon_intro zenon_H7 ]. % 1.04/1.18 apply (zenon_L9_); trivial. % 1.04/1.18 exact (zenon_H6 zenon_H7). % 1.04/1.18 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 1.04/1.18 exact (zenon_H39 zenon_H3a). % 1.04/1.18 exact (zenon_H3b zenon_H3c). % 1.04/1.18 (* end of lemma zenon_L761_ *) % 1.04/1.18 assert (zenon_L762_ : ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp19)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H35 zenon_Haa zenon_H164 zenon_H6e zenon_H271 zenon_H80 zenon_H3b zenon_H98 zenon_H97 zenon_Hb1 zenon_H39 zenon_Ha3 zenon_H6 zenon_Ha zenon_Hc. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 1.04/1.18 apply (zenon_L7_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.18 apply (zenon_L63_); trivial. % 1.04/1.18 apply (zenon_L761_); trivial. % 1.04/1.18 (* end of lemma zenon_L762_ *) % 1.04/1.18 assert (zenon_L763_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17)))))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_H62 zenon_H61 zenon_H1b zenon_H60 zenon_Hf zenon_H70. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 1.04/1.18 apply (zenon_L757_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5f | zenon_intro zenon_H71 ]. % 1.04/1.18 apply (zenon_L200_); trivial. % 1.04/1.18 exact (zenon_H70 zenon_H71). % 1.04/1.18 (* end of lemma zenon_L763_ *) % 1.04/1.18 assert (zenon_L764_ : ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp13)) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c3_1 (a125))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11)))))) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H1fd zenon_H60 zenon_H61 zenon_H62 zenon_H70 zenon_H29e zenon_H29f zenon_H29d zenon_H220 zenon_H10 zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b | zenon_intro zenon_H1fe ]. % 1.04/1.18 apply (zenon_L763_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hf9 ]. % 1.04/1.18 apply (zenon_L759_); trivial. % 1.04/1.18 apply (zenon_L68_); trivial. % 1.04/1.18 (* end of lemma zenon_L764_ *) % 1.04/1.18 assert (zenon_L765_ : ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (ndr1_0) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H31 zenon_Hfc zenon_Hfa zenon_H103 zenon_H1fd zenon_H70 zenon_Hf zenon_H60 zenon_H61 zenon_H62 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H2c. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 1.04/1.18 apply (zenon_L764_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 1.04/1.18 apply (zenon_L763_); trivial. % 1.04/1.18 exact (zenon_H2c zenon_H2d). % 1.04/1.18 (* end of lemma zenon_L765_ *) % 1.04/1.18 assert (zenon_L766_ : ((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H255 zenon_H167 zenon_H211 zenon_H58 zenon_H1d8 zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H152 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H159 zenon_H45 zenon_Haa zenon_He3 zenon_H1fd zenon_H220 zenon_H2c zenon_H31 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.18 apply (zenon_L765_); trivial. % 1.04/1.18 apply (zenon_L294_); trivial. % 1.04/1.18 (* end of lemma zenon_L766_ *) % 1.04/1.18 assert (zenon_L767_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H3e zenon_Ha3 zenon_H39 zenon_H3b zenon_H80 zenon_H15b zenon_H15c zenon_H15d zenon_H164 zenon_Ha5 zenon_Haa zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.18 apply (zenon_L760_); trivial. % 1.04/1.18 apply (zenon_L95_); trivial. % 1.04/1.18 (* end of lemma zenon_L767_ *) % 1.04/1.18 assert (zenon_L768_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> (~(hskp9)) -> (~(c0_1 (a170))) -> (~(c2_1 (a170))) -> (c3_1 (a170)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp0)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H13d zenon_H208 zenon_H4a zenon_H49 zenon_H48 zenon_H6 zenon_H11 zenon_H12 zenon_H13 zenon_H240 zenon_H8c zenon_H83 zenon_H82 zenon_H98 zenon_H97 zenon_Hb1 zenon_H271 zenon_H206. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 1.04/1.18 apply (zenon_L24_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H91 | zenon_intro zenon_H272 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 1.04/1.18 apply (zenon_L42_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 1.04/1.18 apply (zenon_L61_); trivial. % 1.04/1.18 apply (zenon_L86_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H10 | zenon_intro zenon_H7 ]. % 1.04/1.18 apply (zenon_L9_); trivial. % 1.04/1.18 exact (zenon_H6 zenon_H7). % 1.04/1.18 exact (zenon_H206 zenon_H207). % 1.04/1.18 (* end of lemma zenon_L768_ *) % 1.04/1.18 assert (zenon_L769_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (~(hskp9)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> (c3_1 (a170)) -> (~(c2_1 (a170))) -> (~(c0_1 (a170))) -> (ndr1_0) -> (~(hskp26)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H152 zenon_H208 zenon_H206 zenon_H240 zenon_H98 zenon_H97 zenon_Hb1 zenon_H8c zenon_H83 zenon_H82 zenon_H6 zenon_H271 zenon_H4a zenon_H49 zenon_H48 zenon_H1da zenon_H70 zenon_H13 zenon_H12 zenon_H11 zenon_Hf zenon_H1be zenon_H1c1 zenon_H1d9. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.18 apply (zenon_L722_); trivial. % 1.04/1.18 apply (zenon_L768_); trivial. % 1.04/1.18 (* end of lemma zenon_L769_ *) % 1.04/1.18 assert (zenon_L770_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c0_1 (a170))) -> (~(c2_1 (a170))) -> (c3_1 (a170)) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp9)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H13e zenon_H23b zenon_Hbd zenon_H1e0 zenon_H2c zenon_H1d9 zenon_H1c1 zenon_H11 zenon_H12 zenon_H13 zenon_H70 zenon_H1da zenon_H48 zenon_H49 zenon_H4a zenon_H271 zenon_H6 zenon_Hb1 zenon_H97 zenon_H98 zenon_H240 zenon_H206 zenon_H208 zenon_H152. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 1.04/1.18 apply (zenon_L769_); trivial. % 1.04/1.18 apply (zenon_L667_); trivial. % 1.04/1.18 (* end of lemma zenon_L770_ *) % 1.04/1.18 assert (zenon_L771_ : ((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H255 zenon_H167 zenon_H211 zenon_He3 zenon_Haa zenon_H23b zenon_H13e zenon_H12d zenon_H1e0 zenon_H151 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_H1fd zenon_H220 zenon_H2c zenon_H31 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.18 apply (zenon_L765_); trivial. % 1.04/1.18 apply (zenon_L198_); trivial. % 1.04/1.18 (* end of lemma zenon_L771_ *) % 1.04/1.18 assert (zenon_L772_ : ((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H275 zenon_H167 zenon_H25a zenon_Ha zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_L268_); trivial. % 1.04/1.18 (* end of lemma zenon_L772_ *) % 1.04/1.18 assert (zenon_L773_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> (~(hskp4)) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H28e zenon_H25a zenon_H167 zenon_H211 zenon_He3 zenon_H12d zenon_H1fd zenon_H31 zenon_H151 zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H35 zenon_H45 zenon_H2c zenon_Ha zenon_Hc zenon_He0 zenon_H220 zenon_H1ff zenon_H39 zenon_H16d zenon_H174 zenon_H16c zenon_H152 zenon_H208 zenon_H206 zenon_H240 zenon_H271 zenon_H1da zenon_H1c1 zenon_H1d9 zenon_H1e0 zenon_H23b zenon_H13e zenon_H1d8 zenon_Haa zenon_Hb2 zenon_H58 zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H236 zenon_H254. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.18 apply (zenon_L23_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.18 apply (zenon_L760_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 1.04/1.18 apply (zenon_L7_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.18 apply (zenon_L153_); trivial. % 1.04/1.18 apply (zenon_L770_); trivial. % 1.04/1.18 apply (zenon_L198_); trivial. % 1.04/1.18 apply (zenon_L771_); trivial. % 1.04/1.18 apply (zenon_L772_); trivial. % 1.04/1.18 (* end of lemma zenon_L773_ *) % 1.04/1.18 assert (zenon_L774_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp14)) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb2 zenon_H45 zenon_H2c zenon_H43 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.18 apply (zenon_L760_); trivial. % 1.04/1.18 apply (zenon_L659_); trivial. % 1.04/1.18 (* end of lemma zenon_L774_ *) % 1.04/1.18 assert (zenon_L775_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_He0. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.18 apply (zenon_L760_); trivial. % 1.04/1.18 apply (zenon_L301_); trivial. % 1.04/1.18 (* end of lemma zenon_L775_ *) % 1.04/1.18 assert (zenon_L776_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_He0 zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H70 zenon_H220 zenon_H240 zenon_Hfc zenon_Hfa zenon_H103 zenon_H1e zenon_H1d zenon_H1c zenon_H2c zenon_H45 zenon_Hb2. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.18 apply (zenon_L774_); trivial. % 1.04/1.18 apply (zenon_L775_); trivial. % 1.04/1.18 (* end of lemma zenon_L776_ *) % 1.04/1.18 assert (zenon_L777_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H3d zenon_H167 zenon_H211 zenon_He3 zenon_Haa zenon_H23b zenon_H13e zenon_H12d zenon_H1e0 zenon_H1fd zenon_H31 zenon_H151 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_Hb2 zenon_H45 zenon_H2c zenon_H240 zenon_H220 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H208 zenon_H206 zenon_H264 zenon_H58 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.18 apply (zenon_L776_); trivial. % 1.04/1.18 apply (zenon_L198_); trivial. % 1.04/1.18 (* end of lemma zenon_L777_ *) % 1.04/1.18 assert (zenon_L778_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 1.04/1.18 do 0 intro. intros zenon_Hb2 zenon_Haa zenon_Ha5 zenon_H240 zenon_Hfc zenon_Hfa zenon_H103 zenon_H15d zenon_H15c zenon_H15b zenon_H39 zenon_H1ff zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.18 apply (zenon_L101_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.18 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.18 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.18 apply (zenon_L153_); trivial. % 1.04/1.18 apply (zenon_L353_); trivial. % 1.04/1.18 (* end of lemma zenon_L778_ *) % 1.04/1.18 assert (zenon_L779_ : ((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(hskp4)) -> ((forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39))))))\/((hskp4)\/(hskp24))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H168 zenon_H167 zenon_H211 zenon_H1d8 zenon_H1c1 zenon_H152 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H159 zenon_H31 zenon_H1fd zenon_He3 zenon_Hb2 zenon_Haa zenon_Ha5 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_H39 zenon_H1ff zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_H2c zenon_H45 zenon_H220 zenon_H208 zenon_H206 zenon_H264 zenon_H58 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.18 apply (zenon_L778_); trivial. % 1.04/1.18 apply (zenon_L775_); trivial. % 1.04/1.18 apply (zenon_L294_); trivial. % 1.04/1.18 (* end of lemma zenon_L779_ *) % 1.04/1.18 assert (zenon_L780_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H3d zenon_H167 zenon_H211 zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H152 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H12d zenon_H13e zenon_H159 zenon_Haa zenon_H31 zenon_H1fd zenon_He3 zenon_Hb2 zenon_H45 zenon_H2c zenon_H240 zenon_H220 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H208 zenon_H206 zenon_H264 zenon_H58 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.18 apply (zenon_L758_); trivial. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.18 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.18 apply (zenon_L776_); trivial. % 1.04/1.18 apply (zenon_L303_); trivial. % 1.04/1.18 (* end of lemma zenon_L780_ *) % 1.04/1.18 assert (zenon_L781_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23)))))) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_H21b zenon_H214 zenon_H213 zenon_Hb3 zenon_Hf zenon_H70. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 1.04/1.18 apply (zenon_L757_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5f | zenon_intro zenon_H71 ]. % 1.04/1.18 apply (zenon_L167_); trivial. % 1.04/1.18 exact (zenon_H70 zenon_H71). % 1.04/1.18 (* end of lemma zenon_L781_ *) % 1.04/1.18 assert (zenon_L782_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp13)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp29)) -> (~(hskp3)) -> False). % 1.04/1.18 do 0 intro. intros zenon_H1e0 zenon_H70 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H12f zenon_H2c. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1e0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e1 ]. % 1.04/1.18 apply (zenon_L781_); trivial. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H1e1); [ zenon_intro zenon_H130 | zenon_intro zenon_H2d ]. % 1.04/1.18 exact (zenon_H12f zenon_H130). % 1.04/1.18 exact (zenon_H2c zenon_H2d). % 1.04/1.18 (* end of lemma zenon_L782_ *) % 1.04/1.18 assert (zenon_L783_ : ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H13e zenon_H12d zenon_H7e zenon_H12b zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_H2c zenon_H1e0. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 1.04/1.18 apply (zenon_L782_); trivial. % 1.04/1.18 apply (zenon_L80_); trivial. % 1.04/1.18 (* end of lemma zenon_L783_ *) % 1.04/1.18 assert (zenon_L784_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 1.04/1.18 do 0 intro. intros zenon_H151 zenon_H31 zenon_H1c zenon_H1d zenon_H1e zenon_Hb1 zenon_H98 zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1e0 zenon_H2c zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H7e zenon_H12d zenon_H13e. % 1.04/1.18 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.18 apply (zenon_L783_); trivial. % 1.04/1.18 apply (zenon_L363_); trivial. % 1.04/1.18 (* end of lemma zenon_L784_ *) % 1.04/1.18 assert (zenon_L785_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha4 zenon_H13e zenon_H23b zenon_Hbd zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H2c zenon_H1e0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 1.04/1.19 apply (zenon_L782_); trivial. % 1.04/1.19 apply (zenon_L197_); trivial. % 1.04/1.19 (* end of lemma zenon_L785_ *) % 1.04/1.19 assert (zenon_L786_ : ((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H3d zenon_H167 zenon_H211 zenon_He3 zenon_H1fd zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_He0 zenon_H220 zenon_H151 zenon_H31 zenon_H240 zenon_H1e0 zenon_H2c zenon_H213 zenon_H214 zenon_H21b zenon_H12d zenon_H13e zenon_Hbd zenon_H23b zenon_Haa zenon_Hb2 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L784_); trivial. % 1.04/1.19 apply (zenon_L785_); trivial. % 1.04/1.19 apply (zenon_L198_); trivial. % 1.04/1.19 (* end of lemma zenon_L786_ *) % 1.04/1.19 assert (zenon_L787_ : ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp8)) -> ((hskp11)\/(hskp8)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H42 zenon_H167 zenon_H211 zenon_He3 zenon_H1fd zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_He0 zenon_H220 zenon_H151 zenon_H31 zenon_H240 zenon_H1e0 zenon_H2c zenon_H213 zenon_H214 zenon_H21b zenon_H12d zenon_H13e zenon_Hbd zenon_H23b zenon_Haa zenon_Hb2 zenon_H29d zenon_H29e zenon_H29f zenon_H236 zenon_H3 zenon_H5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.04/1.19 apply (zenon_L3_); trivial. % 1.04/1.19 apply (zenon_L786_); trivial. % 1.04/1.19 (* end of lemma zenon_L787_ *) % 1.04/1.19 assert (zenon_L788_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H1e0 zenon_H2c zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H7e zenon_H12d zenon_H13e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.19 apply (zenon_L783_); trivial. % 1.04/1.19 apply (zenon_L83_); trivial. % 1.04/1.19 (* end of lemma zenon_L788_ *) % 1.04/1.19 assert (zenon_L789_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp16)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hcf zenon_Hd0 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_Hcd. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hd0); [ zenon_intro zenon_Hb3 | zenon_intro zenon_Hd3 ]. % 1.04/1.19 apply (zenon_L781_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hd3); [ zenon_intro zenon_Hc3 | zenon_intro zenon_Hce ]. % 1.04/1.19 apply (zenon_L54_); trivial. % 1.04/1.19 exact (zenon_Hcd zenon_Hce). % 1.04/1.19 (* end of lemma zenon_L789_ *) % 1.04/1.19 assert (zenon_L790_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c2_1 (a151))) -> (c0_1 (a151)) -> (c1_1 (a151)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H31 zenon_Hd6 zenon_Hd7 zenon_Hd8 zenon_H103 zenon_Hfa zenon_Hfc zenon_H1fd zenon_H1e0 zenon_H2c zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H7e zenon_H12d zenon_H13e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.19 apply (zenon_L783_); trivial. % 1.04/1.19 apply (zenon_L195_); trivial. % 1.04/1.19 (* end of lemma zenon_L790_ *) % 1.04/1.19 assert (zenon_L791_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H23b zenon_Hbd zenon_H13e zenon_H12d zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H2c zenon_H1e0 zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H31 zenon_H151. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L790_); trivial. % 1.04/1.19 apply (zenon_L785_); trivial. % 1.04/1.19 (* end of lemma zenon_L791_ *) % 1.04/1.19 assert (zenon_L792_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> ((~(hskp11))\/((ndr1_0)/\((c0_1 (a139))/\((~(c1_1 (a139)))/\(~(c3_1 (a139))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((hskp11)\/(hskp8)) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp9))\/((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136))))))) -> ((~(hskp8))\/((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H28e zenon_H25a zenon_H42 zenon_H167 zenon_H211 zenon_He3 zenon_H1fd zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_He0 zenon_H220 zenon_H151 zenon_H31 zenon_H240 zenon_H1e0 zenon_H2c zenon_H213 zenon_H214 zenon_H21b zenon_H12d zenon_H13e zenon_H23b zenon_Haa zenon_Hb2 zenon_H29d zenon_H29e zenon_H29f zenon_H236 zenon_H5 zenon_H35 zenon_H45 zenon_Ha zenon_Hc zenon_H14d zenon_H152 zenon_H208 zenon_H206 zenon_H271 zenon_H1da zenon_H1c1 zenon_H1d9 zenon_H1d8 zenon_H58 zenon_H159 zenon_H254 zenon_H166. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.04/1.19 apply (zenon_L787_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.19 apply (zenon_L23_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 1.04/1.19 apply (zenon_L7_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L788_); trivial. % 1.04/1.19 apply (zenon_L770_); trivial. % 1.04/1.19 apply (zenon_L789_); trivial. % 1.04/1.19 apply (zenon_L791_); trivial. % 1.04/1.19 apply (zenon_L198_); trivial. % 1.04/1.19 apply (zenon_L766_); trivial. % 1.04/1.19 apply (zenon_L772_); trivial. % 1.04/1.19 (* end of lemma zenon_L792_ *) % 1.04/1.19 assert (zenon_L793_ : ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c1_1 (a149))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(hskp14)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Haa zenon_Ha5 zenon_H97 zenon_H240 zenon_Hfc zenon_Hfa zenon_H103 zenon_H98 zenon_Hb1 zenon_H43 zenon_H45 zenon_H15d zenon_H15c zenon_H15b zenon_H13e zenon_H12d zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_H2c zenon_H1e0 zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L788_); trivial. % 1.04/1.19 apply (zenon_L353_); trivial. % 1.04/1.19 (* end of lemma zenon_L793_ *) % 1.04/1.19 assert (zenon_L794_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp14)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H45 zenon_H43 zenon_H159 zenon_H13e zenon_H12d zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H2c zenon_H1e0 zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H31 zenon_H151. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L790_); trivial. % 1.04/1.19 apply (zenon_L185_); trivial. % 1.04/1.19 (* end of lemma zenon_L794_ *) % 1.04/1.19 assert (zenon_L795_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_He0 zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H70 zenon_H220 zenon_Hd4 zenon_Hae zenon_H159 zenon_H3b zenon_H80 zenon_H72 zenon_Hd0 zenon_H151 zenon_H14d zenon_H1e0 zenon_H2c zenon_H213 zenon_H214 zenon_H21b zenon_H12d zenon_H13e zenon_H15b zenon_H15c zenon_H15d zenon_H45 zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_Ha5 zenon_Haa zenon_H31 zenon_H1fd zenon_He3 zenon_Hb2. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.19 apply (zenon_L793_); trivial. % 1.04/1.19 apply (zenon_L188_); trivial. % 1.04/1.19 apply (zenon_L794_); trivial. % 1.04/1.19 apply (zenon_L775_); trivial. % 1.04/1.19 (* end of lemma zenon_L795_ *) % 1.04/1.19 assert (zenon_L796_ : ((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H167 zenon_H211 zenon_H1d8 zenon_H1c1 zenon_H152 zenon_Hb2 zenon_He3 zenon_H1fd zenon_H31 zenon_Haa zenon_Ha5 zenon_H240 zenon_H45 zenon_H15d zenon_H15c zenon_H15b zenon_H13e zenon_H12d zenon_H21b zenon_H214 zenon_H213 zenon_H2c zenon_H1e0 zenon_H14d zenon_H151 zenon_Hd0 zenon_H72 zenon_H80 zenon_H3b zenon_H159 zenon_Hae zenon_Hd4 zenon_H220 zenon_He0 zenon_H208 zenon_H206 zenon_H264 zenon_H58 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_L795_); trivial. % 1.04/1.19 apply (zenon_L294_); trivial. % 1.04/1.19 (* end of lemma zenon_L796_ *) % 1.04/1.19 assert (zenon_L797_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp24)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_H1e0 zenon_H2c zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H7e zenon_H12d zenon_H13e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.19 apply (zenon_L783_); trivial. % 1.04/1.19 apply (zenon_L312_); trivial. % 1.04/1.19 (* end of lemma zenon_L797_ *) % 1.04/1.19 assert (zenon_L798_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp14)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hcf zenon_Haa zenon_H45 zenon_H43 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H13e zenon_H12d zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H2c zenon_H1e0 zenon_H16c zenon_H174 zenon_H16d zenon_H1d3 zenon_H151. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L797_); trivial. % 1.04/1.19 apply (zenon_L185_); trivial. % 1.04/1.19 (* end of lemma zenon_L798_ *) % 1.04/1.19 assert (zenon_L799_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (c2_1 (a143)) -> (c3_1 (a143)) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a143)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_H1b6 zenon_H1b7 zenon_H96 zenon_H1b5 zenon_Hf zenon_H70. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 1.04/1.19 apply (zenon_L757_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5f | zenon_intro zenon_H71 ]. % 1.04/1.19 apply (zenon_L248_); trivial. % 1.04/1.19 exact (zenon_H70 zenon_H71). % 1.04/1.19 (* end of lemma zenon_L799_ *) % 1.04/1.19 assert (zenon_L800_ : ((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H1d5 zenon_H1d9 zenon_Ha5 zenon_H29d zenon_H29e zenon_H29f zenon_H48 zenon_H49 zenon_H4a zenon_H31 zenon_H2c zenon_Hb1 zenon_H98 zenon_H240 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H83 zenon_H8c zenon_H82 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H1da. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1d5). zenon_intro zenon_Hf. zenon_intro zenon_H1d6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1d6). zenon_intro zenon_H1c7. zenon_intro zenon_H1d7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1d7). zenon_intro zenon_H1c6. zenon_intro zenon_H1c5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 1.04/1.19 apply (zenon_L661_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.19 apply (zenon_L90_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H208); [ zenon_intro zenon_H47 | zenon_intro zenon_H209 ]. % 1.04/1.19 apply (zenon_L24_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H209); [ zenon_intro zenon_H95 | zenon_intro zenon_H207 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H31); [ zenon_intro zenon_H10 | zenon_intro zenon_H34 ]. % 1.04/1.19 apply (zenon_L350_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H34); [ zenon_intro zenon_H1b | zenon_intro zenon_H2d ]. % 1.04/1.19 apply (zenon_L160_); trivial. % 1.04/1.19 exact (zenon_H2c zenon_H2d). % 1.04/1.19 exact (zenon_H206 zenon_H207). % 1.04/1.19 apply (zenon_L799_); trivial. % 1.04/1.19 (* end of lemma zenon_L800_ *) % 1.04/1.19 assert (zenon_L801_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(hskp3)) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(hskp0)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(c3_1 (a145))) -> (~(c1_1 (a145))) -> (~(c0_1 (a145))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha4 zenon_H1d8 zenon_H1d9 zenon_Ha5 zenon_H29d zenon_H29e zenon_H29f zenon_H31 zenon_H2c zenon_Hb1 zenon_H98 zenon_H240 zenon_H15d zenon_H15c zenon_H15b zenon_Hfc zenon_Hfa zenon_H103 zenon_H1da zenon_H208 zenon_H206 zenon_Heb zenon_Hec zenon_Hed zenon_H1c1 zenon_H4a zenon_H49 zenon_H48 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H159 zenon_H152. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1d8); [ zenon_intro zenon_H1be | zenon_intro zenon_H1d5 ]. % 1.04/1.19 apply (zenon_L674_); trivial. % 1.04/1.19 apply (zenon_L800_); trivial. % 1.04/1.19 (* end of lemma zenon_L801_ *) % 1.04/1.19 assert (zenon_L802_ : ((ndr1_0)/\((c2_1 (a135))/\((c3_1 (a135))/\(~(c1_1 (a135)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((hskp27)\/(hskp26))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp26))\/((ndr1_0)/\((c2_1 (a196))/\((~(c0_1 (a196)))/\(~(c1_1 (a196))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H168 zenon_H167 zenon_H211 zenon_Hb2 zenon_He3 zenon_H1fd zenon_H31 zenon_Haa zenon_Ha5 zenon_H240 zenon_H45 zenon_H15d zenon_H15c zenon_H15b zenon_H13e zenon_H12d zenon_H21b zenon_H214 zenon_H213 zenon_H2c zenon_H1e0 zenon_H14d zenon_H151 zenon_H1d3 zenon_H16d zenon_H174 zenon_H16c zenon_H159 zenon_Hd4 zenon_H220 zenon_He0 zenon_Hd0 zenon_H152 zenon_H1c1 zenon_H206 zenon_H208 zenon_H1da zenon_H1d9 zenon_H1d8 zenon_H58 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.19 apply (zenon_L793_); trivial. % 1.04/1.19 apply (zenon_L798_); trivial. % 1.04/1.19 apply (zenon_L354_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L788_); trivial. % 1.04/1.19 apply (zenon_L801_); trivial. % 1.04/1.19 apply (zenon_L789_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L790_); trivial. % 1.04/1.19 apply (zenon_L801_); trivial. % 1.04/1.19 apply (zenon_L294_); trivial. % 1.04/1.19 (* end of lemma zenon_L802_ *) % 1.04/1.19 assert (zenon_L803_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (c0_1 (a139)) -> (~(c3_1 (a139))) -> (~(c1_1 (a139))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb2 zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H1e0 zenon_H240 zenon_Hfc zenon_Hfa zenon_H103 zenon_H1e zenon_H1d zenon_H1c zenon_H31 zenon_H151 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H43 zenon_H2c zenon_H45. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L101_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L784_); trivial. % 1.04/1.19 apply (zenon_L185_); trivial. % 1.04/1.19 (* end of lemma zenon_L803_ *) % 1.04/1.19 assert (zenon_L804_ : ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (~(hskp0)) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/(hskp0))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/(hskp3))) -> (~(c1_1 (a139))) -> (~(c3_1 (a139))) -> (c0_1 (a139)) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H58 zenon_H264 zenon_H206 zenon_H208 zenon_H15d zenon_H15c zenon_H15b zenon_H45 zenon_H2c zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H151 zenon_H31 zenon_H1c zenon_H1d zenon_H1e zenon_H103 zenon_Hfa zenon_Hfc zenon_H240 zenon_H1e0 zenon_H29d zenon_H29e zenon_H29f zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H12d zenon_H13e zenon_H159 zenon_Haa zenon_Hb2. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.19 apply (zenon_L803_); trivial. % 1.04/1.19 apply (zenon_L775_); trivial. % 1.04/1.19 (* end of lemma zenon_L804_ *) % 1.04/1.19 assert (zenon_L805_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (ndr1_0) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c3_1 (a125))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp27)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_Hfc zenon_Hfa zenon_H103 zenon_Hf zenon_H220 zenon_H29d zenon_H29f zenon_H29e zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_H1fd zenon_H117. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H273); [ zenon_intro zenon_H91 | zenon_intro zenon_H274 ]. % 1.04/1.19 apply (zenon_L383_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H274); [ zenon_intro zenon_H10 | zenon_intro zenon_H118 ]. % 1.04/1.19 apply (zenon_L764_); trivial. % 1.04/1.19 exact (zenon_H117 zenon_H118). % 1.04/1.19 (* end of lemma zenon_L805_ *) % 1.04/1.19 assert (zenon_L806_ : ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44)))))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp13)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_H62 zenon_H61 zenon_H36 zenon_H60 zenon_Hf zenon_H70. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H220); [ zenon_intro zenon_H222 | zenon_intro zenon_H221 ]. % 1.04/1.19 apply (zenon_L757_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H221); [ zenon_intro zenon_H5f | zenon_intro zenon_H71 ]. % 1.04/1.19 apply (zenon_L31_); trivial. % 1.04/1.19 exact (zenon_H70 zenon_H71). % 1.04/1.19 (* end of lemma zenon_L806_ *) % 1.04/1.19 assert (zenon_L807_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c2_1 (a149))) -> (ndr1_0) -> (c1_1 (a137)) -> (c2_1 (a137)) -> (c3_1 (a137)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H240 zenon_H70 zenon_H60 zenon_H61 zenon_H62 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H98 zenon_H97 zenon_H95 zenon_Hb1 zenon_Hf zenon_H11d zenon_H11e zenon_H11f. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 1.04/1.19 apply (zenon_L806_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 1.04/1.19 apply (zenon_L61_); trivial. % 1.04/1.19 apply (zenon_L86_); trivial. % 1.04/1.19 (* end of lemma zenon_L807_ *) % 1.04/1.19 assert (zenon_L808_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp6))) -> (~(hskp6)) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb2 zenon_H152 zenon_H278 zenon_Ha zenon_H39 zenon_H240 zenon_H268 zenon_H269 zenon_H26a zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H60 zenon_H61 zenon_H62 zenon_H273 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.19 apply (zenon_L805_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H278); [ zenon_intro zenon_H95 | zenon_intro zenon_H279 ]. % 1.04/1.19 apply (zenon_L807_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H279); [ zenon_intro zenon_H3a | zenon_intro zenon_Hb ]. % 1.04/1.19 exact (zenon_H39 zenon_H3a). % 1.04/1.19 exact (zenon_Ha zenon_Hb). % 1.04/1.19 (* end of lemma zenon_L808_ *) % 1.04/1.19 assert (zenon_L809_ : ((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (~(hskp13)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H1c0 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_H70. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1c0). zenon_intro zenon_Hf. zenon_intro zenon_H1c2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1c2). zenon_intro zenon_H1b5. zenon_intro zenon_H1c3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H1c3). zenon_intro zenon_H1b6. zenon_intro zenon_H1b7. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.19 apply (zenon_L90_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.19 apply (zenon_L383_); trivial. % 1.04/1.19 apply (zenon_L799_); trivial. % 1.04/1.19 (* end of lemma zenon_L809_ *) % 1.04/1.19 assert (zenon_L810_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(hskp13)) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Had zenon_H1d9 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H1da zenon_H70 zenon_Ha5. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 1.04/1.19 apply (zenon_L467_); trivial. % 1.04/1.19 apply (zenon_L809_); trivial. % 1.04/1.19 (* end of lemma zenon_L810_ *) % 1.04/1.19 assert (zenon_L811_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb2 zenon_H1d9 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H1da zenon_Ha5 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L760_); trivial. % 1.04/1.19 apply (zenon_L810_); trivial. % 1.04/1.19 (* end of lemma zenon_L811_ *) % 1.04/1.19 assert (zenon_L812_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_Ha5 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L88_); trivial. % 1.04/1.19 apply (zenon_L632_); trivial. % 1.04/1.19 (* end of lemma zenon_L812_ *) % 1.04/1.19 assert (zenon_L813_ : ((ndr1_0)/\((~(c0_1 (a133)))/\((~(c1_1 (a133)))/\(~(c2_1 (a133)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H28f zenon_H28e zenon_H119 zenon_H236 zenon_H29f zenon_H29e zenon_H29d zenon_Hb2 zenon_H1d9 zenon_H268 zenon_H269 zenon_H26a zenon_H1da zenon_Ha5 zenon_H220 zenon_He0 zenon_He3 zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H151 zenon_H14d zenon_H273 zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_H1fd zenon_H211 zenon_H167. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_L811_); trivial. % 1.04/1.19 apply (zenon_L633_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_L811_); trivial. % 1.04/1.19 apply (zenon_L812_); trivial. % 1.04/1.19 (* end of lemma zenon_L813_ *) % 1.04/1.19 assert (zenon_L814_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H28e zenon_H25a zenon_Ha zenon_H236 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_Hb2 zenon_H151 zenon_H1fd zenon_H13f zenon_H12d zenon_H13e zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H273 zenon_H220 zenon_H159 zenon_H26a zenon_H269 zenon_H268 zenon_H152 zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H211 zenon_H167. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.19 apply (zenon_L758_); trivial. % 1.04/1.19 apply (zenon_L522_); trivial. % 1.04/1.19 apply (zenon_L772_); trivial. % 1.04/1.19 (* end of lemma zenon_L814_ *) % 1.04/1.19 assert (zenon_L815_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (~(hskp25)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H13d zenon_H13e zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H12d zenon_H7e zenon_H12b zenon_H13f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H13f); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H142 ]. % 1.04/1.19 apply (zenon_L781_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H142); [ zenon_intro zenon_H11c | zenon_intro zenon_H130 ]. % 1.04/1.19 apply (zenon_L77_); trivial. % 1.04/1.19 exact (zenon_H12f zenon_H130). % 1.04/1.19 apply (zenon_L80_); trivial. % 1.04/1.19 (* end of lemma zenon_L815_ *) % 1.04/1.19 assert (zenon_L816_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H13d zenon_H1fd zenon_H70 zenon_H60 zenon_H61 zenon_H62 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_Hd8 zenon_Hd7 zenon_Hd6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b | zenon_intro zenon_H1fe ]. % 1.04/1.19 apply (zenon_L763_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hf9 ]. % 1.04/1.19 apply (zenon_L58_); trivial. % 1.04/1.19 apply (zenon_L86_); trivial. % 1.04/1.19 (* end of lemma zenon_L816_ *) % 1.04/1.19 assert (zenon_L817_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hdf zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H1fd zenon_Hfc zenon_Hfa zenon_H103 zenon_H29d zenon_H29e zenon_H29f zenon_H60 zenon_H61 zenon_H62 zenon_H70 zenon_H220 zenon_H273. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.19 apply (zenon_L805_); trivial. % 1.04/1.19 apply (zenon_L816_); trivial. % 1.04/1.19 (* end of lemma zenon_L817_ *) % 1.04/1.19 assert (zenon_L818_ : (forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37)))))) -> (ndr1_0) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H192 zenon_Hf zenon_H2ad zenon_H2ae zenon_H2af. % 1.04/1.19 generalize (zenon_H192 (a124)). zenon_intro zenon_H2b0. % 1.04/1.19 apply (zenon_imply_s _ _ zenon_H2b0); [ zenon_intro zenon_He | zenon_intro zenon_H2b1 ]. % 1.04/1.19 exact (zenon_He zenon_Hf). % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b1); [ zenon_intro zenon_H2b3 | zenon_intro zenon_H2b2 ]. % 1.04/1.19 exact (zenon_H2ad zenon_H2b3). % 1.04/1.19 apply (zenon_or_s _ _ zenon_H2b2); [ zenon_intro zenon_H2b5 | zenon_intro zenon_H2b4 ]. % 1.04/1.19 exact (zenon_H2b5 zenon_H2ae). % 1.04/1.19 exact (zenon_H2b4 zenon_H2af). % 1.04/1.19 (* end of lemma zenon_L818_ *) % 1.04/1.19 assert (zenon_L819_ : ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> (c3_1 (a162)) -> (~(c2_1 (a162))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (c0_1 (a162)) -> (ndr1_0) -> (~(hskp7)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H23b zenon_H83 zenon_H8c zenon_H82 zenon_H77 zenon_H75 zenon_H1a0 zenon_H76 zenon_Hf zenon_Hbd. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23b); [ zenon_intro zenon_H153 | zenon_intro zenon_H23c ]. % 1.04/1.19 apply (zenon_L85_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H23c); [ zenon_intro zenon_H11b | zenon_intro zenon_Hbe ]. % 1.04/1.19 apply (zenon_L482_); trivial. % 1.04/1.19 exact (zenon_Hbd zenon_Hbe). % 1.04/1.19 (* end of lemma zenon_L819_ *) % 1.04/1.19 assert (zenon_L820_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp7)) -> (~(c1_1 (a183))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_Hbd zenon_H82 zenon_H8c zenon_H83 zenon_H23b zenon_Hf zenon_H75 zenon_H96 zenon_H76 zenon_H77. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.19 apply (zenon_L818_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.19 apply (zenon_L819_); trivial. % 1.04/1.19 apply (zenon_L484_); trivial. % 1.04/1.19 (* end of lemma zenon_L820_ *) % 1.04/1.19 assert (zenon_L821_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H23b zenon_Hbd zenon_H1a3 zenon_H39 zenon_H3e zenon_H3b zenon_H80. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L38_); trivial. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.19 apply (zenon_L41_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.19 apply (zenon_L43_); trivial. % 1.04/1.19 apply (zenon_L820_); trivial. % 1.04/1.19 (* end of lemma zenon_L821_ *) % 1.04/1.19 assert (zenon_L822_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hae zenon_Haa zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H23b zenon_Hbd zenon_H1a3 zenon_H80 zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_Hf zenon_H39 zenon_H3b zenon_H3e. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.19 apply (zenon_L35_); trivial. % 1.04/1.19 apply (zenon_L821_); trivial. % 1.04/1.19 (* end of lemma zenon_L822_ *) % 1.04/1.19 assert (zenon_L823_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a150)) -> (c3_1 (a150)) -> False). % 1.04/1.19 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_Hf9 zenon_H132 zenon_H133. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.19 apply (zenon_L818_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.19 apply (zenon_L117_); trivial. % 1.04/1.19 apply (zenon_L158_); trivial. % 1.04/1.19 (* end of lemma zenon_L823_ *) % 1.04/1.19 assert (zenon_L824_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H13a zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H83 zenon_H8c zenon_H82 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 1.04/1.19 apply (zenon_L50_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 1.04/1.19 apply (zenon_L85_); trivial. % 1.04/1.19 apply (zenon_L823_); trivial. % 1.04/1.19 (* end of lemma zenon_L824_ *) % 1.04/1.19 assert (zenon_L825_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha4 zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 1.04/1.19 apply (zenon_L132_); trivial. % 1.04/1.19 apply (zenon_L824_); trivial. % 1.04/1.19 (* end of lemma zenon_L825_ *) % 1.04/1.19 assert (zenon_L826_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Had zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0 zenon_H80 zenon_H3b zenon_H39 zenon_Ha3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L63_); trivial. % 1.04/1.19 apply (zenon_L825_); trivial. % 1.04/1.19 (* end of lemma zenon_L826_ *) % 1.04/1.19 assert (zenon_L827_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H2c zenon_H1e0 zenon_H80 zenon_H3b zenon_H39 zenon_Ha3 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L60_); trivial. % 1.04/1.19 apply (zenon_L826_); trivial. % 1.04/1.19 (* end of lemma zenon_L827_ *) % 1.04/1.19 assert (zenon_L828_ : ((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp7)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H255 zenon_H211 zenon_Hb2 zenon_H13e zenon_H159 zenon_H2c zenon_H1e0 zenon_Ha3 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_He0 zenon_He3 zenon_H3e zenon_H3b zenon_H39 zenon_H72 zenon_H80 zenon_H1a3 zenon_Hbd zenon_H23b zenon_H2af zenon_H2ae zenon_H2ad zenon_Ha5 zenon_Haa zenon_Hae. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_L822_); trivial. % 1.04/1.19 apply (zenon_L827_); trivial. % 1.04/1.19 (* end of lemma zenon_L828_ *) % 1.04/1.19 assert (zenon_L829_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp4)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H2c zenon_H1e0 zenon_H80 zenon_H3b zenon_H39 zenon_Ha3 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.19 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L88_); trivial. % 1.04/1.19 apply (zenon_L826_); trivial. % 1.04/1.19 (* end of lemma zenon_L829_ *) % 1.04/1.19 assert (zenon_L830_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((hskp12)\/((hskp5)\/(hskp15))) -> (~(hskp5)) -> (~(hskp12)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H211 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H2c zenon_H1e0 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_He0 zenon_He3 zenon_H5d zenon_H3b zenon_H59 zenon_H3e zenon_H39 zenon_H60 zenon_H61 zenon_H62 zenon_H72 zenon_H80 zenon_Ha3 zenon_Ha5 zenon_Haa zenon_Hae zenon_Hb2. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.19 apply (zenon_L49_); trivial. % 1.04/1.19 apply (zenon_L829_); trivial. % 1.04/1.19 (* end of lemma zenon_L830_ *) % 1.04/1.19 assert (zenon_L831_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 1.04/1.19 do 0 intro. intros zenon_Had zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H16c zenon_H174 zenon_H16d. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.19 apply (zenon_L818_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.19 apply (zenon_L117_); trivial. % 1.04/1.19 apply (zenon_L114_); trivial. % 1.04/1.19 (* end of lemma zenon_L831_ *) % 1.04/1.19 assert (zenon_L832_ : ((ndr1_0)/\((c1_1 (a131))/\((c3_1 (a131))/\(~(c2_1 (a131)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((forall V : zenon_U, ((ndr1_0)->((c0_1 V)\/((c1_1 V)\/(c3_1 V)))))\/((hskp1)\/(hskp2))) -> (~(hskp2)) -> (~(hskp1)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H2b6 zenon_H58 zenon_H54 zenon_H51 zenon_H2a zenon_H45 zenon_H2c zenon_He0 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Hb2. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L101_); trivial. % 1.04/1.19 apply (zenon_L831_); trivial. % 1.04/1.19 apply (zenon_L26_); trivial. % 1.04/1.19 (* end of lemma zenon_L832_ *) % 1.04/1.19 assert (zenon_L833_ : ((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c3_1 (a183))) -> (~(c2_1 (a183))) -> (~(c1_1 (a183))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> False). % 1.04/1.19 do 0 intro. intros zenon_H13a zenon_H159 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H83 zenon_H8c zenon_H82 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13a). zenon_intro zenon_Hf. zenon_intro zenon_H13b. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13b). zenon_intro zenon_H131. zenon_intro zenon_H13c. % 1.04/1.19 apply (zenon_and_s _ _ zenon_H13c). zenon_intro zenon_H132. zenon_intro zenon_H133. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 1.04/1.19 apply (zenon_L168_); trivial. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 1.04/1.19 apply (zenon_L85_); trivial. % 1.04/1.19 apply (zenon_L823_); trivial. % 1.04/1.19 (* end of lemma zenon_L833_ *) % 1.04/1.19 assert (zenon_L834_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha4 zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 1.04/1.19 apply (zenon_L205_); trivial. % 1.04/1.19 apply (zenon_L833_); trivial. % 1.04/1.19 (* end of lemma zenon_L834_ *) % 1.04/1.19 assert (zenon_L835_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Had zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L191_); trivial. % 1.04/1.19 apply (zenon_L834_); trivial. % 1.04/1.19 (* end of lemma zenon_L835_ *) % 1.04/1.19 assert (zenon_L836_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Hb2 zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H13f zenon_H59 zenon_H236 zenon_H220 zenon_H23b zenon_H13e zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.19 apply (zenon_L216_); trivial. % 1.04/1.19 apply (zenon_L835_); trivial. % 1.04/1.19 (* end of lemma zenon_L836_ *) % 1.04/1.19 assert (zenon_L837_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Ha4 zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.19 apply (zenon_or_s _ _ zenon_H13e); [ zenon_intro zenon_H12f | zenon_intro zenon_H13a ]. % 1.04/1.19 apply (zenon_L223_); trivial. % 1.04/1.19 apply (zenon_L824_); trivial. % 1.04/1.19 (* end of lemma zenon_L837_ *) % 1.04/1.19 assert (zenon_L838_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 1.04/1.19 do 0 intro. intros zenon_Had zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.19 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.19 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.19 apply (zenon_L191_); trivial. % 1.04/1.19 apply (zenon_L837_); trivial. % 1.04/1.19 (* end of lemma zenon_L838_ *) % 1.04/1.19 assert (zenon_L839_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (ndr1_0) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Hf zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L60_); trivial. % 1.04/1.20 apply (zenon_L838_); trivial. % 1.04/1.20 (* end of lemma zenon_L839_ *) % 1.04/1.20 assert (zenon_L840_ : (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H198 zenon_Hf zenon_Hf9 zenon_Hfa zenon_Hfc. % 1.04/1.20 generalize (zenon_H198 (a140)). zenon_intro zenon_H2b9. % 1.04/1.20 apply (zenon_imply_s _ _ zenon_H2b9); [ zenon_intro zenon_He | zenon_intro zenon_H2ba ]. % 1.04/1.20 exact (zenon_He zenon_Hf). % 1.04/1.20 apply (zenon_or_s _ _ zenon_H2ba); [ zenon_intro zenon_Hfb | zenon_intro zenon_H25f ]. % 1.04/1.20 apply (zenon_L67_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H25f); [ zenon_intro zenon_H100 | zenon_intro zenon_H101 ]. % 1.04/1.20 exact (zenon_H100 zenon_Hfa). % 1.04/1.20 exact (zenon_H101 zenon_Hfc). % 1.04/1.20 (* end of lemma zenon_L840_ *) % 1.04/1.20 assert (zenon_L841_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_Hf9 zenon_Hfa zenon_Hfc. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.20 apply (zenon_L117_); trivial. % 1.04/1.20 apply (zenon_L840_); trivial. % 1.04/1.20 (* end of lemma zenon_L841_ *) % 1.04/1.20 assert (zenon_L842_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha4 zenon_H159 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hfa zenon_Hfc. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 1.04/1.20 apply (zenon_L168_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 1.04/1.20 apply (zenon_L85_); trivial. % 1.04/1.20 apply (zenon_L841_); trivial. % 1.04/1.20 (* end of lemma zenon_L842_ *) % 1.04/1.20 assert (zenon_L843_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L191_); trivial. % 1.04/1.20 apply (zenon_L842_); trivial. % 1.04/1.20 (* end of lemma zenon_L843_ *) % 1.04/1.20 assert (zenon_L844_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha4 zenon_H159 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hfa zenon_Hfc. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 1.04/1.20 apply (zenon_L50_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 1.04/1.20 apply (zenon_L85_); trivial. % 1.04/1.20 apply (zenon_L841_); trivial. % 1.04/1.20 (* end of lemma zenon_L844_ *) % 1.04/1.20 assert (zenon_L845_ : ((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c1_1 (a151)) -> (c0_1 (a151)) -> (~(c2_1 (a151))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H14c zenon_H1fd zenon_Hd8 zenon_Hd7 zenon_Hd6 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hfa zenon_Hfc. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14c). zenon_intro zenon_Hf. zenon_intro zenon_H14e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14e). zenon_intro zenon_H145. zenon_intro zenon_H14f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H14f). zenon_intro zenon_H143. zenon_intro zenon_H144. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b | zenon_intro zenon_H1fe ]. % 1.04/1.20 apply (zenon_L82_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hf9 ]. % 1.04/1.20 apply (zenon_L58_); trivial. % 1.04/1.20 apply (zenon_L841_); trivial. % 1.04/1.20 (* end of lemma zenon_L845_ *) % 1.04/1.20 assert (zenon_L846_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0 zenon_H1a3 zenon_Hfc zenon_Hfa zenon_H98 zenon_Hb1 zenon_H97 zenon_H2af zenon_H2ae zenon_H2ad zenon_H1fd zenon_H151. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.20 apply (zenon_L133_); trivial. % 1.04/1.20 apply (zenon_L845_); trivial. % 1.04/1.20 apply (zenon_L844_); trivial. % 1.04/1.20 (* end of lemma zenon_L846_ *) % 1.04/1.20 assert (zenon_L847_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H13e zenon_H12d zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H2c zenon_H1e0 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L134_); trivial. % 1.04/1.20 apply (zenon_L844_); trivial. % 1.04/1.20 apply (zenon_L56_); trivial. % 1.04/1.20 apply (zenon_L846_); trivial. % 1.04/1.20 (* end of lemma zenon_L847_ *) % 1.04/1.20 assert (zenon_L848_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H13e zenon_H12d zenon_H2c zenon_H1e0 zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L60_); trivial. % 1.04/1.20 apply (zenon_L847_); trivial. % 1.04/1.20 (* end of lemma zenon_L848_ *) % 1.04/1.20 assert (zenon_L849_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L283_); trivial. % 1.04/1.20 apply (zenon_L835_); trivial. % 1.04/1.20 (* end of lemma zenon_L849_ *) % 1.04/1.20 assert (zenon_L850_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L88_); trivial. % 1.04/1.20 apply (zenon_L838_); trivial. % 1.04/1.20 (* end of lemma zenon_L850_ *) % 1.04/1.20 assert (zenon_L851_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L283_); trivial. % 1.04/1.20 apply (zenon_L843_); trivial. % 1.04/1.20 (* end of lemma zenon_L851_ *) % 1.04/1.20 assert (zenon_L852_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H2c zenon_H1e0 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L88_); trivial. % 1.04/1.20 apply (zenon_L847_); trivial. % 1.04/1.20 (* end of lemma zenon_L852_ *) % 1.04/1.20 assert (zenon_L853_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp4)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H23b zenon_Hbd zenon_H1a3 zenon_H26a zenon_H269 zenon_H268 zenon_H39 zenon_H3e zenon_H3b zenon_H80. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L38_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.20 apply (zenon_L41_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.20 apply (zenon_L383_); trivial. % 1.04/1.20 apply (zenon_L820_); trivial. % 1.04/1.20 (* end of lemma zenon_L853_ *) % 1.04/1.20 assert (zenon_L854_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> (~(hskp7)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c2_1 (a136)) -> (~(c3_1 (a136))) -> (c0_1 (a136)) -> (ndr1_0) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((hskp4)\/(hskp5))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hae zenon_Haa zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H23b zenon_Hbd zenon_H1a3 zenon_H26a zenon_H269 zenon_H268 zenon_H80 zenon_H72 zenon_H70 zenon_H62 zenon_H61 zenon_H60 zenon_Hf zenon_H39 zenon_H3b zenon_H3e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L35_); trivial. % 1.04/1.20 apply (zenon_L853_); trivial. % 1.04/1.20 (* end of lemma zenon_L854_ *) % 1.04/1.20 assert (zenon_L855_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c1_1 (a149))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_H1a3 zenon_Hfc zenon_Hfa zenon_H97 zenon_H2af zenon_H2ae zenon_H2ad zenon_H1fd zenon_H151. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.20 apply (zenon_L506_); trivial. % 1.04/1.20 apply (zenon_L845_); trivial. % 1.04/1.20 apply (zenon_L844_); trivial. % 1.04/1.20 (* end of lemma zenon_L855_ *) % 1.04/1.20 assert (zenon_L856_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L557_); trivial. % 1.04/1.20 apply (zenon_L844_); trivial. % 1.04/1.20 apply (zenon_L56_); trivial. % 1.04/1.20 apply (zenon_L855_); trivial. % 1.04/1.20 (* end of lemma zenon_L856_ *) % 1.04/1.20 assert (zenon_L857_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L60_); trivial. % 1.04/1.20 apply (zenon_L856_); trivial. % 1.04/1.20 (* end of lemma zenon_L857_ *) % 1.04/1.20 assert (zenon_L858_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_Ha3 zenon_H39 zenon_H3b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.20 apply (zenon_L90_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.20 apply (zenon_L383_); trivial. % 1.04/1.20 apply (zenon_L45_); trivial. % 1.04/1.20 (* end of lemma zenon_L858_ *) % 1.04/1.20 assert (zenon_L859_ : ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(hskp1)) -> (ndr1_0) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp9)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H271 zenon_H26a zenon_H269 zenon_H268 zenon_H2a zenon_Hf zenon_H103 zenon_Hfa zenon_Hfc zenon_H95 zenon_Heb zenon_Hec zenon_Hed zenon_H108 zenon_H6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H91 | zenon_intro zenon_H272 ]. % 1.04/1.20 apply (zenon_L383_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H10 | zenon_intro zenon_H7 ]. % 1.04/1.20 apply (zenon_L69_); trivial. % 1.04/1.20 exact (zenon_H6 zenon_H7). % 1.04/1.20 (* end of lemma zenon_L859_ *) % 1.04/1.20 assert (zenon_L860_ : ((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp9)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (c2_1 (a135)) -> (c3_1 (a135)) -> (~(c1_1 (a135))) -> (~(hskp1)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(hskp4)) -> (~(hskp5)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H10a zenon_Ha3 zenon_H6 zenon_H108 zenon_Hed zenon_Hec zenon_Heb zenon_H2a zenon_H268 zenon_H269 zenon_H26a zenon_H271 zenon_H39 zenon_H3b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 1.04/1.20 apply (zenon_L859_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 1.04/1.20 exact (zenon_H39 zenon_H3a). % 1.04/1.20 exact (zenon_H3b zenon_H3c). % 1.04/1.20 (* end of lemma zenon_L860_ *) % 1.04/1.20 assert (zenon_L861_ : ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> (~(hskp1)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H152 zenon_Ha3 zenon_H3b zenon_H39 zenon_Heb zenon_Hec zenon_Hed zenon_H2a zenon_H108 zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.20 apply (zenon_L74_); trivial. % 1.04/1.20 apply (zenon_L394_); trivial. % 1.04/1.20 (* end of lemma zenon_L861_ *) % 1.04/1.20 assert (zenon_L862_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hf zenon_H75 zenon_H96 zenon_H76 zenon_H77. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.20 apply (zenon_L117_); trivial. % 1.04/1.20 apply (zenon_L484_); trivial. % 1.04/1.20 (* end of lemma zenon_L862_ *) % 1.04/1.20 assert (zenon_L863_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha9 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.20 apply (zenon_L90_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.20 apply (zenon_L383_); trivial. % 1.04/1.20 apply (zenon_L862_); trivial. % 1.04/1.20 (* end of lemma zenon_L863_ *) % 1.04/1.20 assert (zenon_L864_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_Hae zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Ha5 zenon_H70 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H1d9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L468_); trivial. % 1.04/1.20 apply (zenon_L863_); trivial. % 1.04/1.20 (* end of lemma zenon_L864_ *) % 1.04/1.20 assert (zenon_L865_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha9 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H5b zenon_H226 zenon_H258 zenon_H16c zenon_H174 zenon_H16d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.20 apply (zenon_L483_); trivial. % 1.04/1.20 apply (zenon_L114_); trivial. % 1.04/1.20 (* end of lemma zenon_L865_ *) % 1.04/1.20 assert (zenon_L866_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H2af zenon_H2ae zenon_H2ad zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L60_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 (* end of lemma zenon_L866_ *) % 1.04/1.20 assert (zenon_L867_ : ((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp1)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H13d zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H2a zenon_H22a zenon_H248 zenon_H22b zenon_H108 zenon_H16c zenon_H174 zenon_H16d. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H13d). zenon_intro zenon_Hf. zenon_intro zenon_H140. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H140). zenon_intro zenon_H11d. zenon_intro zenon_H141. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H141). zenon_intro zenon_H11e. zenon_intro zenon_H11f. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.20 apply (zenon_L489_); trivial. % 1.04/1.20 apply (zenon_L114_); trivial. % 1.04/1.20 (* end of lemma zenon_L867_ *) % 1.04/1.20 assert (zenon_L868_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24d zenon_Hb2 zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H26a zenon_H269 zenon_H268 zenon_H2ad zenon_H2ae zenon_H2af zenon_H108 zenon_H2a zenon_H1a3 zenon_H152. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.20 apply (zenon_L399_); trivial. % 1.04/1.20 apply (zenon_L867_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 (* end of lemma zenon_L868_ *) % 1.04/1.20 assert (zenon_L869_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H273 zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H226 zenon_H258 zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L594_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 (* end of lemma zenon_L869_ *) % 1.04/1.20 assert (zenon_L870_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/((forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27))))))\/(hskp1))) -> (~(hskp1)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H24d zenon_Hb2 zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H2ad zenon_H2ae zenon_H2af zenon_H108 zenon_H2a zenon_H16c zenon_H174 zenon_H16d zenon_H1a3 zenon_H152. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.20 apply (zenon_L74_); trivial. % 1.04/1.20 apply (zenon_L867_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 (* end of lemma zenon_L870_ *) % 1.04/1.20 assert (zenon_L871_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H5b zenon_H226 zenon_H258 zenon_Hf zenon_H75 zenon_H96 zenon_H76 zenon_H77. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.20 apply (zenon_L483_); trivial. % 1.04/1.20 apply (zenon_L484_); trivial. % 1.04/1.20 (* end of lemma zenon_L871_ *) % 1.04/1.20 assert (zenon_L872_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha9 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H5b zenon_H226 zenon_H258. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.20 apply (zenon_L90_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.20 apply (zenon_L383_); trivial. % 1.04/1.20 apply (zenon_L871_); trivial. % 1.04/1.20 (* end of lemma zenon_L872_ *) % 1.04/1.20 assert (zenon_L873_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H211 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H273 zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He3 zenon_Hae zenon_H2ad zenon_H2ae zenon_H2af zenon_H258 zenon_H226 zenon_H1a3 zenon_H1da zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H72 zenon_Ha5 zenon_H1d9 zenon_Hb2. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L465_); trivial. % 1.04/1.20 apply (zenon_L872_); trivial. % 1.04/1.20 apply (zenon_L864_); trivial. % 1.04/1.20 apply (zenon_L869_); trivial. % 1.04/1.20 (* end of lemma zenon_L873_ *) % 1.04/1.20 assert (zenon_L874_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_Hb1 zenon_H98 zenon_H1a3 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_H3b zenon_H80. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L38_); trivial. % 1.04/1.20 apply (zenon_L834_); trivial. % 1.04/1.20 (* end of lemma zenon_L874_ *) % 1.04/1.20 assert (zenon_L875_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_H151 zenon_H1fd zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H12d zenon_H152 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H13f zenon_H59 zenon_H236 zenon_H220 zenon_H23b zenon_H13e zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L216_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_L215_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L518_); trivial. % 1.04/1.20 apply (zenon_L834_); trivial. % 1.04/1.20 apply (zenon_L874_); trivial. % 1.04/1.20 (* end of lemma zenon_L875_ *) % 1.04/1.20 assert (zenon_L876_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H98 zenon_Hb1 zenon_H273 zenon_H1fd zenon_H151. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L508_); trivial. % 1.04/1.20 apply (zenon_L837_); trivial. % 1.04/1.20 (* end of lemma zenon_L876_ *) % 1.04/1.20 assert (zenon_L877_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H211 zenon_He3 zenon_He0 zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H59 zenon_H13f zenon_H3b zenon_H80 zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H152 zenon_H12d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H1fd zenon_H151 zenon_Hb2. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_L875_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L60_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_L57_); trivial. % 1.04/1.20 apply (zenon_L876_); trivial. % 1.04/1.20 (* end of lemma zenon_L877_ *) % 1.04/1.20 assert (zenon_L878_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H167 zenon_H14d zenon_Hb2 zenon_H151 zenon_H1fd zenon_H273 zenon_H26a zenon_H269 zenon_H268 zenon_H12d zenon_H152 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H13f zenon_H236 zenon_H220 zenon_H23b zenon_H13e zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H211. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.20 apply (zenon_L877_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_L520_); trivial. % 1.04/1.20 apply (zenon_L857_); trivial. % 1.04/1.20 (* end of lemma zenon_L878_ *) % 1.04/1.20 assert (zenon_L879_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_He3 zenon_H1fd zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_H152 zenon_H25a zenon_Ha zenon_H12d zenon_H110 zenon_H10f zenon_H10e zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd0 zenon_H72 zenon_Hae zenon_Hd4. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L535_); trivial. % 1.04/1.20 apply (zenon_L834_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L187_); trivial. % 1.04/1.20 apply (zenon_L874_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L544_); trivial. % 1.04/1.20 apply (zenon_L834_); trivial. % 1.04/1.20 (* end of lemma zenon_L879_ *) % 1.04/1.20 assert (zenon_L880_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H25a zenon_Ha zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L88_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L535_); trivial. % 1.04/1.20 apply (zenon_L837_); trivial. % 1.04/1.20 apply (zenon_L56_); trivial. % 1.04/1.20 apply (zenon_L876_); trivial. % 1.04/1.20 (* end of lemma zenon_L880_ *) % 1.04/1.20 assert (zenon_L881_ : ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((forall X21 : zenon_U, ((ndr1_0)->((c0_1 X21)\/((~(c1_1 X21))\/(~(c3_1 X21))))))\/(hskp6))) -> (~(hskp6)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H28e zenon_H25a zenon_Ha zenon_H119 zenon_H211 zenon_He3 zenon_He0 zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H13f zenon_H3b zenon_H80 zenon_H72 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H152 zenon_H12d zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H1fd zenon_H151 zenon_Hb2 zenon_H14d zenon_H167. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.20 apply (zenon_L878_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L283_); trivial. % 1.04/1.20 apply (zenon_L879_); trivial. % 1.04/1.20 apply (zenon_L880_); trivial. % 1.04/1.20 apply (zenon_L268_); trivial. % 1.04/1.20 (* end of lemma zenon_L881_ *) % 1.04/1.20 assert (zenon_L882_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Ha5 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H1d9 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L283_); trivial. % 1.04/1.20 apply (zenon_L864_); trivial. % 1.04/1.20 (* end of lemma zenon_L882_ *) % 1.04/1.20 assert (zenon_L883_ : ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c3_1 (a162)) -> (~(c2_1 (a162))) -> (forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38)))))) -> (c0_1 (a162)) -> (ndr1_0) -> (~(hskp25)) -> (~(hskp24)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H12d zenon_H77 zenon_H75 zenon_H1a0 zenon_H76 zenon_Hf zenon_H12b zenon_H7e. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12d); [ zenon_intro zenon_H11b | zenon_intro zenon_H12e ]. % 1.04/1.20 apply (zenon_L482_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H12e); [ zenon_intro zenon_H12c | zenon_intro zenon_H7f ]. % 1.04/1.20 exact (zenon_H12b zenon_H12c). % 1.04/1.20 exact (zenon_H7e zenon_H7f). % 1.04/1.20 (* end of lemma zenon_L883_ *) % 1.04/1.20 assert (zenon_L884_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp24)) -> (~(hskp25)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> (c3_1 (a162)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> False). % 1.04/1.20 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H7e zenon_H12b zenon_H76 zenon_H75 zenon_H77 zenon_H12d zenon_Hf zenon_H16c zenon_H174 zenon_H16d. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.20 apply (zenon_L818_); trivial. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.20 apply (zenon_L883_); trivial. % 1.04/1.20 apply (zenon_L114_); trivial. % 1.04/1.20 (* end of lemma zenon_L884_ *) % 1.04/1.20 assert (zenon_L885_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> (ndr1_0) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (c3_1 (a162)) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_Hf zenon_H2ad zenon_H2ae zenon_H2af zenon_H12d zenon_H7e zenon_H77 zenon_H75 zenon_H76 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.20 apply (zenon_L884_); trivial. % 1.04/1.20 apply (zenon_L83_); trivial. % 1.04/1.20 (* end of lemma zenon_L885_ *) % 1.04/1.20 assert (zenon_L886_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hae zenon_Haa zenon_H13e zenon_H23b zenon_H220 zenon_H236 zenon_H59 zenon_H13f zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H12d zenon_H2af zenon_H2ae zenon_H2ad zenon_Hcd zenon_H14d zenon_H151 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hbf zenon_Hc1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L183_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L885_); trivial. % 1.04/1.20 apply (zenon_L212_); trivial. % 1.04/1.20 (* end of lemma zenon_L886_ *) % 1.04/1.20 assert (zenon_L887_ : ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a158)) -> (~(c3_1 (a158))) -> (~(c2_1 (a158))) -> (ndr1_0) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(hskp24)) -> (c3_1 (a162)) -> (~(c2_1 (a162))) -> (c0_1 (a162)) -> (~(c2_1 (a131))) -> (c1_1 (a131)) -> (c3_1 (a131)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H151 zenon_H1d3 zenon_Hc6 zenon_Hc5 zenon_Hc4 zenon_Hf zenon_H2ad zenon_H2ae zenon_H2af zenon_H12d zenon_H7e zenon_H77 zenon_H75 zenon_H76 zenon_H16c zenon_H174 zenon_H16d zenon_H1a3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.20 apply (zenon_L884_); trivial. % 1.04/1.20 apply (zenon_L312_); trivial. % 1.04/1.20 (* end of lemma zenon_L887_ *) % 1.04/1.20 assert (zenon_L888_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp16)) -> (~(hskp17)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H273 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H12d zenon_H2af zenon_H2ae zenon_H2ad zenon_Hcd zenon_Hbf zenon_H14d zenon_H151. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L885_); trivial. % 1.04/1.20 apply (zenon_L513_); trivial. % 1.04/1.20 (* end of lemma zenon_L888_ *) % 1.04/1.20 assert (zenon_L889_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp16)) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> (~(hskp17)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hae zenon_Haa zenon_H152 zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H273 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H12d zenon_H2af zenon_H2ae zenon_H2ad zenon_Hcd zenon_H14d zenon_H151 zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hbf zenon_Hc1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L183_); trivial. % 1.04/1.20 apply (zenon_L888_); trivial. % 1.04/1.20 (* end of lemma zenon_L889_ *) % 1.04/1.20 assert (zenon_L890_ : ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> (~(hskp17)) -> (~(hskp16)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(hskp15)) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hae zenon_H220 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H2af zenon_H2ae zenon_H2ad zenon_H151 zenon_H14d zenon_Hbf zenon_Hcd zenon_H119 zenon_H5b zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L279_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L885_); trivial. % 1.04/1.20 apply (zenon_L281_); trivial. % 1.04/1.20 (* end of lemma zenon_L890_ *) % 1.04/1.20 assert (zenon_L891_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H2af zenon_H2ae zenon_H2ad zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L88_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 (* end of lemma zenon_L891_ *) % 1.04/1.20 assert (zenon_L892_ : ((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H275 zenon_H211 zenon_He3 zenon_He0 zenon_Hae zenon_H220 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H2af zenon_H2ae zenon_H2ad zenon_H151 zenon_H14d zenon_H119 zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hd0 zenon_H1d3 zenon_Hd4 zenon_Hb2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.20 apply (zenon_L890_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.20 apply (zenon_L187_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L887_); trivial. % 1.04/1.20 apply (zenon_L281_); trivial. % 1.04/1.20 apply (zenon_L59_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 apply (zenon_L891_); trivial. % 1.04/1.20 (* end of lemma zenon_L892_ *) % 1.04/1.20 assert (zenon_L893_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (c1_1 (a131)) -> (c3_1 (a131)) -> (~(c2_1 (a131))) -> (ndr1_0) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Hb2 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H174 zenon_H16d zenon_H16c zenon_Hf zenon_H70 zenon_H1da zenon_He3. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L646_); trivial. % 1.04/1.20 apply (zenon_L831_); trivial. % 1.04/1.20 (* end of lemma zenon_L893_ *) % 1.04/1.20 assert (zenon_L894_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (ndr1_0) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H211 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He3 zenon_H1da zenon_Hf zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Hb2. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_L893_); trivial. % 1.04/1.20 apply (zenon_L866_); trivial. % 1.04/1.20 (* end of lemma zenon_L894_ *) % 1.04/1.20 assert (zenon_L895_ : ((ndr1_0)/\((c1_1 (a131))/\((c3_1 (a131))/\(~(c2_1 (a131)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H2b6 zenon_H28e zenon_H151 zenon_H14d zenon_H119 zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hb2 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H1da zenon_He3 zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H211. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.20 apply (zenon_L894_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_L893_); trivial. % 1.04/1.20 apply (zenon_L891_); trivial. % 1.04/1.20 (* end of lemma zenon_L895_ *) % 1.04/1.20 assert (zenon_L896_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H236 zenon_H59 zenon_H13f zenon_H80 zenon_H3b zenon_H48 zenon_H49 zenon_H4a zenon_H292 zenon_H293 zenon_H294 zenon_H264. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L636_); trivial. % 1.04/1.20 apply (zenon_L834_); trivial. % 1.04/1.20 (* end of lemma zenon_L896_ *) % 1.04/1.20 assert (zenon_L897_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_Had zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H80 zenon_H3b zenon_H48 zenon_H49 zenon_H4a zenon_H292 zenon_H293 zenon_H294 zenon_H264. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.20 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.20 apply (zenon_L636_); trivial. % 1.04/1.20 apply (zenon_L837_); trivial. % 1.04/1.20 (* end of lemma zenon_L897_ *) % 1.04/1.20 assert (zenon_L898_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_Haa zenon_H13e zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H13f zenon_H80 zenon_H3b zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_Hd4 zenon_Hd0 zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L60_); trivial. % 1.04/1.20 apply (zenon_L897_); trivial. % 1.04/1.20 (* end of lemma zenon_L898_ *) % 1.04/1.20 assert (zenon_L899_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_He7 zenon_H58 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_H45 zenon_H2c zenon_H3b zenon_H80 zenon_H13f zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_H13e zenon_Haa zenon_Hb2. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.20 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.20 apply (zenon_L839_); trivial. % 1.04/1.20 apply (zenon_L898_); trivial. % 1.04/1.20 (* end of lemma zenon_L899_ *) % 1.04/1.20 assert (zenon_L900_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 1.04/1.20 do 0 intro. intros zenon_H211 zenon_Hb2 zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H13f zenon_H59 zenon_H236 zenon_H220 zenon_H23b zenon_H13e zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H58. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.20 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.20 apply (zenon_L836_); trivial. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.20 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.20 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.20 apply (zenon_L216_); trivial. % 1.04/1.20 apply (zenon_L896_); trivial. % 1.04/1.20 apply (zenon_L899_); trivial. % 1.04/1.20 (* end of lemma zenon_L900_ *) % 1.04/1.20 assert (zenon_L901_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H43 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H1da zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L666_); trivial. % 1.04/1.21 apply (zenon_L843_); trivial. % 1.04/1.21 (* end of lemma zenon_L901_ *) % 1.04/1.21 assert (zenon_L902_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c0_1 (a145))) -> (~(c1_1 (a145))) -> (~(c3_1 (a145))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Had zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H220 zenon_H80 zenon_H3b zenon_H48 zenon_H49 zenon_H4a zenon_H292 zenon_H293 zenon_H294 zenon_H264. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L636_); trivial. % 1.04/1.21 apply (zenon_L842_); trivial. % 1.04/1.21 (* end of lemma zenon_L902_ *) % 1.04/1.21 assert (zenon_L903_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(hskp13)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H264 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_H213 zenon_H214 zenon_H21b zenon_H70 zenon_H72 zenon_H80 zenon_H3b zenon_H1da zenon_H220 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_Haa zenon_Hae zenon_He0 zenon_He3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L666_); trivial. % 1.04/1.21 apply (zenon_L902_); trivial. % 1.04/1.21 (* end of lemma zenon_L903_ *) % 1.04/1.21 assert (zenon_L904_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_Hd4 zenon_Hd0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_H80 zenon_H3b zenon_H220 zenon_Hae zenon_He0 zenon_He3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L283_); trivial. % 1.04/1.21 apply (zenon_L896_); trivial. % 1.04/1.21 (* end of lemma zenon_L904_ *) % 1.04/1.21 assert (zenon_L905_ : ((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (~(hskp12)) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H53 zenon_Hb2 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H236 zenon_H59 zenon_H214 zenon_H21b zenon_H213 zenon_H80 zenon_H3b zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L88_); trivial. % 1.04/1.21 apply (zenon_L897_); trivial. % 1.04/1.21 (* end of lemma zenon_L905_ *) % 1.04/1.21 assert (zenon_L906_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a130))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_He7 zenon_H58 zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H45 zenon_H2c zenon_H3b zenon_H80 zenon_H213 zenon_H21b zenon_H214 zenon_H59 zenon_H236 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_Hb2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.21 apply (zenon_L850_); trivial. % 1.04/1.21 apply (zenon_L905_); trivial. % 1.04/1.21 (* end of lemma zenon_L906_ *) % 1.04/1.21 assert (zenon_L907_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/(hskp7))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H211 zenon_Hb2 zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H2c zenon_H45 zenon_Hd4 zenon_Hd0 zenon_Hc1 zenon_Hbd zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H80 zenon_H3b zenon_H13f zenon_H59 zenon_H236 zenon_H220 zenon_H23b zenon_H13e zenon_Haa zenon_Hae zenon_He0 zenon_He3 zenon_H15b zenon_H15c zenon_H15d zenon_H292 zenon_H293 zenon_H294 zenon_H264 zenon_H58. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.21 apply (zenon_L836_); trivial. % 1.04/1.21 apply (zenon_L656_); trivial. % 1.04/1.21 apply (zenon_L899_); trivial. % 1.04/1.21 (* end of lemma zenon_L907_ *) % 1.04/1.21 assert (zenon_L908_ : ((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c2_1 (a144)) -> (~(c3_1 (a144))) -> (~(c0_1 (a144))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> (~(hskp14)) -> (~(hskp3)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Had zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_Hb6 zenon_Hb5 zenon_Hb4 zenon_H80 zenon_H3b zenon_H43 zenon_H2c zenon_H45. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L191_); trivial. % 1.04/1.21 apply (zenon_L844_); trivial. % 1.04/1.21 (* end of lemma zenon_L908_ *) % 1.04/1.21 assert (zenon_L909_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_H45 zenon_H2c zenon_H3b zenon_H80 zenon_H1a3 zenon_Hfc zenon_Hfa zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Haa zenon_Hb2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L60_); trivial. % 1.04/1.21 apply (zenon_L908_); trivial. % 1.04/1.21 apply (zenon_L656_); trivial. % 1.04/1.21 (* end of lemma zenon_L909_ *) % 1.04/1.21 assert (zenon_L910_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp14))\/((ndr1_0)/\((~(c0_1 (a145)))/\((~(c1_1 (a145)))/\(~(c3_1 (a145))))))) -> ((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)\/((c2_1 W)\/(~(c0_1 W)))))))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp14)\/(hskp3))) -> (~(hskp3)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_He7 zenon_H58 zenon_H264 zenon_H294 zenon_H293 zenon_H292 zenon_H15d zenon_H15c zenon_H15b zenon_He3 zenon_He0 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H45 zenon_H2c zenon_H3b zenon_H80 zenon_H1a3 zenon_Hfc zenon_Hfa zenon_H2af zenon_H2ae zenon_H2ad zenon_Hb2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L88_); trivial. % 1.04/1.21 apply (zenon_L908_); trivial. % 1.04/1.21 apply (zenon_L656_); trivial. % 1.04/1.21 (* end of lemma zenon_L910_ *) % 1.04/1.21 assert (zenon_L911_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp13)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp5)) -> (~(hskp4)) -> (ndr1_0) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> (~(c1_1 (a135))) -> (c3_1 (a135)) -> (c2_1 (a135)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Ha5 zenon_H70 zenon_H1da zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H1d9 zenon_Ha3 zenon_H3b zenon_H39 zenon_Hf zenon_H292 zenon_H293 zenon_H294 zenon_Heb zenon_Hec zenon_Hed zenon_H29b zenon_He0 zenon_He3. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L635_); trivial. % 1.04/1.21 apply (zenon_L864_); trivial. % 1.04/1.21 (* end of lemma zenon_L911_ *) % 1.04/1.21 assert (zenon_L912_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> (~(c2_1 (a131))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H24d zenon_H211 zenon_H1e2 zenon_He3 zenon_H1da zenon_H16c zenon_H16d zenon_H174 zenon_He0 zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_H1d9 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_Hb2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L893_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 1.04/1.21 apply (zenon_L50_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.21 apply (zenon_L818_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.21 apply (zenon_L228_); trivial. % 1.04/1.21 apply (zenon_L114_); trivial. % 1.04/1.21 exact (zenon_H1b3 zenon_H1b4). % 1.04/1.21 apply (zenon_L645_); trivial. % 1.04/1.21 apply (zenon_L59_); trivial. % 1.04/1.21 apply (zenon_L831_); trivial. % 1.04/1.21 (* end of lemma zenon_L912_ *) % 1.04/1.21 assert (zenon_L913_ : ((ndr1_0)/\((c1_1 (a131))/\((c3_1 (a131))/\(~(c2_1 (a131)))))) -> ((~(hskp10))\/((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H2b6 zenon_H253 zenon_H1e2 zenon_Hb2 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H1d9 zenon_H29b zenon_H294 zenon_H293 zenon_H292 zenon_He0 zenon_H1da zenon_He3 zenon_Haa zenon_H159 zenon_H152 zenon_H13e zenon_H12d zenon_H258 zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H273 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H211. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L893_); trivial. % 1.04/1.21 apply (zenon_L869_); trivial. % 1.04/1.21 apply (zenon_L912_); trivial. % 1.04/1.21 (* end of lemma zenon_L913_ *) % 1.04/1.21 assert (zenon_L914_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp15)) -> (~(hskp10)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (ndr1_0) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_He3 zenon_He0 zenon_Hae zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H258 zenon_H5b zenon_H226 zenon_H1a3 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hf zenon_Hbd zenon_Hc1 zenon_Hd0 zenon_Hd4. % 1.04/1.21 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.21 apply (zenon_L183_); trivial. % 1.04/1.21 apply (zenon_L872_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.21 apply (zenon_L187_); trivial. % 1.04/1.21 apply (zenon_L872_); trivial. % 1.04/1.21 apply (zenon_L59_); trivial. % 1.04/1.21 (* end of lemma zenon_L914_ *) % 1.04/1.21 assert (zenon_L915_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp16)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (ndr1_0) -> (~(c2_1 (a162))) -> (forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))) -> (c0_1 (a162)) -> (c3_1 (a162)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_Hcd zenon_H22a zenon_H248 zenon_H22b zenon_H292 zenon_H293 zenon_H294 zenon_H29b zenon_Hf zenon_H75 zenon_H96 zenon_H76 zenon_H77. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.21 apply (zenon_L818_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H29b); [ zenon_intro zenon_H260 | zenon_intro zenon_H29c ]. % 1.04/1.21 apply (zenon_L634_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H29c); [ zenon_intro zenon_Hea | zenon_intro zenon_Hce ]. % 1.04/1.21 apply (zenon_L228_); trivial. % 1.04/1.21 exact (zenon_Hcd zenon_Hce). % 1.04/1.21 apply (zenon_L484_); trivial. % 1.04/1.21 (* end of lemma zenon_L915_ *) % 1.04/1.21 assert (zenon_L916_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (~(hskp16)) -> (c0_1 (a138)) -> (~(c1_1 (a138))) -> (c3_1 (a138)) -> (~(c1_1 (a126))) -> (~(c2_1 (a126))) -> (c0_1 (a126)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Ha9 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H26a zenon_H269 zenon_H268 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_Hcd zenon_H22a zenon_H248 zenon_H22b zenon_H292 zenon_H293 zenon_H294 zenon_H29b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.21 apply (zenon_L90_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.21 apply (zenon_L383_); trivial. % 1.04/1.21 apply (zenon_L915_); trivial. % 1.04/1.21 (* end of lemma zenon_L916_ *) % 1.04/1.21 assert (zenon_L917_ : ((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158)))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall W : zenon_U, ((ndr1_0)->((c1_1 W)\/((c2_1 W)\/(~(c0_1 W))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp16))) -> (c3_1 (a138)) -> (~(c1_1 (a138))) -> (c0_1 (a138)) -> (c0_1 (a126)) -> (~(c2_1 (a126))) -> (~(c1_1 (a126))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp16)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hcf zenon_Hae zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H29b zenon_H22b zenon_H248 zenon_H22a zenon_H294 zenon_H293 zenon_H292 zenon_H1a3 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_Hcd zenon_Hd0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.21 apply (zenon_L187_); trivial. % 1.04/1.21 apply (zenon_L916_); trivial. % 1.04/1.21 (* end of lemma zenon_L917_ *) % 1.04/1.21 assert (zenon_L918_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_H1da zenon_H1d9 zenon_H152 zenon_H13e zenon_H72 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H258 zenon_H226 zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H119 zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_Ha5 zenon_Hae. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.21 apply (zenon_L260_); trivial. % 1.04/1.21 apply (zenon_L872_); trivial. % 1.04/1.21 apply (zenon_L864_); trivial. % 1.04/1.21 (* end of lemma zenon_L918_ *) % 1.04/1.21 assert (zenon_L919_ : ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(hskp10)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp10)\/(hskp15))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/((hskp19)\/(hskp13))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/((hskp28)\/(hskp13))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H211 zenon_H1fd zenon_H80 zenon_H3b zenon_H273 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H12d zenon_H159 zenon_Haa zenon_He0 zenon_He3 zenon_Hae zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_Hf zenon_H13f zenon_H226 zenon_H258 zenon_H213 zenon_H214 zenon_H21b zenon_H72 zenon_H13e zenon_H152 zenon_H1d9 zenon_H1da zenon_Hb2. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L918_); trivial. % 1.04/1.21 apply (zenon_L561_); trivial. % 1.04/1.21 (* end of lemma zenon_L919_ *) % 1.04/1.21 assert (zenon_L920_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H240 zenon_H8c zenon_H83 zenon_H82 zenon_H91 zenon_H77 zenon_H76 zenon_H75 zenon_H198 zenon_Hf zenon_Hfa zenon_Hfc. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 1.04/1.21 apply (zenon_L42_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 1.04/1.21 apply (zenon_L36_); trivial. % 1.04/1.21 apply (zenon_L840_); trivial. % 1.04/1.21 (* end of lemma zenon_L920_ *) % 1.04/1.21 assert (zenon_L921_ : ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c2_1 (a183))) -> (~(c3_1 (a183))) -> (~(c1_1 (a183))) -> (forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y))))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> (ndr1_0) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_H240 zenon_H8c zenon_H83 zenon_H82 zenon_H91 zenon_H77 zenon_H76 zenon_H75 zenon_Hf zenon_Hfa zenon_Hfc. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.21 apply (zenon_L818_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.21 apply (zenon_L117_); trivial. % 1.04/1.21 apply (zenon_L920_); trivial. % 1.04/1.21 (* end of lemma zenon_L921_ *) % 1.04/1.21 assert (zenon_L922_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp21))\/((ndr1_0)/\((c3_1 (a170))/\((~(c0_1 (a170)))/\(~(c2_1 (a170))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp9)) -> (~(hskp6)) -> ((hskp9)\/((hskp21)\/(hskp6))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Ha9 zenon_H35 zenon_Haa zenon_H271 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_Hb1 zenon_H98 zenon_H240 zenon_Hfc zenon_Hfa zenon_H1a3 zenon_H3b zenon_H80 zenon_H6 zenon_Ha zenon_Hc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H35); [ zenon_intro zenon_H8 | zenon_intro zenon_H30 ]. % 1.04/1.21 apply (zenon_L7_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H30). zenon_intro zenon_Hf. zenon_intro zenon_H32. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H32). zenon_intro zenon_H13. zenon_intro zenon_H33. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H33). zenon_intro zenon_H11. zenon_intro zenon_H12. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L38_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H91 | zenon_intro zenon_H272 ]. % 1.04/1.21 apply (zenon_L921_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H10 | zenon_intro zenon_H7 ]. % 1.04/1.21 apply (zenon_L9_); trivial. % 1.04/1.21 exact (zenon_H6 zenon_H7). % 1.04/1.21 (* end of lemma zenon_L922_ *) % 1.04/1.21 assert (zenon_L923_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (~(hskp13)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c3_1 (a149)) -> (~(c1_1 (a149))) -> (ndr1_0) -> (forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2)))))) -> (~(hskp19)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H164 zenon_H70 zenon_H60 zenon_H61 zenon_H62 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H98 zenon_H97 zenon_Hf zenon_H95 zenon_H6e. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H164); [ zenon_intro zenon_H36 | zenon_intro zenon_H165 ]. % 1.04/1.21 apply (zenon_L806_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H165); [ zenon_intro zenon_H96 | zenon_intro zenon_H6f ]. % 1.04/1.21 apply (zenon_L44_); trivial. % 1.04/1.21 exact (zenon_H6e zenon_H6f). % 1.04/1.21 (* end of lemma zenon_L923_ *) % 1.04/1.21 assert (zenon_L924_ : ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c3_1 (a162)) -> (c0_1 (a162)) -> (~(c2_1 (a162))) -> (forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))) -> (ndr1_0) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H240 zenon_H70 zenon_H60 zenon_H61 zenon_H62 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H77 zenon_H76 zenon_H75 zenon_H198 zenon_Hf zenon_Hfa zenon_Hfc. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H240); [ zenon_intro zenon_H36 | zenon_intro zenon_H241 ]. % 1.04/1.21 apply (zenon_L806_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H241); [ zenon_intro zenon_H74 | zenon_intro zenon_Hf9 ]. % 1.04/1.21 apply (zenon_L36_); trivial. % 1.04/1.21 apply (zenon_L840_); trivial. % 1.04/1.21 (* end of lemma zenon_L924_ *) % 1.04/1.21 assert (zenon_L925_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H1a3 zenon_Hfa zenon_Hfc zenon_H240 zenon_H2af zenon_H2ae zenon_H2ad zenon_H164 zenon_H60 zenon_H61 zenon_H62 zenon_H39 zenon_H3b zenon_Ha3 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Ha3); [ zenon_intro zenon_H95 | zenon_intro zenon_H41 ]. % 1.04/1.21 apply (zenon_L923_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H41); [ zenon_intro zenon_H3a | zenon_intro zenon_H3c ]. % 1.04/1.21 exact (zenon_H39 zenon_H3a). % 1.04/1.21 exact (zenon_H3b zenon_H3c). % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a3); [ zenon_intro zenon_H192 | zenon_intro zenon_H1a4 ]. % 1.04/1.21 apply (zenon_L818_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1a4); [ zenon_intro zenon_H1a0 | zenon_intro zenon_H198 ]. % 1.04/1.21 apply (zenon_L117_); trivial. % 1.04/1.21 apply (zenon_L924_); trivial. % 1.04/1.21 (* end of lemma zenon_L925_ *) % 1.04/1.21 assert (zenon_L926_ : ((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (~(c1_1 (a149))) -> (~(c2_1 (a149))) -> (c3_1 (a149)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Ha9 zenon_Haa zenon_Ha5 zenon_H2ad zenon_H2ae zenon_H2af zenon_H97 zenon_Hb1 zenon_H98 zenon_H240 zenon_Hfc zenon_Hfa zenon_H1a3 zenon_H15d zenon_H15c zenon_H15b zenon_H3b zenon_H80. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L38_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Ha5); [ zenon_intro zenon_H8b | zenon_intro zenon_Ha8 ]. % 1.04/1.21 apply (zenon_L90_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Ha8); [ zenon_intro zenon_H91 | zenon_intro zenon_H96 ]. % 1.04/1.21 apply (zenon_L921_); trivial. % 1.04/1.21 apply (zenon_L862_); trivial. % 1.04/1.21 (* end of lemma zenon_L926_ *) % 1.04/1.21 assert (zenon_L927_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp19))\/((ndr1_0)/\((c0_1 (a162))/\((c3_1 (a162))/\(~(c2_1 (a162))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> ((forall X44 : zenon_U, ((ndr1_0)->((c1_1 X44)\/((c3_1 X44)\/(~(c0_1 X44))))))\/((forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z))))))\/(hskp19))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_Hae zenon_H2ad zenon_H2ae zenon_H2af zenon_H240 zenon_Hfc zenon_Hfa zenon_H1a3 zenon_Ha3 zenon_H39 zenon_H3b zenon_H80 zenon_H15b zenon_H15c zenon_H15d zenon_H164 zenon_Ha5 zenon_Haa zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.04/1.21 apply (zenon_L94_); trivial. % 1.04/1.21 apply (zenon_L926_); trivial. % 1.04/1.21 (* end of lemma zenon_L927_ *) % 1.04/1.21 assert (zenon_L928_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a131)) -> (c1_1 (a131)) -> (~(c2_1 (a131))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_H1a3 zenon_H16d zenon_H174 zenon_H16c zenon_H2af zenon_H2ae zenon_H2ad zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_L831_); trivial. % 1.04/1.21 (* end of lemma zenon_L928_ *) % 1.04/1.21 assert (zenon_L929_ : ((ndr1_0)/\((c1_1 (a131))/\((c3_1 (a131))/\(~(c2_1 (a131)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H2b6 zenon_H28e zenon_H151 zenon_H14d zenon_H119 zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H159 zenon_Haa zenon_Hb2 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_He0 zenon_He3 zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H211. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L928_); trivial. % 1.04/1.21 apply (zenon_L866_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L928_); trivial. % 1.04/1.21 apply (zenon_L891_); trivial. % 1.04/1.21 (* end of lemma zenon_L929_ *) % 1.04/1.21 assert (zenon_L930_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Ha4 zenon_H159 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hfa zenon_Hfc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 1.04/1.21 apply (zenon_L781_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 1.04/1.21 apply (zenon_L85_); trivial. % 1.04/1.21 apply (zenon_L841_); trivial. % 1.04/1.21 (* end of lemma zenon_L930_ *) % 1.04/1.21 assert (zenon_L931_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hdf zenon_Haa zenon_H159 zenon_H13e zenon_H12d zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_H2c zenon_H1e0 zenon_H1a3 zenon_Hfc zenon_Hfa zenon_H98 zenon_Hb1 zenon_H97 zenon_H2af zenon_H2ae zenon_H2ad zenon_H1fd zenon_H151. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.21 apply (zenon_L783_); trivial. % 1.04/1.21 apply (zenon_L845_); trivial. % 1.04/1.21 apply (zenon_L930_); trivial. % 1.04/1.21 (* end of lemma zenon_L931_ *) % 1.04/1.21 assert (zenon_L932_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp3)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp29)\/(hskp3))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1fd zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H13e zenon_H12d zenon_H21b zenon_H214 zenon_H213 zenon_H2c zenon_H1e0 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L788_); trivial. % 1.04/1.21 apply (zenon_L930_); trivial. % 1.04/1.21 apply (zenon_L789_); trivial. % 1.04/1.21 apply (zenon_L931_); trivial. % 1.04/1.21 (* end of lemma zenon_L932_ *) % 1.04/1.21 assert (zenon_L933_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_Ha5 zenon_H39 zenon_H3b zenon_Ha3 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_L858_); trivial. % 1.04/1.21 (* end of lemma zenon_L933_ *) % 1.04/1.21 assert (zenon_L934_ : ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (~(c0_1 (a144))) -> (~(c3_1 (a144))) -> (c2_1 (a144)) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (ndr1_0) -> (~(c0_1 (a134))) -> (~(c3_1 (a134))) -> (c1_1 (a134)) -> (~(hskp15)) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_He3 zenon_He0 zenon_Haa zenon_H268 zenon_H269 zenon_H26a zenon_H159 zenon_Hfc zenon_Hfa zenon_H103 zenon_H273 zenon_H152 zenon_H13e zenon_Hb4 zenon_Hb5 zenon_Hb6 zenon_H12d zenon_H13f zenon_Hf zenon_H10e zenon_H10f zenon_H110 zenon_H5b zenon_H119 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4. % 1.04/1.21 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L84_); trivial. % 1.04/1.21 apply (zenon_L426_); trivial. % 1.04/1.21 apply (zenon_L56_); trivial. % 1.04/1.21 apply (zenon_L59_); trivial. % 1.04/1.21 (* end of lemma zenon_L934_ *) % 1.04/1.21 assert (zenon_L935_ : ((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144)))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(c0_1 (a140))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_He7 zenon_Hb2 zenon_H1fd zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H80 zenon_H3b zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H273 zenon_H103 zenon_Hfa zenon_Hfc zenon_H159 zenon_H26a zenon_H269 zenon_H268 zenon_Haa zenon_He0 zenon_He3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L934_); trivial. % 1.04/1.21 apply (zenon_L856_); trivial. % 1.04/1.21 (* end of lemma zenon_L935_ *) % 1.04/1.21 assert (zenon_L936_ : ((ndr1_0)/\((~(c0_1 (a133)))/\((~(c1_1 (a133)))/\(~(c2_1 (a133)))))) -> ((~(hskp7))\/((ndr1_0)/\((c1_1 (a134))/\((~(c0_1 (a134)))/\(~(c3_1 (a134))))))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(hskp4)) -> (~(hskp5)) -> ((forall X2 : zenon_U, ((ndr1_0)->((c0_1 X2)\/((c1_1 X2)\/(~(c3_1 X2))))))\/((hskp4)\/(hskp5))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H28f zenon_H28e zenon_H119 zenon_H236 zenon_H29f zenon_H29e zenon_H29d zenon_Hb2 zenon_Ha5 zenon_H39 zenon_H3b zenon_Ha3 zenon_H26a zenon_H269 zenon_H268 zenon_H220 zenon_He0 zenon_He3 zenon_Hc1 zenon_Hd0 zenon_Hd4 zenon_H151 zenon_H14d zenon_H273 zenon_H80 zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Haa zenon_H1fd zenon_H211 zenon_H167. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.21 apply (zenon_L758_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L933_); trivial. % 1.04/1.21 apply (zenon_L857_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.21 apply (zenon_L758_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L933_); trivial. % 1.04/1.21 apply (zenon_L935_); trivial. % 1.04/1.21 (* end of lemma zenon_L936_ *) % 1.04/1.21 assert (zenon_L937_ : ((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151)))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp13)) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> (c3_1 (a149)) -> (~(c2_1 (a149))) -> (~(c1_1 (a149))) -> (c1_1 (a140)) -> (c3_1 (a140)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hdf zenon_H1fd zenon_H70 zenon_H60 zenon_H61 zenon_H62 zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H98 zenon_Hb1 zenon_H97 zenon_Hfa zenon_Hfc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1fd); [ zenon_intro zenon_H1b | zenon_intro zenon_H1fe ]. % 1.04/1.21 apply (zenon_L763_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1fe); [ zenon_intro zenon_Hd5 | zenon_intro zenon_Hf9 ]. % 1.04/1.21 apply (zenon_L58_); trivial. % 1.04/1.21 apply (zenon_L841_); trivial. % 1.04/1.21 (* end of lemma zenon_L937_ *) % 1.04/1.21 assert (zenon_L938_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (c0_1 (a136)) -> (~(c3_1 (a136))) -> (c2_1 (a136)) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_He3 zenon_H1fd zenon_H60 zenon_H61 zenon_H62 zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H152 zenon_H13e zenon_H21b zenon_H214 zenon_H213 zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd0 zenon_Hd4 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.04/1.21 apply (zenon_L505_); trivial. % 1.04/1.21 apply (zenon_L815_); trivial. % 1.04/1.21 apply (zenon_L83_); trivial. % 1.04/1.21 apply (zenon_L930_); trivial. % 1.04/1.21 apply (zenon_L789_); trivial. % 1.04/1.21 apply (zenon_L937_); trivial. % 1.04/1.21 (* end of lemma zenon_L938_ *) % 1.04/1.21 assert (zenon_L939_ : ((ndr1_0)/\((c0_1 (a136))/\((c2_1 (a136))/\(~(c3_1 (a136)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H255 zenon_H167 zenon_H211 zenon_Hbd zenon_Hc1 zenon_He0 zenon_H220 zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H273 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H12d zenon_H213 zenon_H214 zenon_H21b zenon_H13e zenon_H152 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Haa zenon_H1fd zenon_He3 zenon_Hb2 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.21 apply (zenon_L758_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L938_); trivial. % 1.04/1.21 apply (zenon_L857_); trivial. % 1.04/1.21 (* end of lemma zenon_L939_ *) % 1.04/1.21 assert (zenon_L940_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10))) -> (~(hskp13)) -> (ndr1_0) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp9)) -> (~(hskp10)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H228 zenon_H70 zenon_Hf zenon_H213 zenon_H214 zenon_H21b zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H6 zenon_H226. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H228); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H229 ]. % 1.04/1.21 apply (zenon_L781_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H229); [ zenon_intro zenon_H7 | zenon_intro zenon_H227 ]. % 1.04/1.21 exact (zenon_H6 zenon_H7). % 1.04/1.21 exact (zenon_H226 zenon_H227). % 1.04/1.21 (* end of lemma zenon_L940_ *) % 1.04/1.21 assert (zenon_L941_ : ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp9)) -> (~(hskp10)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10))) -> (ndr1_0) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H167 zenon_H211 zenon_Hb2 zenon_H1fd zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_H1a3 zenon_H152 zenon_H13e zenon_H12d zenon_H13f zenon_H268 zenon_H269 zenon_H26a zenon_H80 zenon_H3b zenon_H273 zenon_H14d zenon_H151 zenon_Hd4 zenon_Hd0 zenon_Hbd zenon_Hc1 zenon_He0 zenon_He3 zenon_H220 zenon_H21b zenon_H214 zenon_H213 zenon_H6 zenon_H226 zenon_H228 zenon_Hf zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.21 apply (zenon_L758_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L940_); trivial. % 1.04/1.21 apply (zenon_L857_); trivial. % 1.04/1.21 (* end of lemma zenon_L941_ *) % 1.04/1.21 assert (zenon_L942_ : ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (c3_1 (a138)) -> (c0_1 (a138)) -> (forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31)))))) -> (ndr1_0) -> (~(hskp5)) -> (~(hskp24)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H80 zenon_H22b zenon_H22a zenon_Hea zenon_Hf zenon_H3b zenon_H7e. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H80); [ zenon_intro zenon_H74 | zenon_intro zenon_H81 ]. % 1.04/1.21 apply (zenon_L171_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H81); [ zenon_intro zenon_H3c | zenon_intro zenon_H7f ]. % 1.04/1.21 exact (zenon_H3b zenon_H3c). % 1.04/1.21 exact (zenon_H7e zenon_H7f). % 1.04/1.21 (* end of lemma zenon_L942_ *) % 1.04/1.21 assert (zenon_L943_ : ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (~(hskp13)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp24)) -> (~(hskp5)) -> (ndr1_0) -> (c0_1 (a138)) -> (c3_1 (a138)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp28)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H1e2 zenon_H70 zenon_H213 zenon_H214 zenon_H21b zenon_H29d zenon_H29e zenon_H29f zenon_H220 zenon_H7e zenon_H3b zenon_Hf zenon_H22a zenon_H22b zenon_H80 zenon_H1b3. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1e2); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H1e3 ]. % 1.04/1.21 apply (zenon_L781_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1e3); [ zenon_intro zenon_Hea | zenon_intro zenon_H1b4 ]. % 1.04/1.21 apply (zenon_L942_); trivial. % 1.04/1.21 exact (zenon_H1b3 zenon_H1b4). % 1.04/1.21 (* end of lemma zenon_L943_ *) % 1.04/1.21 assert (zenon_L944_ : ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp24)) -> (~(hskp5)) -> (c3_1 (a138)) -> (c0_1 (a138)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H220 zenon_H70 zenon_H21b zenon_H214 zenon_H213 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_H80 zenon_H7e zenon_H3b zenon_H22b zenon_H22a zenon_H1e2. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H1d9); [ zenon_intro zenon_H1b3 | zenon_intro zenon_H1c0 ]. % 1.04/1.21 apply (zenon_L943_); trivial. % 1.04/1.21 apply (zenon_L809_); trivial. % 1.04/1.21 (* end of lemma zenon_L944_ *) % 1.04/1.21 assert (zenon_L945_ : ((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (c3_1 (a140)) -> (c1_1 (a140)) -> (~(c0_1 (a140))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> (~(hskp13)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(hskp9)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Ha4 zenon_H271 zenon_H26a zenon_H269 zenon_H268 zenon_Hfc zenon_Hfa zenon_H103 zenon_H220 zenon_H29f zenon_H29e zenon_H29d zenon_H21b zenon_H214 zenon_H213 zenon_H70 zenon_H159 zenon_H6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha4). zenon_intro zenon_Hf. zenon_intro zenon_Ha6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha6). zenon_intro zenon_H82. zenon_intro zenon_Ha7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Ha7). zenon_intro zenon_H8c. zenon_intro zenon_H83. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H271); [ zenon_intro zenon_H91 | zenon_intro zenon_H272 ]. % 1.04/1.21 apply (zenon_L383_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H272); [ zenon_intro zenon_H10 | zenon_intro zenon_H7 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H159); [ zenon_intro zenon_Hb3 | zenon_intro zenon_H15a ]. % 1.04/1.21 apply (zenon_L781_); trivial. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H15a); [ zenon_intro zenon_H153 | zenon_intro zenon_Hf9 ]. % 1.04/1.21 apply (zenon_L85_); trivial. % 1.04/1.21 apply (zenon_L68_); trivial. % 1.04/1.21 exact (zenon_H6 zenon_H7). % 1.04/1.21 (* end of lemma zenon_L945_ *) % 1.04/1.21 assert (zenon_L946_ : ((~(hskp10))\/((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp9))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp9)\/(hskp10))) -> (~(hskp9)) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((hskp7)\/(hskp17))) -> (~(hskp7)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> False). % 1.04/1.21 do 0 intro. intros zenon_H253 zenon_H1d9 zenon_Ha5 zenon_H15d zenon_H15c zenon_H15b zenon_H1e2 zenon_H271 zenon_H236 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_H228 zenon_H6 zenon_H213 zenon_H214 zenon_H21b zenon_H220 zenon_He3 zenon_He0 zenon_Hc1 zenon_Hbd zenon_Hd0 zenon_Hd4 zenon_H151 zenon_H14d zenon_H273 zenon_H3b zenon_H80 zenon_H26a zenon_H269 zenon_H268 zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Haa zenon_H1fd zenon_Hb2 zenon_H211 zenon_H167. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.04/1.21 apply (zenon_L941_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.21 apply (zenon_L758_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L944_); trivial. % 1.04/1.21 apply (zenon_L945_); trivial. % 1.04/1.21 apply (zenon_L857_); trivial. % 1.04/1.21 (* end of lemma zenon_L946_ *) % 1.04/1.21 assert (zenon_L947_ : ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> (~(c0_1 (a124))) -> (c2_1 (a124)) -> (c3_1 (a124)) -> (c1_1 (a140)) -> (c3_1 (a140)) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> (c0_1 (a138)) -> (c3_1 (a138)) -> (~(hskp5)) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(c3_1 (a130))) -> (c2_1 (a130)) -> (c1_1 (a130)) -> (~(c0_1 (a133))) -> (~(c1_1 (a133))) -> (~(c2_1 (a133))) -> (~(c0_1 (a128))) -> (~(c2_1 (a128))) -> (~(c3_1 (a128))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> (~(hskp13)) -> (c1_1 (a125)) -> (c0_1 (a125)) -> (~(c3_1 (a125))) -> (ndr1_0) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> False). % 1.04/1.21 do 0 intro. intros zenon_Hb2 zenon_Haa zenon_H159 zenon_H2ad zenon_H2ae zenon_H2af zenon_Hfa zenon_Hfc zenon_H1a3 zenon_H1e2 zenon_H22a zenon_H22b zenon_H3b zenon_H80 zenon_H213 zenon_H214 zenon_H21b zenon_H15b zenon_H15c zenon_H15d zenon_H268 zenon_H269 zenon_H26a zenon_Ha5 zenon_H1d9 zenon_H220 zenon_H70 zenon_H29f zenon_H29e zenon_H29d zenon_Hf zenon_He0. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.04/1.21 apply (zenon_L760_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.04/1.21 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.04/1.21 apply (zenon_L944_); trivial. % 1.04/1.21 apply (zenon_L930_); trivial. % 1.04/1.21 (* end of lemma zenon_L947_ *) % 1.04/1.21 assert (zenon_L948_ : ((ndr1_0)/\((c0_1 (a138))/\((c3_1 (a138))/\(~(c1_1 (a138)))))) -> ((~(hskp12))\/((ndr1_0)/\((c1_1 (a140))/\((c3_1 (a140))/\(~(c0_1 (a140))))))) -> ((~(hskp13))\/((ndr1_0)/\((c2_1 (a144))/\((~(c0_1 (a144)))/\(~(c3_1 (a144))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp17))\/((ndr1_0)/\((c1_1 (a158))/\((~(c2_1 (a158)))/\(~(c3_1 (a158))))))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X29 : zenon_U, ((ndr1_0)->((c2_1 X29)\/((c3_1 X29)\/(~(c1_1 X29))))))\/(hskp16))) -> ((~(hskp25))\/((ndr1_0)/\((c2_1 (a192))/\((~(c1_1 (a192)))/\(~(c3_1 (a192))))))) -> ((forall X17 : zenon_U, ((ndr1_0)->((c1_1 X17)\/((c3_1 X17)\/(~(c2_1 X17))))))\/((hskp16)\/(hskp17))) -> ((forall X20 : zenon_U, ((ndr1_0)->((c0_1 X20)\/((c3_1 X20)\/(~(c1_1 X20))))))\/((hskp27)\/(hskp15))) -> (c1_1 (a134)) -> (~(c3_1 (a134))) -> (~(c0_1 (a134))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X24 : zenon_U, ((ndr1_0)->((c0_1 X24)\/((~(c1_1 X24))\/(~(c2_1 X24))))))\/(hskp29))) -> ((forall X41 : zenon_U, ((ndr1_0)->((~(c0_1 X41))\/((~(c1_1 X41))\/(~(c3_1 X41))))))\/((hskp25)\/(hskp24))) -> ((~(hskp29))\/((ndr1_0)/\((c0_1 (a150))/\((c1_1 (a150))/\(c3_1 (a150)))))) -> ((~(hskp27))\/((ndr1_0)/\((c1_1 (a137))/\((c2_1 (a137))/\(c3_1 (a137)))))) -> ((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/((forall X11 : zenon_U, ((ndr1_0)->((c0_1 X11)\/((c2_1 X11)\/(~(c3_1 X11))))))\/(hskp27))) -> ((~(hskp16))\/((ndr1_0)/\((c0_1 (a151))/\((c1_1 (a151))/\(~(c2_1 (a151))))))) -> ((forall X54 : zenon_U, ((ndr1_0)->((c2_1 X54)\/((~(c0_1 X54))\/(~(c1_1 X54))))))\/(hskp15)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/((forall X69 : zenon_U, ((ndr1_0)->((~(c0_1 X69))\/((~(c1_1 X69))\/(~(c2_1 X69))))))\/(hskp13))) -> ((~(hskp28))\/((ndr1_0)/\((c0_1 (a143))/\((c2_1 (a143))/\(c3_1 (a143)))))) -> ((forall U : zenon_U, ((ndr1_0)->((c0_1 U)\/((c1_1 U)\/(c2_1 U)))))\/((forall Y : zenon_U, ((ndr1_0)->((c0_1 Y)\/((c2_1 Y)\/(c3_1 Y)))))\/(forall Z : zenon_U, ((ndr1_0)->((c1_1 Z)\/((~(c0_1 Z))\/(~(c3_1 Z)))))))) -> (~(c3_1 (a128))) -> (~(c2_1 (a128))) -> (~(c0_1 (a128))) -> (~(c2_1 (a133))) -> (~(c1_1 (a133))) -> (~(c0_1 (a133))) -> (c1_1 (a130)) -> (c2_1 (a130)) -> (~(c3_1 (a130))) -> ((forall X47 : zenon_U, ((ndr1_0)->((c2_1 X47)\/((~(c0_1 X47))\/(~(c3_1 X47))))))\/((hskp5)\/(hskp24))) -> (~(hskp5)) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X31 : zenon_U, ((ndr1_0)->((~(c0_1 X31))\/((~(c2_1 X31))\/(~(c3_1 X31))))))\/(hskp28))) -> ((forall X37 : zenon_U, ((ndr1_0)->((c0_1 X37)\/((~(c2_1 X37))\/(~(c3_1 X37))))))\/((forall X38 : zenon_U, ((ndr1_0)->((c1_1 X38)\/((c2_1 X38)\/(~(c3_1 X38))))))\/(forall X39 : zenon_U, ((ndr1_0)->((c2_1 X39)\/((~(c1_1 X39))\/(~(c3_1 X39)))))))) -> (c3_1 (a124)) -> (c2_1 (a124)) -> (~(c0_1 (a124))) -> ((forall X23 : zenon_U, ((ndr1_0)->((c0_1 X23)\/((c3_1 X23)\/(~(c2_1 X23))))))\/((forall X26 : zenon_U, ((ndr1_0)->((c1_1 X26)\/((c2_1 X26)\/(c3_1 X26)))))\/(forall X27 : zenon_U, ((ndr1_0)->((~(c1_1 X27))\/((~(c2_1 X27))\/(~(c3_1 X27)))))))) -> ((~(hskp24))\/((ndr1_0)/\((~(c1_1 (a183)))/\((~(c2_1 (a183)))/\(~(c3_1 (a183))))))) -> ((~(hskp15))\/((ndr1_0)/\((c3_1 (a149))/\((~(c1_1 (a149)))/\(~(c2_1 (a149))))))) -> (~(c3_1 (a125))) -> (c0_1 (a125)) -> (c1_1 (a125)) -> ((forall X73 : zenon_U, ((ndr1_0)->((c3_1 X73)\/((~(c0_1 X73))\/(~(c1_1 X73))))))\/(hskp12)) -> False). % 1.04/1.21 do 0 intro. intros zenon_H24d zenon_H167 zenon_H211 zenon_H1fd zenon_Hd4 zenon_Hd0 zenon_H151 zenon_H14d zenon_H119 zenon_H110 zenon_H10f zenon_H10e zenon_H13f zenon_H12d zenon_H13e zenon_H152 zenon_H273 zenon_He3 zenon_He0 zenon_H220 zenon_H1d9 zenon_Ha5 zenon_H26a zenon_H269 zenon_H268 zenon_H15d zenon_H15c zenon_H15b zenon_H21b zenon_H214 zenon_H213 zenon_H80 zenon_H3b zenon_H1e2 zenon_H1a3 zenon_H2af zenon_H2ae zenon_H2ad zenon_H159 zenon_Haa zenon_Hb2 zenon_H29d zenon_H29e zenon_H29f zenon_H236. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.04/1.21 apply (zenon_L758_); trivial. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.04/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.04/1.21 apply (zenon_L947_); trivial. % 1.04/1.21 apply (zenon_L935_); trivial. % 1.04/1.21 (* end of lemma zenon_L948_ *) % 1.04/1.21 apply NNPP. intro zenon_G. % 1.04/1.21 apply zenon_G. zenon_intro zenon_H2bb. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2bb). zenon_intro zenon_H2bd. zenon_intro zenon_H2bc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2bc). zenon_intro zenon_H2bf. zenon_intro zenon_H2be. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2be). zenon_intro zenon_H2c1. zenon_intro zenon_H2c0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2c0). zenon_intro zenon_H2c3. zenon_intro zenon_H2c2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2c2). zenon_intro zenon_H2c5. zenon_intro zenon_H2c4. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2c4). zenon_intro zenon_H2c7. zenon_intro zenon_H2c6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2c6). zenon_intro zenon_H28d. zenon_intro zenon_H2c8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2c8). zenon_intro zenon_H28e. zenon_intro zenon_H2c9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2c9). zenon_intro zenon_H166. zenon_intro zenon_H2ca. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2ca). zenon_intro zenon_H254. zenon_intro zenon_H2cb. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2cb). zenon_intro zenon_H253. zenon_intro zenon_H2cc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2cc). zenon_intro zenon_H42. zenon_intro zenon_H2cd. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2cd). zenon_intro zenon_H167. zenon_intro zenon_H2ce. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2ce). zenon_intro zenon_H211. zenon_intro zenon_H2cf. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2cf). zenon_intro zenon_H58. zenon_intro zenon_H2d0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d0). zenon_intro zenon_Hb2. zenon_intro zenon_H2d1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d1). zenon_intro zenon_He3. zenon_intro zenon_H2d2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d2). zenon_intro zenon_Hd4. zenon_intro zenon_H2d3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d3). zenon_intro zenon_H18e. zenon_intro zenon_H2d4. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d4). zenon_intro zenon_Hae. zenon_intro zenon_H2d5. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d5). zenon_intro zenon_H1db. zenon_intro zenon_H2d6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d6). zenon_intro zenon_H35. zenon_intro zenon_H2d7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d7). zenon_intro zenon_H1fc. zenon_intro zenon_H2d8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d8). zenon_intro zenon_H2da. zenon_intro zenon_H2d9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2d9). zenon_intro zenon_Haa. zenon_intro zenon_H2db. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2db). zenon_intro zenon_H151. zenon_intro zenon_H2dc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2dc). zenon_intro zenon_H1d8. zenon_intro zenon_H2dd. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2dd). zenon_intro zenon_H152. zenon_intro zenon_H2de. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2de). zenon_intro zenon_H1d9. zenon_intro zenon_H2df. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2df). zenon_intro zenon_H13e. zenon_intro zenon_H2e0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e0). zenon_intro zenon_H2e2. zenon_intro zenon_H2e1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e1). zenon_intro zenon_H264. zenon_intro zenon_H2e3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e3). zenon_intro zenon_Ha5. zenon_intro zenon_H2e4. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e4). zenon_intro zenon_H208. zenon_intro zenon_H2e5. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e5). zenon_intro zenon_H54. zenon_intro zenon_H2e6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e6). zenon_intro zenon_H2e8. zenon_intro zenon_H2e7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e7). zenon_intro zenon_H2ea. zenon_intro zenon_H2e9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2e9). zenon_intro zenon_Ha3. zenon_intro zenon_H2eb. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2eb). zenon_intro zenon_H278. zenon_intro zenon_H2ec. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2ec). zenon_intro zenon_H2ee. zenon_intro zenon_H2ed. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2ed). zenon_intro zenon_H271. zenon_intro zenon_H2ef. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2ef). zenon_intro zenon_H273. zenon_intro zenon_H2f0. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f0). zenon_intro zenon_H28b. zenon_intro zenon_H2f1. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f1). zenon_intro zenon_H246. zenon_intro zenon_H2f2. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f2). zenon_intro zenon_H31. zenon_intro zenon_H2f3. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f3). zenon_intro zenon_H1da. zenon_intro zenon_H2f4. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f4). zenon_intro zenon_H45. zenon_intro zenon_H2f5. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f5). zenon_intro zenon_H25a. zenon_intro zenon_H2f6. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f6). zenon_intro zenon_H119. zenon_intro zenon_H2f7. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f7). zenon_intro zenon_H13f. zenon_intro zenon_H2f8. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f8). zenon_intro zenon_H159. zenon_intro zenon_H2f9. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2f9). zenon_intro zenon_Hd0. zenon_intro zenon_H2fa. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2fa). zenon_intro zenon_H1e2. zenon_intro zenon_H2fb. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2fb). zenon_intro zenon_H1e0. zenon_intro zenon_H2fc. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2fc). zenon_intro zenon_H228. zenon_intro zenon_H2fd. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2fd). zenon_intro zenon_Hc1. zenon_intro zenon_H2fe. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2fe). zenon_intro zenon_H239. zenon_intro zenon_H2ff. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H2ff). zenon_intro zenon_H1a3. zenon_intro zenon_H300. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H300). zenon_intro zenon_H23b. zenon_intro zenon_H301. % 1.04/1.21 apply (zenon_and_s _ _ zenon_H301). zenon_intro zenon_H29b. zenon_intro zenon_H302. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H302). zenon_intro zenon_H164. zenon_intro zenon_H303. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H303). zenon_intro zenon_H240. zenon_intro zenon_H304. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H304). zenon_intro zenon_H3e. zenon_intro zenon_H305. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H305). zenon_intro zenon_H1d3. zenon_intro zenon_H306. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H306). zenon_intro zenon_H1fd. zenon_intro zenon_H307. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H307). zenon_intro zenon_H18f. zenon_intro zenon_H308. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H308). zenon_intro zenon_H14d. zenon_intro zenon_H309. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H309). zenon_intro zenon_H19e. zenon_intro zenon_H30a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H30a). zenon_intro zenon_H30c. zenon_intro zenon_H30b. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H30b). zenon_intro zenon_H30e. zenon_intro zenon_H30d. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H30d). zenon_intro zenon_H17c. zenon_intro zenon_H30f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H30f). zenon_intro zenon_H2e. zenon_intro zenon_H310. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H310). zenon_intro zenon_H180. zenon_intro zenon_H311. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H311). zenon_intro zenon_He0. zenon_intro zenon_H312. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H312). zenon_intro zenon_H1e6. zenon_intro zenon_H313. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H313). zenon_intro zenon_H315. zenon_intro zenon_H314. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H314). zenon_intro zenon_H80. zenon_intro zenon_H316. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H316). zenon_intro zenon_H1ff. zenon_intro zenon_H317. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H317). zenon_intro zenon_H220. zenon_intro zenon_H318. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H318). zenon_intro zenon_H236. zenon_intro zenon_H319. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H319). zenon_intro zenon_H72. zenon_intro zenon_H31a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H31a). zenon_intro zenon_H258. zenon_intro zenon_H31b. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H31b). zenon_intro zenon_H12d. zenon_intro zenon_H31c. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H31c). zenon_intro zenon_H108. zenon_intro zenon_H31d. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H31d). zenon_intro zenon_H1c1. zenon_intro zenon_H31e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H31e). zenon_intro zenon_H320. zenon_intro zenon_H31f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H31f). zenon_intro zenon_H322. zenon_intro zenon_H321. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H321). zenon_intro zenon_Hc. zenon_intro zenon_H323. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H323). zenon_intro zenon_H325. zenon_intro zenon_H324. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H324). zenon_intro zenon_H5. zenon_intro zenon_H5d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2bd); [ zenon_intro zenon_H206 | zenon_intro zenon_H326 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a | zenon_intro zenon_H327 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H51 | zenon_intro zenon_H328 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c | zenon_intro zenon_H329 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L20_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L27_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L49_); trivial. % 1.08/1.21 apply (zenon_L65_); trivial. % 1.08/1.21 apply (zenon_L71_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L20_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L27_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L49_); trivial. % 1.08/1.21 apply (zenon_L89_); trivial. % 1.08/1.21 apply (zenon_L71_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.21 apply (zenon_L97_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_L163_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L112_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L131_); trivial. % 1.08/1.21 apply (zenon_L165_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_L257_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L27_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_L269_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L270_); trivial. % 1.08/1.21 apply (zenon_L268_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L297_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L299_); trivial. % 1.08/1.21 apply (zenon_L268_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_L257_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_L170_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L178_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L88_); trivial. % 1.08/1.21 apply (zenon_L180_); trivial. % 1.08/1.21 apply (zenon_L302_); trivial. % 1.08/1.21 apply (zenon_L304_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L267_); trivial. % 1.08/1.21 apply (zenon_L304_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L270_); trivial. % 1.08/1.21 apply (zenon_L304_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L297_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L305_); trivial. % 1.08/1.21 apply (zenon_L295_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L112_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L27_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L332_); trivial. % 1.08/1.21 apply (zenon_L333_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L112_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L27_); trivial. % 1.08/1.21 apply (zenon_L334_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L112_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_L170_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L348_); trivial. % 1.08/1.21 apply (zenon_L357_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L332_); trivial. % 1.08/1.21 apply (zenon_L357_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_L170_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.21 apply (zenon_L358_); trivial. % 1.08/1.21 apply (zenon_L26_); trivial. % 1.08/1.21 apply (zenon_L361_); trivial. % 1.08/1.21 apply (zenon_L367_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.21 apply (zenon_L111_); trivial. % 1.08/1.21 apply (zenon_L264_); trivial. % 1.08/1.21 apply (zenon_L369_); trivial. % 1.08/1.21 apply (zenon_L367_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L375_); trivial. % 1.08/1.21 apply (zenon_L369_); trivial. % 1.08/1.21 apply (zenon_L367_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_L170_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L347_); trivial. % 1.08/1.21 apply (zenon_L380_); trivial. % 1.08/1.21 apply (zenon_L382_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L332_); trivial. % 1.08/1.21 apply (zenon_L382_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hf. zenon_intro zenon_H32d. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H268. zenon_intro zenon_H32e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H269. zenon_intro zenon_H26a. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L20_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L385_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L390_); trivial. % 1.08/1.21 apply (zenon_L395_); trivial. % 1.08/1.21 apply (zenon_L396_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L20_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_L96_); trivial. % 1.08/1.21 apply (zenon_L395_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L385_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L401_); trivial. % 1.08/1.21 apply (zenon_L410_); trivial. % 1.08/1.21 apply (zenon_L419_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L401_); trivial. % 1.08/1.21 apply (zenon_L424_); trivial. % 1.08/1.21 apply (zenon_L427_); trivial. % 1.08/1.21 apply (zenon_L439_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L385_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L454_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L88_); trivial. % 1.08/1.21 apply (zenon_L463_); trivial. % 1.08/1.21 apply (zenon_L268_); trivial. % 1.08/1.21 apply (zenon_L439_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L481_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L488_); trivial. % 1.08/1.21 apply (zenon_L479_); trivial. % 1.08/1.21 apply (zenon_L480_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L491_); trivial. % 1.08/1.21 apply (zenon_L479_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L494_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L488_); trivial. % 1.08/1.21 apply (zenon_L492_); trivial. % 1.08/1.21 apply (zenon_L493_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L495_); trivial. % 1.08/1.21 apply (zenon_L492_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.21 apply (zenon_L562_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L385_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L568_); trivial. % 1.08/1.21 apply (zenon_L571_); trivial. % 1.08/1.21 apply (zenon_L574_); trivial. % 1.08/1.21 apply (zenon_L578_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L582_); trivial. % 1.08/1.21 apply (zenon_L586_); trivial. % 1.08/1.21 apply (zenon_L578_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L385_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L587_); trivial. % 1.08/1.21 apply (zenon_L591_); trivial. % 1.08/1.21 apply (zenon_L595_); trivial. % 1.08/1.21 apply (zenon_L268_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.21 apply (zenon_L3_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L604_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.21 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L88_); trivial. % 1.08/1.21 apply (zenon_L620_); trivial. % 1.08/1.21 apply (zenon_L268_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L622_); trivial. % 1.08/1.21 apply (zenon_L628_); trivial. % 1.08/1.21 apply (zenon_L631_); trivial. % 1.08/1.21 apply (zenon_L268_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L481_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L582_); trivial. % 1.08/1.21 apply (zenon_L479_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L577_); trivial. % 1.08/1.21 apply (zenon_L633_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L494_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.21 apply (zenon_L622_); trivial. % 1.08/1.21 apply (zenon_L487_); trivial. % 1.08/1.21 apply (zenon_L492_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_Hf. zenon_intro zenon_H32f. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H294. zenon_intro zenon_H330. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c | zenon_intro zenon_H329 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L20_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L640_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L641_); trivial. % 1.08/1.21 apply (zenon_L65_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.21 apply (zenon_L20_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.21 apply (zenon_L640_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.21 apply (zenon_L641_); trivial. % 1.08/1.21 apply (zenon_L89_); trivial. % 1.08/1.21 apply (zenon_L642_); trivial. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.21 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.21 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L644_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L651_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L111_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L646_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 1.08/1.22 apply (zenon_L647_); trivial. % 1.08/1.22 apply (zenon_L652_); trivial. % 1.08/1.22 apply (zenon_L110_); trivial. % 1.08/1.22 apply (zenon_L198_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L653_); trivial. % 1.08/1.22 apply (zenon_L162_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L655_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L653_); trivial. % 1.08/1.22 apply (zenon_L165_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L657_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L658_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L152_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L644_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L227_); trivial. % 1.08/1.22 apply (zenon_L669_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_L677_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L256_); trivial. % 1.08/1.22 apply (zenon_L676_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L644_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L269_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L211_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H53). zenon_intro zenon_Hf. zenon_intro zenon_H55. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H55). zenon_intro zenon_H48. zenon_intro zenon_H56. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H56). zenon_intro zenon_H49. zenon_intro zenon_H4a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L680_); trivial. % 1.08/1.22 apply (zenon_L683_); trivial. % 1.08/1.22 apply (zenon_L266_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_L695_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L255_); trivial. % 1.08/1.22 apply (zenon_L696_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L697_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L181_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_L699_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L700_); trivial. % 1.08/1.22 apply (zenon_L701_); trivial. % 1.08/1.22 apply (zenon_L699_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L244_); trivial. % 1.08/1.22 apply (zenon_L702_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L704_); trivial. % 1.08/1.22 apply (zenon_L702_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_L709_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L700_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L265_); trivial. % 1.08/1.22 apply (zenon_L302_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L710_); trivial. % 1.08/1.22 apply (zenon_L698_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_L712_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L703_); trivial. % 1.08/1.22 apply (zenon_L696_); trivial. % 1.08/1.22 apply (zenon_L711_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L644_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L651_); trivial. % 1.08/1.22 apply (zenon_L715_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L720_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L23_); trivial. % 1.08/1.22 apply (zenon_L727_); trivial. % 1.08/1.22 apply (zenon_L198_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L332_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L646_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_L349_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 1.08/1.22 apply (zenon_L322_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.08/1.22 apply (zenon_L324_); trivial. % 1.08/1.22 apply (zenon_L185_); trivial. % 1.08/1.22 apply (zenon_L727_); trivial. % 1.08/1.22 apply (zenon_L294_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L655_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_L728_); trivial. % 1.08/1.22 apply (zenon_L334_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L729_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L60_); trivial. % 1.08/1.22 apply (zenon_L359_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_L732_); trivial. % 1.08/1.22 apply (zenon_L734_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_L737_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L739_); trivial. % 1.08/1.22 apply (zenon_L736_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L170_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L729_); trivial. % 1.08/1.22 apply (zenon_L361_); trivial. % 1.08/1.22 apply (zenon_L708_); trivial. % 1.08/1.22 apply (zenon_L734_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L101_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 1.08/1.22 apply (zenon_L740_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H1dc). zenon_intro zenon_Hf. zenon_intro zenon_H1dd. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H1dd). zenon_intro zenon_H1a7. zenon_intro zenon_H1de. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H1de). zenon_intro zenon_H1a6. zenon_intro zenon_H1a5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.08/1.22 apply (zenon_L310_); trivial. % 1.08/1.22 apply (zenon_L741_); trivial. % 1.08/1.22 apply (zenon_L320_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 1.08/1.22 apply (zenon_L740_); trivial. % 1.08/1.22 apply (zenon_L742_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L330_); trivial. % 1.08/1.22 apply (zenon_L302_); trivial. % 1.08/1.22 apply (zenon_L736_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hf. zenon_intro zenon_H32d. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H268. zenon_intro zenon_H32e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H269. zenon_intro zenon_H26a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_L745_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L746_); trivial. % 1.08/1.22 apply (zenon_L419_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L747_); trivial. % 1.08/1.22 apply (zenon_L427_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L748_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L60_); trivial. % 1.08/1.22 apply (zenon_L438_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L454_); trivial. % 1.08/1.22 apply (zenon_L595_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L454_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L707_); trivial. % 1.08/1.22 apply (zenon_L463_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L748_); trivial. % 1.08/1.22 apply (zenon_L750_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L481_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L751_); trivial. % 1.08/1.22 apply (zenon_L479_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L494_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L751_); trivial. % 1.08/1.22 apply (zenon_L492_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_L562_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L646_); trivial. % 1.08/1.22 apply (zenon_L571_); trivial. % 1.08/1.22 apply (zenon_L574_); trivial. % 1.08/1.22 apply (zenon_L753_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L646_); trivial. % 1.08/1.22 apply (zenon_L581_); trivial. % 1.08/1.22 apply (zenon_L586_); trivial. % 1.08/1.22 apply (zenon_L753_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L646_); trivial. % 1.08/1.22 apply (zenon_L591_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L594_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L606_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 1.08/1.22 apply (zenon_L456_); trivial. % 1.08/1.22 apply (zenon_L510_); trivial. % 1.08/1.22 apply (zenon_L210_); trivial. % 1.08/1.22 apply (zenon_L56_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hdf). zenon_intro zenon_Hf. zenon_intro zenon_He1. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He1). zenon_intro zenon_Hd7. zenon_intro zenon_He2. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He2). zenon_intro zenon_Hd8. zenon_intro zenon_Hd6. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L417_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1db); [ zenon_intro zenon_H19c | zenon_intro zenon_H1dc ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H1fc); [ zenon_intro zenon_H1e4 | zenon_intro zenon_H1f9 ]. % 1.08/1.22 apply (zenon_L461_); trivial. % 1.08/1.22 apply (zenon_L510_); trivial. % 1.08/1.22 apply (zenon_L210_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L604_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L707_); trivial. % 1.08/1.22 apply (zenon_L620_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L646_); trivial. % 1.08/1.22 apply (zenon_L628_); trivial. % 1.08/1.22 apply (zenon_L631_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L756_); trivial. % 1.08/1.22 apply (zenon_L479_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L756_); trivial. % 1.08/1.22 apply (zenon_L492_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Hf. zenon_intro zenon_H331. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H29e. zenon_intro zenon_H332. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H29f. zenon_intro zenon_H29d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c | zenon_intro zenon_H329 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L760_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L762_); trivial. % 1.08/1.22 apply (zenon_L47_); trivial. % 1.08/1.22 apply (zenon_L294_); trivial. % 1.08/1.22 apply (zenon_L766_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L767_); trivial. % 1.08/1.22 apply (zenon_L198_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L96_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L767_); trivial. % 1.08/1.22 apply (zenon_L303_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L773_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_L777_); trivial. % 1.08/1.22 apply (zenon_L779_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_L780_); trivial. % 1.08/1.22 apply (zenon_L779_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L792_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L787_); trivial. % 1.08/1.22 apply (zenon_L796_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L795_); trivial. % 1.08/1.22 apply (zenon_L303_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L792_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L787_); trivial. % 1.08/1.22 apply (zenon_L802_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H42); [ zenon_intro zenon_H1 | zenon_intro zenon_H3d ]. % 1.08/1.22 apply (zenon_L3_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3d). zenon_intro zenon_Hf. zenon_intro zenon_H3f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H3f). zenon_intro zenon_H1e. zenon_intro zenon_H40. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H40). zenon_intro zenon_H1c. zenon_intro zenon_H1d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L804_); trivial. % 1.08/1.22 apply (zenon_L366_); trivial. % 1.08/1.22 apply (zenon_L802_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hf. zenon_intro zenon_H32d. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H268. zenon_intro zenon_H32e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H269. zenon_intro zenon_H26a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L808_); trivial. % 1.08/1.22 apply (zenon_L521_); trivial. % 1.08/1.22 apply (zenon_L396_); trivial. % 1.08/1.22 apply (zenon_L813_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L808_); trivial. % 1.08/1.22 apply (zenon_L427_); trivial. % 1.08/1.22 apply (zenon_L772_); trivial. % 1.08/1.22 apply (zenon_L813_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L814_); trivial. % 1.08/1.22 apply (zenon_L813_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H151); [ zenon_intro zenon_H12b | zenon_intro zenon_H14c ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H152); [ zenon_intro zenon_H117 | zenon_intro zenon_H13d ]. % 1.08/1.22 apply (zenon_L411_); trivial. % 1.08/1.22 apply (zenon_L815_); trivial. % 1.08/1.22 apply (zenon_L83_); trivial. % 1.08/1.22 apply (zenon_L513_); trivial. % 1.08/1.22 apply (zenon_L789_); trivial. % 1.08/1.22 apply (zenon_L817_); trivial. % 1.08/1.22 apply (zenon_L427_); trivial. % 1.08/1.22 apply (zenon_L772_); trivial. % 1.08/1.22 apply (zenon_L813_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H326). zenon_intro zenon_Hf. zenon_intro zenon_H333. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H333). zenon_intro zenon_H2ae. zenon_intro zenon_H334. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H334). zenon_intro zenon_H2af. zenon_intro zenon_H2ad. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2bf); [ zenon_intro zenon_H2a | zenon_intro zenon_H327 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c1); [ zenon_intro zenon_H51 | zenon_intro zenon_H328 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c | zenon_intro zenon_H329 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L27_); trivial. % 1.08/1.22 apply (zenon_L828_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L27_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L830_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_L97_); trivial. % 1.08/1.22 apply (zenon_L832_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L836_); trivial. % 1.08/1.22 apply (zenon_L26_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L839_); trivial. % 1.08/1.22 apply (zenon_L26_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L189_); trivial. % 1.08/1.22 apply (zenon_L843_); trivial. % 1.08/1.22 apply (zenon_L26_); trivial. % 1.08/1.22 apply (zenon_L848_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L849_); trivial. % 1.08/1.22 apply (zenon_L26_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He7). zenon_intro zenon_Hf. zenon_intro zenon_He8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He8). zenon_intro zenon_Hb6. zenon_intro zenon_He9. % 1.08/1.22 apply (zenon_and_s _ _ zenon_He9). zenon_intro zenon_Hb4. zenon_intro zenon_Hb5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L850_); trivial. % 1.08/1.22 apply (zenon_L26_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L851_); trivial. % 1.08/1.22 apply (zenon_L26_); trivial. % 1.08/1.22 apply (zenon_L852_); trivial. % 1.08/1.22 apply (zenon_L832_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hf. zenon_intro zenon_H32d. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H268. zenon_intro zenon_H32e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H269. zenon_intro zenon_H26a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L390_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L854_); trivial. % 1.08/1.22 apply (zenon_L857_); trivial. % 1.08/1.22 apply (zenon_L396_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L30_); trivial. % 1.08/1.22 apply (zenon_L858_); trivial. % 1.08/1.22 apply (zenon_L860_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L854_); trivial. % 1.08/1.22 apply (zenon_L559_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L861_); trivial. % 1.08/1.22 apply (zenon_L864_); trivial. % 1.08/1.22 apply (zenon_L561_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L398_); trivial. % 1.08/1.22 apply (zenon_L865_); trivial. % 1.08/1.22 apply (zenon_L831_); trivial. % 1.08/1.22 apply (zenon_L866_); trivial. % 1.08/1.22 apply (zenon_L868_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L443_); trivial. % 1.08/1.22 apply (zenon_L865_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L444_); trivial. % 1.08/1.22 apply (zenon_L865_); trivial. % 1.08/1.22 apply (zenon_L59_); trivial. % 1.08/1.22 apply (zenon_L831_); trivial. % 1.08/1.22 apply (zenon_L869_); trivial. % 1.08/1.22 apply (zenon_L870_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L873_); trivial. % 1.08/1.22 apply (zenon_L868_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L881_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_L878_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L882_); trivial. % 1.08/1.22 apply (zenon_L561_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b6). zenon_intro zenon_Hf. zenon_intro zenon_H2b7. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b7). zenon_intro zenon_H174. zenon_intro zenon_H2b8. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H2b8). zenon_intro zenon_H16d. zenon_intro zenon_H16c. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_L886_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L187_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.08/1.22 apply (zenon_L887_); trivial. % 1.08/1.22 apply (zenon_L212_); trivial. % 1.08/1.22 apply (zenon_L59_); trivial. % 1.08/1.22 apply (zenon_L831_); trivial. % 1.08/1.22 apply (zenon_L866_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_L889_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hcf). zenon_intro zenon_Hf. zenon_intro zenon_Hd1. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hd1). zenon_intro zenon_Hc6. zenon_intro zenon_Hd2. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hd2). zenon_intro zenon_Hc4. zenon_intro zenon_Hc5. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L187_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Ha9). zenon_intro zenon_Hf. zenon_intro zenon_Hab. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hab). zenon_intro zenon_H76. zenon_intro zenon_Hac. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hac). zenon_intro zenon_H77. zenon_intro zenon_H75. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Haa); [ zenon_intro zenon_H7e | zenon_intro zenon_Ha4 ]. % 1.08/1.22 apply (zenon_L887_); trivial. % 1.08/1.22 apply (zenon_L513_); trivial. % 1.08/1.22 apply (zenon_L59_); trivial. % 1.08/1.22 apply (zenon_L831_); trivial. % 1.08/1.22 apply (zenon_L866_); trivial. % 1.08/1.22 apply (zenon_L892_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H328). zenon_intro zenon_Hf. zenon_intro zenon_H32f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32f). zenon_intro zenon_H294. zenon_intro zenon_H330. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H330). zenon_intro zenon_H292. zenon_intro zenon_H293. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c | zenon_intro zenon_H329 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L640_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L641_); trivial. % 1.08/1.22 apply (zenon_L827_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L640_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L641_); trivial. % 1.08/1.22 apply (zenon_L829_); trivial. % 1.08/1.22 apply (zenon_L642_); trivial. % 1.08/1.22 apply (zenon_L895_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L900_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L901_); trivial. % 1.08/1.22 apply (zenon_L903_); trivial. % 1.08/1.22 apply (zenon_L848_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L849_); trivial. % 1.08/1.22 apply (zenon_L904_); trivial. % 1.08/1.22 apply (zenon_L906_); trivial. % 1.08/1.22 apply (zenon_L268_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L907_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L901_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_L909_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L849_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_L906_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H58); [ zenon_intro zenon_H43 | zenon_intro zenon_H53 ]. % 1.08/1.22 apply (zenon_L851_); trivial. % 1.08/1.22 apply (zenon_L656_); trivial. % 1.08/1.22 apply (zenon_L910_); trivial. % 1.08/1.22 apply (zenon_L895_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hf. zenon_intro zenon_H32d. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H268. zenon_intro zenon_H32e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H269. zenon_intro zenon_H26a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L744_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L911_); trivial. % 1.08/1.22 apply (zenon_L559_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H166); [ zenon_intro zenon_H3 | zenon_intro zenon_H168 ]. % 1.08/1.22 apply (zenon_L20_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H168). zenon_intro zenon_Hf. zenon_intro zenon_H169. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H169). zenon_intro zenon_Hed. zenon_intro zenon_H16a. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H16a). zenon_intro zenon_Hec. zenon_intro zenon_Heb. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L911_); trivial. % 1.08/1.22 apply (zenon_L561_); trivial. % 1.08/1.22 apply (zenon_L913_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_L881_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L914_); trivial. % 1.08/1.22 apply (zenon_L864_); trivial. % 1.08/1.22 apply (zenon_L559_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L183_); trivial. % 1.08/1.22 apply (zenon_L916_); trivial. % 1.08/1.22 apply (zenon_L917_); trivial. % 1.08/1.22 apply (zenon_L59_); trivial. % 1.08/1.22 apply (zenon_L864_); trivial. % 1.08/1.22 apply (zenon_L559_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_L919_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24d). zenon_intro zenon_Hf. zenon_intro zenon_H24e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24e). zenon_intro zenon_H22a. zenon_intro zenon_H24f. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H24f). zenon_intro zenon_H22b. zenon_intro zenon_H248. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_He3); [ zenon_intro zenon_Hcd | zenon_intro zenon_Hdf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hd4); [ zenon_intro zenon_Hbf | zenon_intro zenon_Hcf ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L279_); trivial. % 1.08/1.22 apply (zenon_L916_); trivial. % 1.08/1.22 apply (zenon_L917_); trivial. % 1.08/1.22 apply (zenon_L59_); trivial. % 1.08/1.22 apply (zenon_L864_); trivial. % 1.08/1.22 apply (zenon_L561_); trivial. % 1.08/1.22 apply (zenon_L913_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H327). zenon_intro zenon_Hf. zenon_intro zenon_H331. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H331). zenon_intro zenon_H29e. zenon_intro zenon_H332. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H332). zenon_intro zenon_H29f. zenon_intro zenon_H29d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c3); [ zenon_intro zenon_H2c | zenon_intro zenon_H329 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hb2); [ zenon_intro zenon_H5b | zenon_intro zenon_Had ]. % 1.08/1.22 apply (zenon_L760_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Had). zenon_intro zenon_Hf. zenon_intro zenon_Haf. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Haf). zenon_intro zenon_H98. zenon_intro zenon_Hb0. % 1.08/1.22 apply (zenon_and_s _ _ zenon_Hb0). zenon_intro zenon_H97. zenon_intro zenon_Hb1. % 1.08/1.22 apply (zenon_or_s _ _ zenon_Hae); [ zenon_intro zenon_H6e | zenon_intro zenon_Ha9 ]. % 1.08/1.22 apply (zenon_L762_); trivial. % 1.08/1.22 apply (zenon_L922_); trivial. % 1.08/1.22 apply (zenon_L848_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L925_); trivial. % 1.08/1.22 apply (zenon_L848_); trivial. % 1.08/1.22 apply (zenon_L772_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L927_); trivial. % 1.08/1.22 apply (zenon_L848_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L927_); trivial. % 1.08/1.22 apply (zenon_L852_); trivial. % 1.08/1.22 apply (zenon_L929_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L932_); trivial. % 1.08/1.22 apply (zenon_L848_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L932_); trivial. % 1.08/1.22 apply (zenon_L852_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H329). zenon_intro zenon_Hf. zenon_intro zenon_H32d. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32d). zenon_intro zenon_H268. zenon_intro zenon_H32e. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32e). zenon_intro zenon_H269. zenon_intro zenon_H26a. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c5); [ zenon_intro zenon_H39 | zenon_intro zenon_H32a ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L925_); trivial. % 1.08/1.22 apply (zenon_L857_); trivial. % 1.08/1.22 apply (zenon_L772_); trivial. % 1.08/1.22 apply (zenon_L936_); trivial. % 1.08/1.22 apply (zenon_L929_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32a). zenon_intro zenon_Hf. zenon_intro zenon_H32b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32b). zenon_intro zenon_H21b. zenon_intro zenon_H32c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H32c). zenon_intro zenon_H214. zenon_intro zenon_H213. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H2c7); [ zenon_intro zenon_H3b | zenon_intro zenon_H2b6 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28d); [ zenon_intro zenon_Ha | zenon_intro zenon_H28f ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L385_); trivial. % 1.08/1.22 apply (zenon_L939_); trivial. % 1.08/1.22 apply (zenon_L772_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H28f). zenon_intro zenon_Hf. zenon_intro zenon_H290. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H290). zenon_intro zenon_H15b. zenon_intro zenon_H291. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H291). zenon_intro zenon_H15c. zenon_intro zenon_H15d. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H28e); [ zenon_intro zenon_Hbd | zenon_intro zenon_H275 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_L946_); trivial. % 1.08/1.22 apply (zenon_L939_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H275). zenon_intro zenon_Hf. zenon_intro zenon_H276. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H276). zenon_intro zenon_H110. zenon_intro zenon_H277. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H277). zenon_intro zenon_H10e. zenon_intro zenon_H10f. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H254); [ zenon_intro zenon_H6 | zenon_intro zenon_H255 ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H253); [ zenon_intro zenon_H226 | zenon_intro zenon_H24d ]. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L940_); trivial. % 1.08/1.22 apply (zenon_L935_); trivial. % 1.08/1.22 apply (zenon_L948_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H255). zenon_intro zenon_Hf. zenon_intro zenon_H256. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H256). zenon_intro zenon_H60. zenon_intro zenon_H257. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H257). zenon_intro zenon_H62. zenon_intro zenon_H61. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H167); [ zenon_intro zenon_H59 | zenon_intro zenon_H10a ]. % 1.08/1.22 apply (zenon_L758_); trivial. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10a). zenon_intro zenon_Hf. zenon_intro zenon_H10b. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10b). zenon_intro zenon_Hfa. zenon_intro zenon_H10c. % 1.08/1.22 apply (zenon_and_s _ _ zenon_H10c). zenon_intro zenon_Hfc. zenon_intro zenon_H103. % 1.08/1.22 apply (zenon_or_s _ _ zenon_H211); [ zenon_intro zenon_H70 | zenon_intro zenon_He7 ]. % 1.08/1.22 apply (zenon_L938_); trivial. % 1.08/1.22 apply (zenon_L935_); trivial. % 1.08/1.22 apply (zenon_L929_); trivial. % 1.08/1.22 Qed. % 1.08/1.22 % SZS output end Proof % 1.08/1.22 (* END-PROOF *) % 1.08/1.22 nodes searched: 35886 % 1.08/1.22 max branch formulas: 452 % 1.08/1.22 proof nodes created: 7128 % 1.08/1.22 formulas created: 38589 % 1.08/1.22 %------------------------------------------------------------------------------